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<title>init: Initialisation schemes — hypercoil prototype (unreleased) documentation</title>
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<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.cov.html"><code class="docutils literal notranslate"><span class="pre">cov</span></code>: Covariances and correlations</a><input class="toctree-checkbox" id="toctree-checkbox-6" name="toctree-checkbox-6" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-6"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.cov.html"><code class="docutils literal notranslate"><span class="pre">cov</span></code>: Covariance</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.corr.html"><code class="docutils literal notranslate"><span class="pre">corr</span></code>: Pearson correlation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.partialcov.html"><code class="docutils literal notranslate"><span class="pre">partialcov</span></code>: Partial covariance</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.partialcorr.html"><code class="docutils literal notranslate"><span class="pre">partialcorr</span></code>: Partial correlation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.pairedcov.html"><code class="docutils literal notranslate"><span class="pre">pairedcov</span></code>: Paired covariance</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.pairedcorr.html"><code class="docutils literal notranslate"><span class="pre">pairedcorr</span></code>: Paired correlation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.conditionalcov.html"><code class="docutils literal notranslate"><span class="pre">conditionalcov</span></code>: Conditional covariance</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.conditionalcorr.html"><code class="docutils literal notranslate"><span class="pre">conditionalcorr</span></code>: Conditional correlation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.cov.precision.html"><code class="docutils literal notranslate"><span class="pre">precision</span></code>: Inverse covariance (precision)</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.fourier.html"><code class="docutils literal notranslate"><span class="pre">fourier</span></code>: Frequency-domain filter</a><input class="toctree-checkbox" id="toctree-checkbox-7" name="toctree-checkbox-7" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-7"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.product_filter.html"><code class="docutils literal notranslate"><span class="pre">product_filter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.product_filtfilt.html"><code class="docutils literal notranslate"><span class="pre">product_filtfilt</span></code>: Zero-phase filter</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.unwrap.html"><code class="docutils literal notranslate"><span class="pre">unwrap</span></code>: Unwrap phase</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.analytic_signal.html"><code class="docutils literal notranslate"><span class="pre">analytic_signal</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.hilbert_transform.html"><code class="docutils literal notranslate"><span class="pre">hilbert_transform</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.envelope.html"><code class="docutils literal notranslate"><span class="pre">envelope</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.instantaneous_phase.html"><code class="docutils literal notranslate"><span class="pre">instantaneous_phase</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.instantaneous_frequency.html"><code class="docutils literal notranslate"><span class="pre">instantaneous_frequency</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.fourier.env_inst.html"><code class="docutils literal notranslate"><span class="pre">env_inst</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.graph.html"><code class="docutils literal notranslate"><span class="pre">graph</span></code>: Graphs and networks</a><input class="toctree-checkbox" id="toctree-checkbox-8" name="toctree-checkbox-8" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-8"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.graph.girvan_newman_null.html"><code class="docutils literal notranslate"><span class="pre">girvan_newman_null</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.graph.modularity_matrix.html"><code class="docutils literal notranslate"><span class="pre">modularity_matrix</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.graph.coaffiliation.html"><code class="docutils literal notranslate"><span class="pre">coaffiliation</span></code>: Community coaffiliation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.graph.relaxed_modularity.html"><code class="docutils literal notranslate"><span class="pre">relaxed_modularity</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.graph.graph_laplacian.html"><code class="docutils literal notranslate"><span class="pre">graph_laplacian</span></code>: Graph Laplacian</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.interpolate.html"><code class="docutils literal notranslate"><span class="pre">interpolate</span></code>: Interpolation and imputation</a><input class="toctree-checkbox" id="toctree-checkbox-9" name="toctree-checkbox-9" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-9"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.interpolate.hybrid_interpolate.html"><code class="docutils literal notranslate"><span class="pre">hybrid_interpolate</span></code>: Linear + spectral interpolation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.interpolate.linear_interpolate.html"><code class="docutils literal notranslate"><span class="pre">linear_interpolate</span></code>: Linear interpolation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.interpolate.weighted_interpolate.html"><code class="docutils literal notranslate"><span class="pre">weighted_interpolate</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.interpolate.spectral_interpolate.html"><code class="docutils literal notranslate"><span class="pre">spectral_interpolate</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.kernel.html"><code class="docutils literal notranslate"><span class="pre">kernel</span></code>: Parameterised kernels</a><input class="toctree-checkbox" id="toctree-checkbox-10" name="toctree-checkbox-10" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-10"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.linear_kernel.html"><code class="docutils literal notranslate"><span class="pre">linear_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.param_norm.html"><code class="docutils literal notranslate"><span class="pre">param_norm</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.linear_distance.html"><code class="docutils literal notranslate"><span class="pre">linear_distance</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.polynomial_kernel.html"><code class="docutils literal notranslate"><span class="pre">polynomial_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.sigmoid_kernel.html"><code class="docutils literal notranslate"><span class="pre">sigmoid_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.gaussian_kernel.html"><code class="docutils literal notranslate"><span class="pre">gaussian_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.rbf_kernel.html"><code class="docutils literal notranslate"><span class="pre">rbf_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.cosine_kernel.html"><code class="docutils literal notranslate"><span class="pre">cosine_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.cov_kernel.html"><code class="docutils literal notranslate"><span class="pre">cov_kernel</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.kernel.corr_kernel.html"><code class="docutils literal notranslate"><span class="pre">corr_kernel</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.matrix.html"><code class="docutils literal notranslate"><span class="pre">matrix</span></code>: Matrix operations</a><input class="toctree-checkbox" id="toctree-checkbox-11" name="toctree-checkbox-11" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-11"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.cholesky_invert.html"><code class="docutils literal notranslate"><span class="pre">cholesky_invert</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.symmetric.html"><code class="docutils literal notranslate"><span class="pre">symmetric</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.spd.html"><code class="docutils literal notranslate"><span class="pre">spd</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.expand_outer.html"><code class="docutils literal notranslate"><span class="pre">expand_outer</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.recondition_eigenspaces.html"><code class="docutils literal notranslate"><span class="pre">recondition_eigenspaces</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.delete_diagonal.html"><code class="docutils literal notranslate"><span class="pre">delete_diagonal</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.diag_embed.html"><code class="docutils literal notranslate"><span class="pre">diag_embed</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.fill_diagonal.html"><code class="docutils literal notranslate"><span class="pre">fill_diagonal</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.toeplitz_2d.html"><code class="docutils literal notranslate"><span class="pre">toeplitz_2d</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.toeplitz.html"><code class="docutils literal notranslate"><span class="pre">toeplitz</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.sym2vec.html"><code class="docutils literal notranslate"><span class="pre">sym2vec</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.vec2sym.html"><code class="docutils literal notranslate"><span class="pre">vec2sym</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.matrix.squareform.html"><code class="docutils literal notranslate"><span class="pre">squareform</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.functional.resid.residualise.html"><code class="docutils literal notranslate"><span class="pre">residualise</span></code></a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.semidefinite.html"><code class="docutils literal notranslate"><span class="pre">semidefinite</span></code>: Positive semidefinite cone</a><input class="toctree-checkbox" id="toctree-checkbox-12" name="toctree-checkbox-12" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-12"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.semidefinite.tangent_project_spd.html"><code class="docutils literal notranslate"><span class="pre">tangent_project_spd</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.semidefinite.cone_project_spd.html"><code class="docutils literal notranslate"><span class="pre">cone_project_spd</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.semidefinite.mean_euc_spd.html"><code class="docutils literal notranslate"><span class="pre">mean_euc_spd</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.semidefinite.mean_harm_spd.html"><code class="docutils literal notranslate"><span class="pre">mean_harm_spd</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.semidefinite.mean_logeuc_spd.html"><code class="docutils literal notranslate"><span class="pre">mean_logeuc_spd</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.semidefinite.mean_geom_spd.html"><code class="docutils literal notranslate"><span class="pre">mean_geom_spd</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.sparse.html"><code class="docutils literal notranslate"><span class="pre">sparse</span></code>: Sparse matrix operations</a><input class="toctree-checkbox" id="toctree-checkbox-13" name="toctree-checkbox-13" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-13"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.random_sparse.html"><code class="docutils literal notranslate"><span class="pre">random_sparse</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.spdiagmm.html"><code class="docutils literal notranslate"><span class="pre">spdiagmm</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.dspdmm.html"><code class="docutils literal notranslate"><span class="pre">dspdmm</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.spspmm_full.html"><code class="docutils literal notranslate"><span class="pre">spspmm_full</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.topk.html"><code class="docutils literal notranslate"><span class="pre">topk</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.as_topk.html"><code class="docutils literal notranslate"><span class="pre">as_topk</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.full_as_topk.html"><code class="docutils literal notranslate"><span class="pre">full_as_topk</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.sparse_astype.html"><code class="docutils literal notranslate"><span class="pre">sparse_astype</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.trace_spspmm.html"><code class="docutils literal notranslate"><span class="pre">trace_spspmm</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.spspmm.html"><code class="docutils literal notranslate"><span class="pre">spspmm</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.spsp_pairdiff.html"><code class="docutils literal notranslate"><span class="pre">spsp_pairdiff</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.select_indices.html"><code class="docutils literal notranslate"><span class="pre">select_indices</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.topkx.html"><code class="docutils literal notranslate"><span class="pre">topkx</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.sp_block_serialise.html"><code class="docutils literal notranslate"><span class="pre">sp_block_serialise</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.splr_hadamard.html"><code class="docutils literal notranslate"><span class="pre">splr_hadamard</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.spsp_innerpaired.html"><code class="docutils literal notranslate"><span class="pre">spsp_innerpaired</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.topk_to_bcoo.html"><code class="docutils literal notranslate"><span class="pre">topk_to_bcoo</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.topk_diagzero.html"><code class="docutils literal notranslate"><span class="pre">topk_diagzero</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.topk_diagreplace.html"><code class="docutils literal notranslate"><span class="pre">topk_diagreplace</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sparse.block_serialise.html"><code class="docutils literal notranslate"><span class="pre">block_serialise</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.sphere.html"><code class="docutils literal notranslate"><span class="pre">sphere</span></code>: Spherical coordinates</a><input class="toctree-checkbox" id="toctree-checkbox-14" name="toctree-checkbox-14" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-14"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sphere.spherical_geodesic.html"><code class="docutils literal notranslate"><span class="pre">spherical_geodesic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sphere.sphere_to_normals.html"><code class="docutils literal notranslate"><span class="pre">sphere_to_normals</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sphere.sphere_to_latlong.html"><code class="docutils literal notranslate"><span class="pre">sphere_to_latlong</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sphere.spatial_conv.html"><code class="docutils literal notranslate"><span class="pre">spatial_conv</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sphere.spherical_conv.html"><code class="docutils literal notranslate"><span class="pre">spherical_conv</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.sphere.euclidean_conv.html"><code class="docutils literal notranslate"><span class="pre">euclidean_conv</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.functional.sylo.html"><code class="docutils literal notranslate"><span class="pre">sylo</span></code>: Sylo function</a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.symmap.html"><code class="docutils literal notranslate"><span class="pre">symmap</span></code>: Symmetric matrix maps</a><input class="toctree-checkbox" id="toctree-checkbox-15" name="toctree-checkbox-15" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-15"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.symmap.symmap.html"><code class="docutils literal notranslate"><span class="pre">symmap</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.symmap.symexp.html"><code class="docutils literal notranslate"><span class="pre">symexp</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.symmap.symlog.html"><code class="docutils literal notranslate"><span class="pre">symlog</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.symmap.symsqrt.html"><code class="docutils literal notranslate"><span class="pre">symsqrt</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.tsconv.html"><code class="docutils literal notranslate"><span class="pre">tsconv</span></code>: Time series convolution</a><input class="toctree-checkbox" id="toctree-checkbox-16" name="toctree-checkbox-16" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-16"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.tsconv.conv.html"><code class="docutils literal notranslate"><span class="pre">conv</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.tsconv.tsconv2d.html"><code class="docutils literal notranslate"><span class="pre">tsconv2d</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.tsconv.basischan.html"><code class="docutils literal notranslate"><span class="pre">basischan</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.tsconv.basisconv2d.html"><code class="docutils literal notranslate"><span class="pre">basisconv2d</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.tsconv.polychan.html"><code class="docutils literal notranslate"><span class="pre">polychan</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.tsconv.polyconv2d.html"><code class="docutils literal notranslate"><span class="pre">polyconv2d</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.utils.html"><code class="docutils literal notranslate"><span class="pre">utils</span></code>: Miscellaneous</a><input class="toctree-checkbox" id="toctree-checkbox-17" name="toctree-checkbox-17" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-17"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.utils.conform_mask.html"><code class="docutils literal notranslate"><span class="pre">conform_mask</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.utils.apply_mask.html"><code class="docutils literal notranslate"><span class="pre">apply_mask</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.utils.mask_tensor.html"><code class="docutils literal notranslate"><span class="pre">mask_tensor</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.utils.complex_decompose.html"><code class="docutils literal notranslate"><span class="pre">complex_decompose</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.utils.complex_recompose.html"><code class="docutils literal notranslate"><span class="pre">complex_recompose</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.utils.amplitude_apply.html"><code class="docutils literal notranslate"><span class="pre">amplitude_apply</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.functional.window.html"><code class="docutils literal notranslate"><span class="pre">window</span></code>: Random windowing</a><input class="toctree-checkbox" id="toctree-checkbox-18" name="toctree-checkbox-18" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-18"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.window.sample_windows.html"><code class="docutils literal notranslate"><span class="pre">sample_windows</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.window.sample_nonoverlapping_windows_existing_ax.html"><code class="docutils literal notranslate"><span class="pre">sample_nonoverlapping_windows_existing_ax</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.window.sample_nonoverlapping_windows_new_ax.html"><code class="docutils literal notranslate"><span class="pre">sample_nonoverlapping_windows_new_ax</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.window.sample_overlapping_windows_new_ax.html"><code class="docutils literal notranslate"><span class="pre">sample_overlapping_windows_new_ax</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.functional.window.sample_overlapping_windows_existing_ax.html"><code class="docutils literal notranslate"><span class="pre">sample_overlapping_windows_existing_ax</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1 current active has-children"><a class="current reference internal" href="#"><code class="docutils literal notranslate"><span class="pre">init</span></code>: Initialisation schemes</a><input checked="" class="toctree-checkbox" id="toctree-checkbox-19" name="toctree-checkbox-19" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-19"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.init.atlas.html"><code class="docutils literal notranslate"><span class="pre">atlas</span></code>: Atlas initialisation</a><input class="toctree-checkbox" id="toctree-checkbox-20" name="toctree-checkbox-20" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-20"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.BaseAtlas.html"><code class="docutils literal notranslate"><span class="pre">BaseAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitBaseAtlas.html"><code class="docutils literal notranslate"><span class="pre">DirichletInitBaseAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DiscreteVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">DiscreteVolumetricAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.MultiVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">MultiVolumetricAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.MultifileVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">MultifileVolumetricAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.CortexSubcortexCIfTIAtlas.html"><code class="docutils literal notranslate"><span class="pre">CortexSubcortexCIfTIAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">DirichletInitVolumetricAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitSurfaceAtlas.html"><code class="docutils literal notranslate"><span class="pre">DirichletInitSurfaceAtlas</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.AtlasInitialiser.html"><code class="docutils literal notranslate"><span class="pre">AtlasInitialiser</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html"><code class="docutils literal notranslate"><span class="pre">atlasmixins</span></code>: Atlas mixins</a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.init.base.html"><code class="docutils literal notranslate"><span class="pre">base</span></code>: Base initialisations</a><input class="toctree-checkbox" id="toctree-checkbox-21" name="toctree-checkbox-21" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-21"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.from_distr_init.html"><code class="docutils literal notranslate"><span class="pre">from_distr_init</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.constant_init.html"><code class="docutils literal notranslate"><span class="pre">constant_init</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.identity_init.html"><code class="docutils literal notranslate"><span class="pre">identity_init</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.MappedInitialiser.html"><code class="docutils literal notranslate"><span class="pre">MappedInitialiser</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.DistributionInitialiser.html"><code class="docutils literal notranslate"><span class="pre">DistributionInitialiser</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.IdentityInitialiser.html"><code class="docutils literal notranslate"><span class="pre">IdentityInitialiser</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.deltaplus.html"><code class="docutils literal notranslate"><span class="pre">deltaplus</span></code></a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.dirichlet.html"><code class="docutils literal notranslate"><span class="pre">dirichlet</span></code></a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.init.freqfilter.html"><code class="docutils literal notranslate"><span class="pre">freqfilter</span></code>: Frequency band init</a><input class="toctree-checkbox" id="toctree-checkbox-22" name="toctree-checkbox-22" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-22"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.freqfilter.FreqFilterSpec.html"><code class="docutils literal notranslate"><span class="pre">FreqFilterSpec</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.iirfilter.html"><code class="docutils literal notranslate"><span class="pre">iirfilter</span></code>: IIR filter init</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.laplace.html"><code class="docutils literal notranslate"><span class="pre">laplace</span></code></a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.init.mapparam.html"><code class="docutils literal notranslate"><span class="pre">mapparam</span></code>: Mapped parameters and parameter maps</a><input class="toctree-checkbox" id="toctree-checkbox-23" name="toctree-checkbox-23" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-23"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.MappedParameter.html"><code class="docutils literal notranslate"><span class="pre">MappedParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.DomainMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">DomainMappedParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.IdentityMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">IdentityMappedParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.AffineMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">AffineMappedParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.TanhMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">TanhMappedParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.AmplitudeTanhMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">AmplitudeTanhMappedParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.MappedLogits.html"><code class="docutils literal notranslate"><span class="pre">MappedLogits</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.NormSphereParameter.html"><code class="docutils literal notranslate"><span class="pre">NormSphereParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.ProbabilitySimplexParameter.html"><code class="docutils literal notranslate"><span class="pre">ProbabilitySimplexParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.AmplitudeProbabilitySimplexParameter.html"><code class="docutils literal notranslate"><span class="pre">AmplitudeProbabilitySimplexParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.OrthogonalParameter.html"><code class="docutils literal notranslate"><span class="pre">OrthogonalParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.IsochoricParameter.html"><code class="docutils literal notranslate"><span class="pre">IsochoricParameter</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.Clip.html"><code class="docutils literal notranslate"><span class="pre">Clip</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.Renormalise.html"><code class="docutils literal notranslate"><span class="pre">Renormalise</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.ForcePositiveDefinite.html"><code class="docutils literal notranslate"><span class="pre">ForcePositiveDefinite</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.PhaseAmplitudeMixin.html"><code class="docutils literal notranslate"><span class="pre">PhaseAmplitudeMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mpbl.html"><code class="docutils literal notranslate"><span class="pre">mpbl</span></code></a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.init.semidefinite.html"><code class="docutils literal notranslate"><span class="pre">semidefinite</span></code></a><input class="toctree-checkbox" id="toctree-checkbox-24" name="toctree-checkbox-24" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-24"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.semidefinite.TangencyInitialiser.html"><code class="docutils literal notranslate"><span class="pre">TangencyInitialiser</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.semidefinite.SemidefiniteMean.html"><code class="docutils literal notranslate"><span class="pre">SemidefiniteMean</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.sylo.html"><code class="docutils literal notranslate"><span class="pre">sylo</span></code></a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.toeplitz.html"><code class="docutils literal notranslate"><span class="pre">toeplitz</span></code></a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="loss.html"><code class="docutils literal notranslate"><span class="pre">loss</span></code>: Loss and regularisation</a><input class="toctree-checkbox" id="toctree-checkbox-25" name="toctree-checkbox-25" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-25"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.Loss.html"><code class="docutils literal notranslate"><span class="pre">Loss</span></code>: Base class for scalar-valued losses</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.ParameterisedLoss.html"><code class="docutils literal notranslate"><span class="pre">ParameterisedLoss</span></code>: Extensible class for custom parameterised losses</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.MSELoss.html"><code class="docutils literal notranslate"><span class="pre">MSELoss</span></code>: Mean squared error</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.NormedLoss.html"><code class="docutils literal notranslate"><span class="pre">NormedLoss</span></code>: Normed parameter regularisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.identity.html"><code class="docutils literal notranslate"><span class="pre">identity</span></code>: Identity function</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.zero.html"><code class="docutils literal notranslate"><span class="pre">zero</span></code>: Zero function</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.difference.html"><code class="docutils literal notranslate"><span class="pre">difference</span></code>: Elementwise difference</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.constraint_violation.html"><code class="docutils literal notranslate"><span class="pre">constraint_violation</span></code>: Soft constraints</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.unilateral_loss.html"><code class="docutils literal notranslate"><span class="pre">unilateral_loss</span></code>: Unilateral penalties</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.hinge_loss.html"><code class="docutils literal notranslate"><span class="pre">hinge_loss</span></code>: SVM hinge loss</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.smoothness.html"><code class="docutils literal notranslate"><span class="pre">smoothness</span></code>: Backwards differences</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.bimodal_symmetric.html"><code class="docutils literal notranslate"><span class="pre">bimodal_symmetric</span></code>: Minimal distance from 2 modes</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.det_gram.html"><code class="docutils literal notranslate"><span class="pre">det_gram</span></code>: Gramian determinant</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.log_det_gram.html"><code class="docutils literal notranslate"><span class="pre">log_det_gram</span></code>: Gram log-determinant loss</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.entropy.html"><code class="docutils literal notranslate"><span class="pre">entropy</span></code>: Categorical entropy</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.kl_divergence.html"><code class="docutils literal notranslate"><span class="pre">kl_divergence</span></code>: Kullback-Leibler divergence</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.js_divergence.html"><code class="docutils literal notranslate"><span class="pre">js_divergence</span></code>: Jensen-Shannon divergence</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.bregman_divergence.html"><code class="docutils literal notranslate"><span class="pre">bregman_divergence</span></code>: Bregman divergences</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.equilibrium.html"><code class="docutils literal notranslate"><span class="pre">equilibrium</span></code>: Equilibrium loss</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.second_moment.html"><code class="docutils literal notranslate"><span class="pre">second_moment</span></code>: Second moments</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.auto_tol.html"><code class="docutils literal notranslate"><span class="pre">auto_tol</span></code>: Significance tolerance</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.batch_corr.html"><code class="docutils literal notranslate"><span class="pre">batch_corr</span></code>: Batch-axis correlation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.qcfc.html"><code class="docutils literal notranslate"><span class="pre">qcfc</span></code>: QC-FC measures and loss</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.reference_tether.html"><code class="docutils literal notranslate"><span class="pre">reference_tether</span></code>: Spatial tether to reference points</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.interhemispheric_tether.html"><code class="docutils literal notranslate"><span class="pre">interhemispheric_tether</span></code>: Inter-hemispheric tethering loss</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.compactness.html"><code class="docutils literal notranslate"><span class="pre">compactness</span></code>: Compactness</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.dispersion.html"><code class="docutils literal notranslate"><span class="pre">dispersion</span></code>: Vector dispersion</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.multivariate_kurtosis.html"><code class="docutils literal notranslate"><span class="pre">multivariate_kurtosis</span></code>: Time series stationarity</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.connectopy.html"><code class="docutils literal notranslate"><span class="pre">connectopy</span></code>: Generalised connectopy</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.modularity.html"><code class="docutils literal notranslate"><span class="pre">modularity</span></code>: Relaxed modularity</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.sum_scalarise.html"><code class="docutils literal notranslate"><span class="pre">sum_scalarise</span></code>: Sum scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.mean_scalarise.html"><code class="docutils literal notranslate"><span class="pre">mean_scalarise</span></code>: Mean scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.meansq_scalarise.html"><code class="docutils literal notranslate"><span class="pre">meansq_scalarise</span></code>: Squared mean scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.max_scalarise.html"><code class="docutils literal notranslate"><span class="pre">max_scalarise</span></code>: Maximum-value scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.norm_scalarise.html"><code class="docutils literal notranslate"><span class="pre">norm_scalarise</span></code>: Norm scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.vnorm_scalarise.html"><code class="docutils literal notranslate"><span class="pre">vnorm_scalarise</span></code>: Vector norm scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.wmean_scalarise.html"><code class="docutils literal notranslate"><span class="pre">wmean_scalarise</span></code>: Weighted mean scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scalarise.selfwmean_scalarise.html"><code class="docutils literal notranslate"><span class="pre">selfwmean_scalarise</span></code>: Self-weighted mean scalarisation</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scheme.LossApply.html"><code class="docutils literal notranslate"><span class="pre">LossApply</span></code>: Selectively apply loss to parameters</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.loss.scheme.LossScheme.html"><code class="docutils literal notranslate"><span class="pre">LossScheme</span></code>: Scheme for multiple losses</a></li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="neuro.html"><code class="docutils literal notranslate"><span class="pre">neuro</span></code>: Neuroscience data utilities</a><input class="toctree-checkbox" id="toctree-checkbox-26" name="toctree-checkbox-26" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-26"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.neuro.synth.html"><code class="docutils literal notranslate"><span class="pre">synth</span></code>: Data synthesis</a><input class="toctree-checkbox" id="toctree-checkbox-27" name="toctree-checkbox-27" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-27"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.neuro.synth.match_spectra.html"><code class="docutils literal notranslate"><span class="pre">match_spectra</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.neuro.synth.match_covariance.html"><code class="docutils literal notranslate"><span class="pre">match_covariance</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.neuro.synth.match_reference.html"><code class="docutils literal notranslate"><span class="pre">match_reference</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.neuro.synth.match_cov_and_spectrum.html"><code class="docutils literal notranslate"><span class="pre">match_cov_and_spectrum</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.neuro.synth.synthesise_matched.html"><code class="docutils literal notranslate"><span class="pre">synthesise_matched</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.neuro.synth.synthesise_from_cov_and_spectrum.html"><code class="docutils literal notranslate"><span class="pre">synthesise_from_cov_and_spectrum</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1 has-children"><a class="reference internal" href="nn.html"><code class="docutils literal notranslate"><span class="pre">nn</span></code>: Neural network modules</a><input class="toctree-checkbox" id="toctree-checkbox-28" name="toctree-checkbox-28" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-28"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.activation.html"><code class="docutils literal notranslate"><span class="pre">activation</span></code>: Activation functions as modules</a><input class="toctree-checkbox" id="toctree-checkbox-29" name="toctree-checkbox-29" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-29"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.activation.CorrelationNorm.html"><code class="docutils literal notranslate"><span class="pre">CorrelationNorm</span></code>: Correlation normalisation</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.activation.Isochor.html"><code class="docutils literal notranslate"><span class="pre">Isochor</span></code>: Isochoric normalisation</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.atlas.html"><code class="docutils literal notranslate"><span class="pre">atlas</span></code>: Atlas layers</a><input class="toctree-checkbox" id="toctree-checkbox-30" name="toctree-checkbox-30" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-30"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.atlas.AtlasLinear.html"><code class="docutils literal notranslate"><span class="pre">AtlasLinear</span></code>: Linear atlas layer</a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.cov.html"><code class="docutils literal notranslate"><span class="pre">cov</span></code>: Covariance modules</a><input class="toctree-checkbox" id="toctree-checkbox-31" name="toctree-checkbox-31" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-31"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.BaseCovariance.html"><code class="docutils literal notranslate"><span class="pre">BaseCovariance</span></code>: Covariance base class</a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.UnaryCovariance.html"><code class="docutils literal notranslate"><span class="pre">UnaryCovariance</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.UnaryCovarianceTW.html"><code class="docutils literal notranslate"><span class="pre">UnaryCovarianceTW</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.UnaryCovarianceUW.html"><code class="docutils literal notranslate"><span class="pre">UnaryCovarianceUW</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.BinaryCovariance.html"><code class="docutils literal notranslate"><span class="pre">BinaryCovariance</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.BinaryCovarianceTW.html"><code class="docutils literal notranslate"><span class="pre">BinaryCovarianceTW</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.cov.BinaryCovarianceUW.html"><code class="docutils literal notranslate"><span class="pre">BinaryCovarianceUW</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.nn.freqfilter.FrequencyDomainFilter.html"><code class="docutils literal notranslate"><span class="pre">freqfilter</span></code>: Frequency-domain filter layer</a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.nn.iirfilter.html"><code class="docutils literal notranslate"><span class="pre">iirfilter</span></code>: IIR filter layer</a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.interpolate.html"><code class="docutils literal notranslate"><span class="pre">interpolate</span></code>: Interpolation layers</a><input class="toctree-checkbox" id="toctree-checkbox-32" name="toctree-checkbox-32" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-32"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.interpolate.SpectralInterpolate.html"><code class="docutils literal notranslate"><span class="pre">SpectralInterpolate</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.interpolate.LinearInterpolate.html"><code class="docutils literal notranslate"><span class="pre">LinearInterpolate</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.interpolate.HybridInterpolate.html"><code class="docutils literal notranslate"><span class="pre">HybridInterpolate</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.recombinator.html"><code class="docutils literal notranslate"><span class="pre">recombinator</span></code></a><input class="toctree-checkbox" id="toctree-checkbox-33" name="toctree-checkbox-33" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-33"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.recombinator.Recombinator.html"><code class="docutils literal notranslate"><span class="pre">Recombinator</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.nn.resid.Residualise.html"><code class="docutils literal notranslate"><span class="pre">Residualise</span></code></a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.semidefinite.html"><code class="docutils literal notranslate"><span class="pre">semidefinite</span></code></a><input class="toctree-checkbox" id="toctree-checkbox-34" name="toctree-checkbox-34" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-34"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.semidefinite.TangentProject.html"><code class="docutils literal notranslate"><span class="pre">TangentProject</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.semidefinite.BatchTangentProject.html"><code class="docutils literal notranslate"><span class="pre">BatchTangentProject</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.nn.spdnoise.SPDNoise.html"><code class="docutils literal notranslate"><span class="pre">SPDNoise</span></code></a></li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.nn.svm.SVM.html"><code class="docutils literal notranslate"><span class="pre">SVM</span></code></a></li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.sylo.html"><code class="docutils literal notranslate"><span class="pre">sylo</span></code></a><input class="toctree-checkbox" id="toctree-checkbox-35" name="toctree-checkbox-35" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-35"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.sylo.Sylo.html"><code class="docutils literal notranslate"><span class="pre">Sylo</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.sylo.SyloResNet.html"><code class="docutils literal notranslate"><span class="pre">SyloResNet</span></code></a></li>
</ul>
</li>
<li class="toctree-l2 has-children"><a class="reference internal" href="api/hypercoil.nn.vertcom.html"><code class="docutils literal notranslate"><span class="pre">vertcom</span></code>: Vertex compression</a><input class="toctree-checkbox" id="toctree-checkbox-36" name="toctree-checkbox-36" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-36"><i class="fa-solid fa-chevron-down"></i></label><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.nn.vertcom.VerticalCompression.html"><code class="docutils literal notranslate"><span class="pre">VerticalCompression</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.nn.window.WindowAmplifier.html"><code class="docutils literal notranslate"><span class="pre">WindowAmplifier</span></code></a></li>
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<section id="module-hypercoil.init">
<span id="init-initialisation-schemes"></span><h1><code class="docutils literal notranslate"><span class="pre">init</span></code>: Initialisation schemes<a class="headerlink" href="#module-hypercoil.init" title="Link to this heading">#</a></h1>
<p>Parameter initialisation schemes.</p>
<p>The <code class="docutils literal notranslate"><span class="pre">init</span></code> submodule contains functionality for initialising (neural
network) module parameters to reasonable defaults.</p>
<p>In the differentiable programming setting, initialisation provides a path for
integrating <strong>domain expertise</strong> into neural network models. The
initialisation schemes and routines provided here present a transparent
framework for incorporating the discipline’s existing best practices as
starting points for a differentiable workflow.</p>
<p>For example, the routines here enable the
<a class="reference internal" href="api/hypercoil.nn.atlas.AtlasLinear.html"><span class="doc">linear atlas layer</span></a>
to be initialised as most available volumetric and surface-based neuroimaging
parcellations. Modifications can be applied easily to promote better learning
signals. For the case of the atlas layer, for instance, hard parcels can be
smoothed (in either Euclidean or
<a class="reference internal" href="api/hypercoil.functional.sphere.html"><span class="doc">spherical topology</span></a>
) or constrained to the
<a class="reference internal" href="api/hypercoil.init.mapparam.ProbabilitySimplexParameter.html"><span class="doc">probability simplex</span></a>
(using a softmax domain transformation) to change the properties of the
gradients they receive.</p>
<p>Also available are more general initialisation schemes for use cases where a
clean slate is desired as a starting point. For example, a random
<a class="reference internal" href="api/hypercoil.init.dirichlet.html"><span class="doc">Dirichlet initialisation</span></a>
, when combined with a
<a class="reference internal" href="api/hypercoil.init.mapparam.ProbabilitySimplexParameter.html"><span class="doc">probability simplex projection</span></a>
, lends columns in a parcellation matrix the intuitive interpretation of
probability distributions over parcels.</p>
<p>Most initialisation scheme classes (eventually, all) can be combined with a
<a class="reference internal" href="api/hypercoil.init.mapparam.html"><span class="doc">parameter mapping</span></a>.
If a parameter mapping is used to initialise a compatible module’s parameters,
the parameters are internally stored by the module as “original parameters”
and then transformed through the mapping before they interact with inputs.
Some schemes are paired with a mapping by default. For instance,
<a class="reference internal" href="api/hypercoil.init.dirichlet.html"><span class="doc">Dirichlet initialisation</span></a>
is by default paired with a
<span class="xref std std-doc">probability simplex projection</span>
domain to constrain Dirichlet-initialised weights to always be valid
probability distributions.</p>
<div class="admonition warning">
<p class="admonition-title">Warning</p>
<p>Any and all APIs here are experimental and subject to change. Test
coverage is inadequate and extreme discretion is warranted when using this
functionality. Please report any bugs by opening an issue.</p>
</div>
<div class="toctree-wrapper compound">
<p aria-level="2" class="caption" role="heading"><span class="caption-text">Contents:</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.atlas.html"><code class="docutils literal notranslate"><span class="pre">atlas</span></code>: Atlas initialisation</a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.BaseAtlas.html"><code class="docutils literal notranslate"><span class="pre">BaseAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.BaseAtlas.html#hypercoil.init.atlas.BaseAtlas"><code class="docutils literal notranslate"><span class="pre">BaseAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.BaseAtlas.html#hypercoil.init.atlas.BaseAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">BaseAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitBaseAtlas.html"><code class="docutils literal notranslate"><span class="pre">DirichletInitBaseAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitBaseAtlas.html#hypercoil.init.atlas.DirichletInitBaseAtlas"><code class="docutils literal notranslate"><span class="pre">DirichletInitBaseAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitBaseAtlas.html#hypercoil.init.atlas.DirichletInitBaseAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">DirichletInitBaseAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.DiscreteVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">DiscreteVolumetricAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DiscreteVolumetricAtlas.html#hypercoil.init.atlas.DiscreteVolumetricAtlas"><code class="docutils literal notranslate"><span class="pre">DiscreteVolumetricAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.DiscreteVolumetricAtlas.html#hypercoil.init.atlas.DiscreteVolumetricAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">DiscreteVolumetricAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.MultiVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">MultiVolumetricAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.MultiVolumetricAtlas.html#hypercoil.init.atlas.MultiVolumetricAtlas"><code class="docutils literal notranslate"><span class="pre">MultiVolumetricAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.MultiVolumetricAtlas.html#hypercoil.init.atlas.MultiVolumetricAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">MultiVolumetricAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.MultifileVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">MultifileVolumetricAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.MultifileVolumetricAtlas.html#hypercoil.init.atlas.MultifileVolumetricAtlas"><code class="docutils literal notranslate"><span class="pre">MultifileVolumetricAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.MultifileVolumetricAtlas.html#hypercoil.init.atlas.MultifileVolumetricAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">MultifileVolumetricAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.CortexSubcortexCIfTIAtlas.html"><code class="docutils literal notranslate"><span class="pre">CortexSubcortexCIfTIAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.CortexSubcortexCIfTIAtlas.html#hypercoil.init.atlas.CortexSubcortexCIfTIAtlas"><code class="docutils literal notranslate"><span class="pre">CortexSubcortexCIfTIAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.CortexSubcortexCIfTIAtlas.html#hypercoil.init.atlas.CortexSubcortexCIfTIAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">CortexSubcortexCIfTIAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitVolumetricAtlas.html"><code class="docutils literal notranslate"><span class="pre">DirichletInitVolumetricAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitVolumetricAtlas.html#hypercoil.init.atlas.DirichletInitVolumetricAtlas"><code class="docutils literal notranslate"><span class="pre">DirichletInitVolumetricAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitVolumetricAtlas.html#hypercoil.init.atlas.DirichletInitVolumetricAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">DirichletInitVolumetricAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitSurfaceAtlas.html"><code class="docutils literal notranslate"><span class="pre">DirichletInitSurfaceAtlas</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitSurfaceAtlas.html#hypercoil.init.atlas.DirichletInitSurfaceAtlas"><code class="docutils literal notranslate"><span class="pre">DirichletInitSurfaceAtlas</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.DirichletInitSurfaceAtlas.html#hypercoil.init.atlas.DirichletInitSurfaceAtlas.__call__"><code class="docutils literal notranslate"><span class="pre">DirichletInitSurfaceAtlas.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlas.AtlasInitialiser.html"><code class="docutils literal notranslate"><span class="pre">AtlasInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlas.AtlasInitialiser.html#hypercoil.init.atlas.AtlasInitialiser"><code class="docutils literal notranslate"><span class="pre">AtlasInitialiser</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.atlas.AtlasInitialiser.html#hypercoil.init.atlas.AtlasInitialiser.__call__"><code class="docutils literal notranslate"><span class="pre">AtlasInitialiser.__call__()</span></code></a></li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html"><code class="docutils literal notranslate"><span class="pre">atlasmixins</span></code>: Atlas mixins</a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#referencemixin"><code class="docutils literal notranslate"><span class="pre">~ReferenceMixin</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._VolumeObjectReferenceMixin"><code class="docutils literal notranslate"><span class="pre">_VolumeObjectReferenceMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._SurfaceObjectReferenceMixin"><code class="docutils literal notranslate"><span class="pre">_SurfaceObjectReferenceMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._VolumeSingleReferenceMixin"><code class="docutils literal notranslate"><span class="pre">_VolumeSingleReferenceMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._SurfaceSingleReferenceMixin"><code class="docutils literal notranslate"><span class="pre">_SurfaceSingleReferenceMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._VolumeMultiReferenceMixin"><code class="docutils literal notranslate"><span class="pre">_VolumeMultiReferenceMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._PhantomReferenceMixin"><code class="docutils literal notranslate"><span class="pre">_PhantomReferenceMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#maskmixin"><code class="docutils literal notranslate"><span class="pre">~MaskMixin</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._LogicMaskMixin"><code class="docutils literal notranslate"><span class="pre">_LogicMaskMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._CortexSubcortexCIfTIMaskMixin"><code class="docutils literal notranslate"><span class="pre">_CortexSubcortexCIfTIMaskMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._FromNullMaskMixin"><code class="docutils literal notranslate"><span class="pre">_FromNullMaskMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#compartmentmixin"><code class="docutils literal notranslate"><span class="pre">~CompartmentMixin</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._SingleCompartmentMixin"><code class="docutils literal notranslate"><span class="pre">_SingleCompartmentMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._MultiCompartmentMixin"><code class="docutils literal notranslate"><span class="pre">_MultiCompartmentMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._CortexSubcortexCIfTICompartmentMixin"><code class="docutils literal notranslate"><span class="pre">_CortexSubcortexCIfTICompartmentMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#labelmixin"><code class="docutils literal notranslate"><span class="pre">~LabelMixin</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._DiscreteLabelMixin"><code class="docutils literal notranslate"><span class="pre">_DiscreteLabelMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._ContinuousLabelMixin"><code class="docutils literal notranslate"><span class="pre">_ContinuousLabelMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._DirichletLabelMixin"><code class="docutils literal notranslate"><span class="pre">_DirichletLabelMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#meshmixin"><code class="docutils literal notranslate"><span class="pre">~MeshMixin</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._VolumetricMeshMixin"><code class="docutils literal notranslate"><span class="pre">_VolumetricMeshMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._VertexCIfTIMeshMixin"><code class="docutils literal notranslate"><span class="pre">_VertexCIfTIMeshMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#convmixin"><code class="docutils literal notranslate"><span class="pre">~ConvMixin</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._EvenlySampledConvMixin"><code class="docutils literal notranslate"><span class="pre">_EvenlySampledConvMixin</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins._SpatialConvMixin"><code class="docutils literal notranslate"><span class="pre">_SpatialConvMixin</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#abstractions">Abstractions</a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins.Reference"><code class="docutils literal notranslate"><span class="pre">Reference</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins.Mask"><code class="docutils literal notranslate"><span class="pre">Mask</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins.Compartment"><code class="docutils literal notranslate"><span class="pre">Compartment</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.atlasmixins.html#hypercoil.init.atlasmixins.CompartmentSet"><code class="docutils literal notranslate"><span class="pre">CompartmentSet</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.base.html"><code class="docutils literal notranslate"><span class="pre">base</span></code>: Base initialisations</a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.base.from_distr_init.html"><code class="docutils literal notranslate"><span class="pre">from_distr_init</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.from_distr_init.html#hypercoil.init.base.from_distr_init"><code class="docutils literal notranslate"><span class="pre">from_distr_init()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.base.constant_init.html"><code class="docutils literal notranslate"><span class="pre">constant_init</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.constant_init.html#hypercoil.init.base.constant_init"><code class="docutils literal notranslate"><span class="pre">constant_init()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.base.identity_init.html"><code class="docutils literal notranslate"><span class="pre">identity_init</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.identity_init.html#hypercoil.init.base.identity_init"><code class="docutils literal notranslate"><span class="pre">identity_init()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.base.MappedInitialiser.html"><code class="docutils literal notranslate"><span class="pre">MappedInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.MappedInitialiser.html#hypercoil.init.base.MappedInitialiser"><code class="docutils literal notranslate"><span class="pre">MappedInitialiser</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.base.DistributionInitialiser.html"><code class="docutils literal notranslate"><span class="pre">DistributionInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.DistributionInitialiser.html#hypercoil.init.base.DistributionInitialiser"><code class="docutils literal notranslate"><span class="pre">DistributionInitialiser()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.base.IdentityInitialiser.html"><code class="docutils literal notranslate"><span class="pre">IdentityInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.base.IdentityInitialiser.html#hypercoil.init.base.IdentityInitialiser"><code class="docutils literal notranslate"><span class="pre">IdentityInitialiser</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.deltaplus.html"><code class="docutils literal notranslate"><span class="pre">deltaplus</span></code></a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.deltaplus.html#deltaplus-init"><code class="docutils literal notranslate"><span class="pre">deltaplus_init</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.deltaplus.html#hypercoil.init.deltaplus.deltaplus_init"><code class="docutils literal notranslate"><span class="pre">deltaplus_init()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.deltaplus.html#deltaplusinitialiser"><code class="docutils literal notranslate"><span class="pre">DeltaPlusInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.deltaplus.html#hypercoil.init.deltaplus.DeltaPlusInitialiser"><code class="docutils literal notranslate"><span class="pre">DeltaPlusInitialiser</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.dirichlet.html"><code class="docutils literal notranslate"><span class="pre">dirichlet</span></code></a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.dirichlet.html#dirichlet-init"><code class="docutils literal notranslate"><span class="pre">dirichlet_init</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.dirichlet.html#hypercoil.init.dirichlet.dirichlet_init"><code class="docutils literal notranslate"><span class="pre">dirichlet_init()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.dirichlet.html#dirichletinitialiser"><code class="docutils literal notranslate"><span class="pre">DirichletInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.dirichlet.html#hypercoil.init.dirichlet.DirichletInitialiser"><code class="docutils literal notranslate"><span class="pre">DirichletInitialiser</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.freqfilter.html"><code class="docutils literal notranslate"><span class="pre">freqfilter</span></code>: Frequency band init</a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.freqfilter.FreqFilterSpec.html"><code class="docutils literal notranslate"><span class="pre">FreqFilterSpec</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.freqfilter.FreqFilterSpec.html#hypercoil.init.freqfilter.FreqFilterSpec"><code class="docutils literal notranslate"><span class="pre">FreqFilterSpec</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.freqfilter.FreqFilterSpec.html#hypercoil.init.freqfilter.FreqFilterSpec.initialise_spectrum"><code class="docutils literal notranslate"><span class="pre">FreqFilterSpec.initialise_spectrum()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.freqfilter.FreqFilterSpec.html#hypercoil.init.freqfilter.FreqFilterSpec.get_clamps"><code class="docutils literal notranslate"><span class="pre">FreqFilterSpec.get_clamps()</span></code></a></li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.iirfilter.html"><code class="docutils literal notranslate"><span class="pre">iirfilter</span></code>: IIR filter init</a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.iirfilter.html#iirfilterspec"><code class="docutils literal notranslate"><span class="pre">IIRFilterSpec</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.iirfilter.html#hypercoil.init.iirfilter.IIRFilterSpec"><code class="docutils literal notranslate"><span class="pre">IIRFilterSpec</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="api/hypercoil.init.iirfilter.html#hypercoil.init.iirfilter.IIRFilterSpec.initialise_coefs"><code class="docutils literal notranslate"><span class="pre">IIRFilterSpec.initialise_coefs()</span></code></a></li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.laplace.html"><code class="docutils literal notranslate"><span class="pre">laplace</span></code></a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.laplace.html#laplace-init"><code class="docutils literal notranslate"><span class="pre">laplace_init</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.laplace.html#hypercoil.init.laplace.laplace_init"><code class="docutils literal notranslate"><span class="pre">laplace_init()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.laplace.html#laplaceinitialiser"><code class="docutils literal notranslate"><span class="pre">LaplaceInitialiser</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.laplace.html#hypercoil.init.laplace.LaplaceInitialiser"><code class="docutils literal notranslate"><span class="pre">LaplaceInitialiser</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="api/hypercoil.init.mapparam.html"><code class="docutils literal notranslate"><span class="pre">mapparam</span></code>: Mapped parameters and parameter maps</a><ul>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.MappedParameter.html"><code class="docutils literal notranslate"><span class="pre">MappedParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.MappedParameter.html#hypercoil.init.mapparam.MappedParameter"><code class="docutils literal notranslate"><span class="pre">MappedParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.DomainMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">DomainMappedParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.DomainMappedParameter.html#hypercoil.init.mapparam.DomainMappedParameter"><code class="docutils literal notranslate"><span class="pre">DomainMappedParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.IdentityMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">IdentityMappedParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.IdentityMappedParameter.html#hypercoil.init.mapparam.IdentityMappedParameter"><code class="docutils literal notranslate"><span class="pre">IdentityMappedParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.AffineMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">AffineMappedParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.AffineMappedParameter.html#hypercoil.init.mapparam.AffineMappedParameter"><code class="docutils literal notranslate"><span class="pre">AffineMappedParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.TanhMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">TanhMappedParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.TanhMappedParameter.html#hypercoil.init.mapparam.TanhMappedParameter"><code class="docutils literal notranslate"><span class="pre">TanhMappedParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.AmplitudeTanhMappedParameter.html"><code class="docutils literal notranslate"><span class="pre">AmplitudeTanhMappedParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.AmplitudeTanhMappedParameter.html#hypercoil.init.mapparam.AmplitudeTanhMappedParameter"><code class="docutils literal notranslate"><span class="pre">AmplitudeTanhMappedParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.MappedLogits.html"><code class="docutils literal notranslate"><span class="pre">MappedLogits</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.MappedLogits.html#hypercoil.init.mapparam.MappedLogits"><code class="docutils literal notranslate"><span class="pre">MappedLogits</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.NormSphereParameter.html"><code class="docutils literal notranslate"><span class="pre">NormSphereParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.NormSphereParameter.html#hypercoil.init.mapparam.NormSphereParameter"><code class="docutils literal notranslate"><span class="pre">NormSphereParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.ProbabilitySimplexParameter.html"><code class="docutils literal notranslate"><span class="pre">ProbabilitySimplexParameter</span></code></a><ul>
<li class="toctree-l3"><a class="reference internal" href="api/hypercoil.init.mapparam.ProbabilitySimplexParameter.html#hypercoil.init.mapparam.ProbabilitySimplexParameter"><code class="docutils literal notranslate"><span class="pre">ProbabilitySimplexParameter</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="api/hypercoil.init.mapparam.AmplitudeProbabilitySimplexParameter.html"><code class="docutils literal notranslate"><span class="pre">AmplitudeProbabilitySimplexParameter</span></code></a><ul>