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Update README.md
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RunzheYang authored Jun 21, 2022
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Expand Up @@ -31,7 +31,7 @@ $$W\leftarrow \text{proj}_{\mathcal D_W} \left[W + \eta_W\left({\bf y}_t{\bf x}_
$$M\leftarrow \text{proj}_{\mathcal D_M} \left[M + \frac{\eta_M}{2}\left({\bf y}_t{\bf y}_t^{\top}- \Psi'(M)\right)\right].$$

#### Choices of $\Phi$ and $\Psi$
We can implemented different algorithms from similarity matching famility by specifying different $\Phi$ and $\Psi $, and constraints on $Y$, $W$, and $M$.
We can implemented different algorithms from similarity matching famility by specifying different $\Phi, \Psi$, and constraints on $Y$, $W$, and $M$.
For example:

When $W,M,Y$ are unbounded, and $$\Phi(W) = \frac{1}{2}\text{Tr}WW^{\top}, \text{ and } \Psi(M) = \frac{1}{2}\text{Tr}MM^{\top},$$
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