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EUNN.py
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"""Module implementing EUNN Cell.
"""
import tensorflow as tf
import numpy as np
from tensorflow.python.framework import ops
from tensorflow.python.ops import init_ops
from tensorflow.python.ops import array_ops
from tensorflow.python.ops import math_ops
from tensorflow.python.ops import control_flow_ops
from tensorflow.python.ops import gen_math_ops
from tensorflow.python.ops import tensor_array_ops
from tensorflow.python.ops import variable_scope as vs
from tensorflow.python.ops.rnn_cell_impl import RNNCell
from modrelu import modrelu
def _eunn_param(hidden_size, capacity=2, fft=False, comp=True):
"""
Create parameters and do the initial preparations
"""
theta_phi_initializer = init_ops.random_uniform_initializer(-np.pi, np.pi)
if fft:
capacity = int(np.ceil(np.log2(hidden_size)))
diag_list_0 = []
off_list_0 = []
varsize = 0
for i in range(capacity):
size = capacity - i
normal_size = (hidden_size // (2 ** size)) * (2 ** (size - 1))
extra_size = max(0, (hidden_size %
(2 ** size)) - (2 ** (size - 1)))
varsize += normal_size + extra_size
params_theta = vs.get_variable(
"theta_0", [varsize], initializer=theta_phi_initializer)
cos_theta = math_ops.cos(params_theta)
sin_theta = math_ops.sin(params_theta)
if comp:
params_phi = vs.get_variable(
"phi_0", [varsize], initializer=theta_phi_initializer)
cos_phi = math_ops.cos(params_phi)
sin_phi = math_ops.sin(params_phi)
cos_list_0 = math_ops.complex(
cos_theta, array_ops.zeros_like(cos_theta))
cos_list_1 = math_ops.complex(math_ops.multiply(
cos_theta, cos_phi), math_ops.multiply(cos_theta, sin_phi))
sin_list_0 = math_ops.complex(
sin_theta, array_ops.zeros_like(sin_theta))
sin_list_1 = math_ops.complex(-math_ops.multiply(
sin_theta, cos_phi), -math_ops.multiply(sin_theta, sin_phi))
last = 0
for i in range(capacity):
size = capacity - i
normal_size = (hidden_size // (2 ** size)) * (2 ** (size - 1))
extra_size = max(0, (hidden_size %
(2 ** size)) - (2 ** (size - 1)))
if comp:
cos_list_normal = array_ops.concat([array_ops.slice(cos_list_0, [last], [
normal_size]), array_ops.slice(cos_list_1, [last], [normal_size])], 0)
sin_list_normal = array_ops.concat([array_ops.slice(sin_list_0, [last], [
normal_size]), -array_ops.slice(sin_list_1, [last], [normal_size])], 0)
last += normal_size
cos_list_extra = array_ops.concat([array_ops.slice(cos_list_0, [last], [extra_size]), math_ops.complex(tf.ones(
[hidden_size - 2 * normal_size - 2 * extra_size]), tf.zeros([hidden_size - 2 * normal_size - 2 * extra_size])), array_ops.slice(cos_list_1, [last], [extra_size])], 0)
sin_list_extra = array_ops.concat([array_ops.slice(sin_list_0, [last], [extra_size]), math_ops.complex(tf.zeros(
[hidden_size - 2 * normal_size - 2 * extra_size]), tf.zeros([hidden_size - 2 * normal_size - 2 * extra_size])), -array_ops.slice(sin_list_1, [last], [extra_size])], 0)
last += extra_size
else:
cos_list_normal = array_ops.slice(
cos_theta, [last], [normal_size])
cos_list_normal = array_ops.concat(
[cos_list_normal, cos_list_normal], 0)
cos_list_extra = array_ops.slice(
cos_theta, [last + normal_size], [extra_size])
cos_list_extra = array_ops.concat([cos_list_extra, tf.ones(
[hidden_size - 2 * normal_size - 2 * extra_size]), cos_list_extra], 0)
sin_list_normal = array_ops.slice(
sin_theta, [last], [normal_size])
sin_list_normal = array_ops.concat(
[sin_list_normal, -sin_list_normal], 0)
sin_list_extra = array_ops.slice(
sin_theta, [last + normal_size], [extra_size])
sin_list_extra = array_ops.concat([sin_list_extra, tf.zeros(
[hidden_size - 2 * normal_size - 2 * extra_size]), -sin_list_extra], 0)
last += normal_size + extra_size
if normal_size != 0:
cos_list_normal = array_ops.reshape(array_ops.transpose(
array_ops.reshape(cos_list_normal, [-1, 2 * normal_size // (2**size)])), [-1])
sin_list_normal = array_ops.reshape(array_ops.transpose(
array_ops.reshape(sin_list_normal, [-1, 2 * normal_size // (2**size)])), [-1])
cos_list = array_ops.concat([cos_list_normal, cos_list_extra], 0)
sin_list = array_ops.concat([sin_list_normal, sin_list_extra], 0)
diag_list_0.append(cos_list)
off_list_0.append(sin_list)
diag_vec = array_ops.stack(diag_list_0, 0)
off_vec = array_ops.stack(off_list_0, 0)
else:
capacity_b = capacity // 2
capacity_a = capacity - capacity_b
hidden_size_a = hidden_size // 2
hidden_size_b = (hidden_size - 1) // 2
params_theta_0 = vs.get_variable(
"theta_0", [capacity_a, hidden_size_a], initializer=theta_phi_initializer)
cos_theta_0 = array_ops.reshape(
math_ops.cos(params_theta_0), [capacity_a, -1, 1])
sin_theta_0 = array_ops.reshape(
math_ops.sin(params_theta_0), [capacity_a, -1, 1])
params_theta_1 = vs.get_variable(
"theta_1", [capacity_b, hidden_size_b], initializer=theta_phi_initializer)
cos_theta_1 = array_ops.reshape(
math_ops.cos(params_theta_1), [capacity_b, -1, 1])
sin_theta_1 = array_ops.reshape(
math_ops.sin(params_theta_1), [capacity_b, -1, 1])
if comp:
params_phi_0 = vs.get_variable(
"phi_0", [capacity_a, hidden_size_a], initializer=theta_phi_initializer)
cos_phi_0 = array_ops.reshape(
math_ops.cos(params_phi_0), [capacity_a, -1, 1])
sin_phi_0 = array_ops.reshape(
math_ops.sin(params_phi_0), [capacity_a, -1, 1])
cos_list_0_re = array_ops.reshape(array_ops.concat(
[cos_theta_0, math_ops.multiply(cos_theta_0, cos_phi_0)], 2), [capacity_a, -1])
cos_list_0_im = array_ops.reshape(array_ops.concat([array_ops.zeros_like(
cos_theta_0), math_ops.multiply(cos_theta_0, sin_phi_0)], 2), [capacity_a, -1])
if hidden_size_a * 2 != hidden_size:
cos_list_0_re = array_ops.concat(
[cos_list_0_re, tf.ones([capacity_a, 1])], 1)
cos_list_0_im = array_ops.concat(
[cos_list_0_im, tf.zeros([capacity_a, 1])], 1)
cos_list_0 = math_ops.complex(cos_list_0_re, cos_list_0_im)
sin_list_0_re = array_ops.reshape(array_ops.concat(
[sin_theta_0, - math_ops.multiply(sin_theta_0, cos_phi_0)], 2), [capacity_a, -1])
sin_list_0_im = array_ops.reshape(array_ops.concat([array_ops.zeros_like(
sin_theta_0), - math_ops.multiply(sin_theta_0, sin_phi_0)], 2), [capacity_a, -1])
if hidden_size_a * 2 != hidden_size:
sin_list_0_re = array_ops.concat(
[sin_list_0_re, tf.zeros([capacity_a, 1])], 1)
sin_list_0_im = array_ops.concat(
[sin_list_0_im, tf.zeros([capacity_a, 1])], 1)
sin_list_0 = math_ops.complex(sin_list_0_re, sin_list_0_im)
params_phi_1 = vs.get_variable(
"phi_1", [capacity_b, hidden_size_b], initializer=theta_phi_initializer)
cos_phi_1 = array_ops.reshape(
math_ops.cos(params_phi_1), [capacity_b, -1, 1])
sin_phi_1 = array_ops.reshape(
math_ops.sin(params_phi_1), [capacity_b, -1, 1])
cos_list_1_re = array_ops.reshape(array_ops.concat(
[cos_theta_1, math_ops.multiply(cos_theta_1, cos_phi_1)], 2), [capacity_b, -1])
cos_list_1_re = array_ops.concat(
[tf.ones((capacity_b, 1)), cos_list_1_re], 1)
cos_list_1_im = array_ops.reshape(array_ops.concat([array_ops.zeros_like(
cos_theta_1), math_ops.multiply(cos_theta_1, sin_phi_1)], 2), [capacity_b, -1])
cos_list_1_im = array_ops.concat(
[tf.zeros((capacity_b, 1)), cos_list_1_im], 1)
if hidden_size_b * 2 != hidden_size - 1:
cos_list_1_re = array_ops.concat(
[cos_list_1_re, tf.ones([capacity_b, 1])], 1)
cos_list_1_im = array_ops.concat(
[cos_list_1_im, tf.zeros([capacity_b, 1])], 1)
cos_list_1 = math_ops.complex(cos_list_1_re, cos_list_1_im)
sin_list_1_re = array_ops.reshape(array_ops.concat(
[sin_theta_1, -math_ops.multiply(sin_theta_1, cos_phi_1)], 2), [capacity_b, -1])
sin_list_1_re = array_ops.concat(
[tf.zeros((capacity_b, 1)), sin_list_1_re], 1)
sin_list_1_im = array_ops.reshape(array_ops.concat([array_ops.zeros_like(
sin_theta_1), -math_ops.multiply(sin_theta_1, sin_phi_1)], 2), [capacity_b, -1])
sin_list_1_im = array_ops.concat(
[tf.zeros((capacity_b, 1)), sin_list_1_im], 1)
if hidden_size_b * 2 != hidden_size - 1:
sin_list_1_re = array_ops.concat(
[sin_list_1_re, tf.zeros([capacity_b, 1])], 1)
sin_list_1_im = array_ops.concat(
[sin_list_1_im, tf.zeros([capacity_b, 1])], 1)
sin_list_1 = math_ops.complex(sin_list_1_re, sin_list_1_im)
else:
cos_list_0 = array_ops.reshape(array_ops.concat(
[cos_theta_0, cos_theta_0], 2), [capacity_a, -1])
sin_list_0 = array_ops.reshape(array_ops.concat(
[sin_theta_0, -sin_theta_0], 2), [capacity_a, -1])
if hidden_size_a * 2 != hidden_size:
cos_list_0 = array_ops.concat(
[cos_list_0, tf.ones([capacity_a, 1])], 1)
sin_list_0 = array_ops.concat(
[sin_list_0, tf.zeros([capacity_a, 1])], 1)
cos_list_1 = array_ops.reshape(array_ops.concat(
[cos_theta_1, cos_theta_1], 2), [capacity_b, -1])
cos_list_1 = array_ops.concat(
[tf.ones((capacity_b, 1)), cos_list_1], 1)
sin_list_1 = array_ops.reshape(array_ops.concat(
[sin_theta_1, -sin_theta_1], 2), [capacity_b, -1])
sin_list_1 = array_ops.concat(
[tf.zeros((capacity_b, 1)), sin_list_1], 1)
if hidden_size_b * 2 != hidden_size - 1:
cos_list_1 = array_ops.concat(
[cos_list_1, tf.zeros([capacity_b, 1])], 1)
sin_list_1 = array_ops.concat(
[sin_list_1, tf.zeros([capacity_b, 1])], 1)
if capacity_b != capacity_a:
if comp:
cos_list_1 = array_ops.concat([cos_list_1, math_ops.complex(
tf.zeros([1, hidden_size]), tf.zeros([1, hidden_size]))], 0)
sin_list_1 = array_ops.concat([sin_list_1, math_ops.complex(
tf.zeros([1, hidden_size]), tf.zeros([1, hidden_size]))], 0)
else:
cos_list_1 = array_ops.concat(
[cos_list_1, tf.zeros([1, hidden_size])], 0)
sin_list_1 = array_ops.concat(
[sin_list_1, tf.zeros([1, hidden_size])], 0)
diag_vec = tf.reshape(tf.concat([cos_list_0, cos_list_1], 1), [
capacity_a * 2, hidden_size])
off_vec = tf.reshape(tf.concat([sin_list_0, sin_list_1], 1), [
capacity_a * 2, hidden_size])
if capacity_b != capacity_a:
diag_vec = tf.slice(diag_vec, [0, 0], [capacity, hidden_size])
off_vec = tf.slice(off_vec, [0, 0], [capacity, hidden_size])
def _toTensorArray(elems):
elems = ops.convert_to_tensor(elems)
n = array_ops.shape(elems)[0]
elems_ta = tensor_array_ops.TensorArray(
dtype=elems.dtype, size=n, dynamic_size=False, infer_shape=True, clear_after_read=False)
elems_ta = elems_ta.unstack(elems)
return elems_ta
diag_vec = _toTensorArray(diag_vec)
off_vec = _toTensorArray(off_vec)
if comp:
omega = vs.get_variable(
"omega", [hidden_size], initializer=theta_phi_initializer)
diag = math_ops.complex(math_ops.cos(omega), math_ops.sin(omega))
else:
diag = None
return diag_vec, off_vec, diag, capacity
def _eunn_loop(state, capacity, diag_vec_list, off_vec_list, diag, fft):
"""
EUNN main loop, applying unitary matrix on input tensor
"""
def layer_tunable(x, i):
def even_s(off, size):
off = array_ops.reshape(off, [-1, size // 2, 2])
off = array_ops.reshape(array_ops.reverse(off, [2]), [-1, size])
return off
def odd_s(off, size):
off, helper = array_ops.split(off, [size - 1, 1], 1)
off = even_s(off, size - 1)
off = array_ops.concat([off, helper], 1)
return off
def even_input(off, size):
return func_s(off, size)
def odd_input(off, size):
helper, off = array_ops.split(off, [1, size - 1], 1)
off = dfunc_s(off, size - 1)
off = array_ops.concat([helper, off], 1)
return off
diag_vec = diag_vec_list.read(i)
off_vec = off_vec_list.read(i)
diag = math_ops.multiply(x, diag_vec)
off = math_ops.multiply(x, off_vec)
size = int(off.get_shape()[1])
if size % 2 == 0:
func_s = even_s
dfunc_s = odd_s
else:
func_s = odd_s
dfunc_s = even_s
off = control_flow_ops.cond(tf.equal(i % 2, 0), lambda: even_input(
off, size), lambda: odd_input(off, size))
layer_output = diag + off
i += 1
return layer_output, i
def layer_fft(state, i):
diag_vec = diag_vec_list.read(i)
off_vec = off_vec_list.read(i)
diag = math_ops.multiply(state, diag_vec)
off = math_ops.multiply(state, off_vec)
hidden_size = int(off.get_shape()[1])
# size = 2**i
dist = capacity - i
normal_size = (hidden_size // (2**dist)) * (2**(dist - 1))
normal_size *= 2
extra_size = tf.maximum(0, (hidden_size % (2**dist)) - (2**(dist - 1)))
hidden_size -= normal_size
def modify(off_normal, dist, normal_size):
off_normal = array_ops.reshape(array_ops.reverse(array_ops.reshape(
off_normal, [-1, normal_size // (2**dist), 2, (2**(dist - 1))]), [2]), [-1, normal_size])
return off_normal
def do_nothing(off_normal):
return off_normal
off_normal, off_extra = array_ops.split(
off, [normal_size, hidden_size], 1)
off_normal = control_flow_ops.cond(gen_math_ops.equal(normal_size, 0), lambda: do_nothing(
off_normal), lambda: modify(off_normal, dist, normal_size))
helper1, helper2 = array_ops.split(
off_extra, [hidden_size - extra_size, extra_size], 1)
off_extra = array_ops.concat([helper2, helper1], 1)
off = array_ops.concat([off_normal, off_extra], 1)
layer_output = diag + off
i += 1
return layer_output, i
if fft:
layer_function = layer_fft
else:
layer_function = layer_tunable
i = 0
output, _ = control_flow_ops.while_loop(
lambda state, i: gen_math_ops.less(i, capacity), layer_function, [state, i])
if not diag is None:
output = math_ops.multiply(output, diag)
return output
class EUNNCell(RNNCell):
"""Efficient Unitary Network Cell
The implementation is based on: http://arxiv.org/abs/1612.05231.
"""
def __init__(self, hidden_size, capacity=2, fft=False, comp=False, activation=modrelu):
super(EUNNCell, self).__init__()
self._hidden_size = hidden_size
self._activation = activation
self._capacity = capacity
self._fft = fft
self._comp = comp
self.diag_vec, self.off_vec, self.diag, self._capacity = _eunn_param(
hidden_size, capacity, fft, comp)
@property
def state_size(self):
return self._hidden_size
@property
def output_size(self):
return self._hidden_size
@property
def capacity(self):
return self._capacity
def __call__(self, inputs, state, scope=None):
with vs.variable_scope(scope or "eunn_cell"):
state = _eunn_loop(state, self._capacity, self.diag_vec,
self.off_vec, self.diag, self._fft)
input_matrix_init = init_ops.random_uniform_initializer(
-0.01, 0.01)
if self._comp:
input_matrix_re = vs.get_variable("U_re", [inputs.get_shape(
)[-1], self._hidden_size], initializer=input_matrix_init)
input_matrix_im = vs.get_variable("U_im", [inputs.get_shape(
)[-1], self._hidden_size], initializer=input_matrix_init)
inputs_re = math_ops.matmul(inputs, input_matrix_re)
inputs_im = math_ops.matmul(inputs, input_matrix_im)
inputs = math_ops.complex(inputs_re, inputs_im)
else:
input_matrix = vs.get_variable(
"U", [inputs.get_shape()[-1], self._hidden_size], initializer=input_matrix_init)
inputs = math_ops.matmul(inputs, input_matrix)
bias = vs.get_variable(
"modReLUBias", [self._hidden_size], initializer=init_ops.constant_initializer())
output = self._activation((inputs + state), bias, self._comp)
return output, output