added MAF

This commit is contained in:
Dr. Kashif Rasul
2020-01-17 11:36:30 +01:00
parent 4c5b02864f
commit 744eb22ec4
2 changed files with 231 additions and 18 deletions
+1 -1
View File
@@ -13,4 +13,4 @@ from .distribution_output import (
from .lambda_layer import LambdaLayer
from .feature import FeatureEmbedder, FeatureAssembler
from .scaler import MeanScaler, NOPScaler
from .flows import RealNVP
from .flows import RealNVP, MAF
+230 -17
View File
@@ -6,6 +6,49 @@ import torch.nn.functional as F
from torch.distributions import Normal
def create_masks(
input_size, hidden_size, n_hidden, input_order="sequential", input_degrees=None
):
# MADE paper sec 4:
# degrees of connections between layers -- ensure at most in_degree - 1 connections
degrees = []
# set input degrees to what is provided in args (the flipped order of the previous layer in a stack of mades);
# else init input degrees based on strategy in input_order (sequential or random)
if input_order == "sequential":
degrees += (
[torch.arange(input_size)] if input_degrees is None else [input_degrees]
)
for _ in range(n_hidden + 1):
degrees += [torch.arange(hidden_size) % (input_size - 1)]
degrees += (
[torch.arange(input_size) % input_size - 1]
if input_degrees is None
else [input_degrees % input_size - 1]
)
elif input_order == "random":
degrees += (
[torch.randperm(input_size)] if input_degrees is None else [input_degrees]
)
for _ in range(n_hidden + 1):
min_prev_degree = min(degrees[-1].min().item(), input_size - 1)
degrees += [torch.randint(min_prev_degree, input_size, (hidden_size,))]
min_prev_degree = min(degrees[-1].min().item(), input_size - 1)
degrees += (
[torch.randint(min_prev_degree, input_size, (input_size,)) - 1]
if input_degrees is None
else [input_degrees - 1]
)
# construct masks
masks = []
for (d0, d1) in zip(degrees[:-1], degrees[1:]):
masks += [(d1.unsqueeze(-1) >= d0.unsqueeze(0)).float()]
return masks, degrees[0]
class FlowSequential(nn.Sequential):
""" Container for layers of a normalizing flow """
@@ -35,8 +78,8 @@ class BatchNorm(nn.Module):
self.log_gamma = nn.Parameter(torch.zeros(input_size))
self.beta = nn.Parameter(torch.zeros(input_size))
self.register_buffer('running_mean', torch.zeros(input_size))
self.register_buffer('running_var', torch.ones(input_size))
self.register_buffer("running_mean", torch.zeros(input_size))
self.register_buffer("running_var", torch.ones(input_size))
def forward(self, x, cond_y=None):
if self.training:
@@ -46,9 +89,11 @@ class BatchNorm(nn.Module):
# update running mean
self.running_mean.mul_(self.momentum).add_(
self.batch_mean.data * (1 - self.momentum))
self.batch_mean.data * (1 - self.momentum)
)
self.running_var.mul_(self.momentum).add_(
self.batch_var.data * (1 - self.momentum))
self.batch_var.data * (1 - self.momentum)
)
mean = self.batch_mean
var = self.batch_var
@@ -62,8 +107,8 @@ class BatchNorm(nn.Module):
# compute log_abs_det_jacobian (cf RealNVP paper)
log_abs_det_jacobian = self.log_gamma - 0.5 * torch.log(var + self.eps)
# print('in sum log var {:6.3f} ; out sum log var {:6.3f}; sum log det {:8.3f}; mean log_gamma {:5.3f}; mean beta {:5.3f}'.format(
# (var + self.eps).log().sum().data.numpy(), y.var(0).log().sum().data.numpy(), log_abs_det_jacobian.mean(0).item(), self.log_gamma.mean(), self.beta.mean()))
# print('in sum log var {:6.3f} ; out sum log var {:6.3f}; sum log det {:8.3f}; mean log_gamma {:5.3f}; mean beta {:5.3f}'.format(
# (var + self.eps).log().sum().data.numpy(), y.var(0).log().sum().data.numpy(), log_abs_det_jacobian.mean(0).item(), self.log_gamma.mean(), self.beta.mean()))
return y, log_abs_det_jacobian.expand_as(x)
def inverse(self, y, cond_y=None):
@@ -88,11 +133,15 @@ class LinearMaskedCoupling(nn.Module):
def __init__(self, input_size, hidden_size, n_hidden, mask, cond_label_size=None):
super().__init__()
self.register_buffer('mask', mask)
self.register_buffer("mask", mask)
# scale function
s_net = [nn.Linear(
input_size + (cond_label_size if cond_label_size is not None else 0), hidden_size)]
s_net = [
nn.Linear(
input_size + (cond_label_size if cond_label_size is not None else 0),
hidden_size,
)
]
for _ in range(n_hidden):
s_net += [nn.Tanh(), nn.Linear(hidden_size, hidden_size)]
s_net += [nn.Tanh(), nn.Linear(hidden_size, input_size)]
@@ -116,7 +165,7 @@ class LinearMaskedCoupling(nn.Module):
u = mx + (1 - self.mask) * (x - t) * torch.exp(-s)
# log det du/dx; cf RealNVP 8 and 6; note, sum over input_size done at model log_prob
log_abs_det_jacobian = - (1 - self.mask) * s
log_abs_det_jacobian = -(1 - self.mask) * s
return u, log_abs_det_jacobian
@@ -134,13 +183,101 @@ class LinearMaskedCoupling(nn.Module):
return x, log_abs_det_jacobian
class MADE(nn.Module):
def __init__(
self,
input_size,
hidden_size,
n_hidden,
cond_label_size=None,
activation="ReLU",
input_order="sequential",
input_degrees=None,
):
"""
Args:
input_size -- scalar; dim of inputs
hidden_size -- scalar; dim of hidden layers
n_hidden -- scalar; number of hidden layers
activation -- str; activation function to use
input_order -- str or tensor; variable order for creating the autoregressive masks (sequential|random)
or the order flipped from the previous layer in a stack of MADEs
conditional -- bool; whether model is conditional
"""
super().__init__()
# base distribution for calculation of log prob under the model
self.register_buffer("base_dist_mean", torch.zeros(input_size))
self.register_buffer("base_dist_var", torch.ones(input_size))
# create masks
masks, self.input_degrees = create_masks(
input_size, hidden_size, n_hidden, input_order, input_degrees
)
# setup activation
if activation == "ReLU":
activation_fn = nn.ReLU()
elif activation == "Tanh":
activation_fn = nn.Tanh()
else:
raise ValueError("Check activation function.")
# construct model
self.net_input = MaskedLinear(
input_size, hidden_size, masks[0], cond_label_size
)
self.net = []
for m in masks[1:-1]:
self.net += [activation_fn, MaskedLinear(hidden_size, hidden_size, m)]
self.net += [
activation_fn,
MaskedLinear(hidden_size, 2 * input_size, masks[-1].repeat(2, 1)),
]
self.net = nn.Sequential(*self.net)
@property
def base_dist(self):
return D.Normal(self.base_dist_mean, self.base_dist_var)
def forward(self, x, y=None):
# MAF eq 4 -- return mean and log std
m, loga = self.net(self.net_input(x, y)).chunk(chunks=2, dim=-1)
u = (x - m) * torch.exp(-loga)
# MAF eq 5
log_abs_det_jacobian = -loga
return u, log_abs_det_jacobian
def inverse(self, u, y=None, sum_log_abs_det_jacobians=None):
# MAF eq 3
# D = u.shape[-1]
x = torch.zeros_like(u)
# run through reverse model
for i in self.input_degrees:
m, loga = self.net(self.net_input(x, y)).chunk(chunks=2, dim=-1)
x[..., i] = u[..., i] * torch.exp(loga[..., i]) + m[..., i]
log_abs_det_jacobian = loga
return x, log_abs_det_jacobian
def log_prob(self, x, y=None):
u, log_abs_det_jacobian = self.forward(x, y)
return torch.sum(self.base_dist.log_prob(u) + log_abs_det_jacobian, dim=-1)
class RealNVP(nn.Module):
def __init__(self, n_blocks, input_size, hidden_size, n_hidden, cond_label_size=None, batch_norm=True):
def __init__(
self,
n_blocks,
input_size,
hidden_size,
n_hidden,
cond_label_size=None,
batch_norm=True,
):
super().__init__()
# base distribution for calculation of log prob under the model
self.register_buffer('base_dist_mean', torch.zeros(input_size))
self.register_buffer('base_dist_var', torch.ones(input_size))
self.register_buffer("base_dist_mean", torch.zeros(input_size))
self.register_buffer("base_dist_var", torch.ones(input_size))
self.__scale = None
@@ -148,10 +285,11 @@ class RealNVP(nn.Module):
modules = []
mask = torch.arange(input_size).float() % 2
for i in range(n_blocks):
modules += [LinearMaskedCoupling(input_size,
hidden_size,
n_hidden, mask,
cond_label_size)]
modules += [
LinearMaskedCoupling(
input_size, hidden_size, n_hidden, mask, cond_label_size
)
]
mask = 1 - mask
modules += batch_norm * [BatchNorm(input_size)]
@@ -193,3 +331,78 @@ class RealNVP(nn.Module):
u = self.base_dist.sample(shape)
sample, _ = self.inverse(u, cond)
return sample
class MAF(nn.Module):
def __init__(
self,
n_blocks,
input_size,
hidden_size,
n_hidden,
cond_label_size=None,
activation="ReLU",
input_order="sequential",
batch_norm=True,
):
super().__init__()
# base distribution for calculation of log prob under the model
self.register_buffer("base_dist_mean", torch.zeros(input_size))
self.register_buffer("base_dist_var", torch.ones(input_size))
# construct model
modules = []
self.input_degrees = None
for i in range(n_blocks):
modules += [
MADE(
input_size,
hidden_size,
n_hidden,
cond_label_size,
activation,
input_order,
self.input_degrees,
)
]
self.input_degrees = modules[-1].input_degrees.flip(0)
modules += batch_norm * [BatchNorm(input_size)]
self.net = FlowSequential(*modules)
@property
def base_dist(self):
return Normal(self.base_dist_mean, self.base_dist_var)
@property
def scale(self):
return self.__scale
@scale.setter
def scale(self, scale):
self.__scale = scale
def forward(self, x, y=None):
if self.scale is not None:
x /= self.scale
return self.net(x, y)
def inverse(self, u, y=None):
x, log_abs_det_jacobian = self.net.inverse(u, y)
if self.scale is not None:
x *= self.scale
return x, log_abs_det_jacobian
def log_prob(self, x, y=None):
u, sum_log_abs_det_jacobians = self.forward(x, y)
return torch.sum(self.base_dist.log_prob(u) + sum_log_abs_det_jacobians, dim=-1)
def sample(self, sample_shape=torch.Size(), cond=None):
if cond is not None:
shape = cond.shape[:-1]
else:
shape = sample_shape
u = self.base_dist.sample(shape)
sample, _ = self.inverse(u, cond)
return sample