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# Sparsely-Gated Mixture-of-Experts Layers.
# See "Outrageously Large Neural Networks"
# https://arxiv.org/abs/1701.06538
#
# Author: David Rau
#
# The code is based on the TensorFlow implementation:
# https://github.com/tensorflow/tensor2tensor/blob/master/tensor2tensor/utils/expert_utils.py
import torch
import torch.nn as nn
import torch.nn.functional as F
from torch.distributions.normal import Normal
from models import MLP, Expert
import numpy as np
import pandas as pd
from tqdm import tqdm
class SparseDispatcher(object):
"""Helper for implementing a mixture of experts.
The purpose of this class is to create input minibatches for the
experts and to combine the results of the experts to form a unified
output tensor.
There are two functions:
dispatch - take an input Tensor and create input Tensors for each expert.
combine - take output Tensors from each expert and form a combined output
Tensor. Outputs from different experts for the same batch element are
summed together, weighted by the provided "gates".
The class is initialized with a "gates" Tensor, which specifies which
batch elements go to which experts, and the weights to use when combining
the outputs. Batch element b is sent to expert e iff gates[b, e] != 0.
The inputs and outputs are all two-dimensional [batch, depth].
Caller is responsible for collapsing additional dimensions prior to
calling this class and reshaping the output to the original shape.
See common_layers.reshape_like().
Example use:
gates: a float32 `Tensor` with shape `[batch_size, num_experts]`
inputs: a float32 `Tensor` with shape `[batch_size, input_size]`
experts: a list of length `num_experts` containing sub-networks.
dispatcher = SparseDispatcher(num_experts, gates)
expert_inputs = dispatcher.dispatch(inputs)
expert_outputs = [experts[i](expert_inputs[i]) for i in range(num_experts)]
outputs = dispatcher.combine(expert_outputs)
The preceding code sets the output for a particular example b to:
output[b] = Sum_i(gates[b, i] * experts[i](inputs[b]))
This class takes advantage of sparsity in the gate matrix by including in the
`Tensor`s for expert i only the batch elements for which `gates[b, i] > 0`.
"""
def __init__(self, num_experts, gates, verbose=True):
"""Create a SparseDispatcher."""
self.verbose = verbose
self._gates = gates
self._num_experts = num_experts
# sort experts
sorted_experts, index_sorted_experts = torch.nonzero(gates).sort(0)
# drop indices
_, self._expert_index = sorted_experts.split(1, dim=1)
# get according batch index for each expert
self._batch_index = torch.nonzero(gates)[index_sorted_experts[:, 1], 0]
# calculate num samples that each expert gets
self._part_sizes = (gates > 0).sum(0).tolist()
# expand gates to match with self._batch_index
gates_exp = gates[self._batch_index.flatten()]
self._nonzero_gates = torch.gather(gates_exp, 1, self._expert_index)
def dispatch(self, inp):
"""Create one input Tensor for each expert.
The `Tensor` for a expert `i` contains the slices of `inp` corresponding
to the batch elements `b` where `gates[b, i] > 0`.
Args:
inp: a `Tensor` of shape "[batch_size, <extra_input_dims>]`
Returns:
a list of `num_experts` `Tensor`s with shapes
`[expert_batch_size_i, <extra_input_dims>]`.
"""
# assigns samples to experts whose gate is nonzero
if self.verbose:
print('Gates:\n', self._gates.tolist())
print('Batch index:\n', self._batch_index.tolist())
print('Part sizes:\n', self._part_sizes)
# expand according to batch index so we can just split by _part_sizes
# inp_exp = inp[self._batch_index].squeeze(1)
# return torch.split(inp_exp, self._part_sizes, dim=0)
inp = pd.Series(inp)
inp_exp = inp.iloc[self._batch_index]
_part_indexes = [sum(self._part_sizes[:i]) for i in range(1, len(self._part_sizes))]
return [list(x) for x in np.split(inp_exp.to_numpy(), _part_indexes, axis=0)]
def combine(self, expert_out, multiply_by_gates=True):
"""Sum together the expert output, weighted by the gates.
The slice corresponding to a particular batch element `b` is computed
as the sum over all experts `i` of the expert output, weighted by the
corresponding gate values. If `multiply_by_gates` is set to False, the
gate values are ignored.
Args:
expert_out: a list of `num_experts` `Tensor`s, each with shape
`[expert_batch_size_i, <extra_output_dims>]`.
multiply_by_gates: a boolean
Returns:
a `Tensor` with shape `[batch_size, <extra_output_dims>]`.
"""
# apply exp to expert outputs, so we are not longer in log space
stitched = torch.cat(expert_out, 0)
if multiply_by_gates:
stitched = stitched.mul(self._nonzero_gates)
zeros = torch.zeros(self._gates.size(0), expert_out[-1].size(1), requires_grad=True, device=stitched.device)
# combine samples that have been processed by the same k experts
combined = zeros.index_add(0, self._batch_index, stitched.float())
return combined
def expert_to_gates(self):
"""Gate values corresponding to the examples in the per-expert `Tensor`s.
Returns:
a list of `num_experts` one-dimensional `Tensor`s with type `tf.float32`
and shapes `[expert_batch_size_i]`
"""
# split nonzero gates for each expert
return torch.split(self._nonzero_gates, self._part_sizes, dim=0)
class MoE(nn.Module):
"""Call a Sparsely gated mixture of experts layer with 1-layer Feed-Forward networks as experts.
Args:
input_size: integer - size of the input
output_size: integer - size of the input
num_experts: an integer - number of experts
hidden_size: an integer - hidden size of the experts
noisy_gating: a boolean
k: an integer - how many experts to use for each batch element
"""
def __init__(self, input_size, output_size, num_experts, models, tokenizer, tok_emb, hidden_size=None, noisy_gating=True, k=4, verbose=True):
super(MoE, self).__init__()
self.noisy_gating = noisy_gating
self.models = models
self.num_experts = num_experts
self.output_size = output_size
self.input_size = input_size
self.hidden_size = hidden_size
self.verbose = verbose
self.k = k
# instantiate experts
self.experts = nn.ModuleList([Expert(m, self.output_size, self.verbose) for m in self.models])
#self.experts = nn.ModuleList([MLP(self.input_size, self.output_size, self.hidden_size) for i in range(self.num_experts)])
self.w_gate = nn.Parameter(torch.zeros(input_size, num_experts), requires_grad=True)
self.w_noise = nn.Parameter(torch.zeros(input_size, num_experts), requires_grad=True)
self.softplus = nn.Softplus()
self.softmax = nn.Softmax(1)
self.register_buffer("mean", torch.tensor([0.0]))
self.register_buffer("std", torch.tensor([1.0]))
assert(self.k <= self.num_experts)
self.embd_net = self.EmbeddingNet(tokenizer=tokenizer, tok_emb=tok_emb, n_embd=input_size)
self.embd_net.apply(self.embd_net._init_weights)
class EmbeddingNet(nn.Module):
def __init__(self, tokenizer, tok_emb, n_embd=768):
super().__init__()
self.tokenizer = tokenizer
n_vocab = len(self.tokenizer.vocab)
self.tok_emb = tok_emb #nn.Embedding(n_vocab, n_embd)
for param in self.tok_emb.parameters():
param.requires_grad = False
def _init_weights(self, module):
if isinstance(module, (nn.Linear, nn.Embedding)):
module.weight.data.normal_(mean=0.0, std=0.02)
if isinstance(module, nn.Linear) and module.bias is not None:
module.bias.data.zero_()
elif isinstance(module, nn.LayerNorm):
module.bias.data.zero_()
module.weight.data.fill_(1.0)
def forward(self, smiles):
if isinstance(smiles, str):
smiles = [smiles]
tokens = self.tokenizer(smiles, padding=True, truncation =True, add_special_tokens=True,return_tensors="pt", max_length=512)
idx = tokens['input_ids'].clone().detach()
mask = tokens['attention_mask'].clone().detach()
token_embeddings = self.tok_emb(idx) # each index maps to a (learnable) vector
input_mask_expanded = mask.unsqueeze(-1).expand(token_embeddings.size()).float()
sum_embeddings = torch.sum(token_embeddings * input_mask_expanded, 1)
sum_mask = torch.clamp(input_mask_expanded.sum(1), min=1e-9)
loss_input = sum_embeddings / sum_mask
return loss_input
def cv_squared(self, x):
"""The squared coefficient of variation of a sample.
Useful as a loss to encourage a positive distribution to be more uniform.
Epsilons added for numerical stability.
Returns 0 for an empty Tensor.
Args:
x: a `Tensor`.
Returns:
a `Scalar`.
"""
eps = 1e-10
# if only num_experts = 1
if x.shape[0] == 1:
return torch.tensor([0], device=x.device, dtype=x.dtype)
return x.float().var() / (x.float().mean()**2 + eps)
def _gates_to_load(self, gates):
"""Compute the true load per expert, given the gates.
The load is the number of examples for which the corresponding gate is >0.
Args:
gates: a `Tensor` of shape [batch_size, n]
Returns:
a float32 `Tensor` of shape [n]
"""
return (gates > 0).sum(0)
def _prob_in_top_k(self, clean_values, noisy_values, noise_stddev, noisy_top_values):
"""Helper function to NoisyTopKGating.
Computes the probability that value is in top k, given different random noise.
This gives us a way of backpropagating from a loss that balances the number
of times each expert is in the top k experts per example.
In the case of no noise, pass in None for noise_stddev, and the result will
not be differentiable.
Args:
clean_values: a `Tensor` of shape [batch, n].
noisy_values: a `Tensor` of shape [batch, n]. Equal to clean values plus
normally distributed noise with standard deviation noise_stddev.
noise_stddev: a `Tensor` of shape [batch, n], or None
noisy_top_values: a `Tensor` of shape [batch, m].
"values" Output of tf.top_k(noisy_top_values, m). m >= k+1
Returns:
a `Tensor` of shape [batch, n].
"""
batch = clean_values.size(0)
m = noisy_top_values.size(1)
top_values_flat = noisy_top_values.flatten()
threshold_positions_if_in = torch.arange(batch, device=clean_values.device) * m + self.k
threshold_if_in = torch.unsqueeze(torch.gather(top_values_flat, 0, threshold_positions_if_in), 1)
is_in = torch.gt(noisy_values, threshold_if_in)
threshold_positions_if_out = threshold_positions_if_in - 1
threshold_if_out = torch.unsqueeze(torch.gather(top_values_flat, 0, threshold_positions_if_out), 1)
# is each value currently in the top k.
normal = Normal(self.mean, self.std)
prob_if_in = normal.cdf((clean_values - threshold_if_in)/noise_stddev)
prob_if_out = normal.cdf((clean_values - threshold_if_out)/noise_stddev)
prob = torch.where(is_in, prob_if_in, prob_if_out)
return prob
def noisy_top_k_gating(self, x, train, noise_epsilon=1e-2):
"""Noisy top-k gating.
See paper: https://arxiv.org/abs/1701.06538.
Args:
x: input Tensor with shape [batch_size, input_size]
train: a boolean - we only add noise at training time.
noise_epsilon: a float
Returns:
gates: a Tensor with shape [batch_size, num_experts]
load: a Tensor with shape [num_experts]
"""
clean_logits = x @ self.w_gate
if self.noisy_gating and train:
raw_noise_stddev = x @ self.w_noise
noise_stddev = ((self.softplus(raw_noise_stddev) + noise_epsilon))
noisy_logits = clean_logits + (torch.randn_like(clean_logits) * noise_stddev)
logits = noisy_logits
else:
logits = clean_logits
# calculate topk + 1 that will be needed for the noisy gates
top_logits, top_indices = logits.topk(min(self.k + 1, self.num_experts), dim=1)
top_k_logits = top_logits[:, :self.k]
top_k_indices = top_indices[:, :self.k]
top_k_gates = self.softmax(top_k_logits)
zeros = torch.zeros_like(logits, requires_grad=True)
gates = zeros.scatter(1, top_k_indices, top_k_gates)
if self.noisy_gating and self.k < self.num_experts and train:
load = (self._prob_in_top_k(clean_logits, noisy_logits, noise_stddev, top_logits)).sum(0)
else:
load = self._gates_to_load(gates)
return gates, load
def forward(self, smiles, loss_coef=1e-2, verbose=False):
"""Args:
x: tensor shape [batch_size, input_size]
train: a boolean scalar.
loss_coef: a scalar - multiplier on load-balancing losses
Returns:
y: a tensor with shape [batch_size, output_size].
extra_training_loss: a scalar. This should be added into the overall
training loss of the model. The backpropagation of this loss
encourages all experts to be approximately equally used across a batch.
"""
x = self.embd_net(smiles)
gates, load = self.noisy_top_k_gating(x, self.training)
# calculate importance loss
importance = gates.sum(0)
loss = self.cv_squared(importance) + self.cv_squared(load)
loss *= loss_coef
dispatcher = SparseDispatcher(self.num_experts, gates, verbose)
expert_inputs = dispatcher.dispatch(smiles)
gates = dispatcher.expert_to_gates()
expert_outputs = [self.experts[i](expert_inputs[i]) for i in range(self.num_experts)]
y = dispatcher.combine(expert_outputs)
return y, loss
def train(train_loader, model, net, loss_fn, optim, epochs):
model.train()
net.train()
for epoch in range(epochs):
for (x, y) in tqdm(train_loader):
optim.zero_grad()
# model returns the prediction and the loss that encourages all experts to have equal importance and load
embd, aux_loss = model(x)
y_hat = net(embd)
# calculate prediction loss
loss = loss_fn(y_hat, y)
# combine losses
total_loss = loss + aux_loss
total_loss.backward()
optim.step()
print("Training Results Epoch {} - loss: {:.2f}, aux_loss: {:.8f}".format(epoch, loss.item(),
aux_loss.item()))
return model, net