Использование реализации lr_finder из https://github.com/davidtvs/pytorch-lr-finder на основе бумаги https://arxiv.org/abs/1506.01186
Без искателя скорости обучения:
from __future__ import print_function, with_statement, division
import torch
from tqdm.autonotebook import tqdm
from torch.optim.lr_scheduler import _LRScheduler
import matplotlib.pyplot as plt
import torch
import torch.nn as nn
import torchvision
import torchvision.transforms as transforms
import torch
import torch.nn as nn
import torchvision
import torchvision.transforms as transforms
import torch.utils.data as data_utils
import numpy as np
import matplotlib.pyplot as plt
from sklearn.datasets import make_moons
from matplotlib import pyplot
from pandas import DataFrame
import torchvision.datasets as dset
import os
import torch.nn.functional as F
import time
import random
import pickle
from sklearn.metrics import confusion_matrix
import pandas as pd
import sklearn
class LRFinder(object):
"""Learning rate range test.
The learning rate range test increases the learning rate in a pre-training run
between two boundaries in a linear or exponential manner. It provides valuable
information on how well the network can be trained over a range of learning rates
and what is the optimal learning rate.
Arguments:
model (torch.nn.Module): wrapped model.
optimizer (torch.optim.Optimizer): wrapped optimizer where the defined learning
is assumed to be the lower boundary of the range test.
criterion (torch.nn.Module): wrapped loss function.
device (str or torch.device, optional): a string ("cpu" or "cuda") with an
optional ordinal for the device type (e.g. "cuda:X", where is the ordinal).
Alternatively, can be an object representing the device on which the
computation will take place. Default: None, uses the same device as `model`.
Example:
>>> lr_finder = LRFinder(net, optimizer, criterion, device="cuda")
>>> lr_finder.range_test(dataloader, end_lr=100, num_iter=100)
Cyclical Learning Rates for Training Neural Networks: https://arxiv.org/abs/1506.01186
fastai/lr_find: https://github.com/fastai/fastai
"""
def __init__(self, model, optimizer, criterion, device=None):
self.model = model
self.optimizer = optimizer
self.criterion = criterion
self.history = {"lr": [], "loss": []}
self.best_loss = None
# Save the original state of the model and optimizer so they can be restored if
# needed
self.model_state = model.state_dict()
self.model_device = next(self.model.parameters()).device
self.optimizer_state = optimizer.state_dict()
# If device is None, use the same as the model
if device:
self.device = device
else:
self.device = self.model_device
def reset(self):
"""Restores the model and optimizer to their initial states."""
self.model.load_state_dict(self.model_state)
self.model.to(self.model_device)
self.optimizer.load_state_dict(self.optimizer_state)
def range_test(
self,
train_loader,
val_loader=None,
end_lr=10,
num_iter=100,
step_mode="exp",
smooth_f=0.05,
diverge_th=5,
):
"""Performs the learning rate range test.
Arguments:
train_loader (torch.utils.data.DataLoader): the training set data laoder.
val_loader (torch.utils.data.DataLoader, optional): if `None` the range test
will only use the training loss. When given a data loader, the model is
evaluated after each iteration on that dataset and the evaluation loss
is used. Note that in this mode the test takes significantly longer but
generally produces more precise results. Default: None.
end_lr (float, optional): the maximum learning rate to test. Default: 10.
num_iter (int, optional): the number of iterations over which the test
occurs. Default: 100.
step_mode (str, optional): one of the available learning rate policies,
linear or exponential ("linear", "exp"). Default: "exp".
smooth_f (float, optional): the loss smoothing factor within the [0, 1[
interval. Disabled if set to 0, otherwise the loss is smoothed using
exponential smoothing. Default: 0.05.
diverge_th (int, optional): the test is stopped when the loss surpasses the
threshold: diverge_th * best_loss. Default: 5.
"""
# Reset test results
self.history = {"lr": [], "loss": []}
self.best_loss = None
# Move the model to the proper device
self.model.to(self.device)
# Initialize the proper learning rate policy
if step_mode.lower() == "exp":
lr_schedule = ExponentialLR(self.optimizer, end_lr, num_iter)
elif step_mode.lower() == "linear":
lr_schedule = LinearLR(self.optimizer, end_lr, num_iter)
else:
raise ValueError("expected one of (exp, linear), got {}".format(step_mode))
if smooth_f < 0 or smooth_f >= 1:
raise ValueError("smooth_f is outside the range [0, 1[")
# Create an iterator to get data batch by batch
iterator = iter(train_loader)
for iteration in tqdm(range(num_iter)):
# Get a new set of inputs and labels
try:
inputs, labels = next(iterator)
except StopIteration:
iterator = iter(train_loader)
inputs, labels = next(iterator)
# Train on batch and retrieve loss
loss = self._train_batch(inputs, labels)
if val_loader:
loss = self._validate(val_loader)
# Update the learning rate
lr_schedule.step()
self.history["lr"].append(lr_schedule.get_lr()[0])
# Track the best loss and smooth it if smooth_f is specified
if iteration == 0:
self.best_loss = loss
else:
if smooth_f > 0:
loss = smooth_f * loss + (1 - smooth_f) * self.history["loss"][-1]
if loss < self.best_loss:
self.best_loss = loss
# Check if the loss has diverged; if it has, stop the test
self.history["loss"].append(loss)
if loss > diverge_th * self.best_loss:
print("Stopping early, the loss has diverged")
break
print("Learning rate search finished. See the graph with {finder_name}.plot()")
def _train_batch(self, inputs, labels):
# Set model to training mode
# self.model.train()
# Move data to the correct device
inputs = inputs.to(self.device)
labels = labels.to(self.device)
# Forward pass
self.optimizer.zero_grad()
outputs = self.model(inputs)
loss = self.criterion(outputs, labels)
# Backward pass
loss.backward()
self.optimizer.step()
return loss.item()
def _validate(self, dataloader):
# Set model to evaluation mode and disable gradient computation
running_loss = 0
self.model.eval()
with torch.no_grad():
for inputs, labels in dataloader:
# Move data to the correct device
inputs = inputs.to(self.device)
labels = labels.to(self.device)
# Forward pass and loss computation
outputs = self.model(inputs)
loss = self.criterion(outputs, labels)
running_loss += loss.item() * inputs.size(0)
return running_loss / len(dataloader.dataset)
def plot(self, skip_start=10, skip_end=5, log_lr=True):
"""Plots the learning rate range test.
Arguments:
skip_start (int, optional): number of batches to trim from the start.
Default: 10.
skip_end (int, optional): number of batches to trim from the start.
Default: 5.
log_lr (bool, optional): True to plot the learning rate in a logarithmic
scale; otherwise, plotted in a linear scale. Default: True.
"""
if skip_start < 0:
raise ValueError("skip_start cannot be negative")
if skip_end < 0:
raise ValueError("skip_end cannot be negative")
# Get the data to plot from the history dictionary. Also, handle skip_end=0
# properly so the behaviour is the expected
lrs = self.history["lr"]
losses = self.history["loss"]
if skip_end == 0:
lrs = lrs[skip_start:]
losses = losses[skip_start:]
else:
lrs = lrs[skip_start:-skip_end]
losses = losses[skip_start:-skip_end]
# Plot loss as a function of the learning rate
plt.plot(lrs, losses)
if log_lr:
plt.xscale("log")
plt.xlabel("Learning rate")
plt.ylabel("Loss")
plt.show()
class LinearLR(_LRScheduler):
"""Linearly increases the learning rate between two boundaries over a number of
iterations.
Arguments:
optimizer (torch.optim.Optimizer): wrapped optimizer.
end_lr (float, optional): the initial learning rate which is the lower
boundary of the test. Default: 10.
num_iter (int, optional): the number of iterations over which the test
occurs. Default: 100.
last_epoch (int): the index of last epoch. Default: -1.
"""
def __init__(self, optimizer, end_lr, num_iter, last_epoch=-1):
self.end_lr = end_lr
self.num_iter = num_iter
super(LinearLR, self).__init__(optimizer, last_epoch)
def get_lr(self):
curr_iter = self.last_epoch + 1
r = curr_iter / self.num_iter
return [base_lr + r * (self.end_lr - base_lr) for base_lr in self.base_lrs]
class ExponentialLR(_LRScheduler):
"""Exponentially increases the learning rate between two boundaries over a number of
iterations.
Arguments:
optimizer (torch.optim.Optimizer): wrapped optimizer.
end_lr (float, optional): the initial learning rate which is the lower
boundary of the test. Default: 10.
num_iter (int, optional): the number of iterations over which the test
occurs. Default: 100.
last_epoch (int): the index of last epoch. Default: -1.
"""
def __init__(self, optimizer, end_lr, num_iter, last_epoch=-1):
self.end_lr = end_lr
self.num_iter = num_iter
super(ExponentialLR, self).__init__(optimizer, last_epoch)
def get_lr(self):
curr_iter = self.last_epoch + 1
r = curr_iter / self.num_iter
return [base_lr * (self.end_lr / base_lr) ** r for base_lr in self.base_lrs]
trans = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (1.0,))])
root = './data'
if not os.path.exists(root):
os.mkdir(root)
train_set = dset.MNIST(root=root, train=True, transform=trans, download=True)
test_set = dset.MNIST(root=root, train=False, transform=trans, download=True)
batch_size = 64
train_loader = torch.utils.data.DataLoader(
dataset=train_set,
batch_size=batch_size,
shuffle=True)
test_loader = torch.utils.data.DataLoader(
dataset=test_set,
batch_size=batch_size,
shuffle=True)
class NeuralNet(nn.Module):
def __init__(self):
super(NeuralNet, self).__init__()
self.fc1 = nn.Linear(28*28, 500)
self.fc2 = nn.Linear(500, 256)
self.fc3 = nn.Linear(256, 10)
def forward(self, x):
x = x.view(-1, 28*28)
x = F.relu(self.fc1(x))
x = F.relu(self.fc2(x))
x = self.fc3(x)
return x
num_epochs = 2
random_sample_size = 200
# Hyper-parameters
input_size = 100
hidden_size = 100
num_classes = 10
learning_rate = .0001
# Device configuration
device = 'cpu'
model = NeuralNet().to(device)
# Loss and optimizer
criterion = nn.CrossEntropyLoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
# lr_finder = LRFinder(model, optimizer, criterion, device="cpu")
# lr_finder.range_test(train_loader, end_lr=100, num_iter=100)
# lr_finder.plot()
# optimizer = torch.optim.Adam(model.parameters(), lr=lr_finder.history['lr'][0])
# print(lr_finder.history['lr'])
predicted_test = []
labels_l = []
actual_values = []
predicted_values = []
N = len(train_loader)
# Train the model
total_step = len(train_loader)
for epoch in range(num_epochs):
for i, (images, labels) in enumerate(train_loader):
# Move tensors to the configured device
# images = images.reshape(-1, 50176).to(device)
images = images.to(device)
labels = labels.to(device)
# Forward pass
outputs = model(images)
predicted = outputs.data.max(1)[1]
predicted_test.append(predicted.cpu().numpy())
labels_l.append(labels.cpu().numpy())
loss = criterion(outputs, labels)
# Backward and optimize
optimizer.zero_grad()
loss.backward()
optimizer.step()
predicted_values.append(np.concatenate(predicted_test).ravel())
actual_values.append(np.concatenate(labels_l).ravel())
print ('Epoch [{}/{}], Step [{}/{}], Loss: {:.4f}'.format(epoch+1, num_epochs, i+1, total_step, loss.item()))
print('training accuracy : ', 100 * len((np.where(np.array(predicted_values[0])==(np.array(actual_values[0])))[0])) / len(actual_values[0]))
Результаты:
Epoch [1/2], Step [938/938], Loss: 0.5374
training accuracy : 84.09833333333333
Epoch [2/2], Step [938/938], Loss: 0.2055
training accuracy : 84.09833333333333
С кодом поиска скорости обучения, не комментируемым:
Ниже закомментированный код теперь не комментируется:
criterion = nn.CrossEntropyLoss()
optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)
lr_finder = LRFinder(model, optimizer, criterion, device="cpu")
lr_finder.range_test(train_loader, end_lr=100, num_iter=100)
lr_finder.plot()
optimizer = torch.optim.Adam(model.parameters(), lr=lr_finder.history['lr'][0])
print(lr_finder.history['lr'])
модель достигает результатов после двух эпох:
Epoch [1/2], Step [938/938], Loss: 3.7311
training accuracy : 9.93
Epoch [2/2], Step [938/938], Loss: 3.5106
training accuracy : 9.93
Можно увидеть, что точность тренировки намного ниже 84.09833333333333 против 9.93.Должен ли измеритель скорости обучения находить скорость обучения, позволяющую достичь большей точности тренировочного набора?