我已经贯彻落实正确的学习率取景器吗?

问题描述 投票:0回答:1

基于纸https://github.com/davidtvs/pytorch-lr-finderhttps://arxiv.org/abs/1506.01186使用实施lr_finder的

如果没有学习率取景器:

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]))

结果:

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

随着学习率取景器的代码是注释掉:

下面注释掉的代码目前不是取消注释:

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'])

该模型实现了两个时代之后的结果:

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

可以看到训练精度低得多84.098333333333339.93。如果学习率取景器找到一个学习速率,允许获得更大的训练集的准确性?

deep-learning computer-vision pytorch mnist fast-ai
1个回答
1
投票

该代码看起来像它的正确使用实现。要回答你的最后一个问题,

可以看到训练精度要低得多84.09833333333333与9.93。如果学习率取景器找到一个学习速率,允许获得更大的训练集的准确性?

并不是的。有几点

  1. 您正在使用的亚当,自适应地缩放学习率在网络中的每个参数。最初的学习速度的重要性将变得,相对于传统的SGD,例如。亚当写的原作者 超参数具有直观interpre-tations,通常只需要很少的调整。 [1]
  2. 一个精心调整学习率应该让你的网络更快地收敛(即在更短的时期)。它可能仍然找到相同的局部极小作为高等院校速度,但速度更快。过高学习率的风险是,你过冲局部极小,而是找到一个穷。随着一个微小的学习速度,你应该得到最好的训练精度,但是这将需要很长时间。
  3. 你训练你的模型只有2时代。如果我猜的话,该算法已经发现,小的学习率产生良好的最优,但因为它小,它需要更多的时间来收敛。为了验证这一理论,我建议你运行更长的训练。

说了这么多,你的时间是用亚当与缺省参数和其他地方指挥你的注意,如造型的选择(层节点,激活等)可能会更好用了。在我的经验标准亚当的作品真的不错,在大多数情况下。

[1] https://arxiv.org/abs/1412.6980

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