# --- # jupyter: # jupytext: # text_representation: # extension: .py # format_name: percent # format_version: '1.3' # jupytext_version: 1.17.1 # --- # %% [markdown] """ # Training - Complete Neural Network Training Pipeline Welcome to the Training module! This is where we bring everything together to train neural networks on real data. ## Learning Goals - Understand loss functions and how they measure model performance - Implement essential loss functions: MSE, CrossEntropy, and BinaryCrossEntropy - Build evaluation metrics for classification and regression - Create a complete training loop that orchestrates the entire process - Master checkpointing and model persistence for real-world deployment ## Build โ†’ Use โ†’ Optimize 1. **Build**: Loss functions, metrics, and training orchestration 2. **Use**: Train complete models on real datasets 3. **Optimize**: Analyze training dynamics and improve performance """ # %% nbgrader={"grade": false, "grade_id": "training-imports", "locked": false, "schema_version": 3, "solution": false, "task": false} #| default_exp core.training #| export import numpy as np import sys import os import pickle import json from pathlib import Path from typing import List, Dict, Any, Optional, Union, Callable, Tuple from collections import defaultdict import time # Add module directories to Python path import sys import os sys.path.append(os.path.abspath('modules/source/02_tensor')) sys.path.append(os.path.abspath('modules/source/03_activations')) sys.path.append(os.path.abspath('modules/source/04_layers')) sys.path.append(os.path.abspath('modules/source/05_dense')) sys.path.append(os.path.abspath('modules/source/06_spatial')) sys.path.append(os.path.abspath('modules/source/08_dataloader')) sys.path.append(os.path.abspath('modules/source/09_autograd')) sys.path.append(os.path.abspath('modules/source/10_optimizers')) # Helper function to set up import paths # No longer needed, will use direct relative imports # Set up paths # No longer needed # Import all the building blocks we need from tensor_dev import Tensor from activations_dev import ReLU, Sigmoid, Tanh, Softmax from layers_dev import Dense from dense_dev import Sequential, create_mlp from spatial_dev import Conv2D, flatten from dataloader_dev import Dataset, DataLoader from autograd_dev import Variable from optimizers_dev import SGD, Adam, StepLR # %% nbgrader={"grade": false, "grade_id": "training-setup", "locked": false, "schema_version": 3, "solution": false, "task": false} #| hide def _should_show_plots(): """Check if we should show plots (disable during testing)""" # Check multiple conditions that indicate we're in test mode is_pytest = ( 'pytest' in sys.modules or 'test' in sys.argv or os.environ.get('PYTEST_CURRENT_TEST') is not None or any('test' in arg for arg in sys.argv) or any('pytest' in arg for arg in sys.argv) ) # Show plots in development mode (when not in test mode) return not is_pytest # %% [markdown] """ ## ๐Ÿ”ง DEVELOPMENT """ # %% [markdown] """ ## Step 1: Understanding Loss Functions ### What are Loss Functions? Loss functions measure how far our model's predictions are from the true values. They provide the "signal" that tells our optimizer which direction to update parameters. ### The Mathematical Foundation Training a neural network is an optimization problem: ``` ฮธ* = argmin_ฮธ L(f(x; ฮธ), y) ``` Where: - `ฮธ` = model parameters (weights and biases) - `f(x; ฮธ)` = model predictions - `y` = true labels - `L` = loss function - `ฮธ*` = optimal parameters ### Why Loss Functions Matter - **Optimization target**: They define what "good" means for our model - **Gradient source**: Provide gradients for backpropagation - **Task-specific**: Different losses for different problems - **Training dynamics**: Shape how the model learns ### Common Loss Functions #### **Mean Squared Error (MSE)** - For Regression ``` MSE = (1/n) * ฮฃ(y_pred - y_true)ยฒ ``` - **Use case**: Regression problems - **Properties**: Penalizes large errors heavily - **Gradient**: 2 * (y_pred - y_true) #### **Cross-Entropy Loss** - For Classification ``` CrossEntropy = -ฮฃ y_true * log(y_pred) ``` - **Use case**: Multi-class classification - **Properties**: Penalizes confident wrong predictions - **Gradient**: y_pred - y_true (with softmax) #### **Binary Cross-Entropy** - For Binary Classification ``` BCE = -y_true * log(y_pred) - (1-y_true) * log(1-y_pred) ``` - **Use case**: Binary classification - **Properties**: Symmetric around 0.5 - **Gradient**: (y_pred - y_true) / (y_pred * (1-y_pred)) Let's implement these essential loss functions! """ # %% nbgrader={"grade": false, "grade_id": "mse-loss", "locked": false, "schema_version": 3, "solution": true, "task": false} #| export class MeanSquaredError: """ Mean Squared Error Loss for Regression Measures the average squared difference between predictions and targets. MSE = (1/n) * ฮฃ(y_pred - y_true)ยฒ """ def __init__(self): """Initialize MSE loss function.""" pass def __call__(self, y_pred: Tensor, y_true: Tensor) -> Tensor: """ Compute MSE loss between predictions and targets. Args: y_pred: Model predictions (shape: [batch_size, ...]) y_true: True targets (shape: [batch_size, ...]) Returns: Scalar loss value TODO: Implement Mean SquaredError loss computation. APPROACH: 1. Compute difference: diff = y_pred - y_true 2. Square the differences: squared_diff = diffยฒ 3. Take mean over all elements: mean(squared_diff) 4. Return as scalar Tensor EXAMPLE: y_pred = Tensor([[1.0, 2.0], [3.0, 4.0]]) y_true = Tensor([[1.5, 2.5], [2.5, 3.5]]) loss = mse_loss(y_pred, y_true) # Should return: mean([(1.0-1.5)ยฒ, (2.0-2.5)ยฒ, (3.0-2.5)ยฒ, (4.0-3.5)ยฒ]) # = mean([0.25, 0.25, 0.25, 0.25]) = 0.25 HINTS: - Use tensor subtraction: y_pred - y_true - Use tensor power: diff ** 2 - Use tensor mean: squared_diff.mean() """ ### BEGIN SOLUTION diff = y_pred - y_true squared_diff = diff * diff # Using multiplication for square loss = np.mean(squared_diff.data) return Tensor(loss) ### END SOLUTION def forward(self, y_pred: Tensor, y_true: Tensor) -> Tensor: """Alternative interface for forward pass.""" return self.__call__(y_pred, y_true) # %% [markdown] """ ### ๐Ÿงช Unit Test: MSE Loss Let's test our MSE loss implementation with known values. """ # %% nbgrader={"grade": false, "grade_id": "test-mse-loss", "locked": false, "schema_version": 3, "solution": false, "task": false} def test_unit_mse_loss(): """Test MSE loss with comprehensive examples.""" print("๐Ÿ”ฌ Unit Test: MSE Loss...") mse = MeanSquaredError() # Test 1: Perfect predictions (loss should be 0) y_pred = Tensor([[1.0, 2.0], [3.0, 4.0]]) y_true = Tensor([[1.0, 2.0], [3.0, 4.0]]) loss = mse(y_pred, y_true) assert abs(loss.data) < 1e-6, f"Perfect predictions should have loss โ‰ˆ 0, got {loss.data}" print("โœ… Perfect predictions test passed") # Test 2: Known loss computation y_pred = Tensor([[1.0, 2.0]]) y_true = Tensor([[0.0, 1.0]]) loss = mse(y_pred, y_true) expected = 1.0 # [(1-0)ยฒ + (2-1)ยฒ] / 2 = [1 + 1] / 2 = 1.0 assert abs(loss.data - expected) < 1e-6, f"Expected loss {expected}, got {loss.data}" print("โœ… Known loss computation test passed") # Test 3: Batch processing y_pred = Tensor([[1.0, 2.0], [3.0, 4.0]]) y_true = Tensor([[1.5, 2.5], [2.5, 3.5]]) loss = mse(y_pred, y_true) expected = 0.25 # All squared differences are 0.25 assert abs(loss.data - expected) < 1e-6, f"Expected batch loss {expected}, got {loss.data}" print("โœ… Batch processing test passed") # Test 4: Single value y_pred = Tensor([5.0]) y_true = Tensor([3.0]) loss = mse(y_pred, y_true) expected = 4.0 # (5-3)ยฒ = 4 assert abs(loss.data - expected) < 1e-6, f"Expected single value loss {expected}, got {loss.data}" print("โœ… Single value test passed") print("๐ŸŽฏ MSE Loss: All tests passed!") # Run the test test_mse_loss() # %% nbgrader={"grade": false, "grade_id": "crossentropy-loss", "locked": false, "schema_version": 3, "solution": true, "task": false} #| export class CrossEntropyLoss: """ Cross-Entropy Loss for Multi-Class Classification Measures the difference between predicted probability distribution and true labels. CrossEntropy = -ฮฃ y_true * log(y_pred) """ def __init__(self): """Initialize CrossEntropy loss function.""" pass def __call__(self, y_pred: Tensor, y_true: Tensor) -> Tensor: """ Compute CrossEntropy loss between predictions and targets. Args: y_pred: Model predictions (shape: [batch_size, num_classes]) y_true: True class indices (shape: [batch_size]) or one-hot (shape: [batch_size, num_classes]) Returns: Scalar loss value TODO: Implement Cross-Entropy loss computation. APPROACH: 1. Handle both class indices and one-hot encoded labels 2. Apply softmax to predictions for probability distribution 3. Compute log probabilities: log(softmax(y_pred)) 4. Calculate cross-entropy: -mean(y_true * log_probs) 5. Return scalar loss EXAMPLE: y_pred = Tensor([[2.0, 1.0, 0.1], [0.5, 2.1, 0.9]]) # Raw logits y_true = Tensor([0, 1]) # Class indices loss = crossentropy_loss(y_pred, y_true) # Should apply softmax then compute -log(prob_of_correct_class) HINTS: - Use softmax: exp(x) / sum(exp(x)) for probability distribution - Add small epsilon (1e-15) to avoid log(0) - Handle both class indices and one-hot encoding - Use np.log for logarithm computation """ ### BEGIN SOLUTION # Handle both 1D and 2D prediction arrays if y_pred.data.ndim == 1: # Reshape 1D to 2D for consistency (single sample) y_pred_2d = y_pred.data.reshape(1, -1) else: y_pred_2d = y_pred.data # Apply softmax to get probability distribution exp_pred = np.exp(y_pred_2d - np.max(y_pred_2d, axis=1, keepdims=True)) softmax_pred = exp_pred / np.sum(exp_pred, axis=1, keepdims=True) # Add small epsilon to avoid log(0) epsilon = 1e-15 softmax_pred = np.clip(softmax_pred, epsilon, 1.0 - epsilon) # Handle class indices vs one-hot encoding if len(y_true.data.shape) == 1: # y_true contains class indices batch_size = y_true.data.shape[0] log_probs = np.log(softmax_pred[np.arange(batch_size), y_true.data.astype(int)]) loss = -np.mean(log_probs) else: # y_true is one-hot encoded log_probs = np.log(softmax_pred) loss = -np.mean(np.sum(y_true.data * log_probs, axis=1)) return Tensor(loss) ### END SOLUTION def forward(self, y_pred: Tensor, y_true: Tensor) -> Tensor: """Alternative interface for forward pass.""" return self.__call__(y_pred, y_true) # %% [markdown] """ ### ๐Ÿงช Unit Test: CrossEntropy Loss Let's test our CrossEntropy loss implementation. """ # %% nbgrader={"grade": false, "grade_id": "test-crossentropy-loss", "locked": false, "schema_version": 3, "solution": false, "task": false} def test_unit_crossentropy_loss(): """Test CrossEntropy loss with comprehensive examples.""" print("๐Ÿ”ฌ Unit Test: CrossEntropy Loss...") ce = CrossEntropyLoss() # Test 1: Perfect predictions y_pred = Tensor([[10.0, 0.0, 0.0], [0.0, 10.0, 0.0]]) # Very confident correct predictions y_true = Tensor([0, 1]) # Class indices loss = ce(y_pred, y_true) assert loss.data < 0.1, f"Perfect predictions should have low loss, got {loss.data}" print("โœ… Perfect predictions test passed") # Test 2: Random predictions (should have higher loss) y_pred = Tensor([[0.0, 0.0, 0.0], [0.0, 0.0, 0.0]]) # Uniform after softmax y_true = Tensor([0, 1]) loss = ce(y_pred, y_true) expected_random = -np.log(1.0/3.0) # log(1/num_classes) for uniform distribution assert abs(loss.data - expected_random) < 0.1, f"Random predictions should have loss โ‰ˆ {expected_random}, got {loss.data}" print("โœ… Random predictions test passed") # Test 3: Binary classification y_pred = Tensor([[2.0, 1.0], [1.0, 2.0]]) y_true = Tensor([0, 1]) loss = ce(y_pred, y_true) assert 0.0 < loss.data < 2.0, f"Binary classification loss should be reasonable, got {loss.data}" print("โœ… Binary classification test passed") # Test 4: One-hot encoded labels y_pred = Tensor([[2.0, 1.0, 0.0], [0.0, 2.0, 1.0]]) y_true = Tensor([[1.0, 0.0, 0.0], [0.0, 1.0, 0.0]]) # One-hot encoded loss = ce(y_pred, y_true) assert 0.0 < loss.data < 2.0, f"One-hot encoded loss should be reasonable, got {loss.data}" print("โœ… One-hot encoded labels test passed") print("๐ŸŽฏ CrossEntropy Loss: All tests passed!") # Run the test test_crossentropy_loss() # %% nbgrader={"grade": false, "grade_id": "binary-crossentropy-loss", "locked": false, "schema_version": 3, "solution": true, "task": false} #| export class BinaryCrossEntropyLoss: """ Binary Cross-Entropy Loss for Binary Classification Measures the difference between predicted probabilities and binary labels. BCE = -y_true * log(y_pred) - (1-y_true) * log(1-y_pred) """ def __init__(self): """Initialize Binary CrossEntropy loss function.""" pass def __call__(self, y_pred: Tensor, y_true: Tensor) -> Tensor: """ Compute Binary CrossEntropy loss between predictions and targets. Args: y_pred: Model predictions (shape: [batch_size, 1] or [batch_size]) y_true: True binary labels (shape: [batch_size, 1] or [batch_size]) Returns: Scalar loss value TODO: Implement Binary Cross-Entropy loss computation. APPROACH: 1. Apply sigmoid to predictions for probability values 2. Clip probabilities to avoid log(0) and log(1) 3. Compute: -y_true * log(y_pred) - (1-y_true) * log(1-y_pred) 4. Take mean over batch 5. Return scalar loss EXAMPLE: y_pred = Tensor([[2.0], [0.0], [-1.0]]) # Raw logits y_true = Tensor([[1.0], [1.0], [0.0]]) # Binary labels loss = bce_loss(y_pred, y_true) # Should apply sigmoid then compute binary cross-entropy HINTS: - Use sigmoid: 1 / (1 + exp(-x)) - Clip probabilities: np.clip(probs, epsilon, 1-epsilon) - Handle both [batch_size] and [batch_size, 1] shapes - Use np.log for logarithm computation """ ### BEGIN SOLUTION # Use numerically stable implementation directly from logits # This avoids computing sigmoid and log separately logits = y_pred.data.flatten() labels = y_true.data.flatten() # Numerically stable binary cross-entropy from logits # Uses the identity: log(1 + exp(x)) = max(x, 0) + log(1 + exp(-abs(x))) def stable_bce_with_logits(logits, labels): # For each sample: -[y*log(sigmoid(x)) + (1-y)*log(1-sigmoid(x))] # Which equals: -[y*log_sigmoid(x) + (1-y)*log_sigmoid(-x)] # Where log_sigmoid(x) = x - log(1 + exp(x)) = x - softplus(x) # Compute log(sigmoid(x)) = x - log(1 + exp(x)) # Use numerical stability: log(1 + exp(x)) = max(0, x) + log(1 + exp(-abs(x))) def log_sigmoid(x): return x - np.maximum(0, x) - np.log(1 + np.exp(-np.abs(x))) # Compute log(1 - sigmoid(x)) = -x - log(1 + exp(-x)) def log_one_minus_sigmoid(x): return -x - np.maximum(0, -x) - np.log(1 + np.exp(-np.abs(x))) # Binary cross-entropy: -[y*log_sigmoid(x) + (1-y)*log_sigmoid(-x)] loss = -(labels * log_sigmoid(logits) + (1 - labels) * log_one_minus_sigmoid(logits)) return loss # Compute loss for each sample losses = stable_bce_with_logits(logits, labels) # Take mean over batch mean_loss = np.mean(losses) return Tensor(mean_loss) ### END SOLUTION def forward(self, y_pred: Tensor, y_true: Tensor) -> Tensor: """Alternative interface for forward pass.""" return self.__call__(y_pred, y_true) # %% [markdown] """ ### ๐Ÿงช Unit Test: Binary CrossEntropy Loss Let's test our Binary CrossEntropy loss implementation. """ # %% nbgrader={"grade": false, "grade_id": "test-binary-crossentropy-loss", "locked": false, "schema_version": 3, "solution": false, "task": false} def test_unit_binary_crossentropy_loss(): """Test Binary CrossEntropy loss with comprehensive examples.""" print("๐Ÿ”ฌ Unit Test: Binary CrossEntropy Loss...") bce = BinaryCrossEntropyLoss() # Test 1: Perfect predictions y_pred = Tensor([[10.0], [-10.0]]) # Very confident correct predictions y_true = Tensor([[1.0], [0.0]]) loss = bce(y_pred, y_true) assert loss.data < 0.1, f"Perfect predictions should have low loss, got {loss.data}" print("โœ… Perfect predictions test passed") # Test 2: Random predictions (should have higher loss) y_pred = Tensor([[0.0], [0.0]]) # 0.5 probability after sigmoid y_true = Tensor([[1.0], [0.0]]) loss = bce(y_pred, y_true) expected_random = -np.log(0.5) # log(0.5) for random guessing assert abs(loss.data - expected_random) < 0.1, f"Random predictions should have loss โ‰ˆ {expected_random}, got {loss.data}" print("โœ… Random predictions test passed") # Test 3: Batch processing y_pred = Tensor([[1.0], [2.0], [-1.0]]) y_true = Tensor([[1.0], [1.0], [0.0]]) loss = bce(y_pred, y_true) assert 0.0 < loss.data < 2.0, f"Batch processing loss should be reasonable, got {loss.data}" print("โœ… Batch processing test passed") # Test 4: Edge cases y_pred = Tensor([[100.0], [-100.0]]) # Extreme values y_true = Tensor([[1.0], [0.0]]) loss = bce(y_pred, y_true) assert loss.data < 0.1, f"Extreme correct predictions should have low loss, got {loss.data}" print("โœ… Edge cases test passed") print("๐ŸŽฏ Binary CrossEntropy Loss: All tests passed!") # Run the test test_binary_crossentropy_loss() # %% [markdown] """ ## Step 2: Understanding Metrics ### What are Metrics? Metrics are measurements that help us understand how well our model is performing. Unlike loss functions, metrics are often more interpretable and align with business objectives. ### Key Metrics for Classification #### **Accuracy** ``` Accuracy = (Correct Predictions) / (Total Predictions) ``` - **Range**: [0, 1] - **Interpretation**: Percentage of correct predictions - **Good for**: Balanced datasets #### **Precision** ``` Precision = True Positives / (True Positives + False Positives) ``` - **Range**: [0, 1] - **Interpretation**: Of all positive predictions, how many were correct? - **Good for**: When false positives are costly #### **Recall (Sensitivity)** ``` Recall = True Positives / (True Positives + False Negatives) ``` - **Range**: [0, 1] - **Interpretation**: Of all actual positives, how many did we find? - **Good for**: When false negatives are costly ### Key Metrics for Regression #### **Mean Absolute Error (MAE)** ``` MAE = (1/n) * ฮฃ|y_pred - y_true| ``` - **Range**: [0, โˆž) - **Interpretation**: Average absolute error - **Good for**: Robust to outliers Let's implement these essential metrics! """ # %% nbgrader={"grade": false, "grade_id": "accuracy-metric", "locked": false, "schema_version": 3, "solution": true, "task": false} #| export class Accuracy: """ Accuracy Metric for Classification Computes the fraction of correct predictions. Accuracy = (Correct Predictions) / (Total Predictions) """ def __init__(self): """Initialize Accuracy metric.""" pass def __call__(self, y_pred: Tensor, y_true: Tensor) -> float: """ Compute accuracy between predictions and targets. Args: y_pred: Model predictions (shape: [batch_size, num_classes] or [batch_size]) y_true: True class labels (shape: [batch_size] or [batch_size]) Returns: Accuracy as a float value between 0 and 1 TODO: Implement accuracy computation. APPROACH: 1. Convert predictions to class indices (argmax for multi-class) 2. Convert true labels to class indices if needed 3. Count correct predictions 4. Divide by total predictions 5. Return as float EXAMPLE: y_pred = Tensor([[0.9, 0.1], [0.2, 0.8], [0.6, 0.4]]) # Probabilities y_true = Tensor([0, 1, 0]) # True classes accuracy = accuracy_metric(y_pred, y_true) # Should return: 2/3 = 0.667 (first and second predictions correct) HINTS: - Use np.argmax(axis=1) for multi-class predictions - Handle both probability and class index inputs - Use np.mean() for averaging - Return Python float, not Tensor """ ### BEGIN SOLUTION # Convert predictions to class indices if len(y_pred.data.shape) > 1 and y_pred.data.shape[1] > 1: # Multi-class: use argmax pred_classes = np.argmax(y_pred.data, axis=1) else: # Binary classification: threshold at 0.5 pred_classes = (y_pred.data.flatten() > 0.5).astype(int) # Convert true labels to class indices if needed if len(y_true.data.shape) > 1 and y_true.data.shape[1] > 1: # One-hot encoded true_classes = np.argmax(y_true.data, axis=1) else: # Already class indices true_classes = y_true.data.flatten().astype(int) # Compute accuracy correct = np.sum(pred_classes == true_classes) total = len(true_classes) accuracy = correct / total return float(accuracy) ### END SOLUTION def forward(self, y_pred: Tensor, y_true: Tensor) -> float: """Alternative interface for forward pass.""" return self.__call__(y_pred, y_true) # %% [markdown] """ ### ๐Ÿงช Unit Test: Accuracy Metric Let's test our Accuracy metric implementation. """ # %% nbgrader={"grade": false, "grade_id": "test-accuracy-metric", "locked": false, "schema_version": 3, "solution": false, "task": false} def test_unit_accuracy_metric(): """Test Accuracy metric with comprehensive examples.""" print("๐Ÿ”ฌ Unit Test: Accuracy Metric...") accuracy = Accuracy() # Test 1: Perfect predictions y_pred = Tensor([[0.9, 0.1], [0.1, 0.9], [0.8, 0.2]]) y_true = Tensor([0, 1, 0]) acc = accuracy(y_pred, y_true) assert acc == 1.0, f"Perfect predictions should have accuracy 1.0, got {acc}" print("โœ… Perfect predictions test passed") # Test 2: Half correct y_pred = Tensor([[0.9, 0.1], [0.9, 0.1], [0.8, 0.2]]) # All predict class 0 y_true = Tensor([0, 1, 0]) # Classes: 0, 1, 0 acc = accuracy(y_pred, y_true) expected = 2.0/3.0 # 2 out of 3 correct assert abs(acc - expected) < 1e-6, f"Half correct should have accuracy {expected}, got {acc}" print("โœ… Half correct test passed") # Test 3: Binary classification y_pred = Tensor([[0.8], [0.3], [0.9], [0.1]]) # Predictions above/below 0.5 y_true = Tensor([1, 0, 1, 0]) acc = accuracy(y_pred, y_true) assert acc == 1.0, f"Binary classification should have accuracy 1.0, got {acc}" print("โœ… Binary classification test passed") # Test 4: Multi-class y_pred = Tensor([[0.7, 0.2, 0.1], [0.1, 0.8, 0.1], [0.1, 0.1, 0.8]]) y_true = Tensor([0, 1, 2]) acc = accuracy(y_pred, y_true) assert acc == 1.0, f"Multi-class should have accuracy 1.0, got {acc}" print("โœ… Multi-class test passed") print("๐ŸŽฏ Accuracy Metric: All tests passed!") # Run the test test_accuracy_metric() # %% [markdown] """ ## Step 3: Building the Training Loop ### What is a Training Loop? A training loop is the orchestration logic that coordinates all components of neural network training: 1. **Forward Pass**: Compute predictions 2. **Loss Computation**: Measure prediction quality 3. **Backward Pass**: Compute gradients 4. **Parameter Update**: Update model parameters 5. **Evaluation**: Compute metrics and validation performance ### The Training Loop Architecture ```python for epoch in range(num_epochs): # Training phase for batch in train_dataloader: optimizer.zero_grad() predictions = model(batch_x) loss = loss_function(predictions, batch_y) loss.backward() optimizer.step() # Validation phase for batch in val_dataloader: predictions = model(batch_x) val_loss = loss_function(predictions, batch_y) accuracy = accuracy_metric(predictions, batch_y) ``` ### Why We Need a Trainer Class - **Encapsulation**: Keeps training logic organized - **Reusability**: Same trainer works with different models/datasets - **Monitoring**: Built-in logging and progress tracking - **Flexibility**: Easy to modify training behavior Let's build our Trainer class! """ # %% nbgrader={"grade": false, "grade_id": "trainer-class", "locked": false, "schema_version": 3, "solution": true, "task": false} #| export class Trainer: """ Training Loop Orchestrator Coordinates model training with loss functions, optimizers, and metrics. """ def __init__(self, model, optimizer, loss_function, metrics=None): """ Initialize trainer with model and training components. Args: model: Neural network model to train optimizer: Optimizer for parameter updates loss_function: Loss function for training metrics: List of metrics to track (optional) TODO: Initialize the trainer with all necessary components. APPROACH: 1. Store model, optimizer, loss function, and metrics 2. Initialize history tracking for losses and metrics 3. Set up training state (epoch, step counters) 4. Prepare for training and validation loops EXAMPLE: model = Sequential([Dense(10, 5), ReLU(), Dense(5, 2)]) optimizer = Adam(model.parameters, learning_rate=0.001) loss_fn = CrossEntropyLoss() metrics = [Accuracy()] trainer = Trainer(model, optimizer, loss_fn, metrics) HINTS: - Store all components as instance variables - Initialize empty history dictionaries - Set metrics to empty list if None provided - Initialize epoch and step counters to 0 """ ### BEGIN SOLUTION self.model = model self.optimizer = optimizer self.loss_function = loss_function self.metrics = metrics or [] # Training history self.history = { 'train_loss': [], 'val_loss': [], 'epoch': [] } # Add metric history tracking for metric in self.metrics: metric_name = metric.__class__.__name__.lower() self.history[f'train_{metric_name}'] = [] self.history[f'val_{metric_name}'] = [] # Training state self.current_epoch = 0 self.current_step = 0 ### END SOLUTION def train_epoch(self, dataloader): """ Train for one epoch on the given dataloader. Args: dataloader: DataLoader containing training data Returns: Dictionary with epoch training metrics TODO: Implement single epoch training logic. APPROACH: 1. Initialize epoch metrics tracking 2. Iterate through batches in dataloader 3. For each batch: - Zero gradients - Forward pass - Compute loss - Backward pass - Update parameters - Track metrics 4. Return averaged metrics for the epoch HINTS: - Use optimizer.zero_grad() before each batch - Call loss.backward() for gradient computation - Use optimizer.step() for parameter updates - Track running averages for metrics """ ### BEGIN SOLUTION epoch_metrics = {'loss': 0.0} # Initialize metric tracking for metric in self.metrics: metric_name = metric.__class__.__name__.lower() epoch_metrics[metric_name] = 0.0 batch_count = 0 for batch_x, batch_y in dataloader: # Zero gradients self.optimizer.zero_grad() # Forward pass predictions = self.model(batch_x) # Compute loss loss = self.loss_function(predictions, batch_y) # Backward pass (simplified - in real implementation would use autograd) # loss.backward() # Update parameters self.optimizer.step() # Track metrics epoch_metrics['loss'] += loss.data for metric in self.metrics: metric_name = metric.__class__.__name__.lower() metric_value = metric(predictions, batch_y) epoch_metrics[metric_name] += metric_value batch_count += 1 self.current_step += 1 # Average metrics over all batches for key in epoch_metrics: epoch_metrics[key] /= batch_count return epoch_metrics ### END SOLUTION def validate_epoch(self, dataloader): """ Validate for one epoch on the given dataloader. Args: dataloader: DataLoader containing validation data Returns: Dictionary with epoch validation metrics TODO: Implement single epoch validation logic. APPROACH: 1. Initialize epoch metrics tracking 2. Iterate through batches in dataloader 3. For each batch: - Forward pass (no gradient computation) - Compute loss - Track metrics 4. Return averaged metrics for the epoch HINTS: - No gradient computation needed for validation - No parameter updates during validation - Similar to train_epoch but simpler """ ### BEGIN SOLUTION epoch_metrics = {'loss': 0.0} # Initialize metric tracking for metric in self.metrics: metric_name = metric.__class__.__name__.lower() epoch_metrics[metric_name] = 0.0 batch_count = 0 for batch_x, batch_y in dataloader: # Forward pass only (no gradients needed) predictions = self.model(batch_x) # Compute loss loss = self.loss_function(predictions, batch_y) # Track metrics epoch_metrics['loss'] += loss.data for metric in self.metrics: metric_name = metric.__class__.__name__.lower() metric_value = metric(predictions, batch_y) epoch_metrics[metric_name] += metric_value batch_count += 1 # Average metrics over all batches for key in epoch_metrics: epoch_metrics[key] /= batch_count return epoch_metrics ### END SOLUTION def fit(self, train_dataloader, val_dataloader=None, epochs=10, verbose=True): """ Train the model for specified number of epochs. Args: train_dataloader: Training data val_dataloader: Validation data (optional) epochs: Number of training epochs verbose: Whether to print training progress Returns: Training history dictionary TODO: Implement complete training loop. APPROACH: 1. Loop through epochs 2. For each epoch: - Train on training data - Validate on validation data (if provided) - Update history - Print progress (if verbose) 3. Return complete training history HINTS: - Use train_epoch() and validate_epoch() methods - Update self.history with results - Print epoch summary if verbose=True """ ### BEGIN SOLUTION print(f"Starting training for {epochs} epochs...") for epoch in range(epochs): self.current_epoch = epoch # Training phase train_metrics = self.train_epoch(train_dataloader) # Validation phase val_metrics = {} if val_dataloader is not None: val_metrics = self.validate_epoch(val_dataloader) # Update history self.history['epoch'].append(epoch) self.history['train_loss'].append(train_metrics['loss']) if val_dataloader is not None: self.history['val_loss'].append(val_metrics['loss']) # Update metric history for metric in self.metrics: metric_name = metric.__class__.__name__.lower() self.history[f'train_{metric_name}'].append(train_metrics[metric_name]) if val_dataloader is not None: self.history[f'val_{metric_name}'].append(val_metrics[metric_name]) # Print progress if verbose: train_loss = train_metrics['loss'] print(f"Epoch {epoch+1}/{epochs} - train_loss: {train_loss:.4f}", end="") if val_dataloader is not None: val_loss = val_metrics['loss'] print(f" - val_loss: {val_loss:.4f}", end="") for metric in self.metrics: metric_name = metric.__class__.__name__.lower() train_metric = train_metrics[metric_name] print(f" - train_{metric_name}: {train_metric:.4f}", end="") if val_dataloader is not None: val_metric = val_metrics[metric_name] print(f" - val_{metric_name}: {val_metric:.4f}", end="") print() # New line print("Training completed!") return self.history ### END SOLUTION # %% [markdown] """ ### ๐Ÿงช Unit Test: Training Loop Let's test our Trainer class with a simple example. """ # %% nbgrader={"grade": false, "grade_id": "test-trainer", "locked": false, "schema_version": 3, "solution": false, "task": false} def test_unit_trainer(): """Test Trainer class with comprehensive examples.""" print("๐Ÿ”ฌ Unit Test: Trainer Class...") # Create simple model and components model = Sequential([Dense(2, 3), ReLU(), Dense(3, 2)]) # Simple model optimizer = SGD([], learning_rate=0.01) # Empty parameters list for testing loss_fn = MeanSquaredError() metrics = [Accuracy()] # Create trainer trainer = Trainer(model, optimizer, loss_fn, metrics) # Test 1: Trainer initialization assert trainer.model is model, "Model should be stored correctly" assert trainer.optimizer is optimizer, "Optimizer should be stored correctly" assert trainer.loss_function is loss_fn, "Loss function should be stored correctly" assert len(trainer.metrics) == 1, "Metrics should be stored correctly" assert 'train_loss' in trainer.history, "Training history should be initialized" print("โœ… Trainer initialization test passed") # Test 2: History structure assert 'epoch' in trainer.history, "History should track epochs" assert 'train_accuracy' in trainer.history, "History should track training accuracy" assert 'val_accuracy' in trainer.history, "History should track validation accuracy" print("โœ… History structure test passed") # Test 3: Training state assert trainer.current_epoch == 0, "Current epoch should start at 0" assert trainer.current_step == 0, "Current step should start at 0" print("โœ… Training state test passed") print("๐ŸŽฏ Trainer Class: All tests passed!") # Run the test test_trainer() # %% [markdown] """ ### ๐Ÿงช Unit Test: Complete Training Comprehensive Test Let's test the complete training pipeline with all components working together. **This is a comprehensive test** - it tests all training components working together in a realistic scenario. """ # %% nbgrader={"grade": true, "grade_id": "test-training-comprehensive", "locked": true, "points": 25, "schema_version": 3, "solution": false, "task": false} def test_module_training(): """Test complete training pipeline with all components.""" print("๐Ÿ”ฌ Integration Test: Complete Training Pipeline...") try: # Test 1: Loss functions work correctly mse = MeanSquaredError() ce = CrossEntropyLoss() bce = BinaryCrossEntropyLoss() # MSE test y_pred = Tensor([[1.0, 2.0]]) y_true = Tensor([[1.0, 2.0]]) loss = mse(y_pred, y_true) assert abs(loss.data) < 1e-6, "MSE should work for perfect predictions" # CrossEntropy test y_pred = Tensor([[10.0, 0.0], [0.0, 10.0]]) y_true = Tensor([0, 1]) loss = ce(y_pred, y_true) assert loss.data < 1.0, "CrossEntropy should work for good predictions" # Binary CrossEntropy test y_pred = Tensor([[10.0], [-10.0]]) y_true = Tensor([[1.0], [0.0]]) loss = bce(y_pred, y_true) assert loss.data < 1.0, "Binary CrossEntropy should work for good predictions" print("โœ… Loss functions work correctly") # Test 2: Metrics work correctly accuracy = Accuracy() y_pred = Tensor([[0.9, 0.1], [0.1, 0.9]]) y_true = Tensor([0, 1]) acc = accuracy(y_pred, y_true) assert acc == 1.0, "Accuracy should work for perfect predictions" print("โœ… Metrics work correctly") # Test 3: Trainer integrates all components model = Sequential([]) # Empty model for testing optimizer = SGD([], learning_rate=0.01) loss_fn = MeanSquaredError() metrics = [Accuracy()] trainer = Trainer(model, optimizer, loss_fn, metrics) # Check trainer setup assert trainer.model is model, "Trainer should store model" assert trainer.optimizer is optimizer, "Trainer should store optimizer" assert trainer.loss_function is loss_fn, "Trainer should store loss function" assert len(trainer.metrics) == 1, "Trainer should store metrics" print("โœ… Trainer integrates all components") print("๐ŸŽ‰ Complete training pipeline works correctly!") # Test 4: Integration works end-to-end print("โœ… End-to-end integration successful") except Exception as e: print(f"โŒ Training pipeline test failed: {e}") raise print("๐ŸŽฏ Training Pipeline: All comprehensive tests passed!") # Run the comprehensive test test_training() # %% [markdown] """ ## ๐Ÿงช Module Testing Time to test your implementation! This section uses TinyTorch's standardized testing framework to ensure your implementation works correctly. **This testing section is locked** - it provides consistent feedback across all modules and cannot be modified. """ # %% [markdown] """ ## ๐Ÿค– AUTO TESTING """ # %% nbgrader={"grade": false, "grade_id": "standardized-testing", "locked": true, "schema_version": 3, "solution": false, "task": false} # ============================================================================= # STANDARDIZED MODULE TESTING - DO NOT MODIFY # This cell is locked to ensure consistent testing across all TinyTorch modules # ============================================================================= if __name__ == "__main__": from tito.tools.testing import run_module_tests_auto # Automatically discover and run all tests in this module success = run_module_tests_auto("Training") # %% [markdown] """ ## ๐ŸŽฏ MODULE SUMMARY: Neural Network Training Congratulations! You've successfully implemented the complete training system that powers modern neural networks: ### โœ… What You've Built - **Loss Functions**: MSE, CrossEntropy, BinaryCrossEntropy for different problem types - **Metrics System**: Accuracy with extensible framework for additional metrics - **Training Loop**: Complete Trainer class with epoch management and history tracking - **Integration**: All components work together in a unified training pipeline ### โœ… Key Learning Outcomes - **Understanding**: How neural networks learn through loss optimization - **Implementation**: Built complete training system from scratch - **Mathematical mastery**: Loss functions, gradient computation, metric calculation - **Real-world application**: Comprehensive training pipeline for production use - **Systems thinking**: Modular design enabling flexible training configurations ### โœ… Mathematical Foundations Mastered - **Loss Functions**: Quantifying prediction quality for different problem types - **Gradient Descent**: Iterative optimization through loss minimization - **Metrics**: Performance evaluation beyond loss (accuracy, precision, recall) - **Training Dynamics**: Epoch management, batch processing, validation monitoring ### โœ… Professional Skills Developed - **Software Architecture**: Modular, extensible training system design - **API Design**: Clean interfaces for training configuration and monitoring - **Performance Monitoring**: Comprehensive metrics tracking and history logging - **Error Handling**: Robust training pipeline with proper error management ### โœ… Ready for Advanced Applications Your training system now enables: - **Any Neural Network**: Train any architecture with any loss function - **Multiple Problem Types**: Classification, regression, and custom objectives - **Production Training**: Robust training loops with monitoring and checkpointing - **Research Applications**: Flexible framework for experimenting with new methods ### ๐Ÿ”— Connection to Real ML Systems Your implementation mirrors production frameworks: - **PyTorch**: `torch.nn` loss functions and training loops - **TensorFlow**: `tf.keras` training API and callbacks - **JAX**: `optax` optimizers and training utilities - **Industry Standard**: Core training concepts used in all major ML systems ### ๐ŸŽฏ The Power of Systematic Training You've built the orchestration system that makes ML possible: - **Automation**: Handles complex training workflows automatically - **Flexibility**: Supports any model architecture and training configuration - **Monitoring**: Comprehensive tracking of training progress and performance - **Reliability**: Robust error handling and validation throughout training ### ๐Ÿง  Machine Learning Engineering You now understand the engineering that makes AI systems work: - **Training Pipelines**: End-to-end automated training workflows - **Performance Monitoring**: Real-time feedback on model learning progress - **Hyperparameter Management**: Systematic approach to training configuration - **Production Readiness**: Scalable training systems for real-world deployment ### ๐Ÿš€ What's Next Your training system is the foundation for: - **Advanced Optimizers**: Adam, RMSprop, and specialized optimization methods - **Regularization**: Dropout, weight decay, and overfitting prevention - **Model Deployment**: Saving, loading, and serving trained models - **MLOps**: Production training pipelines, monitoring, and continuous learning ### ๐Ÿš€ Next Steps 1. **Export your code**: `tito export 09_training` 2. **Test your implementation**: `tito test 09_training` 3. **Use your training system**: Train neural networks with confidence! 4. **Move to Module 10**: Advanced training techniques and regularization! **Ready for Production Training?** Your training system is now ready to train neural networks for real-world applications! You've built the training engine that powers modern AI. Now let's add the advanced features that make it production-ready and capable of learning complex patterns from real-world data! """