from __future__ import print_function from builtins import range from builtins import object import numpy as np from scripts.classifiers.linear_svm import * from scripts.classifiers.softmax import * from past.builtins import xrange class LinearClassifier(object): def __init__(self): self.W = None def train(self, X, y, learning_rate=1e-3, reg=1e-5, num_iters=100, batch_size=200, verbose=False): """ Train this linear classifier using stochastic gradient descent. Inputs: - X: A numpy array of shape (N, D) containing training data; there are N training samples each of dimension D. - y: A numpy array of shape (N,) containing training labels; y[i] = c means that X[i] has label 0 <= c < C for C classes. - learning_rate: (float) learning rate for optimization. - reg: (float) regularization strength. - num_iters: (integer) number of steps to take when optimizing - batch_size: (integer) number of training examples to use at each step. - verbose: (boolean) If true, print progress during optimization. Outputs: A list containing the value of the loss function at each training iteration. """ num_train, dim = X.shape num_classes = np.max(y) + 1 # assume y takes values 0...K-1 where K is number of classes if self.W is None: # lazily initialize W self.W = 0.001 * np.random.randn(dim, num_classes) # Run stochastic gradient descent to optimize W loss_history = [] for it in range(num_iters): X_batch = None y_batch = None ######################################################################### # TODO: # # Sample batch_size elements from the training data and their # # corresponding labels to use in this round of gradient descent. # # Store the data in X_batch and their corresponding labels in # # y_batch; after sampling X_batch should have shape (batch_size, dim) # # and y_batch should have shape (batch_size,) # # # # Hint: Use np.random.choice to generate indices. Sampling with # # replacement is faster than sampling without replacement. # ######################################################################### # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)***** pass # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)***** # evaluate loss and gradient loss, grad = self.loss(X_batch, y_batch, reg) loss_history.append(loss) # perform parameter update ######################################################################### # TODO: # # Update the weights using the gradient and the learning rate. # ######################################################################### # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)***** pass # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)***** if verbose and it % 100 == 0: print('iteration %d / %d: loss %f' % (it, num_iters, loss)) return loss_history def predict(self, X): """ Use the trained weights of this linear classifier to predict labels for data points. Inputs: - X: A numpy array of shape (N, D) containing training data; there are N training samples each of dimension D. Returns: - y_pred: Predicted labels for the data in X. y_pred is a 1-dimensional array of length N, and each element is an integer giving the predicted class. """ y_pred = np.zeros(X.shape[0]) ########################################################################### # TODO: # # Implement this method. Store the predicted labels in y_pred. # ########################################################################### # *****START OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)***** pass # *****END OF YOUR CODE (DO NOT DELETE/MODIFY THIS LINE)***** return y_pred def loss(self, X_batch, y_batch, reg): """ Compute the loss function and its derivative. Subclasses will override this. Inputs: - X_batch: A numpy array of shape (N, D) containing a minibatch of N data points; each point has dimension D. - y_batch: A numpy array of shape (N,) containing labels for the minibatch. - reg: (float) regularization strength. Returns: A tuple containing: - loss as a single float - gradient with respect to self.W; an array of the same shape as W """ pass class LinearSVM(LinearClassifier): """ A subclass that uses the Multiclass SVM loss function """ def loss(self, X_batch, y_batch, reg): return svm_loss_vectorized(self.W, X_batch, y_batch, reg) class Softmax(LinearClassifier): """ A subclass that uses the Softmax + Cross-entropy loss function """ def loss(self, X_batch, y_batch, reg): return softmax_loss_vectorized(self.W, X_batch, y_batch, reg)