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neural_network.py
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neural_network.py
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import numpy as np
from time import time
import matplotlib.pyplot as plt
#*** neural_network.py
# Summary: Contains a class for generating a 2-layer fully connected neural network
#***
import util
import logging # For debugging purposes
# import sys
if __name__ == '__main__':
FORMAT = "[%(levelname)s:%(filename)s:%(lineno)3s] %(funcName)s(): %(message)s"
logging.basicConfig(filename='./neural_network_files/nn.log', filemode='a',format=FORMAT, level=logging.INFO) # stream=sys.stderr
logger = logging.getLogger(__name__)
logger.setLevel(logging.DEBUG)
#** Logger usage:
# logger.debug(): For all parameters useful in debugging (i.e. matrix shapes, important scalars, etc.)
# logger.info(): For all information on what the solver is doing
# logger.warning(): For all information that might cause known instability (i.e. underflow/overflow, etc.). Can also be used for places with implementations to-be-defined
# logger.error(): For notifying failed attempts at calculation (i.e. any exception, bad data, etc.)
#***
if __name__ == '__main__':
# Hyperparameters
epochs = 1000
# Best so far, acc 0.6099 with 0.814 cost dev
# lr = 0.016
# reg = 0.015
# n_hidden = 50
lr = 0.6
reg = 0
n_hidden = 300
layers = 1
batch_size = 100
var_lr = False
# Filenames for saving parameters
header = f'./neural_network_files/test_E{epochs}_LR{lr:.2e}_R{reg:.2e}_H{n_hidden}'
# folder = './neural_network_parameters/'
# filenames = [folder + 'W1.txt.gz', folder + 'W2.txt.gz',folder + 'b1.txt.gz',folder + 'b2.txt.gz']
figure_filename = './test.pdf'
plot = True
save = False
load = False
class n_layer_neural_network(util.classification_model):
"""
N layered fully connected neural network with Batch Gradient Descent optimizer
Architecture:
Features (Input) -> Activation (N Hidden)-> Softmax (Output)
All data must be shaped as (num_examples, num_features)
All labels must be shaped as (num_examples, num_classes)
Usage:
Example with 4 layers with sigmoid activation functions
nn = n_layer_neural_network(n, 100, 4, c, [util.sigmoid] * 4, [util.dsigmoid] * 4, reg=reg, verbose=True)
nn.fit(...)
nn.predict(...)
"""
def __init__(self, num_features:int, num_hidden:int, num_hidden_layers:int, num_classes:int, activation_func, d_activation_func, filenames = None, verbose = False, **kwargs):
"""
Initializes neural network
Args:
num_features (int): Number of features to consider
num_hidden (int): Number of hidden nodes per layer
num_hidden_layers (int): Number of hidden layers
num_classes (int): Number of classes to identify between
activation_func (list of lambda):
filenames (list of str, optional): File location where the dataset of weights can be loaded. Order: [W1, W2, b1, b2]. Defaults to None (no pre-loaded parameters).
verbose (bool, optional): Toggles verbose printouts.
"""
if verbose:
logger.info(f'Initializing {num_hidden_layers + 1} layer neural network')
assert num_hidden_layers == len(activation_func), 'Improper length of activation functions'
assert num_hidden_layers == len(d_activation_func), 'Improper length of derivative activation functions'
self.num_classes = num_classes
self.num_features = num_features
self.num_hidden = num_hidden
self.num_hidden_layers = num_hidden_layers
self.act = activation_func
self.dact = d_activation_func
self.verbose = verbose
self.err = nn_error()
# Load parameters
super().__init__(filenames, **kwargs)
def init_params(self):
if self.verbose:
logger.info('Default initializing weights and biases')
# Initialize weights
sigma = 1
c = 0
rng = np.random.default_rng(100)
self.W = [rng.normal(c,sigma, (self.num_hidden, self.num_features))]
# self.W = [np.ones((self.num_hidden, self.num_features))]
self.b = [np.zeros((self.num_hidden, 1))]
for _ in range(self.num_hidden_layers - 1):
self.W.append(rng.normal(c, sigma, (self.num_hidden, self.num_hidden)))
# self.W.append(np.ones((self.num_hidden, self.num_hidden)))
self.b.append(np.zeros((self.num_hidden, 1)))
self.W.append(rng.normal(c,sigma,(self.num_classes, self.num_hidden)))
# self.W.append(np.ones((self.num_classes, self.num_hidden)))
self.b.append(np.zeros((self.num_classes, 1)))
def load_params(self, header:str, **kwargs):
"""
Load parameters with np.loadtxt()
Args:
header (str): File location where the dataset of weights can be loaded.
**kwargs: Keyword arguments to be passed to np.loadtxt()
Raises:
e: Assertion errors for mismatched shape
"""
W_filenames = [f'{header}W{i}.txt.gz' for i in range(self.num_hidden_layers)]
b_filenames = [f'{header}b{i}.txt.gz' for i in range(self.num_hidden_layers + 1)]
if self.verbose:
logger.info(f'Loading dataset from {header}')
try:
self.W = [np.loadtxt(W_filenames[i], ndmin=2, **kwargs) for i in range(self.num_hidden_layers + 1)]
self.b = [np.loadtxt(b_filenames[i], ndmin=2, **kwargs) for i in range(self.num_hidden_layers + 1)]
except:
logger.warning('Failed to load dataset, performing default initialization.')
self.init_params()
pass
# Confirm parameters are of the right shape
try:
assert(self.W[0].shape == (self.num_hidden, self.num_features))
assert(self.W[-1].shape == (self.num_classes, self.num_hidden))
assert(self.b[0].shape == (self.num_hidden, 1))
assert(self.b[-1].shape == (self.num_classes, 1))
for i in range(1, self.num_hidden_layers):
assert(self.W[i].shape == (self.num_hidden, self.num_hidden))
assert(self.b[i].shape == (self.num_hidden, 1))
except Exception as e:
logger.error('Failed to load files, mismatched shape')
raise e
def save(self, header:str, **kwargs):
"""
Saves parameters to filenames using np.savetxt()
Args:
header (str): Header to the file location where the dataset of weights can be saved. ex: header='test_' -> 'test_W1.txt.gz' for the file that contains W1.
**kwargs: Keyword arguments to be passed to np.savetxt()
"""
W_filenames = [f'{header}W{i}.txt.gz' for i in range(self.num_hidden_layers)]
b_filenames = [f'{header}b{i}.txt.gz' for i in range(self.num_hidden_layers)]
if self.verbose:
logger.info(f'Saving parameters to {header}')
for i in range(self.num_hidden_layers + 1):
np.savetxt(W_filenames[i], self.W[i], **kwargs)
np.savetxt(b_filenames[i], self.b[i], **kwargs)
def fit(self, train_data, train_labels, batch_size, num_epochs = 30, learning_rate = 5., reg = 0, dev_data = None, dev_labels = None, var_lr = False, print_epochs = False):
"""
Fits neural network based on training data and training labels using batch gradient descent (Can convert to GD if batch size = number of examples)
Aliases:
nt: Number of training examples
nd: Number of dev examples
d: num_features
c: num_classes
Args:
train_data (nt x d array)
train_labels (nt x c array)
batch_size (int)
num_epochs (int, optional): Number of epochs for training. Defaults to 30.
learning_rate (float, optional): Batch GD learning rate. Defaults to 5.
regularized (float, optional): Regularization constant for the weights. Defaults to 0.
dev_data (nd x d array, optional): Development data, for use in comparing incremental increases. Defaults to None.
dev_labels (nd x c array, optional): Developmental labels, for use in comparing incremental increases. Defaults to None.
var_lr (bool): Whether or not the learning rate is decreasing
Returns:
cost_train (epochs x 1 np array): Cost history for training data
accuracy_train (epochs x (c+1) np array): Accuracy history for training data
cost_dev (epochs x 1 np array): Cost history for dev data (if provided)
accuracy_dev (epochs x (c+1) np array): Accuracy history of dev data (if provided)
"""
self.reg = reg
logger.info(f'Fitting neural network with {self.num_features} features to {self.num_classes} classes with {self.reg} regularization {learning_rate} learning rate and {self.num_hidden}x{self.num_hidden_layers} hidden nodes')
# Check for proper dimensions
self.is_valid(train_data, train_labels)
has_dev = dev_data is not None and dev_labels is not None
if has_dev:
self.is_valid(dev_data, dev_labels)
cost_dev = []
accuracy_dev = []
cost_train = []
accuracy_train = []
begin = time()
try:
if self.verbose:
logger.info('Start training')
for epoch in range(num_epochs):
# Shuffle training data
perm = np.random.shuffle(np.arange(train_data.shape[0]))
train_data = train_data[perm, :].squeeze()
train_labels = train_labels[perm, :].squeeze()
if print_epochs:
logger.info(f'Epoch {epoch + 1} of {num_epochs}')
if var_lr:
learning_rate /= np.log(np.log(0.1 * epoch + 1) + 1) + 1
# Perform gradient descent
self.gradient_descent_epoch(train_data, train_labels, learning_rate, batch_size)
# Gather current epoch information
_, output, cost = self.forward_prop(train_data, train_labels)
cost_train.append(cost)
accuracy_train.append(self.accuracy(output, train_labels))
# Gather dev dataset epoch information
if has_dev:
_, output, cost = self.forward_prop(dev_data, dev_labels)
cost_dev.append(cost)
accuracy_dev.append(self.accuracy(output, dev_labels))
# Check for termination conditions after several iterations
if epoch > 20:
if sum(np.abs(np.array(accuracy_dev)[-19:,-1] - np.array(accuracy_dev)[-20:-1,-1])) > 1.5:
# Error is fluctuating too much
self.err.set_code(1)
break
if np.abs(cost_dev[-1] - cost_dev[-2]) < 1e-4 and np.abs(cost_train[-1] - cost_train[-2]) < 1e-4:
# Loss stabilized
self.err.set_code(2, train_cost = cost_train[-1], train_acc = accuracy_train[-1][-1],dev_cost = cost_dev[-1], dev_acc = accuracy_dev[-1][-1])
break
except KeyboardInterrupt:
logger.info('Keyboard interrupted, stopping training process.')
self.err.set_code(100, iter = epoch + 1)
pass
except Exception as e:
raise e
end = time()
if self.verbose:
logger.info(f'Training took {(end - begin)/60:.2f} minutes, average {(end - begin) / (epoch + 1):.6f} sec / epoch over {epoch + 1} epochs')
if has_dev:
return np.array(cost_train), np.array(accuracy_train), np.array(cost_dev), np.array(accuracy_dev)
else:
return np.array(cost_train), np.array(accuracy_train)
def accuracy(self, output, labels):
assert(output.shape == labels.shape)
acc = []
for i in range(self.num_classes):
acc.append(sum(np.logical_and(np.argmax(output, axis=1) == i, np.argmax(labels, axis=1) == i)) * 1. / sum(labels[:,i]))
acc.append(sum(np.argmax(output, axis=1) == np.argmax(labels, axis=1)) * 1. / labels.shape[0])
return acc
def gradient_descent_epoch(self, data, labels, learning_rate, batch_size):
self.is_valid(data, labels)
n = data.shape[0]
num_iters = int(np.floor(n / batch_size))
if num_iters == 0:
# Batch size larger than input size
num_iters = 1
batch_size = n
for i in range(num_iters):
self.backward_prop(data[batch_size*i:batch_size*(i+1), :], labels[batch_size*i:batch_size*(i+1),:], learning_rate)
def is_valid(self, data = None, labels = None):
"""
Checks data and labels are valid
Args:
data (_type_, optional): _description_. Defaults to None.
labels (_type_, optional): _description_. Defaults to None.
"""
if data is not None:
nd, dim = data.shape
assert dim == self.num_features, 'Data features does not match declared number of features'
if labels is not None:
nl, o = labels.shape
assert o == self.num_classes, 'Label classes does not match declared number of classes'
if data is not None and labels is not None:
assert nd == nl, 'Number of data points does not match number of label points'
def forward_prop(self, data, labels=None):
"""
Calculates forward propagation layers and loss given data and labels
Args:
data (2d array)
labels (2d array, optional)
Returns:
hidden (2d array): Hidden layer activations for each case
output (2d array): Output of the neural network (after softmax)
loss (float): Average loss for the predicted output (if labels are given, else returns -1)
"""
self.is_valid(data=data)
hidden = []
for i, func in enumerate(self.act):
if i == 0:
# First step, use data
hidden.append(func((self.W[0] @ data.T + self.b[0]).T))
else:
hidden.append(func((self.W[i] @ hidden[i-1].T + self.b[i]).T))
output = util.softmax((self.W[-1] @ hidden[-1].T + self.b[-1]).T)
if labels is not None:
loss = self.loss(labels, output)
else:
loss = -1
return hidden, output, loss
def loss(self, labels, output):
"""
Calculates loss given labels and model output
Args:
labels (_type_): _description_
output (_type_): _description_
Returns:
_type_: _description_
"""
return -np.sum(labels * np.log(output + 1e-20)) / labels.shape[0]
def backward_prop(self, data, labels, learning_rate):
"""
Performs backward propagation given data and labels
Args:
data (2d array)
labels (2d array)
"""
# Forward prop values
hidden, output, _ = self.forward_prop(data, labels)
n = data.shape[0]
dCEdzi = labels - output
for i in np.arange(self.num_hidden_layers, -1, -1):
self.b[i] -= learning_rate * (np.average(dCEdzi, axis=0)).reshape(self.b[i].shape)
if i == 0:
self.W[i] -= learning_rate * (-dCEdzi.T @ data / n + 2 * self.reg * self.W[i])
else:
self.W[i] -= learning_rate * (-dCEdzi.T @ hidden[i - 1] / n + 2 * self.reg * self.W[i])
dCEdzi = (dCEdzi @ self.W[i]) * self.dact[i - 1](hidden[i - 1])
def predict(self, data):
return self.forward_prop(data)[1]
def predict_one_hot(self, data):
"""
Computes prediction based on weights (Array of one-hot vectors)
"""
output = self.predict(data)
pred = np.zeros_like(output)
for i in range(output.shape[0]):
pred[i, np.argmax(output[i,:])] = 1
return pred
# To preserve previous API
class two_layer_neural_network(n_layer_neural_network):
"""
Two layered fully connected neural network with Batch Gradient Descent optimizer
Architecture:
Features (Input) -> Sigmoid (Hidden)-> Softmax (Output)
All data must be shaped as (num_examples, num_features)
All labels must be shaped as (num_examples, num_classes)
"""
def __init__(self, num_features:int, num_hidden:int, num_classes:int, reg=0, filenames = None, verbose = False, **kwargs):
"""
Initializes neural network
Args:
num_features (int): Number of features to consider
num_hidden (int): Number of hidden layers
num_classes (int): Number of classes to identify between
regularized (float, optional): Regularization constant for the weights. Defaults to 0.
filenames (list of str, optional): File location where the dataset of weights can be loaded. Order: [W1, W2, b1, b2]. Defaults to None (no pre-loaded parameters).
verbose (bool, optional): Toggles verbose printouts.
"""
# Load parameters
super().__init__(num_features, num_hidden, 1, num_classes, [util.sigmoid], [util.dsigmoid], reg, filenames, verbose, **kwargs)
class nn_error:
def __init__(self) -> None:
self.code = 0
def set_code(self, code:int, **kwargs) -> None:
self.code = code
self.kwargs = kwargs
pass
def __repr__(self) -> str:
if self.code == 0:
return 'No errors found'
if self.code == 1:
return 'ERROR: Accuracy is fluctuating too much, try reducing learning rate for more stability.'
if self.code == 2:
return f'Stabilized with train cost {self.kwargs["train_cost"]} and dev cost {self.kwargs["dev_cost"]}\n\ttrain accuracy {self.kwargs["train_acc"]} and dev accuracy {self.kwargs["dev_acc"]}'
if self.code == 100:
return f'ERROR: Keyboard interrupted at iteration {self.kwargs["iter"]}. Model may not have converged yet.'
# Testing function
def main():
# # Gather data
# matrix, levels, _ = util.load_dataset(pooled=True, vectorizer=False)
# # Load regular model H10B100L0.05R0.005
# n, n_features = matrix.shape
# _, n_levels = levels.shape
# nn = two_layer_neural_network(n_features, n_hidden, n_levels, 0.005, verbose=True)
# nn.load_params('./neural_network_files/Regular_H10B100L0_05R0_005/')
# print('Prediction for entry 0: ',nn.predict_one_hot(matrix[0:1, :]))
# print('Prediction for entry 1000:', nn.predict_one_hot(matrix[1000:1001, :]))
# # Load BERT model H300B100L0.6R0
# matrix = np.loadtxt('./neural_network_files/matrix.txt.gz')
# n, n_features = matrix.shape
# _, n_levels = levels.shape
# nn = two_layer_neural_network(n_features, n_hidden, n_levels, 0.005, verbose=True)
# nn.load_params('./neural_network_files/Vectorized_H300B100L0_6R0/')
# print('Prediction for entry 0: ',nn.predict_one_hot(matrix[0:1, :]))
# print('Prediction for entry 1000:', nn.predict_one_hot(matrix[1000:1001, :]))
# Gather data
matrix = np.loadtxt('./neural_network_files/matrix.txt.gz')
levels = np.loadtxt('./neural_network_files/levels.txt.gz')
n, n_features = matrix.shape
_, n_levels = levels.shape
c = 0.6
train_data, train_levels, dev_data, dev_levels, test_data, test_levels = util.train_test_split(matrix, levels, c, subsample=False)
num_class = [sum(levels[:,i]) for i in range(n_levels)]
num_class_train = np.sum(train_levels, axis=0)
num_class_dev = np.sum(dev_levels, axis=0)
num_class_test = np.sum(test_levels, axis=0)
for i in range(n_levels):
print(f'Number of class {i}: train: {num_class_train[i]} \tdev: {num_class_dev[i]} \ttest: {num_class_test[i]} \ttotal: {num_class[i]}')
# Train nn
# nn = two_layer_neural_network(n_features, n_hidden, n_levels,reg=reg, verbose=True)
nn = n_layer_neural_network(n_features, n_hidden, layers, n_levels, [util.sigmoid] * layers, [util.dsigmoid] * layers, verbose=True)
if load:
nn.load_params(header)
cost_train, accuracy_train, cost_dev, accuracy_dev = nn.fit(train_data, train_levels, batch_size=batch_size, num_epochs=epochs, dev_data=dev_data, dev_labels=dev_levels,learning_rate=lr, reg=reg, var_lr = var_lr, print_epochs=True)
print(nn.err)
print(f'Final training cost: {cost_train[-1]}, dev cost: {cost_dev[-1]}')
print(f'Final training accuracy: {accuracy_train[-1,-1]}, dev accuracy: {accuracy_dev[-1,-1]}')
print('Test accuracies: ', nn.accuracy(nn.predict(test_data), test_levels))
pred = nn.predict_one_hot(matrix)
# Prediction matrix
levels_all = util.load_dataset(pooled=False)[1]
print((pred.T @ levels_all).astype(int))
print((pred.T @ levels).astype(int))
print(np.linalg.det(pred.T @ levels))
if save:
nn.save(header)
if plot:
fig, (ax1, ax2) = plt.subplots(2, 1)
ax1.plot(np.arange(len(cost_train)), cost_train,'r', label='train')
ax1.plot(np.arange(len(cost_dev)), cost_dev, 'b', label='dev')
ax1.set_xlabel('epochs')
ax1.set_ylabel('loss')
ax1.legend()
labels = list(np.arange(nn.num_classes))
labels.append('all')
train_labels = [f'train {labels[i]}' for i in range(len(labels))]
dev_labels = [f'dev {labels[i]}' for i in range(len(labels))]
ax2.plot(np.arange(len(accuracy_train)), accuracy_train[:,:-1],':', label=train_labels[:-1])
ax2.plot(np.arange(len(accuracy_dev)), accuracy_dev[:,:-1], '--', label=dev_labels[:-1])
ax2.plot(np.arange(len(accuracy_train)), accuracy_train[:,-1],'r', label=train_labels[-1], linewidth=2)
ax2.plot(np.arange(len(accuracy_dev)), accuracy_dev[:,-1],'b', label=dev_labels[-1],linewidth=2)
ax2.set_xlabel('epochs')
ax2.set_ylabel('accuracy')
ax2.legend()
fig.savefig(figure_filename)
if __name__ == '__main__':
main()