def reg_logistic_regression(y, tx, lambda_, gamma, max_iters):
""" L2 reg logistic basic version """
tx, _, _ = standardize(tx)
model = LogisticRegression((tx, y),
regularizer="Ridge",
regularizer_p=lambda_)
return model.train(lr=gamma, decay=1, max_iters=max_iters)
def least_squares(y, tx):
"""calculate the least squares solution."""
tx, _, _ = standardize(tx)
A = np.dot(tx.T, tx)
b = np.dot(tx.T, y)
# Compute solution
w_opt = np.linalg.solve(A, b)
# Compute loss
e = y - (tx).dot(w_opt)
N = len(e)
MSE_opt = 1 / (2 * N) * np.dot(e.T, e)
return w_opt, MSE_opt
def lasso_logistic_regression(y, tx, lambda_, gamma, max_iters):
"""
L1 reg logistic logistic basic version
:param y: given y
:param tx: data matrix
:param lambda_: given parameter for lasso logistic regression
:param gamma: initial learning rate
:param max_iters: maximum iterations
:return:
"""
tx, _, _ = standardize(tx)
model = LogisticRegression((tx, y),
regularizer="Lasso",
regularizer_p=lambda_)
return model.train(lr=gamma, decay=1, max_iters=max_iters)
def ridge_regression(y, tx, lamb):
"""implement ridge regression."""
tx, _, _ = standardize(tx)
D = tx.shape[1] # number of features
N = len(y) # Number of measurements
A = np.dot(tx.T, tx) + 2 * N * lamb * np.eye(D)
b = np.dot(tx.T, y)
# Obtain optimal solution
w_opt = np.linalg.solve(A, b)
# Compute the loss
e = y - np.dot(tx, w_opt)
MSE = 1 / (2 * N) * np.dot(e.T, e)
RMSE = np.sqrt(2 * MSE)
return w_opt, RMSE
def least_squares_SGD(y, tx, gamma, max_iters):
"""Gradient descent algorithm."""
# Initialisation
tx, _, _ = standardize(tx)
D = tx.shape[1] # number of features
initial_w = np.zeros((D, ))
batch_size = 1
# Start SGD.
start_time = datetime.datetime.now()
gradient_losses, ws = stochastic_gradient_descent(y, tx, initial_w,
batch_size, gamma,
max_iters)
end_time = datetime.datetime.now()
# Print result
exection_time = (end_time - start_time).total_seconds()
print("SGD: execution time={t:.3f} seconds".format(t=exection_time))
# The last element is the optimum one
return ws[-1]
def logistic_regression(y, tx, gamma, max_iters):
""" Logistic regression basic version """
tx, _, _ = standardize(tx)
model = LogisticRegression((tx, y))
return model.train(lr=gamma, decay=1, max_iters=max_iters)
consecutive_small_count += 1
elif diff < 0:
increasing_count += 1
if consecutive_small_count > stop_threshold:
break
elif increasing_count > stop_threshold:
raise OverflowError
return log_func
pts = (((0.1, 0.8, 0.2), 0), ((0.4, 0.92, 0.35), 0), ((0.3, 0.89, 0.22), 0),
((0.2, 0.81, 0.27), 0), ((0.75, 0.4, 0.4), 1), ((0.7, 0.79, 0.4), 1),
((0.9, 0.52, 0.73), 1), ((0.6, 0.01, 0.99), 1))
stdpts_with_stats = standardize(pts)
stdpts = stdpts_with_stats["points"]
stats = stdpts_with_stats["stats"]
print("Standardized points: {} // stats {}".format(stdpts, stats))
params = (0.1, 0.1, 0.1, 0.1)
log_func = logistic_function(params)
print("Cost 1: {}".format(non_regularized_cost(log_func, stdpts)))
final_func = regularized_logistic_regression_bounded(log_func, 0.1, 0.000001,
10, stdpts, 0.01)
print(list(final_func["params"]))
print("Output values: {}".format([((x, y), final_func["func"](x))
for x, y in stdpts]))
func = nn_func(tensor, activations, std_vals)
grad = nn_deriv(func, tensor, activations, std_vals, deriv_gap)
return {
"func": func,
"coeffs": tensor,
"fns": activations,
"derivs": grad,
"std_vals": std_vals
}
pts = (((0.1, 0.8, 0.2), 0), ((0.4, 0.92, 0.35), 0), ((0.3, 0.89, 0.22), 0),
((0.2, 0.81, 0.27), 0), ((0.75, 0.4, 0.4), 1), ((0.7, 0.79, 0.4), 1),
((0.9, 0.52, 0.73), 1), ((0.6, 0.01, 0.99), 1))
std_dict = data_utils.standardize(pts)
x = (0.5, 0.2, 0.1)
#std = std_dict["stats"]
std = {"avgs": (0, 0, 0), "stdevs": (1, 1, 1)}
layers = []
layers.append(data_utils.init_matrix(5, 4,
lambda n, m: random.randrange(0, 7)))
layers.append(data_utils.init_matrix(2, 6, lambda n, m: random.uniform(-1, 1)))
activations = (nn_function_defs.relu(), nn_function_defs.sigmoid())
network = nn(layers, activations, std)
