more coooopyrighting

This commit is contained in:
James Hensman 2014-11-21 11:55:53 +00:00
parent f0d120ab7f
commit 504aaef6c8
6 changed files with 9 additions and 362 deletions

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'''
Created on 24 Apr 2013
# Copyright (c) 2012-2014, Max Zwiessele
# Licensed under the BSD 3-clause license (see LICENSE.txt)
@author: maxz
'''
from gradient_descent_update_rules import FletcherReeves, \
PolakRibiere
from Queue import Empty

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'''
Created on 24 Apr 2013
# Copyright (c) 2012-2014, Max Zwiessele
# Licensed under the BSD 3-clause license (see LICENSE.txt)
@author: maxz
'''
import numpy
class GDUpdateRule():

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# Copyright (c) 2012, GPy authors (see AUTHORS.txt).
# Copyright (c) 2012-2014, GPy authors (see AUTHORS.txt).
# Licensed under the BSD 3-clause license (see LICENSE.txt)
import datetime as dt

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# Copyright I. Nabney, N.Lawrence and James Hensman (1996 - 2012)
# Copyright I. Nabney, N.Lawrence and James Hensman (1996 - 2014)
# Scaled Conjuagte Gradients, originally in Matlab as part of the Netlab toolbox by I. Nabney, converted to python N. Lawrence and given a pythonic interface by James Hensman

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import numpy as np
import scipy as sp
import scipy.sparse
from optimization import Optimizer
from scipy import linalg, optimize
import copy, sys, pickle
class opt_SGD(Optimizer):
"""
Optimize using stochastic gradient descent.
:param Model: reference to the Model object
:param iterations: number of iterations
:param learning_rate: learning rate
:param momentum: momentum
"""
def __init__(self, start, iterations = 10, learning_rate = 1e-4, momentum = 0.9, model = None, messages = False, batch_size = 1, self_paced = False, center = True, iteration_file = None, learning_rate_adaptation=None, actual_iter=None, schedule=None, **kwargs):
self.opt_name = "Stochastic Gradient Descent"
self.Model = model
self.iterations = iterations
self.momentum = momentum
self.learning_rate = learning_rate
self.x_opt = None
self.f_opt = None
self.messages = messages
self.batch_size = batch_size
self.self_paced = self_paced
self.center = center
self.param_traces = [('noise',[])]
self.iteration_file = iteration_file
self.learning_rate_adaptation = learning_rate_adaptation
self.actual_iter = actual_iter
if self.learning_rate_adaptation != None:
if self.learning_rate_adaptation == 'annealing':
self.learning_rate_0 = self.learning_rate
else:
self.learning_rate_0 = self.learning_rate.mean()
self.schedule = schedule
# if len([p for p in self.model.kern.parts if p.name == 'bias']) == 1:
# self.param_traces.append(('bias',[]))
# if len([p for p in self.model.kern.parts if p.name == 'linear']) == 1:
# self.param_traces.append(('linear',[]))
# if len([p for p in self.model.kern.parts if p.name == 'rbf']) == 1:
# self.param_traces.append(('rbf_var',[]))
self.param_traces = dict(self.param_traces)
self.fopt_trace = []
num_params = len(self.Model._get_params())
if isinstance(self.learning_rate, float):
self.learning_rate = np.ones((num_params,)) * self.learning_rate
assert (len(self.learning_rate) == num_params), "there must be one learning rate per parameter"
def __str__(self):
status = "\nOptimizer: \t\t\t %s\n" % self.opt_name
status += "f(x_opt): \t\t\t %.4f\n" % self.f_opt
status += "Number of iterations: \t\t %d\n" % self.iterations
status += "Learning rate: \t\t\t max %.3f, min %.3f\n" % (self.learning_rate.max(), self.learning_rate.min())
status += "Momentum: \t\t\t %.3f\n" % self.momentum
status += "Batch size: \t\t\t %d\n" % self.batch_size
status += "Time elapsed: \t\t\t %s\n" % self.time
return status
def plot_traces(self):
"""
See GPy.plotting.matplot_dep.inference_plots
"""
assert "matplotlib" in sys.modules, "matplotlib package has not been imported."
from ..plotting.matplot_dep import inference_plots
inference_plots.plot_sgd_traces(self)
def non_null_samples(self, data):
return (np.isnan(data).sum(axis=1) == 0)
def check_for_missing(self, data):
if sp.sparse.issparse(self.Model.likelihood.Y):
return True
else:
return np.isnan(data).sum() > 0
def subset_parameter_vector(self, x, samples, param_shapes):
subset = np.array([], dtype = int)
x = np.arange(0, len(x))
i = 0
for s in param_shapes:
N, input_dim = s
X = x[i:i+N*input_dim].reshape(N, input_dim)
X = X[samples]
subset = np.append(subset, X.flatten())
i += N*input_dim
subset = np.append(subset, x[i:])
return subset
def shift_constraints(self, j):
constrained_indices = copy.deepcopy(self.Model.constrained_indices)
for c, constraint in enumerate(constrained_indices):
mask = (np.ones_like(constrained_indices[c]) == 1)
for i in range(len(constrained_indices[c])):
pos = np.where(j == constrained_indices[c][i])[0]
if len(pos) == 1:
self.Model.constrained_indices[c][i] = pos
else:
mask[i] = False
self.Model.constrained_indices[c] = self.Model.constrained_indices[c][mask]
return constrained_indices
# back them up
# bounded_i = copy.deepcopy(self.Model.constrained_bounded_indices)
# bounded_l = copy.deepcopy(self.Model.constrained_bounded_lowers)
# bounded_u = copy.deepcopy(self.Model.constrained_bounded_uppers)
# for b in range(len(bounded_i)): # for each group of constraints
# for bc in range(len(bounded_i[b])):
# pos = np.where(j == bounded_i[b][bc])[0]
# if len(pos) == 1:
# pos2 = np.where(self.Model.constrained_bounded_indices[b] == bounded_i[b][bc])[0][0]
# self.Model.constrained_bounded_indices[b][pos2] = pos[0]
# else:
# if len(self.Model.constrained_bounded_indices[b]) == 1:
# # if it's the last index to be removed
# # the logic here is just a mess. If we remove the last one, then all the
# # b-indices change and we have to iterate through everything to find our
# # current index. Can't deal with this right now.
# raise NotImplementedError
# else: # just remove it from the indices
# mask = self.Model.constrained_bounded_indices[b] != bc
# self.Model.constrained_bounded_indices[b] = self.Model.constrained_bounded_indices[b][mask]
# # here we shif the positive constraints. We cycle through each positive
# # constraint
# positive = self.Model.constrained_positive_indices.copy()
# mask = (np.ones_like(positive) == 1)
# for p in range(len(positive)):
# # we now check whether the constrained index appears in the j vector
# # (the vector of the "active" indices)
# pos = np.where(j == self.Model.constrained_positive_indices[p])[0]
# if len(pos) == 1:
# self.Model.constrained_positive_indices[p] = pos
# else:
# mask[p] = False
# self.Model.constrained_positive_indices = self.Model.constrained_positive_indices[mask]
# return (bounded_i, bounded_l, bounded_u), positive
def restore_constraints(self, c):#b, p):
# self.Model.constrained_bounded_indices = b[0]
# self.Model.constrained_bounded_lowers = b[1]
# self.Model.constrained_bounded_uppers = b[2]
# self.Model.constrained_positive_indices = p
self.Model.constrained_indices = c
def get_param_shapes(self, N = None, input_dim = None):
model_name = self.Model.__class__.__name__
if model_name == 'GPLVM':
return [(N, input_dim)]
if model_name == 'Bayesian_GPLVM':
return [(N, input_dim), (N, input_dim)]
else:
raise NotImplementedError
def step_with_missing_data(self, f_fp, X, step, shapes):
N, input_dim = X.shape
if not sp.sparse.issparse(self.Model.likelihood.Y):
Y = self.Model.likelihood.Y
samples = self.non_null_samples(self.Model.likelihood.Y)
self.Model.N = samples.sum()
Y = Y[samples]
else:
samples = self.Model.likelihood.Y.nonzero()[0]
self.Model.N = len(samples)
Y = np.asarray(self.Model.likelihood.Y[samples].todense(), dtype = np.float64)
if self.Model.N == 0 or Y.std() == 0.0:
return 0, step, self.Model.N
self.Model.likelihood._offset = Y.mean()
self.Model.likelihood._scale = Y.std()
self.Model.likelihood.set_data(Y)
# self.Model.likelihood.V = self.Model.likelihood.Y*self.Model.likelihood.precision
sigma = self.Model.likelihood._variance
self.Model.likelihood._variance = None # invalidate cache
self.Model.likelihood._set_params(sigma)
j = self.subset_parameter_vector(self.x_opt, samples, shapes)
self.Model.X = X[samples]
model_name = self.Model.__class__.__name__
if model_name == 'Bayesian_GPLVM':
self.Model.likelihood.YYT = np.dot(self.Model.likelihood.Y, self.Model.likelihood.Y.T)
self.Model.likelihood.trYYT = np.trace(self.Model.likelihood.YYT)
ci = self.shift_constraints(j)
f, fp = f_fp(self.x_opt[j])
step[j] = self.momentum * step[j] + self.learning_rate[j] * fp
self.x_opt[j] -= step[j]
self.restore_constraints(ci)
self.Model.grads[j] = fp
# restore likelihood _offset and _scale, otherwise when we call set_data(y) on
# the next feature, it will get normalized with the mean and std of this one.
self.Model.likelihood._offset = 0
self.Model.likelihood._scale = 1
return f, step, self.Model.N
def adapt_learning_rate(self, t, D):
if self.learning_rate_adaptation == 'adagrad':
if t > 0:
g_k = self.Model.grads
self.s_k += np.square(g_k)
t0 = 100.0
self.learning_rate = 0.1/(t0 + np.sqrt(self.s_k))
import pdb; pdb.set_trace()
else:
self.learning_rate = np.zeros_like(self.learning_rate)
self.s_k = np.zeros_like(self.x_opt)
elif self.learning_rate_adaptation == 'annealing':
#self.learning_rate = self.learning_rate_0/(1+float(t+1)/10)
self.learning_rate = np.ones_like(self.learning_rate) * self.schedule[t]
elif self.learning_rate_adaptation == 'semi_pesky':
if self.Model.__class__.__name__ == 'Bayesian_GPLVM':
g_t = self.Model.grads
if t == 0:
self.hbar_t = 0.0
self.tau_t = 100.0
self.gbar_t = 0.0
self.gbar_t = (1-1/self.tau_t)*self.gbar_t + 1/self.tau_t * g_t
self.hbar_t = (1-1/self.tau_t)*self.hbar_t + 1/self.tau_t * np.dot(g_t.T, g_t)
self.learning_rate = np.ones_like(self.learning_rate)*(np.dot(self.gbar_t.T, self.gbar_t) / self.hbar_t)
tau_t = self.tau_t*(1-self.learning_rate) + 1
def opt(self, f_fp=None, f=None, fp=None):
self.x_opt = self.Model._get_params_transformed()
self.grads = []
X, Y = self.Model.X.copy(), self.Model.likelihood.Y.copy()
self.Model.likelihood.YYT = 0
self.Model.likelihood.trYYT = 0
self.Model.likelihood._offset = 0.0
self.Model.likelihood._scale = 1.0
N, input_dim = self.Model.X.shape
D = self.Model.likelihood.Y.shape[1]
num_params = self.Model._get_params()
self.trace = []
missing_data = self.check_for_missing(self.Model.likelihood.Y)
step = np.zeros_like(num_params)
for it in range(self.iterations):
if self.actual_iter != None:
it = self.actual_iter
self.Model.grads = np.zeros_like(self.x_opt) # TODO this is ugly
if it == 0 or self.self_paced is False:
features = np.random.permutation(Y.shape[1])
else:
features = np.argsort(NLL)
b = len(features)/self.batch_size
features = [features[i::b] for i in range(b)]
NLL = []
for count, j in enumerate(features):
self.Model.input_dim = len(j)
self.Model.likelihood.input_dim = len(j)
self.Model.likelihood.set_data(Y[:, j])
# self.Model.likelihood.V = self.Model.likelihood.Y*self.Model.likelihood.precision
sigma = self.Model.likelihood._variance
self.Model.likelihood._variance = None # invalidate cache
self.Model.likelihood._set_params(sigma)
if missing_data:
shapes = self.get_param_shapes(N, input_dim)
f, step, Nj = self.step_with_missing_data(f_fp, X, step, shapes)
else:
self.Model.likelihood.YYT = np.dot(self.Model.likelihood.Y, self.Model.likelihood.Y.T)
self.Model.likelihood.trYYT = np.trace(self.Model.likelihood.YYT)
Nj = N
f, fp = f_fp(self.x_opt)
self.Model.grads = fp.copy()
step = self.momentum * step + self.learning_rate * fp
self.x_opt -= step
if self.messages == 2:
noise = self.Model.likelihood._variance
status = "evaluating {feature: 5d}/{tot: 5d} \t f: {f: 2.3f} \t non-missing: {nm: 4d}\t noise: {noise: 2.4f}\r".format(feature = count, tot = len(features), f = f, nm = Nj, noise = noise)
sys.stdout.write(status)
sys.stdout.flush()
self.param_traces['noise'].append(noise)
self.adapt_learning_rate(it+count, D)
NLL.append(f)
self.fopt_trace.append(NLL[-1])
# for k in self.param_traces.keys():
# self.param_traces[k].append(self.Model.get(k)[0])
self.grads.append(self.Model.grads.tolist())
# should really be a sum(), but earlier samples in the iteration will have a very crappy ll
self.f_opt = np.mean(NLL)
self.Model.N = N
self.Model.X = X
self.Model.input_dim = D
self.Model.likelihood.N = N
self.Model.likelihood.input_dim = D
self.Model.likelihood.Y = Y
sigma = self.Model.likelihood._variance
self.Model.likelihood._variance = None # invalidate cache
self.Model.likelihood._set_params(sigma)
self.trace.append(self.f_opt)
if self.iteration_file is not None:
f = open(self.iteration_file + "iteration%d.pickle" % it, 'w')
data = [self.x_opt, self.fopt_trace, self.param_traces]
pickle.dump(data, f)
f.close()
if self.messages != 0:
sys.stdout.write('\r' + ' '*len(status)*2 + ' \r')
status = "SGD Iteration: {0: 3d}/{1: 3d} f: {2: 2.3f} max eta: {3: 1.5f}\n".format(it+1, self.iterations, self.f_opt, self.learning_rate.max())
sys.stdout.write(status)
sys.stdout.flush()

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'''
Created on 9 Oct 2014
@author: maxz
'''
# Copyright (c) 2012-2014, Max Zwiessele
# Licensed under the BSD 3-clause license (see LICENSE.txt)
class StochasticStorage(object):
'''
@ -56,4 +53,4 @@ class SparseGPStochastics(StochasticStorage):
def reset(self):
self.current_dim = -1
self.d = None
self.d = None