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v1infinitesadness.py
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v1infinitesadness.py
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#!/usr/bin/env python
from __future__ import division
import sys
import numpy as np
import random
import copy
from scipy.special import expit
def pick_from_odds(vector):
if np.nan in vector:
raise Exception("Invalid Odds")
if np.inf in vector:
return list(vector).index(np.inf)
probability = np.divide(vector,(1.+vector))
print "Probability vector debug"
print vector
print probability
print np.sum(probability)
temp = 0.
pick = random.random()
for i, element in enumerate(vector):
temp += element
if temp > pick:
return i
# print "RAN OFF THE END"
# raw_input()
return -1
def odds(vector,log=False, x = 0, alpha = 0, beta = 0, gamma = 0, ai = 0, oracle_vector=None, aux_state=False):
if oracle_vector == None:
oracle_vector = np.ones(vector.shape,dtype=float)
oracle_probabilities = np.divide(oracle_vector,(np.sum(oracle_vector)+gamma)) * (float(beta)/float(np.sum(vector)+beta))
# print "ODDS DEBUG"
# print vector
# print beta
# print oracle_probabilities
vector[ai] += alpha
if aux_state:
gamma_prob = (float(beta)/float(np.sum(vector) + x + alpha + beta)) * (float(float(gamma)/ float(np.sum(oracle_vector)+gamma)))
probabilities = (vector.astype(dtype=float)/float(np.sum(vector) +x + alpha + beta)) + oracle_probabilities
if aux_state:
probabilities = np.append(probabilities,np.array([gamma_prob]))
# print "TOTAL PROBABILITIES"
# print probabilities
# print "PROBABILITY SUM"
# print np.sum(probabilities)
odds = np.divide(probabilities,np.ones(probabilities.shape,dtype=float)-probabilities)
# print odds
if log == True:
log_odds = np.log(odds)
# print log_odds
#raw_input()
return log_odds
else:
return odds
class hiddenModel:
def __init__(self,observations, alpha=1,beta=1,gamma=10,betaE=1,gammaE=100):
self.observations = observations
self.observation_array = np.asarray(observations)
self.observation_set = set(self.observations)
self.observation_index_list = list(self.observation_set)
self.state_assignments = []
self.state_list = []
self.transition_dict = {}
self.transition_matrix = np.zeros((0,0))
self.emission_matrix = np.zeros((0,len(self.observation_set)))
self.alpha = alpha
self.beta = beta
self.gamma = gamma
self.betaE = betaE
self.gammaE = gammaE
self.state_oracle = infiniteStateOracle(self)
# def generative_process(self):
# self.add_state()
# self.state_assignments.append(self.state_list[0])
# for i, observation in enumerate(self.observations[1:]):
# self.state_assignments[i-1]
def update_hypers(self):
new_beta = np.sum(self.state_oracle.oracle_vector)
new_gamma = float(np.sum(self.state_oracle.oracle_vector))/float(len(self.state_list))
new_betaE = np.sum(self.state_oracle.emission_oracle_matrix)
new_gammaE = float(np.sum(self.state_oracle.emission_oracle_matrix))/float(self.state_oracle.emission_oracle_matrix.shape[1])
print "New Hypers"
print new_beta
print new_gamma
print new_betaE
print new_gammaE
raw_input()
self.beta = new_beta
self.gamma = new_gamma
self.betaE = new_betaE
self.gammaE = new_gammaE
self.state_oracle.beta = new_beta
self.state_oracle.gamma = new_gamma
self.state_oracle.gammaE = new_gammaE
self.state_oracle.betaE = new_betaE
for emission_oracle in self.state_oracle.emission_oracle_list:
emission_oracle.betaE = new_betaE
emission_oracle.gammaE = new_gammaE
def initialize_random(self,states=10):
for i in range(states):
self.add_state()
for observation in self.observations:
self.state_assignments.append(random.choice(self.state_list))
self.count_state_transitions()
self.state_oracle.count_oracle_vector()
for state in self.state_list:
state.count_emissions()
print self.transition_matrix
def add_state(self):
self.state_list.append(hiddenState(len(self.state_list),self))
for state1 in self.state_list:
for state2 in self.state_list:
if (state1,state2) not in self.transition_dict:
self.transition_dict[(state1,state2)] = []
self.transition_matrix = np.append(self.transition_matrix,np.zeros((1,self.transition_matrix.shape[1])),axis=0)
self.transition_matrix = np.append(self.transition_matrix,np.zeros((self.transition_matrix.shape[0],1)),axis=1)
self.emission_matrix = np.append(self.emission_matrix,np.zeros((1,self.emission_matrix.shape[1])),axis=0)
self.state_oracle.add_state()
def remove_state(self,state):
self.state_list.pop(state.index)
for i, item in enumerate(self.state_list):
item.index = i
self.transition_matrix = np.delete(self.transition_matrix, state.index, axis=0)
self.transition_matrix = np.delete(self.transition_matrix, state.index, axis=1)
self.emission_matrix = np.delete(self.emission_matrix, state.index, axis=0)
self.count_state_transitions()
self.state_oracle.remove_state(state.index)
def count_state_transitions(self):
#temp_transition_dict = np.zeros((len(self.state_list),len(self.state_list)))
self.transition_matrix = np.zeros(self.transition_matrix.shape)
for i, state in enumerate(self.state_assignments[:-1]):
#temp_transition_dict[state_list.index(state),state_list.index(self.state_assignments[i+1])] += 1
self.transition_matrix[self.state_assignments[i].index,self.state_assignments[i+1].index] += 1
print self.transition_matrix
#return temp_transition_dict
def sample(self,passed_i):
index = passed_i%len(self.observations)
if passed_i%len(self.observations) == len(self.observations)-1:
self.update_hypers()
# if random.random() < .1:
# self.state_oracle.reset()
# raw_input()
# index = random.randint(0,len(self.observations)-1)
print "Observation index"
print index
emission_index = self.observation_index_list.index(self.observations[index])
temp_transition_matrix = copy.deepcopy(self.transition_matrix)
temp_emission_matrix = copy.deepcopy(self.emission_matrix)
print "Actual observation at index"
print self.observations[index]
print self.state_assignments[index]
old_state = self.state_assignments[index]
print "St state index (in matricies)"
print old_state.index
# temp_transition_matrix[old_state.index,self.state_assignments[index+1].index] -= 1
# temp_transition_matrix[self.state_assignments[index-1].index,old_state.index] -= 1
temp_emission_matrix[self.state_assignments[index].index,self.observation_index_list.index(self.observations[index])] -= 1
# #
# print "s+1"
# print self.state_assignments[index+1].index
# print "s-1"
# print self.state_assignments[index-1].index
#
# print "New values block"
# print temp_transition_matrix[old_state.index]
# print temp_transition_matrix[:,old_state.index]
# print temp_emission_matrix[old_state.index]
# print temp_transition_matrix
# print "End new values block"
# if np.sum(temp_transition_matrix[old_state.index]) == 0:
# self.remove_state(old_state)
# print "Empty state removed"
# raw_input()
# if np.sum(temp_transition_matrix[:,old_state.index]) == 0:
# self.remove_state(old_state)
# print "Empty empty removed"
# raw_input()
print "Emission matrix, raw"
print temp_emission_matrix
print "transition_matrix_raw"
print temp_transition_matrix
# if np.sum(temp_transition_matrix[old_state.index]) == 0:
# print "Empty emission with extant transitions"
# print temp_transition_matrix[old_state.index]
# print temp_emission_matrix[old_state.index]
# raw_input()
if index > 0:
priors_s1_counts = temp_transition_matrix[self.state_assignments[index-1].index,:]
print "State index of St-1"
print self.state_assignments[index-1].index
else:
priors_s1_counts = np.ones(self.emission_matrix.shape[0])
if index < (len(self.observations)-1):
priors_s3_counts = temp_transition_matrix[:,self.state_assignments[index+1].index]
print "State index of St+1"
print self.state_assignments[index+1].index
else:
priors_s3_counts = np.ones(priors_s1_counts.shape)
# if np.sum(priors_s1_counts) == 0:
# print old_state.index
# raw_input()
# if np.sum(priors_s3_counts) == 0:
# print old_state.index
# raw_input()
#if np.sum(emission_priors_counts) == 0:
# raw_input()
# print old_state.index
alter_priors_s1 = odds(priors_s1_counts, log=True, beta = self.beta, gamma=self.gamma, oracle_vector = self.state_oracle.oracle_vector)
# priors_s3 = odds(priors_s3_counts, log=True, beta = self.beta, gamma=self.gamma, oracle_vector = self.state_oracle.oracle_vector)
lr_s1 = np.ones(temp_transition_matrix.shape[0]+1,dtype=float)
if index > 0:
s1_state_index = self.state_assignments[index-1].index
for i, state in enumerate(temp_transition_matrix):
emissions_of_state_given_previous = state[s1_state_index] + (float(self.beta) * (float(self.state_oracle.oracle_vector[i])/float(np.sum(self.state_oracle.oracle_vector)+self.gamma)))
total_emissios_of_previous_state = np.sum(temp_transition_matrix[s1_state_index]) + self.beta
total_emissions_of_state_given_NOT_previous = np.sum(temp_transition_matrix[:,i]) - temp_transition_matrix[s1_state_index,i] + (self.beta * (np.sum(self.state_oracle.oracle_vector)-self.state_oracle.oracle_vector[i]))
total_emissions_given_NOT_previous = np.sum(temp_transition_matrix) - np.sum(temp_transition_matrix[s1_state_index]) + (self.beta * np.sum(self.state_oracle.oracle_vector))
print "Debug sequence priors"
print emissions_of_state_given_previous
print total_emissios_of_previous_state
print total_emissions_of_state_given_NOT_previous
print total_emissions_given_NOT_previous
lr_s1[i] = (float(emissions_of_state_given_previous)/float(total_emissios_of_previous_state))/(float(total_emissions_of_state_given_NOT_previous)/float(total_emissions_given_NOT_previous))
print lr_s1[i]
s1_trans_to_gamma = (self.beta / (np.sum(temp_transition_matrix) + self.beta)) * (self.gamma/(np.sum(self.state_oracle.emission_oracle_matrix[s1_state_index])+self.gamma))
NOT_s1_trans_to_gamma = ((self.beta * (len(self.state_list)-1)) / (np.sum(temp_transition_matrix)-np.sum(temp_emission_matrix[s1_state_index])+(self.beta * len(self.state_list)))) * ((self.gamma*(len(self.state_list)-1))/ (np.sum(self.state_oracle.state_oracle_emissions)-self.state_oracle.state_oracle_emissions[s1_state_index]+ (self.gamma*(len(self.state_list)-1))))
print "DEBUG NEW STATE"
print s1_trans_to_gamma
print NOT_s1_trans_to_gamma
lr_s1[-1] = s1_trans_to_gamma/NOT_s1_trans_to_gamma
print lr_s1
print expit(lr_s1)
print sum(expit(lr_s1))
# if index < (len(self.observations)-1):
#
# s3_state_index = self.state_assignments[index+1].index
#
# lr_s3 = np.ones(temp_transition_matrix.shape[0]+1,dtype=float)
#
# for i, state in enumerate(temp_transition_matrix):
#
#
# emission_of_next_given_state = state[s3_state_index] + (float(self.beta) * (float(sum(self.state_oracle.emission_oracle_matrix[old_state.index,s3_state_index]))/float(np.sum(self.state_oracle.emission_oracle_matrix[s3_state_index]))))
#
# total_emissios_of_next_state = np.sum(temp_transition_matrix[:,s3_state_index]) + self.beta
#
# total_emissions_of_next_given_NOT_state = np.sum(temp_transition_matrix[:,s3_state_index]) - temp_transition_matrix[old_state.index,s3_state_index] + (self.beta * ((np.sum(self.state_oracle.emission_oracle_matrix[:,s3_state_index])-self.state_oracle.emission_oracle_matrix[old_state.index,s3_state_index]))/(np.sum(self.state_oracle.emission_oracle_matrix)-sum(self.state_oracle.emission_oracle_matrix[old_state.index,:])+self.gamma))
#
# total_emissions_given_NOT_state = np.sum(temp_transition_matrix) - np.sum(temp_transition_matrix[old_state.index,:]) + (self.beta * len(self.state_list))
#
# lr_s3[i] = (float(emissions_of_state_given_previous)/float(total_emissios_of_previous_state))/(float(total_emissions_of_state_given_NOT_previous)/float(total_emissions_given_NOT_previous))
#
# gamma_to_s3 = 1./
#
# s3_from_NOT_gamma = ((self.beta * (len(self.state_list)-1)) / (np.sum(temp_transition_matrix)-np.sum(temp_emission_matrix[s1_state_index])+(self.beta * len(self.state_list)))) * ((self.gamma*(len(self.state_list)-1))/ (np.sum(self.state_oracle.emission_oracle_matrix)-self.state_oracle.emission_oracle_matrix[s1_state_index]+ (self.gamma*(len(self.state_list)-1)))
#
# lr_s3[-1] = s1_trans_to_gamma/NOT_s1_trans_to_gamma
emission_lr = np.ones(temp_transition_matrix.shape[0],dtype=float)
for i, state_emissions in enumerate(self.emission_matrix):
expected_emission_observed_given_state = float(state_emissions[emission_index]) + float(self.betaE * float(self.state_oracle.emission_oracle_list[i].emission_oracle_vector[emission_index] / float(np.sum(self.state_oracle.emission_oracle_list[i].emission_oracle_vector))))
total_emissions_expected_given_state = float(np.sum(self.emission_matrix[i])+self.betaE)
expected_emission_given_NOT_state = np.sum(self.emission_matrix[:,emission_index]) - state_emissions[emission_index] + self.betaE*(float(sum(map(lambda x: x.emission_oracle_vector[emission_index],self.state_oracle.emission_oracle_list)) -self.state_oracle.emission_oracle_list[i].emission_oracle_vector[emission_index])/float(sum(map(lambda x: np.sum(x.emission_oracle_vector),self.state_oracle.emission_oracle_list))-np.sum(self.state_oracle.emission_oracle_list[i].emission_oracle_vector)+self.gammaE))
expected_total_emissions_given_NOT_state = sum(map(lambda x: np.sum(x.emission_oracle_vector),self.state_oracle.emission_oracle_list)) - np.sum(self.state_oracle.emission_oracle_list[i].emission_oracle_vector) + (float(self.betaE*(self.transition_matrix.shape[0]-1)))
emission_lr[i] = (float(expected_emission_observed_given_state)/float(total_emissions_expected_given_state))/(float(expected_emission_given_NOT_state)/float(expected_total_emissions_given_NOT_state))
print "Debug emission priors"
print expected_emission_observed_given_state
print total_emissions_expected_given_state
print expected_emission_given_NOT_state
print expected_total_emissions_given_NOT_state
print emission_lr[i]
e_prob_given_gamma = 1./len(self.observation_set)
e_prob_given_not_gamma_numerator = self.beta*(float(self.gamma*len(self.state_list))/float(sum(map(lambda x: np.sum(x.emission_oracle_vector),self.state_oracle.emission_oracle_list)) + self.gamma))
e_prob_given_not_gamma_denominator = sum(map(lambda x: np.sum(x.emission_oracle_vector),self.state_oracle.emission_oracle_list)) + (float(self.betaE*(self.transition_matrix.shape[0])))
gamma_lr = float(e_prob_given_gamma) / (float(e_prob_given_not_gamma_numerator)/float(e_prob_given_not_gamma_denominator))
emission_lr = np.append(emission_lr, np.array([gamma_lr]))
# emission_likelihood_ratio_matrix = np.zeros(priors_s1.shape)
# for i, state in enumerate(self.emission_matrix):
# # print "Emissions of observation from state"
# # print float(state[emission_index])
# # print "Total emissions from state, plus beta"
# # print float(np.sum(state)+self.beta)
# # print "Emissions of observation from other states"
# emission_likelihood_ratio_matrix[i] = (float(state[emission_index]+(float(self.betaE)*(float(self.state_oracle.oracle_vector[i])/float(np.sum(self.state_oracle.oracle_vector))))/float(np.sum(state)+self.betaE))/ \
# \
# (float(np.sum(self.emission_matrix[:,emission_index])-state[emission_index] + self.betaE * (float(self.state_oracle.oracle_vector[i])/float(np.sum(self.state_oracle.oracle_vector))))/ float(np.sum(self.emission_matrix)-np.sum(state)+(self.betaE*self.emission_matrix.shape[0]-1))))
print "GAMMA EXCLUSION"
# priors = odds(np.ones(temp_transition_matrix.shape[0]),beta = 1, gamma = 1, aux_state=True, log=True)
priors = np.zeros(emission_lr.shape)
log_r_s1 = np.log(lr_s1)
emission_log_odds = np.log(emission_lr)
print "Log odds likelihood of each state according to St-1, St+1, and the observed emission"
# print priors_s1
# print priors_s3
print priors
print log_r_s1
print emission_log_odds
print "###########################"
# log_odds_posteriors = (priors_s1 + priors_s3)/2. + emission_log_odds
log_odds_posteriors = priors + log_r_s1 + 2*emission_log_odds
posterior_odds = np.exp(log_odds_posteriors)
print "Posterior odds of each state"
print posterior_odds
new_pick = pick_from_odds(posterior_odds)
print "New state?"
print new_pick
print len(posterior_odds)
if new_pick != len(posterior_odds)-1:
new_state = self.state_list[new_pick]
if index > 0:
prob_normal_transition = float(temp_transition_matrix[self.state_assignments[index-1].index,new_state.index]) / float((np.sum(temp_transition_matrix[self.state_assignments[index-1].index,:]) + self.beta))
prob_beta_transition = (float(self.beta) / float((np.sum(temp_transition_matrix[self.state_assignments[index-1].index,:]) + self.beta))) * (float(self.state_oracle.oracle_vector[self.state_assignments[index-1].index])/float(np.sum(self.state_oracle.oracle_vector)+self.gamma))
print "Oracle Transition?"
print prob_normal_transition
print prob_beta_transition
if random.random() < prob_beta_transition/(prob_normal_transition+prob_beta_transition):
self.state_oracle.state_oracle_emissions[index-1] = 1
else:
self.state_oracle.state_oracle_emissions[index-1] = 0
# if index < (len(self.observations)-1):
# prob_normal_transition = float(temp_transition_matrix[new_state.index,self.state_assignments[index+1].index]) / float((np.sum(temp_transition_matrix[:,self.state_assignments[index+1].index]) + self.beta))
# prob_beta_transition = (float(self.beta) / float((np.sum(temp_transition_matrix[:,self.state_assignments[index+1].index]) + self.beta))) * (float(self.state_oracle.oracle_vector[self.state_assignments[index+1].index])/float(np.sum(self.state_oracle.oracle_vector)+self.gamma))
# if random.random() < prob_beta_transition/(prob_normal_transition+prob_beta_transition):
# self.state_oracle.state_oracle_emissions[index+1] = 1
# else:
# self.state_oracle.state_oracle_emissions[index-1] = 0
prob_normal_emission = float(temp_emission_matrix[new_state.index,emission_index]) / float(np.sum(temp_emission_matrix[new_state.index,:])+self.betaE)
prob_beta_emission = (float(self.betaE) / float(np.sum(temp_emission_matrix[new_state.index,:])+self.betaE)) * (self.state_oracle.emission_oracle_list[new_state.index].emission_oracle_vector[emission_index]) / float(np.sum(self.state_oracle.emission_oracle_list[new_state.index].emission_oracle_vector)+self.gammaE)
print "Oracle Emission?"
print prob_normal_emission
print prob_beta_emission
if random.random() < prob_normal_emission / (prob_normal_emission + prob_beta_emission):
self.state_oracle.emission_oracle_emissions[index] = 1
else:
self.state_oracle.emission_oracle_emissions[index] = 0
print "Transition oracle"
print self.state_oracle.oracle_vector
print self.state_oracle.emission_oracle_matrix
else:
print "Add"
self.add_state()
new_state = self.state_list[-1]
print "New state chosen"
print new_state.index
print "New state emission frequencies"
print self.emission_matrix[new_state.index]
self.state_assignments[index] = new_state
# if passed_i%len(self.observations) == 0:
self.count_state_transitions()
self.state_oracle.count_oracle_vector()
for state in self.state_list:
state.count_emissions()
if np.sum(self.emission_matrix[state.index]) < 1:
self.remove_state(state)
print "Delete"
#raw_input()
# temp_transition_matrix[new_state.index,self.state_assignments[index+1].index] += 1
# temp_transition_matrix[self.state_assignments[index-1].index,new_state.index] += 1
# temp_emission_matrix[new_state.index,self.observation_index_list.index(self.observations[index])] += 1
#
#
#
#
# self.transition_matrix = temp_transition_matrix
# self.emission_matrix = temp_emission_matrix
def forward_algorithm():
pass
class infiniteStateOracle:
def __init__(self, parent_model):
self.parent_model = parent_model
self.oracle_vector = np.zeros(0)
self.emission_oracle_matrix = np.zeros((0,len(parent_model.observation_set)))
self.alpha = parent_model.alpha
self.beta = parent_model.beta
self.gamma = parent_model.gamma
self.betaE = parent_model.betaE
self.gammaE = parent_model.gammaE
self.emission_oracle_list = []
self.state_oracle_emissions = (np.random.random(len(parent_model.observations)) < .2).astype(dtype=int)
self.emission_oracle_emissions = (np.random.random(len(parent_model.observations)) < .2).astype(dtype=int)
self.state_assignment_array = np.asarray(map(lambda x: x.index,parent_model.state_assignments))
def reset(self):
self.state_oracle_emissions = np.ones(self.state_oracle_emissions.shape)
for emission_oracle in self.emission_oracle_list:
emission_oracle.reset()
self.count_oracle_vector()
def count_oracle_vector(self):
self.state_assignment_array = np.asarray(map(lambda x: x.index,self.parent_model.state_assignments))
for i,state in enumerate(self.oracle_vector):
state = np.sum(self.state_oracle_emissions[self.state_assignment_array == i])
if state < len(self.parent_model.observation_set):
state = len(self.parent_model.observation_set)
for i, emission_oracle in enumerate(self.emission_oracle_list):
filter_by_state = self.state_assignment_array == i
for j, observation in enumerate(self.parent_model.observation_index_list):
filter_by_observation = self.parent_model.observation_array == observation
total_filter = np.logical_and(filter_by_state,filter_by_observation)
emission_oracle.emission_oracle_vector[self.parent_model.observation_index_list.index(observation)] = max(np.sum(self.emission_oracle_emissions[total_filter]),1)
self.emission_oracle_matrix[i,j] = max(np.sum(self.emission_oracle_emissions[total_filter]),1)
def add_state(self):
self.oracle_vector = np.append(self.oracle_vector, np.ones(1))
self.emission_oracle_list.append(infiniteEmissionOracle(self,len(self.parent_model.observation_set)))
print "Oracle Matrix Shape"
print self.emission_oracle_matrix.shape
self.emission_oracle_matrix = np.append(self.emission_oracle_matrix,np.ones((1,len(self.parent_model.observation_set))),axis=0)
def remove_state(self,i):
self.oracle_vector = np.delete(self.oracle_vector,i,axis=0)
self.emission_oracle_list.pop(i)
self.emission_oracle_matrix = np.delete(self.emission_oracle_matrix,i,axis=0)
def sample(self, i):
temp_transition_matrix = self.model.transition_matrix
temp_emission_matrix = self.model.emission_matrix
old_state = self.model.state_assignments[i]
def choose_state(self):
span = np.sum(self.oracle_vector) + self.gamma
choice = random.random()*float(span)
temp = 0
for i, state in enumerate(self.oracle_vector):
temp += state
if temp > choice:
self.oracle_vector[i] += 1
return(i)
else:
return -1
class infiniteEmissionOracle:
def __init__(self, parent_state_oracle, vocabulary):
pass
self.parent_oracle = parent_state_oracle
self.betaE = self.parent_oracle.betaE
self.gammaE = self.parent_oracle.gammaE
self.emission_oracle_vector = np.ones(vocabulary)
def reset(self):
self.emission_oracle_vector = np.ones(self.emission_oracle_vector.shape)
def sample_emission(self):
pass
class hiddenState:
def __init__(self, index, parent_model):
self.emission_counts = {}
self.index = index
self.model = parent_model
def count_emissions(self):
observation_list = []
for i, observation in enumerate(self.model.observations):
if self.model.state_assignments[i].index == self.index:
observation_list.append(self.model.observations[i])
print observation_list
for observation in self.model.observation_set:
self.emission_counts[observation] = 0
for observation in observation_list:
self.emission_counts[observation] += 1
print self.emission_counts
self.emission_vector = np.zeros(len(self.emission_counts))
for key in self.emission_counts:
self.emission_vector[self.model.observation_index_list.index(key)] = self.emission_counts[key]
self.model.emission_matrix[self.index] = self.emission_vector
print self.emission_vector
observation_concat = list("ABCDCB")*20
model = hiddenModel(observation_concat,beta=1,betaE=.01,gamma=30,gammaE=10)
model.initialize_random(states=20)
print observation_concat
print model.state_list
print map(lambda x: x.index, model.state_assignments)
print len(model.state_assignments)
print len(model.observations)
print model.emission_matrix
print model.transition_matrix
for i in range(10000):
print i
model.sample(i)
if i%500 == 0:
print map(lambda x: x.index, model.state_assignments)
raw_input()
for state in model.state_assignments:
print model.observation_index_list[pick_from_odds(odds(model.emission_matrix[state.index]))]