Softmax回归(使用theano)

时间:2022-07-08 13:09:44
 # coding:utf8
import numpy as np
import cPickle
import theano
import os
import theano.tensor as T class SoftMax:
def __init__(self,MAXT=50,step=0.15,landa=0):
self.MAXT = MAXT
self.step = step
self.landa = landa #在此权重衰减项未能提升正确率 def load_theta(self,datapath):
self.theta = cPickle.load(open(datapath,'rb')) def process_train(self,data,label,typenum,batch_size=500):
valuenum=data.shape[1]
batches = data.shape[0] / batch_size
data = theano.shared(np.asarray(data,dtype=theano.config.floatX))
label = T.cast(theano.shared(np.asarray(label,dtype=theano.config.floatX)), 'int32')
x = T.matrix('x')
y = T.ivector('y')
index = T.lscalar()
theta = theano.shared(value=0.001*np.zeros((valuenum,typenum),
dtype=theano.config.floatX),
name='theta',borrow=True)
hx=T.nnet.softmax(T.dot(x,theta))
cost = -T.mean(T.log(hx)[T.arange(y.shape[0]), y]) +0.5*self.landa*T.sum(theta ** 2) #权重衰减项
g_theta = T.grad(cost, theta)
updates = [(theta, theta - self.step * g_theta)]
train_model = theano.function(
inputs=[index],outputs=cost,updates=updates,givens={
x: data[index * batch_size: (index + 1) * batch_size],
y: label[index * batch_size: (index + 1) * batch_size]
},allow_input_downcast=True
)
lastcostJ = np.inf
stop = False
epoch = 0
costj=[]
while (epoch < self.MAXT) and (not stop):
epoch = epoch + 1
for minibatch_index in xrange(batches):
costj.append(train_model(minibatch_index))
if np.mean(costj)>=lastcostJ:
print "costJ is increasing !!!"
stop=True
else:
lastcostJ=np.mean(costj)
print(( 'epoch %i, minibatch %i/%i,averange cost is %f') %
(epoch,minibatch_index + 1,batches,lastcostJ))
self.theta=theta
if not os.path.exists('data/softmax.pkl'):
f= open("data/softmax.pkl",'wb')
cPickle.dump(self.theta.get_value(),f)
f.close()
return self.theta.get_value() def process_test(self,data,label,batch_size=500):
batches = label.shape[0] / batch_size
data = theano.shared(np.asarray(data,dtype=theano.config.floatX))
label = T.cast(theano.shared(np.asarray(label,dtype=theano.config.floatX)), 'int32')
x = T.matrix('x')
y = T.ivector('y')
index = T.lscalar()
hx=T.nnet.softmax(T.dot(x,self.theta))
predict = T.argmax(hx, axis=1)
errors=T.mean(T.neq(predict, y))
test_model = theano.function(
inputs=[index],outputs=errors,givens={
x: data[index * batch_size: (index + 1) * batch_size],
y: label[index * batch_size: (index + 1) * batch_size]
},allow_input_downcast=True
)
test_losses=[]
for minibatch_index in xrange(batches):
test_losses.append(test_model(minibatch_index))
test_score = np.mean(test_losses)
print(( 'minibatch %i/%i, test error of model %f %%') %
(minibatch_index + 1,batches,test_score * 100.)) def h(self,x):
m = np.exp(np.dot(x,self.theta))
sump = np.sum(m,axis=1)
return m/sump def predict(self,x):
return np.argmax(self.h(x),axis=1) if __name__ == '__main__':
f = open('mnist.pkl', 'rb')
training_data, validation_data, test_data = cPickle.load(f)
training_inputs = [np.reshape(x, 784) for x in training_data[0]]
data = np.array(training_inputs)
training_inputs = [np.reshape(x, 784) for x in validation_data[0]]
vdata = np.array(training_inputs)
f.close()
softmax = SoftMax()
softmax.process_train(data,training_data[1],10)
softmax.process_test(vdata,validation_data[1])
#minibatch 20/20, test error of model 7.530000 %