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Signed-off-by: Zhou Chang <[email protected]>
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""" | ||
Minimal character-level Vanilla RNN model. Written by Andrej Karpathy (@karpathy) | ||
BSD License | ||
""" | ||
import numpy as np | ||
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# data I/O | ||
data = open('input.txt', 'r').read() # should be simple plain text file | ||
chars = list(set(data)) | ||
data_size, vocab_size = len(data), len(chars) | ||
print 'data has %d characters, %d unique.' % (data_size, vocab_size) | ||
char_to_ix = { ch:i for i,ch in enumerate(chars) } | ||
ix_to_char = { i:ch for i,ch in enumerate(chars) } | ||
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# hyperparameters | ||
hidden_size = 100 # size of hidden layer of neurons | ||
seq_length = 25 # number of steps to unroll the RNN for | ||
learning_rate = 1e-1 | ||
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# model parameters | ||
Wxh = np.random.randn(hidden_size, vocab_size)*0.01 # input to hidden | ||
Whh = np.random.randn(hidden_size, hidden_size)*0.01 # hidden to hidden | ||
Why = np.random.randn(vocab_size, hidden_size)*0.01 # hidden to output | ||
bh = np.zeros((hidden_size, 1)) # hidden bias | ||
by = np.zeros((vocab_size, 1)) # output bias | ||
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def lossFun(inputs, targets, hprev): | ||
""" | ||
inputs,targets are both list of integers. | ||
hprev is Hx1 array of initial hidden state | ||
returns the loss, gradients on model parameters, and last hidden state | ||
""" | ||
xs, hs, ys, ps = {}, {}, {}, {} | ||
hs[-1] = np.copy(hprev) | ||
loss = 0 | ||
# forward pass | ||
for t in xrange(len(inputs)): | ||
xs[t] = np.zeros((vocab_size,1)) # encode in 1-of-k representation | ||
xs[t][inputs[t]] = 1 | ||
hs[t] = np.tanh(np.dot(Wxh, xs[t]) + np.dot(Whh, hs[t-1]) + bh) # hidden state | ||
ys[t] = np.dot(Why, hs[t]) + by # unnormalized log probabilities for next chars | ||
ps[t] = np.exp(ys[t]) / np.sum(np.exp(ys[t])) # probabilities for next chars | ||
loss += -np.log(ps[t][targets[t],0]) # softmax (cross-entropy loss) | ||
# backward pass: compute gradients going backwards | ||
dWxh, dWhh, dWhy = np.zeros_like(Wxh), np.zeros_like(Whh), np.zeros_like(Why) | ||
dbh, dby = np.zeros_like(bh), np.zeros_like(by) | ||
dhnext = np.zeros_like(hs[0]) | ||
for t in reversed(xrange(len(inputs))): | ||
dy = np.copy(ps[t]) | ||
dy[targets[t]] -= 1 # backprop into y. see http://cs231n.github.io/neural-networks-case-study/#grad if confused here | ||
dWhy += np.dot(dy, hs[t].T) | ||
dby += dy | ||
dh = np.dot(Why.T, dy) + dhnext # backprop into h | ||
dhraw = (1 - hs[t] * hs[t]) * dh # backprop through tanh nonlinearity | ||
dbh += dhraw | ||
dWxh += np.dot(dhraw, xs[t].T) | ||
dWhh += np.dot(dhraw, hs[t-1].T) | ||
dhnext = np.dot(Whh.T, dhraw) | ||
for dparam in [dWxh, dWhh, dWhy, dbh, dby]: | ||
np.clip(dparam, -5, 5, out=dparam) # clip to mitigate exploding gradients | ||
return loss, dWxh, dWhh, dWhy, dbh, dby, hs[len(inputs)-1] | ||
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def sample(h, seed_ix, n): | ||
""" | ||
sample a sequence of integers from the model | ||
h is memory state, seed_ix is seed letter for first time step | ||
""" | ||
x = np.zeros((vocab_size, 1)) | ||
x[seed_ix] = 1 | ||
ixes = [] | ||
for t in xrange(n): | ||
h = np.tanh(np.dot(Wxh, x) + np.dot(Whh, h) + bh) | ||
y = np.dot(Why, h) + by | ||
p = np.exp(y) / np.sum(np.exp(y)) | ||
ix = np.random.choice(range(vocab_size), p=p.ravel()) | ||
x = np.zeros((vocab_size, 1)) | ||
x[ix] = 1 | ||
ixes.append(ix) | ||
return ixes | ||
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n, p = 0, 0 | ||
mWxh, mWhh, mWhy = np.zeros_like(Wxh), np.zeros_like(Whh), np.zeros_like(Why) | ||
mbh, mby = np.zeros_like(bh), np.zeros_like(by) # memory variables for Adagrad | ||
smooth_loss = -np.log(1.0/vocab_size)*seq_length # loss at iteration 0 | ||
while True: | ||
# prepare inputs (we're sweeping from left to right in steps seq_length long) | ||
if p+seq_length+1 >= len(data) or n == 0: | ||
hprev = np.zeros((hidden_size,1)) # reset RNN memory | ||
p = 0 # go from start of data | ||
inputs = [char_to_ix[ch] for ch in data[p:p+seq_length]] | ||
targets = [char_to_ix[ch] for ch in data[p+1:p+seq_length+1]] | ||
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# sample from the model now and then | ||
if n % 100 == 0: | ||
sample_ix = sample(hprev, inputs[0], 200) | ||
txt = ''.join(ix_to_char[ix] for ix in sample_ix) | ||
print '----\n %s \n----' % (txt, ) | ||
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# forward seq_length characters through the net and fetch gradient | ||
loss, dWxh, dWhh, dWhy, dbh, dby, hprev = lossFun(inputs, targets, hprev) | ||
smooth_loss = smooth_loss * 0.999 + loss * 0.001 | ||
if n % 100 == 0: print 'iter %d, loss: %f' % (n, smooth_loss) # print progress | ||
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# perform parameter update with Adagrad | ||
for param, dparam, mem in zip([Wxh, Whh, Why, bh, by], | ||
[dWxh, dWhh, dWhy, dbh, dby], | ||
[mWxh, mWhh, mWhy, mbh, mby]): | ||
mem += dparam * dparam | ||
param += -learning_rate * dparam / np.sqrt(mem + 1e-8) # adagrad update | ||
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p += seq_length # move data pointer | ||
n += 1 # iteration counter |