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gpt2.py
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import numpy as np
import time
debug = False
def gelu(x):
return 0.5 * x * (1 + np.tanh(np.sqrt(2 / np.pi) * (x + 0.044715 * x**3)))
def softmax(x):
exp_x = np.exp(x - np.max(x, axis=-1, keepdims=True))
return exp_x / np.sum(exp_x, axis=-1, keepdims=True)
def layer_norm(x, g, b, eps: float = 1e-5):
mean = np.mean(x, axis=-1, keepdims=True)
variance = np.var(x, axis=-1, keepdims=True)
x = (x - mean) / np.sqrt(variance + eps) # normalize x to have mean=0 and var=1 over last axis
return g * x + b # scale and offset with gamma/beta params
def linear(x, w, b): # [m, in], [in, out], [out] -> [m, out]
return x @ w + b
def ffn(x, c_fc, c_proj): # [n_seq, n_embd] -> [n_seq, n_embd]
# project up
a = gelu(linear(x, **c_fc)) # [n_seq, n_embd] -> [n_seq, 4*n_embd]
# project back down
x = linear(a, **c_proj) # [n_seq, 4*n_embd] -> [n_seq, n_embd]
return x
def attention(q, k, v, mask): # [n_q, d_k], [n_k, d_k], [n_k, d_v], [n_q, n_k] -> [n_q, d_v]
return softmax(q @ k.T / np.sqrt(q.shape[-1]) + mask) @ v
def mha(x, c_attn, c_proj, n_head): # [n_seq, n_embd] -> [n_seq, n_embd]
# qkv projection
x = linear(x, **c_attn) # [n_seq, n_embd] -> [n_seq, 3*n_embd]
# split into qkv
qkv = np.split(x, 3, axis=-1) # [n_seq, 3*n_embd] -> [3, n_seq, n_embd]
# split into heads
qkv_heads = list(map(lambda x: np.split(x, n_head, axis=-1), qkv)) # [3, n_seq, n_embd] -> [3, n_head, n_seq, n_embd/n_head]
# causal mask to hide future inputs from being attended to
causal_mask = (1 - np.tri(x.shape[0], dtype=np.float16)) * -1e10 # [n_seq, n_seq]
# perform attention over each head
out_heads = [attention(q, k, v, causal_mask) for q, k, v in zip(*qkv_heads)] # [3, n_head, n_seq, n_embd/n_head] -> [n_head, n_seq, n_embd/n_head]
# merge heads
x = np.hstack(out_heads) # [n_head, n_seq, n_embd/n_head] -> [n_seq, n_embd]
# out projection
x = linear(x, **c_proj) # [n_seq, n_embd] -> [n_seq, n_embd]
return x
def transformer_block(x, mlp, attn, ln_1, ln_2, n_head): # [n_seq, n_embd] -> [n_seq, n_embd]
# multi-head causal self attention
x = x + mha(layer_norm(x, **ln_1), **attn, n_head=n_head) # [n_seq, n_embd] -> [n_seq, n_embd]
# position-wise feed forward network
x = x + ffn(layer_norm(x, **ln_2), **mlp) # [n_seq, n_embd] -> [n_seq, n_embd]
return x
def gpt2(inputs, wte, wpe, blocks, ln_f, n_head): # [n_seq] -> [n_seq, n_vocab]
# token + positional embeddings
x = wte[inputs] + wpe[range(len(inputs))] # [n_seq] -> [n_seq, n_embd]
# forward pass through n_layer transformer blocks
for block in blocks:
x = transformer_block(x, **block, n_head=n_head) # [n_seq, n_embd] -> [n_seq, n_embd]
# projection to vocab
x = layer_norm(x, **ln_f) # [n_seq, n_embd] -> [n_seq, n_embd]
return x @ wte.T # [n_seq, n_embd] -> [n_seq, n_vocab]
def generate(inputs, params, n_head, sentence_n):
while True:
logits = gpt2(inputs[-40:], **params, n_head=n_head)[-1] # model forward pass
#Sort of top-p sampling
s = logits.argsort()[-10:][::-1]
slice = [x for x in s if ((1/logits[s[0]])*logits[x]>0.92)]
next_id = np.random.choice(slice)
# Debug output to see which token network choose
if debug:
print()
for index in slice:
if next_id == index:
print('V', index, logits[index], encoder.decode([index]))
else:
print(' ', index, logits[index], encoder.decode([index]))
#next_id = np.argmax(logits[-1]) # greedy sampling
inputs = np.append(inputs, [next_id]) # append prediction to input
if inputs[-1]==13:
sentence_n-=1
if sentence_n < 0:
break
print(encoder.decode([inputs[-1]]), end='', flush=True)
print()
if __name__ == "__main__":
from utils import load_encoder_hparams_and_params
model_size = "1558M"
models_dir = "models"
encoder, hparams, params = load_encoder_hparams_and_params(model_size, models_dir)
while True:
prompt = input('>')
if prompt == '':
continue
# encode the input string using the BPE tokenizer
t = time.time()
input_ids = encoder.encode(prompt)
# make sure we are not surpassing the max sequence length of our model
#assert len(input_ids) + n_tokens_to_generate < hparams["n_ctx"]
# generate output ids
output_ids = generate(input_ids, params, hparams["n_head"], 3) # Max number of sentences is 5
# decode the ids back into a string
# encoder.decode(output_ids)
print(time.time() - t)