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bigram_v3.py
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# Multi-head self-attention
import torch
import torch.nn as nn
from torch.nn import functional as F
# hyperparameters
batch_size = 32 # how many independet sequences we will process in parallel
block_size = 8 # what is the maximum context length of the predictions?
max_iters = 5000
eval_interval = 500
learning_rate = 1e-3
device = "cuda" if torch.cuda.is_available() else "cpu"
eval_iters = 200
n_embd = 32
torch.manual_seed(1337)
with open("input.txt", "r", encoding="utf-8") as f:
text = f.read()
# unique characters that occur in the dataset
chars = sorted(list(set(text)))
vocab_size = len(chars)
# creating mapping from characters to integers
stoi = {ch: i for i, ch in enumerate(chars)}
itos = {i: ch for i, ch in enumerate(chars)}
encode = lambda s: [
stoi[c] for c in s
] # encoder: takes a string, output a list of integers
decode = lambda l: "".join(
[itos[i] for i in l]
) # decoder: takes a list of integers, outputs a string
# train and test splits
data = torch.tensor(encode(text), dtype=torch.long)
n = int(0.9 * len(data)) # first 90% will be train, rest val
train_data = data[:n]
val_data = data[n:]
# data loading
def get_batch(split):
# generate a small batch of data of inputs x and targets y
data = train_data if split == "train" else val_data
ix = torch.randint(len(data) - block_size, (batch_size,))
x = torch.stack([data[i : i + block_size] for i in ix])
y = torch.stack([data[i + 1 : i + block_size + 1] for i in ix])
x, y = x.to(device), y.to(device)
return x, y
@torch.no_grad()
def estimate_loss():
out = {}
model.eval()
for split in ["train", "val"]:
losses = torch.zeros(eval_iters)
for k in range(eval_iters):
X, Y = get_batch(split)
logits, loss = model(X, Y)
losses[k] = loss.item()
out[split] = losses.mean()
model.train()
return out
class Head(nn.Module):
"""one head of self attention"""
def __init__(self, head_size):
super().__init__()
self.key = nn.Linear(n_embd, head_size, bias=False)
self.query = nn.Linear(n_embd, head_size, bias=False)
self.value = nn.Linear(n_embd, head_size, bias=False)
self.register_buffer("tril", torch.tril(torch.ones(block_size, block_size)))
def forward(self, x):
B, T, C = x.shape
k = self.key(x) # B, T, C
q = self.query(x) # B, T, C
# compute attention scores ("affinities")
wei = (
q @ k.transpose(-2, -1) * C**-0.5
) # (B, T, C) @ (B, 16, C) ----> (B, T, T)
wei = wei.masked_fill(self.tril[:T, :T] == 0, float("-inf")) # (B, T, T)
wei = F.softmax(wei, dim=-1) # (B, T, T)
# perform the weighted aggregation of the values
v = self.value(x) # (B, T, C)
out = wei @ v # (B, T, T) @ (B, T, C) --> (B, T, C)
return out
class MultiHeadAttention(nn.Module):
"""multiple heads of self-attention in parallel"""
def __init__(self, num_heads, head_size):
super().__init__()
self.heads = nn.ModuleList([Head(head_size) for _ in range(num_heads)])
self.proj = nn.Linear(n_embd, n_embd)
def forward(self, x):
out = torch.cat([h(x) for h in self.heads], dim=-1)
out = self.proj(out)
return out
class FeedForward(nn.Module):
"""a simple linear layer followed by a non linearity"""
def __init__(self, n_embd):
super().__init__()
self.net = nn.Sequential(
nn.Linear(n_embd, 4 * n_embd),
nn.ReLU(),
nn.Linear(
4 * n_embd, n_embd
), # projection layer going back to the residual pathway
)
def forward(self, x):
return self.net(x)
class Block(nn.Module):
"""Transformer block: communication followed by computation"""
def __init__(self, n_embd, n_head):
super().__init__()
head_size = n_embd // n_head
self.sa = MultiHeadAttention(n_head, head_size)
self.ffwd = FeedForward(n_embd)
self.ln1 = nn.LayerNorm(n_embd)
self.ln2 = nn.LayerNorm(n_embd)
def forward(self, x):
# residual connection for optimization
x = x + self.sa(self.ln1(x))
x = x + self.ffwd(
self.ln2(x)
) # computation is done in feedforward on all the tokens independently
return x
# super simple bigram model
class BigramLanguageModel(nn.Module):
def __init__(self):
super().__init__()
# each token directly reads off the logits for the next token from a lookup table
self.token_embedding_table = nn.Embedding(vocab_size, n_embd)
self.position_embedding_table = nn.Embedding(block_size, n_embd)
self.blocks = nn.Sequential(
Block(n_embd, n_head=4),
Block(n_embd, n_head=4),
Block(n_embd, n_head=4),
nn.LayerNorm(n_embd),
)
self.lm_head = nn.Linear(n_embd, vocab_size)
def forward(self, idx, targets=None):
B, T = idx.shape
# idx and targets are both (B, T) tensors of integers
token_emb = self.token_embedding_table(idx) # B,T,C
pos_emb = self.position_embedding_table(torch.arange(T, device=device)) # T, C
x = token_emb + pos_emb
x = self.blocks(x)
logits = self.lm_head(x) # B, T, vocab_size
if targets is None:
loss = None
else:
B, T, C = logits.shape
targets = targets.view(B * T)
loss = F.cross_entropy(logits.view(B * T, C), targets)
return logits, loss
def generate(self, idx, max_new_tokens):
# idx is (B,T) array of indices in the current context
for _ in range(max_new_tokens):
# crop the idx to the last block_size tokens
idx_cond = idx[:, -block_size:]
# get the predictions
logits, loss = self(idx_cond)
# focus only on last time step
logits = logits[:, -1, :] # becomes (B, C)
# apply softmax to get probabilities
probs = F.softmax(logits, dim=1) # B,C
# sample from the distribution
idx_next = torch.multinomial(probs, num_samples=1) # B,1
# append sampled index to the running sequence
idx = torch.cat((idx, idx_next), dim=1) # B, T+1
return idx
model = BigramLanguageModel()
m = model.to(device)
optimizer = torch.optim.AdamW(model.parameters(), lr=learning_rate)
for iter in range(max_iters):
# every once in while evaluate loss on train and val sets
if iter % eval_interval == 0:
losses = estimate_loss()
print(
f"step {iter}: train loss {losses['train']:.4f}, val loss {losses['val']:.4f}"
)
# sample a batch of data
xb, yb = get_batch("train")
# evaluate the loss
logits, loss = m(xb, yb)
optimizer.zero_grad(set_to_none=True)
loss.backward()
optimizer.step()
# generate from model
context = torch.zeros((1, 1), dtype=torch.long)
print(decode(m.generate(context, max_new_tokens=500)[0].tolist()))