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9d2b68b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 | import torch.nn as nn
from einops import einsum, rearrange
import torch
import math
def softmax(x , dim):
x_max = x.max(dim=dim, keepdim=True).values
exp = torch.exp(x-x_max)
return exp/torch.sum(exp, dim=dim, keepdim=True)
def scaled_dot_product_attention(q, k, v, mask=None):
QK = einsum(q, k, "... seq_len d_k, ... seq d_k -> ... seq_len seq")
d_k = q.shape[-1]
root_d_k = 1/math.sqrt(d_k)
s = QK * root_d_k
if mask is not None:
s = s.masked_fill(mask == False, float('-inf'))
s_max = softmax(s, -1)
return einsum(s_max, v, "... q k, ... k d_v -> ... q d_v")
class Linear(nn.Module):
def __init__(self, in_features: int, out_features: int, device = None, dtype = None):
super().__init__()
self.weight = nn.Parameter(
torch.empty(out_features, in_features, device = device, dtype = dtype)
)
nn.init.trunc_normal_(
self.weight,
mean = 0.0,
std = math.sqrt(2/(in_features + out_features)),
a = -3.0 * math.sqrt(2/(in_features + out_features)),
b = 3.0 * math.sqrt(2/(in_features + out_features))
)
def forward(self, A):
return einsum(A, self.weight, "... d_in, d_out d_in -> ... d_out")
class Embedding(nn.Module):
def __init__(self, num_embeddings, embedding_dim, device = None, dtype = None):
super().__init__()
self.weight = nn.Parameter(
torch.empty(num_embeddings, embedding_dim, device=device, dtype=dtype)
)
nn.init.trunc_normal_(self.weight, mean = 0.0, std = 1.0, a = -3.0, b = 3.0)
def forward(self, token_ids):
return self.weight[token_ids]
class RMSNorm(nn.Module):
def __init__(self, d_model, eps: float = 1e-5 , device = None, dtype = None):
super().__init__()
self.weight = nn.Parameter(
torch.ones(d_model)
)
self.eps = eps
# No trunc normal since we're not drawing from a distribution.
def forward(self, x):
in_dtype = x.dtype
x = x.to(torch.float32) # convert to float32 to avoid overflow
sq = x*x
m = sq.mean(dim=-1, keepdim= True)
result = x * torch.rsqrt(m + self.eps) * self.weight
return result.to(in_dtype)
class SwiGLU(nn.Module):
def __init__(self, d_model, d_ff):
super().__init__()
self.w1 = Linear(d_model, d_ff)
self.w2 = Linear(d_ff, d_model)
self.w3 = Linear(d_model, d_ff)
def forward(self, x):
w1x = self.w1(x)
w3x = self.w3(x)
siluw1x = w1x * torch.sigmoid(w1x)
return self.w2(siluw1x * w3x)
class SiLU(nn.Module):
def __init__(self):
super().__init__()
def forward(self, x):
return x * torch.sigmoid(x)
# RoPE
class RotaryPositionalEmbedding(nn.Module):
def __init__(self, theta: float, d_k: int, max_seq_len: int, device = None):
super().__init__()
self.theta = theta
self.d_k = d_k
self.max_seq_len = max_seq_len
value_vector = torch.arange(0, d_k, 2).float()
frequency_vector = theta ** (-(value_vector/d_k))
positions_vector = torch.arange(max_seq_len).float()
angles = torch.outer(positions_vector, frequency_vector)
cos_table = angles.cos()
sin_table = angles.sin()
self.register_buffer("cos_table", cos_table, persistent=False)
self.register_buffer("sin_table", sin_table, persistent=False)
def forward(self, x, token_positions):
pairs = rearrange(x, '... seq (half two) -> ... seq half two', two = 2) # Get a 2d vector of pairs.
a = pairs[..., 0]
b = pairs[..., 1]
cos = self.cos_table[token_positions]
sin = self.sin_table[token_positions]
a_rot = a * cos - b * sin
b_rot = a * sin + b * cos
stacked = torch.stack((a_rot, b_rot), dim = -1)
return rearrange(stacked, '... seq half two -> ... seq (half two)')
class Multihead_attention(nn.Module):
def __init__(self, d_model, num_heads, max_seq_len = None, theta = None, do_rope: bool = None):
super().__init__()
self.num_heads = num_heads
self.d_k = d_model // num_heads
self.W_K = Linear(d_model, d_model)
self.W_Q = Linear(d_model, d_model)
self.W_V = Linear(d_model, d_model)
self.W_O = Linear(d_model, d_model)
self.do_rope = do_rope
if self.do_rope == True:
self.rope = RotaryPositionalEmbedding(theta, self.d_k, max_seq_len)
def forward(self, x):
Q = self.W_Q(x)
K = self.W_K(x)
V = self.W_V(x)
Q = rearrange(Q, "batch seq (h d_k) -> batch h seq d_k", h=self.num_heads)
K = rearrange(K, "batch seq (h d_k) -> batch h seq d_k", h=self.num_heads)
V = rearrange(V, "batch seq (h d_k) -> batch h seq d_k", h=self.num_heads)
# Apply RoPE.
seq = x.shape[1]
token_positions = torch.arange(seq, device= x.device)
if self.do_rope == True:
Q = self.rope(Q, token_positions)
K = self.rope(K, token_positions)
# Apply causal masking
mask = torch.tril(torch.ones(seq, seq, dtype=torch.bool, device = x.device))
out = scaled_dot_product_attention(Q, K, V, mask)
out = rearrange(out, "batch h seq d_k -> batch seq (h d_k)")
return self.W_O(out)
class TransformerBlock(nn.Module):
def __init__(self, d_model, num_heads, d_ff, max_seq_len, theta):
super().__init__()
self.attn = Multihead_attention(d_model, num_heads, max_seq_len, theta, do_rope = True)
self.ffn = SwiGLU(d_model, d_ff)
self.norm1 = RMSNorm(d_model)
self.norm2 = RMSNorm(d_model)
def forward(self, x):
x = x + self.attn(self.norm1(x))
x = x + self.ffn(self.norm2(x))
return x
class TransformerLM(nn.Module):
def __init__(self, vocab_size, context_length, num_layers, d_model, num_heads, d_ff, theta):
super().__init__()
self.embedding = Embedding(vocab_size, d_model)
self.layers = nn.ModuleList(
[
TransformerBlock(d_model, num_heads, d_ff, context_length, theta)
for _ in range(num_layers)
]
)
self.final_norm = RMSNorm(d_model)
self.lm_head = Linear(d_model, vocab_size)
def forward(self, token_ids):
x = self.embedding(token_ids)
for layer in self.layers:
x = layer(x)
x = self.final_norm(x)
return self.lm_head(x) |