16788eed3c
This change ensures that the logits softcapping operation (tanh) is performed in float32 precision rather than bfloat16. Previously, the code cast to float32 after the tanh operation, which meant the non-linearity was computed with bfloat16 precision
309 lines
14 KiB
Python
309 lines
14 KiB
Python
"""
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GPT model (rewrite, a lot simpler)
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Notable features:
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- rotary embeddings (and no positional embeddings)
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- QK norm
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- untied weights for token embedding and lm_head
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- relu^2 activation in MLP
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- norm after token embedding
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- no learnable params in rmsnorm
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- no bias in linear layers
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- Group-Query Attention (GQA) support for more efficient inference
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"""
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import math
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from functools import partial
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from dataclasses import dataclass
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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from nanochat.common import get_dist_info, print0
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from nanochat.muon import Muon, DistMuon
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from nanochat.adamw import DistAdamW
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@dataclass
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class GPTConfig:
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sequence_len: int = 1024
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vocab_size: int = 50304
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n_layer: int = 12
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n_head: int = 6 # number of query heads
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n_kv_head: int = 6 # number of key/value heads (GQA)
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n_embd: int = 768
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def norm(x):
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# Purely functional rmsnorm with no learnable params
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return F.rms_norm(x, (x.size(-1),))
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def apply_rotary_emb(x, cos, sin):
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assert x.ndim == 4 # multihead attention
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d = x.shape[3] // 2
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x1, x2 = x[..., :d], x[..., d:] # split up last time into two halves
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y1 = x1 * cos + x2 * sin # rotate pairs of dims
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y2 = x1 * (-sin) + x2 * cos
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out = torch.cat([y1, y2], 3) # re-assemble
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out = out.to(x.dtype) # ensure input/output dtypes match
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return out
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class CausalSelfAttention(nn.Module):
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def __init__(self, config, layer_idx):
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super().__init__()
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self.layer_idx = layer_idx
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self.n_head = config.n_head
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self.n_kv_head = config.n_kv_head
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self.n_embd = config.n_embd
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self.head_dim = self.n_embd // self.n_head
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assert self.n_embd % self.n_head == 0
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assert self.n_kv_head <= self.n_head and self.n_head % self.n_kv_head == 0
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self.c_q = nn.Linear(self.n_embd, self.n_head * self.head_dim, bias=False)
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self.c_k = nn.Linear(self.n_embd, self.n_kv_head * self.head_dim, bias=False)
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self.c_v = nn.Linear(self.n_embd, self.n_kv_head * self.head_dim, bias=False)
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self.c_proj = nn.Linear(self.n_embd, self.n_embd, bias=False)
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def forward(self, x, cos_sin, kv_cache):
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B, T, C = x.size()
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# Project the input to get queries, keys, and values
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q = self.c_q(x).view(B, T, self.n_head, self.head_dim)
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k = self.c_k(x).view(B, T, self.n_kv_head, self.head_dim)
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v = self.c_v(x).view(B, T, self.n_kv_head, self.head_dim)
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# Apply Rotary Embeddings to queries and keys to get relative positional encoding
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cos, sin = cos_sin
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q, k = apply_rotary_emb(q, cos, sin), apply_rotary_emb(k, cos, sin) # QK rotary embedding
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q, k = norm(q), norm(k) # QK norm
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q, k, v = q.transpose(1, 2), k.transpose(1, 2), v.transpose(1, 2) # make head be batch dim, i.e. (B, T, H, D) -> (B, H, T, D)
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# Apply KV cache: insert current k,v into cache, get the full view so far
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if kv_cache is not None:
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k, v = kv_cache.insert_kv(self.layer_idx, k, v)
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Tq = q.size(2) # number of queries in this forward pass
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Tk = k.size(2) # number of keys/values in total (in the cache + current forward pass)
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# Attention: queries attend to keys/values autoregressively. A few cases to handle:
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enable_gqa = self.n_head != self.n_kv_head # Group Query Attention (GQA): duplicate key/value heads to match query heads if desired
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if kv_cache is None or Tq == Tk:
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# During training (no KV cache), attend as usual with causal attention
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# And even if there is KV cache, we can still use this simple version when Tq == Tk
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y = F.scaled_dot_product_attention(q, k, v, is_causal=True, enable_gqa=enable_gqa)
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elif Tq == 1:
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# During inference but with a single query in this forward pass:
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# The query has to attend to all the keys/values in the cache
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y = F.scaled_dot_product_attention(q, k, v, is_causal=False, enable_gqa=enable_gqa)
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else:
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# During inference AND we have a chunk of queries in this forward pass:
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# First, each query attends to all the cached keys/values (i.e. full prefix)
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attn_mask = torch.zeros((Tq, Tk), dtype=torch.bool, device=q.device) # True = keep, False = mask
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prefix_len = Tk - Tq
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if prefix_len > 0: # can't be negative but could be zero
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attn_mask[:, :prefix_len] = True
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# Then, causal attention within this chunk
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attn_mask[:, prefix_len:] = torch.tril(torch.ones((Tq, Tq), dtype=torch.bool, device=q.device))
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y = F.scaled_dot_product_attention(q, k, v, attn_mask=attn_mask, enable_gqa=enable_gqa)
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# Re-assemble the heads side by side and project back to residual stream
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y = y.transpose(1, 2).contiguous().view(B, T, -1)
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y = self.c_proj(y)
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return y
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class MLP(nn.Module):
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def __init__(self, config):
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super().__init__()
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self.c_fc = nn.Linear(config.n_embd, 4 * config.n_embd, bias=False)
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self.c_proj = nn.Linear(4 * config.n_embd, config.n_embd, bias=False)
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def forward(self, x):
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x = self.c_fc(x)
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x = F.relu(x).square()
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x = self.c_proj(x)
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return x
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class Block(nn.Module):
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def __init__(self, config, layer_idx):
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super().__init__()
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self.attn = CausalSelfAttention(config, layer_idx)
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self.mlp = MLP(config)
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def forward(self, x, cos_sin, kv_cache):
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x = x + self.attn(norm(x), cos_sin, kv_cache)
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x = x + self.mlp(norm(x))
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return x
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class GPT(nn.Module):
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def __init__(self, config):
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super().__init__()
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self.config = config
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self.transformer = nn.ModuleDict({
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"wte": nn.Embedding(config.vocab_size, config.n_embd),
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"h": nn.ModuleList([Block(config, layer_idx) for layer_idx in range(config.n_layer)]),
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})
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self.lm_head = nn.Linear(config.n_embd, config.vocab_size, bias=False)
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# To support meta device initialization, we init the rotary embeddings here, but it's fake
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# As for rotary_seq_len, these rotary embeddings are pretty small/cheap in memory,
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# so let's just over-compute them, but assert fail if we ever reach that amount.
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# In the future we can dynamically grow the cache, for now it's fine.
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self.rotary_seq_len = config.sequence_len * 10 # 10X over-compute should be enough, TODO make nicer?
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head_dim = config.n_embd // config.n_head
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cos, sin = self._precompute_rotary_embeddings(self.rotary_seq_len, head_dim)
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self.register_buffer("cos", cos, persistent=False) # persistent=False means it's not saved to the checkpoint
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self.register_buffer("sin", sin, persistent=False)
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def init_weights(self):
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self.apply(self._init_weights)
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# zero out classifier weights
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torch.nn.init.zeros_(self.lm_head.weight)
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# zero out c_proj weights in all blocks
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for block in self.transformer.h:
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torch.nn.init.zeros_(block.mlp.c_proj.weight)
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torch.nn.init.zeros_(block.attn.c_proj.weight)
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# init the rotary embeddings
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head_dim = self.config.n_embd // self.config.n_head
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cos, sin = self._precompute_rotary_embeddings(self.rotary_seq_len, head_dim)
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self.cos, self.sin = cos, sin
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# Cast the embeddings from fp32 to bf16: optim can tolerate it and it saves memory: both in the model and the activations
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if self.transformer.wte.weight.device.type == "cuda":
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self.transformer.wte.to(dtype=torch.bfloat16)
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def _init_weights(self, module):
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if isinstance(module, nn.Linear):
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# https://arxiv.org/pdf/2310.17813
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fan_out = module.weight.size(0)
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fan_in = module.weight.size(1)
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std = 1.0 / math.sqrt(fan_in) * min(1.0, math.sqrt(fan_out / fan_in))
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torch.nn.init.normal_(module.weight, mean=0.0, std=std)
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if module.bias is not None:
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torch.nn.init.zeros_(module.bias)
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elif isinstance(module, nn.Embedding):
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torch.nn.init.normal_(module.weight, mean=0.0, std=1.0)
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# TODO: bump base theta more, e.g. 100K is more common more recently
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def _precompute_rotary_embeddings(self, seq_len, head_dim, base=10000, device=None):
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# autodetect the device from model embeddings
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if device is None:
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device = self.transformer.wte.weight.device
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# stride the channels
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channel_range = torch.arange(0, head_dim, 2, dtype=torch.float32, device=device)
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inv_freq = 1.0 / (base ** (channel_range / head_dim))
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# stride the time steps
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t = torch.arange(seq_len, dtype=torch.float32, device=device)
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# calculate the rotation frequencies at each (time, channel) pair
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freqs = torch.outer(t, inv_freq)
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cos, sin = freqs.cos(), freqs.sin()
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cos, sin = cos.bfloat16(), sin.bfloat16() # keep them in bfloat16
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cos, sin = cos[None, :, None, :], sin[None, :, None, :] # add batch and head dims for later broadcasting
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return cos, sin
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def get_device(self):
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return self.transformer.wte.weight.device
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def estimate_flops(self):
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""" Return the estimated FLOPs per token for the model. Ref: https://arxiv.org/abs/2204.02311 """
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nparams = sum(p.numel() for p in self.parameters())
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nparams_embedding = self.transformer.wte.weight.numel()
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l, h, q, t = self.config.n_layer, self.config.n_head, self.config.n_embd // self.config.n_head, self.config.sequence_len
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num_flops_per_token = 6 * (nparams - nparams_embedding) + 12 * l * h * q * t
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return num_flops_per_token
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def setup_optimizers(self, unembedding_lr=0.004, embedding_lr=0.2, matrix_lr=0.02, weight_decay=0.0):
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model_dim = self.config.n_embd
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ddp, rank, local_rank, world_size = get_dist_info()
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# Separate out all parameters into 3 groups (matrix, embedding, lm_head)
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matrix_params = list(self.transformer.h.parameters())
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embedding_params = list(self.transformer.wte.parameters())
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lm_head_params = list(self.lm_head.parameters())
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assert len(list(self.parameters())) == len(matrix_params) + len(embedding_params) + len(lm_head_params)
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# Create the AdamW optimizer for the embedding and lm_head
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# Scale the LR for the AdamW parameters by ∝1/√dmodel (having tuned the LRs for 768 dim model)
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dmodel_lr_scale = (model_dim / 768) ** -0.5
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if rank == 0:
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print(f"Scaling the LR for the AdamW parameters ∝1/√({model_dim}/768) = {dmodel_lr_scale:.6f}")
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adam_groups = [
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dict(params=lm_head_params, lr=unembedding_lr * dmodel_lr_scale),
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dict(params=embedding_params, lr=embedding_lr * dmodel_lr_scale),
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]
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adamw_kwargs = dict(betas=(0.8, 0.95), eps=1e-10, weight_decay=weight_decay)
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AdamWFactory = DistAdamW if ddp else partial(torch.optim.AdamW, fused=True)
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adamw_optimizer = AdamWFactory(adam_groups, **adamw_kwargs)
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# Create the Muon optimizer for the linear layers
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muon_kwargs = dict(lr=matrix_lr, momentum=0.95)
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MuonFactory = DistMuon if ddp else Muon
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muon_optimizer = MuonFactory(matrix_params, **muon_kwargs)
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# Combine them the two optimizers into one list
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optimizers = [adamw_optimizer, muon_optimizer]
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for opt in optimizers:
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for group in opt.param_groups:
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group["initial_lr"] = group["lr"]
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return optimizers
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def forward(self, idx, targets=None, kv_cache=None, loss_reduction='mean'):
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B, T = idx.size()
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# Grab the rotary embeddings for the current sequence length (they are of shape (1, seq_len, 1, head_dim/2))
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assert T <= self.cos.size(1), f"Sequence length grew beyond the rotary embeddings cache: {T} > {self.cos.size(1)}"
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assert idx.device == self.cos.device, f"Rotary embeddings and idx are on different devices: {idx.device} != {self.cos.device}"
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assert self.cos.dtype == torch.bfloat16, "Rotary embeddings must be in bfloat16"
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# if kv cache exists, we need to offset the rotary embeddings to the current position in the cache
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T0 = 0 if kv_cache is None else kv_cache.get_pos()
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cos_sin = self.cos[:, T0:T0+T], self.sin[:, T0:T0+T] # truncate cache to current sequence length
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# Forward the trunk of the Transformer
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x = self.transformer.wte(idx)
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x = norm(x)
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for block in self.transformer.h:
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x = block(x, cos_sin, kv_cache)
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x = norm(x)
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# Forward the lm_head (compute logits)
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softcap = 15
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if targets is not None:
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# training mode: compute and return the loss
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# TODO: experiment with Liger Kernels / chunked cross-entropy etc.
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logits = self.lm_head(x)
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logits = logits.float() # use tf32/fp32 for logits
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logits = softcap * torch.tanh(logits / softcap) # logits softcap
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loss = F.cross_entropy(logits.view(-1, logits.size(-1)), targets.view(-1), ignore_index=-1, reduction=loss_reduction)
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return loss
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else:
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# inference mode: compute and return the logits
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logits = self.lm_head(x)
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logits = logits.float() # use tf32/fp32 for logits
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logits = softcap * torch.tanh(logits / softcap) # logits softcap
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return logits
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@torch.inference_mode()
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def generate(self, tokens, max_tokens, temperature=1.0, top_k=None, seed=42):
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"""
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Naive autoregressive streaming inference.
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To make it super simple, let's assume:
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- batch size is 1
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- ids and the yielded tokens are simple Python lists and ints
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"""
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assert isinstance(tokens, list)
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device = self.get_device()
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rng = None
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if temperature > 0:
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rng = torch.Generator(device=device)
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rng.manual_seed(seed)
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ids = torch.tensor([tokens], dtype=torch.long, device=device) # add batch dim
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for _ in range(max_tokens):
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logits = self.forward(ids) # (B, T, vocab_size)
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logits = logits[:, -1, :] # (B, vocab_size)
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if top_k is not None:
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v, _ = torch.topk(logits, min(top_k, logits.size(-1)))
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logits[logits < v[:, [-1]]] = -float('Inf')
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if temperature > 0:
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logits = logits / temperature
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probs = F.softmax(logits, dim=-1)
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next_ids = torch.multinomial(probs, num_samples=1, generator=rng)
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else:
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next_ids = torch.argmax(logits, dim=-1, keepdim=True)
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ids = torch.cat((ids, next_ids), dim=1)
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token = next_ids.item()
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yield token
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