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《Nano-vLLM 源码解读》第 18 篇 · Embedding 与 LM Head

《Nano-vLLM 源码解读》第 18 篇 · Embedding 与 LM Head

nano-vllm 用千行代码拆解 vLLM 核心,是读懂大模型推理最快的捷径。

1. 介绍

L13 给出 Qwen3 的骨架,L14 到 L17 拆解了注意力子层用到的模块:RMSNorm、RoPE、Linear 家族、注意力本体。还剩残差流的两端——开头把 token id 变成向量的 embed_tokens、结尾把 hidden 变成 logits 的 lm_head。本篇拆解这两个模块。

这两站其实是同一张 [vocab, hidden] 权重表的两个方向:embedding 拿 token id 取表的一行(输入端),lm_head 拿 hidden 跟表的每一行做内积、给每个 token 打分(输出端),找出得分最高的 token。

本篇聚焦单卡场景下的原理解释,后续介绍 embedding 和 lm_head 在多卡切分下如何计算。

2. 总览

残差流的两端分别连接了一个查表模块:开头 embed_tokens 把 token id 查成向量送进残差流,结尾 lm_head 把残差流末端的 hidden 算成全词表的分数 logits。中间是 N 层 decoder。

配置项
含义
vocab_size
151936
词表大小 = 表的行数
hidden_size
1024
隐藏维 = 表的列数 / 每个 token 的向量长度
tie_word_embeddings
True
lm_head 与 embed_tokens 共享同一张表

3. 查表的两个方向

embedding 和 lm_head 共用一张 [vocab, hidden] 的权重表,区别只在用它的方向:embedding 拿一个 token id 去取表的一行(得到这个 token 的向量),lm_head 拿一条 hidden 向量去跟表的每一行做内积(得到每个 token 的分数)。一个是「按行索引」,一个是「按行打分」,互为逆操作。

3.1 VocabParallelEmbedding:拿 id 取一行

把每个 token id 换成一条 hidden_size=1024 维向量。表是 [vocab, hidden],第 id 行就是这个 token 的向量;查表就是按行索引——F.embedding(ids, weight) 等价于 weight[ids]

打个比方:一本字典,token id 是页码,翻到那一页就是这个词的向量。

为什么需要:模型只会算浮点向量,没法直接拿整数 id 做矩阵运算;得先把离散的 id 映射成连续向量,才能进残差流。

# VocabParallelEmbedding(embed_head.py 真实源码):本质是按行查表
import torch
from torch import nn
import torch.nn.functional as F
import torch.distributed as dist

classVocabParallelEmbedding(nn.Module):
def__init__(self, num_embeddings, embedding_dim):
super().__init__()
self.tp_rank = dist.get_rank()             # 单卡 = 0
self.tp_size = dist.get_world_size()       # 单卡 = 1
assert num_embeddings % self.tp_size == 0
self.num_embeddings = num_embeddings
self.num_embeddings_per_partition = num_embeddings // self.tp_size  # 单卡=全表
self.vocab_start_idx = self.num_embeddings_per_partition * self.tp_rank  # 单卡=0
self.vocab_end_idx = self.vocab_start_idx + self.num_embeddings_per_partition
# 这张表 [行数, hidden]:embedding 与 lm_head 共享它
self.weight = nn.Parameter(
            torch.empty(self.num_embeddings_per_partition, embedding_dim))
self.weight.weight_loader = self.weight_loader 

defforward(self, x):
ifself.tp_size > 1:                       # ↓ vocab 维 TP,单卡不走
            mask = (x >= self.vocab_start_idx) & (x < self.vocab_end_idx)
            x = mask * (x - self.vocab_start_idx)
        y = F.embedding(x, self.weight)            # 单卡核心:按 id 取表的一行
ifself.tp_size > 1:                       # ↑ vocab 维 TP,单卡不走
            y = mask.unsqueeze(1) * y
            dist.all_reduce(y)
return y
import torch
import torch.nn.functional as F

# 查表 = 按行索引:造一张小表验证
weight = torch.randn(104)          # 10 个 token、每个 4 维的小词表
ids = torch.tensor([373])        # 要查的 token id(可重复)
y = F.embedding(ids, weight)         # embedding 的核心一句

print("F.embedding 等于按行取 :", torch.allclose(y, weight[ids]))  # True
print("形状 [len(ids), hidden] :"tuple(y.shape))                 # (3, 4)

# 预期:
# F.embedding 等于按行取 : True
# 形状 [len(ids), hidden] : (3, 4)
F.embedding 等于按行取 : True
形状 [len(ids), hidden] : (3, 4)

3.2 ParallelLMHead:拿 hidden 算分

残差流末端的 hidden 要变成每个 token 的分数 logits,交给采样器选下一个 token。lm_head 干这件事,方向正好和 embedding 相反。

是什么:lm_head 拿一条 hidden 向量,跟权重表的每一行做内积,得到 vocab=151936 个分数——F.linear(x, weight)。embedding 是「拿 id 取一行」,lm_head 是「拿向量跟每一行做内积」,一对逆操作。

打个比方:embedding 是查字典取词向量;lm_head 是拿一个向量去跟字典里每个词比相似度,给每个词打分。

为什么需要:要预测下一个 token,得先对整个词表打分,再交给采样器。

# ParallelLMHead(embed_head.py 真实源码):拿 hidden 跟表每行内积 + 取最后位
from nanovllm.utils.context import get_context

classParallelLMHead(VocabParallelEmbedding):     # 复用 embedding 的 weight 结构
def__init__(self, num_embeddings, embedding_dim, bias=False):
assertnot bias
super().__init__(num_embeddings, embedding_dim)

defforward(self, x):
        context = get_context()                    # 取本 step 元数据
if context.is_prefill:                     # 取最后位:只留每条序列最后一个 token
            last_indices = context.cu_seqlens_q[1:] - 1# 每条序列末位下标
            x = x[last_indices].contiguous()
        logits = F.linear(x, self.weight)          # 跟表每一行做内积 → vocab 个分数
ifself.tp_size > 1:                       # ↓ vocab 维 TP:各卡局部 logits gather 到 rank0(后文介绍)
            all_logits = [torch.empty_like(logits) for _ inrange(self.tp_size)] ifself.tp_rank == 0elseNone
            dist.gather(logits, all_logits, 0)
            logits = torch.cat(all_logits, -1ifself.tp_rank == 0elseNone
return logits
import torch

# prefill 两条序列拼在一起:A 3 个 token、B 2 个 token,共 N=5
cu_seqlens_q = torch.tensor([035])         # 累加边界(L11 算好)
last_indices = cu_seqlens_q[1:] - 1# 每条序列最后一位的下标
print("last_indices :", last_indices.tolist())  # [2, 4]

hidden = torch.randn(51024)                   # 5 个 token 的 hidden
picked = hidden[last_indices]                   # 只留位置 2、4
print("N 个 token 塌成 num_seqs :",
tuple(hidden.shape), "->"tuple(picked.shape))   # (5, 1024) -> (2, 1024)

# 预期:
# last_indices : [2, 4]
# N 个 token 塌成 num_seqs : (5, 1024) -> (2, 1024)
last_indices : [2, 4]
N 个 token 塌成 num_seqs : (5, 1024) -> (2, 1024)

4. 共享同一张表

前面说 embedding 和 lm_head 是一张表的两个方向。其实两者的 weight 指向的是同一块存储。

打个比方:进门查的字典和出门打分用的字典,是书架上同一本书,不是两本。

为什么需要:输入查表和输出打分本就是一张表的两个方向(取一行 vs 跟每行做内积),共享既省一整份参数、又让「token → 向量 → token」语义一致。

解决了什么vocab 151936 × hidden 1024 是张巨表,共享省掉整整一份参数(对 0.6B 这种小模型 embedding 占比很大);加载时也只需 safetensors 里的一份 embed_tokens.weight

怎么解决__init__ 先建好两个模块、把 lm_head.weight 指到 embed 的 data;加载权重时,safetensors 里只有一份 model.embed_tokens.weightcopy_ 进这块共享存储后,lm_head 同时也就位了。

# 源码摘录
if config.tie_word_embeddings:                        # Qwen3-0.6B 为 True
self.lm_head.weight.data = self.model.embed_tokens.weight.data  # 指向同一块存储

5. 集成验证

加载真实 Qwen3-0.6B 的 embed_tokens 与 lm_head,验证本篇三件事:① embedding 查表就是按行索引、② lm_head 在 prefill 时只取每条序列最后一位算 logits、③ tie weights 让两者共享同一块存储。

import torch
import torch.distributed as dist
import torch.nn.functional as F
from modelscope import snapshot_download
from nanovllm.config import Config
from nanovllm.utils.context import set_context, reset_context

from nanovllm.engine.model_runner import ModelRunner

torch.cuda.set_device(0)

model_path = snapshot_download("Qwen/Qwen3-0.6B")
config = Config(model_path, enforce_eager=True, max_model_len=4096)
runner = ModelRunner(config, 0, [])
model = runner.model                          # Qwen3ForCausalLM(权重 bf16)
embed = model.model.embed_tokens              # VocabParallelEmbedding
head = model.lm_head                          # ParallelLMHead
print("vocab / hidden :"tuple(embed.weight.shape))   # (151936, 1024)
Downloading Model from https://www.modelscope.cn to directory: /root/.cache/modelscope/hub/models/Qwen/Qwen3-0.6B


2026-06-11 16:29:23,987 - modelscope - INFO - Target directory already exists, skipping creation.


vocab / hidden : (151936, 1024)
# ① embedding 查表 = 按行索引(真实词表)
ids = torch.tensor([100200300], device="cuda")
with torch.inference_mode():
    y = embed(ids)                              # [3, 1024]
print("embed 查表 = 按行取 :",
      torch.allclose(y, embed.weight[ids]))     # True
print("形状 :"tuple(y.shape))                  # (3, 1024)

# ③ tie weights:lm_head 与 embed 指向同一块存储
print("共享同一张表 :",
      head.weight.data_ptr() == embed.weight.data_ptr())   # True

# 预期:
# embed 查表 = 按行取 : True
# 形状 : (3, 1024)
# 共享同一张表 : True
embed 查表 = 按行取 : True
形状 : (3, 1024)
共享同一张表 : True
# ② lm_head 取最后位:构造 2 条序列的 hidden,走 prefill context
# 这不是真实前向(没跑中间层),只验证取最后位的选行与形状塌缩。
hidden = torch.randn(51024, device="cuda", dtype=embed.weight.dtype)  # 假 hidden
cu = torch.tensor([035], device="cuda", dtype=torch.int32)          # A 3 + B 2 = 5
set_context(is_prefill=True, cu_seqlens_q=cu)

with torch.inference_mode():
    logits = head(hidden)                       # 内部按 last_indices 切最后位再 F.linear
print("logits 形状塌成 num_seqs :"tuple(logits.shape))   # (2, 151936)

last_indices = (cu[1:] - 1).tolist()            # [2, 4]
with torch.inference_mode():
    expect = F.linear(hidden[last_indices], head.weight)
print("取最后位选行正确 :", torch.allclose(logits, expect))   # True

reset_context()

# 预期:
# logits 形状塌成 num_seqs : (2, 151936)
# 取最后位选行正确 : True
logits 形状塌成 num_seqs : (2, 151936)
取最后位选行正确 : True

6. 小结

残差流的首尾两端:开头 embed_tokens 拿 token id 查表取一行(输入端),结尾 lm_head 拿 hidden 跟同一张表每行做内积打分(输出端)。两者互为逆操作,tie_word_embeddings 让它们共享同一张 [vocab, hidden] 表。

一个要点:prefill 时 lm_head 用 cu_seqlens_q[1:]-1 只取每条序列最后一位算 logits——生成只看下一个 token,对全部位置算 × 151936 是白费;logits 形状因此从 [N 个 token, vocab] 变成 [序列条数, vocab],正好喂采样器。

下一篇讲解 decoder 层里剩下的 MLP:gate_up_proj 合并投影 → SiluAndMul → down_proj,也就是合并的 SwiGLU。

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  1. CONNECT:[ UseTime:0.000939s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001616s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000706s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000552s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001119s ]
  6. SELECT * FROM `set` [ RunTime:0.000475s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000990s ]
  8. SELECT * FROM `article` WHERE `id` = 740927 LIMIT 1 [ RunTime:0.000600s ]
  9. UPDATE `article` SET `lasttime` = 1781246295 WHERE `id` = 740927 [ RunTime:0.002515s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000242s ]
  11. SELECT * FROM `article` WHERE `id` < 740927 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000448s ]
  12. SELECT * FROM `article` WHERE `id` > 740927 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000410s ]
  13. SELECT * FROM `article` WHERE `id` < 740927 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000598s ]
  14. SELECT * FROM `article` WHERE `id` < 740927 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000852s ]
  15. SELECT * FROM `article` WHERE `id` < 740927 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002324s ]
0.098526s