From 48841152a131b81ba480b5245a88f5d88255481b Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 11:30:41 +1000 Subject: [PATCH 01/11] add MoE notes folder with images --- .../ai/MoE/MOE\346\265\205\350\260\210.md" | 132 ++++++++++++++++++ .../IMG-20250920112106486.png" | Bin 0 -> 124248 bytes .../IMG-20250920112106518.png" | Bin 0 -> 30262 bytes .../IMG-20250920112106554.png" | Bin 0 -> 73471 bytes .../IMG-20250920112106588.png" | Bin 0 -> 78212 bytes 5 files changed, 132 insertions(+) create mode 100644 "app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" create mode 100644 "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106486.png" create mode 100644 "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106518.png" create mode 100644 "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106554.png" create mode 100644 "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106588.png" diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" new file mode 100644 index 00000000..8954df61 --- /dev/null +++ "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" @@ -0,0 +1,132 @@ +# 混合专家(Mixture of Experts, MoE)架构 + +为了在不显著增加计算需求的情况下有效扩展模型参数规模,MoE 架构已经成为一种可行的解决方案。MoE 利用一组专门化的子模型和一个门控机制,动态地选择合适的“专家网络”来处理给定输入。这使得模型能够根据需求分配计算资源,这一概念被称为 **条件计算(conditional computation)**。 + +MoE 架构已经被广泛应用到大语言模型(LLMs)中,使这些模型能够在参数规模显著扩大的同时,获得相应的能力提升。 +例如,Mixtral AI 提出的 **Mixtral-8x7B** 管实际激活的参数量仅有 130 亿,**在多个基准测试上表现优于或相当于 Llama-2-70B 和 GPT-3.5**。 + +--- + +## 传统 MoE 架构 + +自 MoE 最早被引入 Transformer 架构以来,MoE 主要作为 **前馈网络 (FFN)** 的替代模块使用。通常情况下,MoE 层中的每个专家都直接复制了其所替换的 FFN 结构。然后配备有一个 Router 来训练具体交给哪个专家处理。 + +![[IMG-20250920112106486.png]] + +MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: + +- **注意力层**:稀疏性较低,更适用于全局交互。 +- **FFN 层**:稀疏性较高,更具有领域特性。 + 其中DS-MoE 使用 Wikitext 作为任务时,发现:FFN 层的专家仅有 **20%** 被激活 + 而注意力层激活率高达 **80%** 。这种高利用率表明注意力层的核心通讯机制不适用于特异化的专家。 反之具有稀疏特性的FFN层,具有完整多专家特异化的潜力。 + +![[IMG-20250920112106518.png]] + +--- + +## Routing 机制:Dense MoE 与 Sparse MoE + +![[IMG-20250920112106554.png]] + +- **Dense MoE** + - gate 对于输入 token 使用 **softmax** 路由机制,传递给每个专家一定权重。 + - 优点:训练稳定。 + - 缺点:每次都要计算所有专家,计算成本高。 + +- **Sparse MoE** + - 使用 **Top-K** 路由机制,仅激活前 K 个权重最大的专家。 + - 优点:极大减少计算量,这是目前主流模型(如 GShard、Switch Transformer、Mixtral、DeepSeek-MoE)的策略。 + - 缺点:Router 训练变复杂,容易出现「热门专家被频繁使用,冷门专家学不到东西」的问题 → **路由坍塌**。 + - 解决办法:训练中需要引入额外的 **负载均衡损失**。 + +--- + +## 专家个数选择 + +**GLaM (Google, 2021)** 在实验中探索了不同专家数量与 gating 策略的组合: +发现 **64 个专家(per layer)+ Top-2 gating** 在性能和计算效率之间达到了最佳平衡。 +Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专家的配置在 **zero-shot、one-shot、few-shot** 场景下均表现优异。 所以后续的很多 MoE 工作(如 Mixtral, DBRX, DeepSeekMoE)也基本采用 ≤64 专家的规模,这个设计在实际应用中也具有参考价值。 + +--- + +## MoE 与 PEFT + +近期仍有不少工作专注于 PEFT(参数高效微调)。 +论文 [_Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuning_](https://arxiv.org/abs/2309.05444) 首次提出将 **LoRA 类型的 PEFT 方法和 MoE 框架结合**。 +其主要理念为,不直接在整个大模型上加 LoRA,而是专门在 MoE 的 expert 模块里应用 LoRA。 因为MoE 的每个专家就是 FFN(MLP),它们是知识写入的关键位置。 这样每次只动一小部分lora experts。并且大大增强了这种架构的易扩展性。 + +![[IMG-20250920112106588.png]] + +该方法的核心思想是利用 **低秩近似更新** 来避免高级算力的微调。 + +1. **输入 (Input → Embedding)** + - 输入 token(字或子词)先经过 Embedding。 + - 这部分和普通 Transformer 一样。 + +2. **Multi-Head Attention** + - 输入 embedding 进入多头注意力模块。 + - 在这里,Q、K、V 一切正常,完全没被 LoRAMoE 改动。 + - 输出再走 **Add & Norm**,结果传给 FFN。 + +3. **FFN → MoE (Expert 路由)** + - 普通 Transformer 的 FFN 被换成 **LoRA + MoE 专家网络**。 + - Router 根据输入选择若干专家,每个专家是 **LoRA 化(低秩适配)的模块**,而不是全量可训练的 FFN。 + - 冻结的部分(❄️)是预训练的大模型主干。 + - 火花(🔥)表示 LoRA Adapter(可训练参数,低秩矩阵)。 + - Router 输出的加权组合: + + \[ + y = \sum_i \alpha_i \cdot Expert_i(x) + \] + + 其中 \(\alpha_i\) 是 Router 根据输入算出来的权重。 + +4. **输出 (Add & Norm → Residual)** + - Router 混合后的专家输出,和残差连接一起进入 Add & Norm,继续往后层传。 + +--- + +#### LoRA 拆解 + +LoRA(Low-Rank Adaptation)的核心思想: + +对一个大的线性层权重 \(W \in \mathbb{R}^{d*{out} \times d*{in}}\),不去训练整个矩阵,而是加上一个低秩近似更新: + +\[ +W' = W + \Delta W, \quad \Delta W = BA +\] + +- \(A \in \mathbb{R}^{r \times d*{in}}, B \in \mathbb{R}^{d*{out} \times r}\) +- 秩 \(r \ll d*{in}, d*{out}\),通常只取个位数到几十 +- \(W\):冻结(❄️,预训练参数) +- \(A, B\):可训练(🔥,参数量大幅减少) + +这样,一个输入向量 \(x\) 经过 LoRA 线性层时: + +\[ +Wx + BAx +\] + +等于 **原始主干输出 + 一个小的低秩修正**。 + +回到该图,我们可以发现每个专家 \(Expert_i\) 不是全新的大 FFN,而是 **一个 FFN 的 LoRA adapter 组合**: + +\[ +Expert_i(x) = B_i A_i x +\] + +- Router 对输入 hidden state 计算一个分布 \(\alpha\),然后加权组合: + +\[ +y = \sum_i \alpha_i \cdot Expert_i(x) +\] + +- 最终结果再加上主干(冻结的 FFN 权重输出): + +\[ +y*{final} = W*{FFN}x + \sum_i \alpha_i \cdot B_i A_i x +\] + +作者:**Yang Lewis** +非商业转载请标明出处。 +商业转载请联系作者:**840691168ly@gmail.com** diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106486.png" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106486.png" new file mode 100644 index 0000000000000000000000000000000000000000..140bd2fd345b9e9cebdb6fbfc0d4b3856d66c0cd GIT binary patch literal 124248 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zbJSu?Qt#}Dsw1i~>`p6OZp_WZ7eVlfs4q{q#{GP6TZ^V=5chBUNvF_CA0{q^veY0bFR+uc{3ynA#?@+e5Yw=t*RW^3MxEg@nof6#JxksYfR*j&|{ zSs;f&yO^fE+QCq_{Zzdz`n;8)qsamU@#QO@n7t@Ys-$ z{R)1lr{`&eTp#zZj9f#?K&t2`HL?2sC3w zlpr}bh9;l^xEe3Er-EPl1Jnig@*H=6|5(%LMca?7#va8=Yku#(Abi_%+)T>M`=Vg_ zVmjNJoUcF{+rgluT6W`*RvmvwxUwVS3)XQND zBmQ$2Z#P@T$fT0%^f5hAf1WUsB~-OBt^=(b1%;8Ta*G8xp-=cr4H%+KJI%}a=hrtd z7n1(Vb4}5#0BaJ7LWWch(o*fLvV#*=tdwu8!;JU-NoQ7$*Fh5gpsu0)43b=k1~~BI zQ&W|#t=azLfq0km;C^%mz2vuN;jX}X8KDIH1eGUFnfOo>3lNdX%;Zq1pQ2O-Ev*=A z2>K*1qkSV_#vvJqo#cbF6yrM7y*4U9bsMz7ArjQgK-=`cJB#7)p`;{fjCzks7H`US zl)_!GeOFFIb(1xi{wpvAd#}*7a*cBJ6VTO8lqX!l`tImR2bfaB%gB^GtSj*&+ew>J zRr4@I{y!T{fpu{xL9`i37Qai>&*Zx>gBuNwrFkBZC(yGmh!1By%HTV z`H0vXc#JU`Y*_EbtxOSE@~lHg2QoBbyOPB9L?9**xRHVPxXJ(kFQhkuF Date: Sat, 20 Sep 2025 11:41:03 +1000 Subject: [PATCH 02/11] add MoE notes folder with images2 --- .../IMG-20250920112106486.png" | Bin .../IMG-20250920112106518.png" | Bin .../IMG-20250920112106554.png" | Bin .../IMG-20250920112106588.png" | Bin "app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" | 8 ++++---- 5 files changed, 4 insertions(+), 4 deletions(-) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106486.png" => "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106486.png" (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106518.png" => "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106518.png" (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106554.png" => "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106554.png" (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106588.png" => "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106588.png" (100%) diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106486.png" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106486.png" similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106486.png" rename to "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106486.png" diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106518.png" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106518.png" similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106518.png" rename to "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106518.png" diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106554.png" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106554.png" similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106554.png" rename to "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106554.png" diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106588.png" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106588.png" similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210/IMG-20250920112106588.png" rename to "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106588.png" diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" index 8954df61..243891d4 100644 --- "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" +++ "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" @@ -11,7 +11,7 @@ MoE 架构已经被广泛应用到大语言模型(LLMs)中,使这些模型 自 MoE 最早被引入 Transformer 架构以来,MoE 主要作为 **前馈网络 (FFN)** 的替代模块使用。通常情况下,MoE 层中的每个专家都直接复制了其所替换的 FFN 结构。然后配备有一个 Router 来训练具体交给哪个专家处理。 -![[IMG-20250920112106486.png]] +![[./MOE浅谈.assets/IMG-20250920112106486.png]] MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: @@ -20,13 +20,13 @@ MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: 其中DS-MoE 使用 Wikitext 作为任务时,发现:FFN 层的专家仅有 **20%** 被激活 而注意力层激活率高达 **80%** 。这种高利用率表明注意力层的核心通讯机制不适用于特异化的专家。 反之具有稀疏特性的FFN层,具有完整多专家特异化的潜力。 -![[IMG-20250920112106518.png]] +![[./MOE浅谈.assets/IMG-20250920112106518.png]] --- ## Routing 机制:Dense MoE 与 Sparse MoE -![[IMG-20250920112106554.png]] +![[./MOE浅谈.assets/IMG-20250920112106554.png]] - **Dense MoE** - gate 对于输入 token 使用 **softmax** 路由机制,传递给每个专家一定权重。 @@ -55,7 +55,7 @@ Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专 论文 [_Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuning_](https://arxiv.org/abs/2309.05444) 首次提出将 **LoRA 类型的 PEFT 方法和 MoE 框架结合**。 其主要理念为,不直接在整个大模型上加 LoRA,而是专门在 MoE 的 expert 模块里应用 LoRA。 因为MoE 的每个专家就是 FFN(MLP),它们是知识写入的关键位置。 这样每次只动一小部分lora experts。并且大大增强了这种架构的易扩展性。 -![[IMG-20250920112106588.png]] +![[./MOE浅谈.assets/IMG-20250920112106588.png]] 该方法的核心思想是利用 **低秩近似更新** 来避免高级算力的微调。 From 51b3317c3dc7bfa37f2fd5a31345654fcad51e6f Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 11:48:40 +1000 Subject: [PATCH 03/11] add MoE notes folder with images4 --- "app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" index 243891d4..330590c4 100644 --- "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" +++ "b/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" @@ -11,7 +11,7 @@ MoE 架构已经被广泛应用到大语言模型(LLMs)中,使这些模型 自 MoE 最早被引入 Transformer 架构以来,MoE 主要作为 **前馈网络 (FFN)** 的替代模块使用。通常情况下,MoE 层中的每个专家都直接复制了其所替换的 FFN 结构。然后配备有一个 Router 来训练具体交给哪个专家处理。 -![[./MOE浅谈.assets/IMG-20250920112106486.png]] +![](./MOE浅谈.assets/img-20250920112106486.png) MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: @@ -20,13 +20,13 @@ MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: 其中DS-MoE 使用 Wikitext 作为任务时,发现:FFN 层的专家仅有 **20%** 被激活 而注意力层激活率高达 **80%** 。这种高利用率表明注意力层的核心通讯机制不适用于特异化的专家。 反之具有稀疏特性的FFN层,具有完整多专家特异化的潜力。 -![[./MOE浅谈.assets/IMG-20250920112106518.png]] +![](./MOE浅谈.assets/img-20250920112106518.png) --- ## Routing 机制:Dense MoE 与 Sparse MoE -![[./MOE浅谈.assets/IMG-20250920112106554.png]] +![](./MOE浅谈.assets/img-20250920112106554.png) - **Dense MoE** - gate 对于输入 token 使用 **softmax** 路由机制,传递给每个专家一定权重。 @@ -55,7 +55,7 @@ Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专 论文 [_Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuning_](https://arxiv.org/abs/2309.05444) 首次提出将 **LoRA 类型的 PEFT 方法和 MoE 框架结合**。 其主要理念为,不直接在整个大模型上加 LoRA,而是专门在 MoE 的 expert 模块里应用 LoRA。 因为MoE 的每个专家就是 FFN(MLP),它们是知识写入的关键位置。 这样每次只动一小部分lora experts。并且大大增强了这种架构的易扩展性。 -![[./MOE浅谈.assets/IMG-20250920112106588.png]] +![](./MOE浅谈.assets/img-20250920112106588.png) 该方法的核心思想是利用 **低秩近似更新** 来避免高级算力的微调。 From dafca3f1f40c469f66c322dfebbb5fedd61ff56b Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 11:54:27 +1000 Subject: [PATCH 04/11] add MoE notes folder with images5 --- .../MoE/MOE-intro.assets/img-20250920112106486.png | Bin .../MoE/MOE-intro.assets/img-20250920112106518.png | Bin .../MoE/MOE-intro.assets/img-20250920112106554.png | Bin .../MoE/MOE-intro.assets/img-20250920112106588.png | Bin .../docs/ai/MoE/MOE-intro.md | 8 ++++---- 5 files changed, 4 insertions(+), 4 deletions(-) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106486.png" => app/docs/ai/MoE/MOE-intro.assets/img-20250920112106486.png (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106518.png" => app/docs/ai/MoE/MOE-intro.assets/img-20250920112106518.png (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106554.png" => app/docs/ai/MoE/MOE-intro.assets/img-20250920112106554.png (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106588.png" => app/docs/ai/MoE/MOE-intro.assets/img-20250920112106588.png (100%) rename "app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" => app/docs/ai/MoE/MOE-intro.md (96%) diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106486.png" b/app/docs/ai/MoE/MOE-intro.assets/img-20250920112106486.png similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106486.png" rename to app/docs/ai/MoE/MOE-intro.assets/img-20250920112106486.png diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106518.png" b/app/docs/ai/MoE/MOE-intro.assets/img-20250920112106518.png similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106518.png" rename to app/docs/ai/MoE/MOE-intro.assets/img-20250920112106518.png diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106554.png" b/app/docs/ai/MoE/MOE-intro.assets/img-20250920112106554.png similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106554.png" rename to app/docs/ai/MoE/MOE-intro.assets/img-20250920112106554.png diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106588.png" b/app/docs/ai/MoE/MOE-intro.assets/img-20250920112106588.png similarity index 100% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210.assets/IMG-20250920112106588.png" rename to app/docs/ai/MoE/MOE-intro.assets/img-20250920112106588.png diff --git "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" b/app/docs/ai/MoE/MOE-intro.md similarity index 96% rename from "app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" rename to app/docs/ai/MoE/MOE-intro.md index 330590c4..292ca22b 100644 --- "a/app/docs/ai/MoE/MOE\346\265\205\350\260\210.md" +++ b/app/docs/ai/MoE/MOE-intro.md @@ -11,7 +11,7 @@ MoE 架构已经被广泛应用到大语言模型(LLMs)中,使这些模型 自 MoE 最早被引入 Transformer 架构以来,MoE 主要作为 **前馈网络 (FFN)** 的替代模块使用。通常情况下,MoE 层中的每个专家都直接复制了其所替换的 FFN 结构。然后配备有一个 Router 来训练具体交给哪个专家处理。 -![](./MOE浅谈.assets/img-20250920112106486.png) +![](./MOE-intro.assets/img-20250920112106486.png) MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: @@ -20,13 +20,13 @@ MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: 其中DS-MoE 使用 Wikitext 作为任务时,发现:FFN 层的专家仅有 **20%** 被激活 而注意力层激活率高达 **80%** 。这种高利用率表明注意力层的核心通讯机制不适用于特异化的专家。 反之具有稀疏特性的FFN层,具有完整多专家特异化的潜力。 -![](./MOE浅谈.assets/img-20250920112106518.png) +![](./MOE-intro.assets/img-20250920112106518.png) --- ## Routing 机制:Dense MoE 与 Sparse MoE -![](./MOE浅谈.assets/img-20250920112106554.png) +![](./MOE-intro.assets/img-20250920112106554.png) - **Dense MoE** - gate 对于输入 token 使用 **softmax** 路由机制,传递给每个专家一定权重。 @@ -55,7 +55,7 @@ Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专 论文 [_Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuning_](https://arxiv.org/abs/2309.05444) 首次提出将 **LoRA 类型的 PEFT 方法和 MoE 框架结合**。 其主要理念为,不直接在整个大模型上加 LoRA,而是专门在 MoE 的 expert 模块里应用 LoRA。 因为MoE 的每个专家就是 FFN(MLP),它们是知识写入的关键位置。 这样每次只动一小部分lora experts。并且大大增强了这种架构的易扩展性。 -![](./MOE浅谈.assets/img-20250920112106588.png) +![](./MOE-intro.assets/img-20250920112106588.png) 该方法的核心思想是利用 **低秩近似更新** 来避免高级算力的微调。 From fe6c6b299b1e00118c9ac8065540c24197dfba2a Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 11:59:25 +1000 Subject: [PATCH 05/11] add MoE notes folder with images5 --- app/docs/ai/MoE/MOE-intro.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/app/docs/ai/MoE/MOE-intro.md b/app/docs/ai/MoE/MOE-intro.md index 292ca22b..b1c34fc1 100644 --- a/app/docs/ai/MoE/MOE-intro.md +++ b/app/docs/ai/MoE/MOE-intro.md @@ -1,3 +1,7 @@ +--- +title: MOE 浅谈 +--- + # 混合专家(Mixture of Experts, MoE)架构 为了在不显著增加计算需求的情况下有效扩展模型参数规模,MoE 架构已经成为一种可行的解决方案。MoE 利用一组专门化的子模型和一个门控机制,动态地选择合适的“专家网络”来处理给定输入。这使得模型能够根据需求分配计算资源,这一概念被称为 **条件计算(conditional computation)**。 From e6821cf3e0f13e89a12b75f8fc09c34fd7b8d70c Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 12:01:47 +1000 Subject: [PATCH 06/11] add MoE notes folder with images5 --- app/docs/ai/MoE/MOE-intro.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/app/docs/ai/MoE/MOE-intro.md b/app/docs/ai/MoE/MOE-intro.md index b1c34fc1..b8c3dff1 100644 --- a/app/docs/ai/MoE/MOE-intro.md +++ b/app/docs/ai/MoE/MOE-intro.md @@ -1,5 +1,7 @@ --- -title: MOE 浅谈 +title: "MOE 浅谈" +description: "混合专家(Mixture of Experts, MoE)架构的简要介绍" +tags: ["MoE", "AI"] --- # 混合专家(Mixture of Experts, MoE)架构 From 40e20632b66202142c0f9a51c1472a6248361e5d Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 12:32:41 +1000 Subject: [PATCH 07/11] add Cuda memory demand docs --- .../model-compuational-resource-demand.md | 193 ++++++++++++++++++ 1 file changed, 193 insertions(+) create mode 100644 app/docs/ai/compute-platforms/model-compuational-resource-demand.md diff --git a/app/docs/ai/compute-platforms/model-compuational-resource-demand.md b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md new file mode 100644 index 00000000..1dcdc3e6 --- /dev/null +++ b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md @@ -0,0 +1,193 @@ +--- +title: "算力平台" +description: "如何计算训练大模型所需显存大小" +date: "2025-09-20" +tags: + - compute-platforms +--- + +# 大模型多卡训练笔记 + +## 1. 单位说明 + +1 GB = 1024 MB = 1024×1024 KB = 1024×1024×1024 Byte(字节) = 1024×1024×1024×8 Bit + +**参数类型与大小:** + +| 参数类型 | 字节数 (Byte) | +| ----------- | ------------- | +| FP32 | 4 | +| FP16 / BF16 | 2 | +| INT8 | 1 | +| INT4 | 0.5 | + +--- + +## 2. 大模型训练显存计算 + +单卡哪怕有 80 GB 显存,也扛不住数十亿、上百亿参数的大模型全量训练。 +权重只是一部分,梯度、优化器状态、激活都需要显存。 + +假设模型有 **N 参数量**(例如 2B = 20 亿): + +1. **权重 W** + - 存储方式:BF16 (2 Byte) + - 显存:$W = N × 2$ Byte + - 例:2B 参数 → ≈ 4 GB + +2. **梯度 G** + - 存储方式:BF16 (2 Byte) + - 显存:$G = N × 2$ Byte + - 例:2B 参数 → ≈ 4 GB + +3. **优化器状态(Adam)** + - 包含动量项 V、平方梯度 S,各自 FP32 (4 Byte) + - 每份 ≈ 8 GB,合计 ≈ 16 GB + 其中:优化器显存还需要的开销(权重梯度在训练中可能会复制很多份儿) + 1. **权重 W** + - 模型本身的参数,BF16/FP16 存 2 Byte。 + + 2. **梯度 G** + - 反向传播临时存储,BF16/FP16 2 Byte。 + + 3. **优化器状态**(不同优化器差别大): + - **SGD**:通常只需要梯度本身,**0份复制**。 + - **SGDM(带动量的 SGD)**:需要一个动量向量(FP32,4 Byte)。**一份复制** + - **Adam/AdamW**: + - **一阶动量 (V)**:FP32(4 Byte)。 + - **二阶动量 (S)**:FP32(4 Byte)。 + - 所以是 **2 份状态**。 + + 4. **Master 权重 ($W^A$)** + - 混合精度训练时常见:虽然前向/反向用 BF16,但优化器更新需要 FP32 精度 → 所以再存一份 FP32 权重。 + +4. **Activations** + - 依赖 batch size、seq_len、实现细节 + - 粗略估计:≈ 0.7–1.0 × 权重大小 + +--- + +## 3. 公式总表 + +- **普通 Adam 模式:** + + $W + G + W^A + V + S + 0.7W ≈ 24.8$ GB (以 2B 参数为例) + +- **DeepSpeed ZeRO-3 模式:** + + $W + G + W^A + G^A + V + S + 0.7W ≈ 32.8$ GB + +说明:ZeRO-3 显存更省,但通信和 I/O 开销更大。 + +--- + +## 4. 实际案例:Mixtral-8×7B + +### 设定与常数 + +- 架构:`d_model ≈ 4096`,`ffn_dim ≈ 14336`,每层 **8 个专家**,**32 层**,SwiGLU(gate/up/down 三个线性层)。 +- 单个专家参数量: + $4096×14336×2 + 14336×4096 = 176,160,768$ ≈ **1.76×10^8** + → BF16 权重 ≈ **352 MB/专家**。 +- 一层 8 专家 ≈ **2.82 GB/层** +- 32 层合计 ≈ **90 GB(仅专家权重)** + → 全专家全参训练在 **44 GB 显存**上不可能。 + +--- + +### 案例 A:Router-only + +- 路由器参数:`d_model × n_experts ≈ 4k × 8 = 32k` +- 全 32 层 ≈ **百万级参数** +- 开销极小(MB 级),显存主要花在 **激活** +- 在 44 GB 上完全可行,但改进有限 + +--- + +### 案例 B:部分层 × 部分专家 + +例:只训底部 **6 层**,每层 **2 专家**,同时训路由。 + +- 可训练参数数: + $6 × 2 × 176,160,768 = 2.114B$ +- 权重(BF16):≈ 4.23 GB +- 梯度(BF16):≈ 4.23 GB +- Adam 状态(V+S,FP32):≈ 16.9 GB +- Master 权重(FP32):≈ 8.46 GB +- **合计(持久内存 + 梯度)**:≈ 33.8 GB +- 再加冻结权重占位、激活开销,44 GB 卡上需: + - `batch=1–2` + - `seq_len ≤ 1024` + - `use_cache=False` + - `gradient_checkpointing=True` +- 可行,但需要严格控制。 + +--- + +### 案例 C:4-bit 全模型 + LoRA + +在专家 / 路由上挂 LoRA(r=16)。 + +- 单专家 LoRA 参数: + $r × (4096+14336 + 4096+14336 + 14336+4096) = r × 55296$ + → r=16 → 0.885M/专家 +- 每层 8 专家:7.08M +- 32 层:226.6M LoRA 参数 +- 显存开销: + - 权重 ≈ 0.45 GB + - 梯度 ≈ 0.45 GB + - Adam + Master ≈ 2.72 GB + - 合计 ≈ 3.6 GB +- 远低于 44 GB 显存 + +--- + +## 5. 并行方式 + +### 数据并行 (DP) + +- 各 GPU 拷贝全模型,喂不同 batch,梯度汇总 +- 优点:简单 +- 缺点:显存浪费大 + +### 分布式数据并行 (DDP) + +- 一卡一进程,梯度分桶同步 +- 优点:主流、稳定 +- 缺点:依然每卡全模型 + +### ZeRO 优化 (DeepSpeed) + +- ZeRO-1:拆优化器状态 +- ZeRO-2:再拆梯度 +- ZeRO-3:连参数也拆 +- 优点:显存省 +- 缺点:通信复杂 + +### 模型并行 + +- **张量并行 (TP)**:矩阵切块 +- **流水并行 (PP)**:层切片,像传送带 +- **MoE 并行**:专家分散在不同卡,token 激活部分专家 + +--- + +## 6. 踩坑经验 + +- 显存碎片化: + `PYTORCH_CUDA_ALLOC_CONF=expandable_segments:True` + (需在 `import torch` 前设置) +- 通信库: + NCCL > Gloo > MPI(除非特殊环境) +- DDP:必须同步 random seed +- eval: + - eval_mb_size 可大 + - 训练 batch 小 + 梯度累积 + - 关掉 `model.config.use_cache` +- device = "auto": HF 会自动根据你机器的显存大小,把模型的不同部分切片分布,对于大模型,比如 7B,在单卡 44 GB 上:通常 attention + embedding + 部分 FFN 会放 GPU,冻结的模块、或者用不到的专家 (MoE inactive experts) 可以被放到 CPU。这个参数对推理来说自动分配还是很好的,但是训练的话**需要梯度的参数**必须常驻 GPU,否则每次 forward/backward 都要把参数搬上来,通信成本爆炸。所以,**device_map=auto 对训练不总是安全**,因为它可能把你要训练的层塞到 CPU 去,导致速度慢甚至无法训练。 + +--- + +作者:**Yang Lewis** +非商业转载请标明出处。 +商业转载请联系作者:**840691168ly@gmail.com** From 70852c6b1449a498700708580f8fc89cb177aa37 Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 12:33:44 +1000 Subject: [PATCH 08/11] add Cuda memory demand docs --- .../ai/compute-platforms/model-compuational-resource-demand.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/app/docs/ai/compute-platforms/model-compuational-resource-demand.md b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md index 1dcdc3e6..83f231f2 100644 --- a/app/docs/ai/compute-platforms/model-compuational-resource-demand.md +++ b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md @@ -1,5 +1,5 @@ --- -title: "算力平台" +title: "算力需求指南" description: "如何计算训练大模型所需显存大小" date: "2025-09-20" tags: From 0e32881b38b28cfeb031f9af187df3b64957f42f Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 12:36:02 +1000 Subject: [PATCH 09/11] add Cuda memory demand docs --- app/docs/ai/MoE/{MOE-intro.md => MOE-intro.mdx} | 0 ...-resource-demand.md => model-compuational-resource-demand.mdx} | 0 2 files changed, 0 insertions(+), 0 deletions(-) rename app/docs/ai/MoE/{MOE-intro.md => MOE-intro.mdx} (100%) rename app/docs/ai/compute-platforms/{model-compuational-resource-demand.md => model-compuational-resource-demand.mdx} (100%) diff --git a/app/docs/ai/MoE/MOE-intro.md b/app/docs/ai/MoE/MOE-intro.mdx similarity index 100% rename from app/docs/ai/MoE/MOE-intro.md rename to app/docs/ai/MoE/MOE-intro.mdx diff --git a/app/docs/ai/compute-platforms/model-compuational-resource-demand.md b/app/docs/ai/compute-platforms/model-compuational-resource-demand.mdx similarity index 100% rename from app/docs/ai/compute-platforms/model-compuational-resource-demand.md rename to app/docs/ai/compute-platforms/model-compuational-resource-demand.mdx From 8c690d433c24077267aaeeb8fb748ecd4bbf17c4 Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 22:52:46 +1000 Subject: [PATCH 10/11] add Cuda memory demand docs --- .../ai/MoE/{MOE-intro.mdx => MOE-intro.md} | 54 ++++++++++--------- ... => model-compuational-resource-demand.md} | 0 2 files changed, 28 insertions(+), 26 deletions(-) rename app/docs/ai/MoE/{MOE-intro.mdx => MOE-intro.md} (75%) rename app/docs/ai/compute-platforms/{model-compuational-resource-demand.mdx => model-compuational-resource-demand.md} (100%) diff --git a/app/docs/ai/MoE/MOE-intro.mdx b/app/docs/ai/MoE/MOE-intro.md similarity index 75% rename from app/docs/ai/MoE/MOE-intro.mdx rename to app/docs/ai/MoE/MOE-intro.md index b8c3dff1..0d04e213 100644 --- a/app/docs/ai/MoE/MOE-intro.mdx +++ b/app/docs/ai/MoE/MOE-intro.md @@ -23,8 +23,8 @@ MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: - **注意力层**:稀疏性较低,更适用于全局交互。 - **FFN 层**:稀疏性较高,更具有领域特性。 - 其中DS-MoE 使用 Wikitext 作为任务时,发现:FFN 层的专家仅有 **20%** 被激活 - 而注意力层激活率高达 **80%** 。这种高利用率表明注意力层的核心通讯机制不适用于特异化的专家。 反之具有稀疏特性的FFN层,具有完整多专家特异化的潜力。 + 其中 DS-MoE 使用 Wikitext 作为任务时,发现:FFN 层的专家仅有 **20%** 被激活 + 而注意力层激活率高达 **80%**。这种高利用率表明注意力层的核心通讯机制不适用于特异化的专家。反之具有稀疏特性的 FFN 层,具有完整多专家特异化的潜力。 ![](./MOE-intro.assets/img-20250920112106518.png) @@ -51,7 +51,7 @@ MoE 主要应用于 FFN 层,而不是自注意力层,原因在于: **GLaM (Google, 2021)** 在实验中探索了不同专家数量与 gating 策略的组合: 发现 **64 个专家(per layer)+ Top-2 gating** 在性能和计算效率之间达到了最佳平衡。 -Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专家的配置在 **zero-shot、one-shot、few-shot** 场景下均表现优异。 所以后续的很多 MoE 工作(如 Mixtral, DBRX, DeepSeekMoE)也基本采用 ≤64 专家的规模,这个设计在实际应用中也具有参考价值。 +Top-2 gating 能显著提升效果,相比单一专家更稳定。并且 64 专家的配置在 **zero-shot、one-shot、few-shot** 场景下均表现优异。 所以后续的很多 MoE 工作(如 Mixtral, DBRX, DeepSeekMoE)也基本采用 ≤64 专家的规模,这个设计在实际应用中也具有参考价值。 --- @@ -59,7 +59,7 @@ Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专 近期仍有不少工作专注于 PEFT(参数高效微调)。 论文 [_Pushing Mixture of Experts to the Limit: Extremely Parameter Efficient MoE for Instruction Tuning_](https://arxiv.org/abs/2309.05444) 首次提出将 **LoRA 类型的 PEFT 方法和 MoE 框架结合**。 -其主要理念为,不直接在整个大模型上加 LoRA,而是专门在 MoE 的 expert 模块里应用 LoRA。 因为MoE 的每个专家就是 FFN(MLP),它们是知识写入的关键位置。 这样每次只动一小部分lora experts。并且大大增强了这种架构的易扩展性。 +其主要理念为,不直接在整个大模型上加 LoRA,而是专门在 MoE 的 expert 模块里应用 LoRA。因为 MoE 的每个专家就是 FFN(MLP),它们是知识写入的关键位置。这样每次只动一小部分 LoRA experts,并且大大增强了这种架构的易扩展性。 ![](./MOE-intro.assets/img-20250920112106588.png) @@ -81,11 +81,11 @@ Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专 - 火花(🔥)表示 LoRA Adapter(可训练参数,低秩矩阵)。 - Router 输出的加权组合: - \[ + $$ y = \sum_i \alpha_i \cdot Expert_i(x) - \] + $$ - 其中 \(\alpha_i\) 是 Router 根据输入算出来的权重。 + 其中 $\alpha_i$ 是 Router 根据输入算出来的权重。 4. **输出 (Add & Norm → Residual)** - Router 混合后的专家输出,和残差连接一起进入 Add & Norm,继续往后层传。 @@ -96,42 +96,44 @@ Top-2 gating 能显著提升效果,相比单一专家更稳定。并且64 专 LoRA(Low-Rank Adaptation)的核心思想: -对一个大的线性层权重 \(W \in \mathbb{R}^{d*{out} \times d*{in}}\),不去训练整个矩阵,而是加上一个低秩近似更新: +对一个大的线性层权重 $W \in \mathbb{R}^{d_{out} \times d_{in}}$,不去训练整个矩阵,而是加上一个低秩近似更新: -\[ +$$ W' = W + \Delta W, \quad \Delta W = BA -\] +$$ -- \(A \in \mathbb{R}^{r \times d*{in}}, B \in \mathbb{R}^{d*{out} \times r}\) -- 秩 \(r \ll d*{in}, d*{out}\),通常只取个位数到几十 -- \(W\):冻结(❄️,预训练参数) -- \(A, B\):可训练(🔥,参数量大幅减少) +- $A \in \mathbb{R}^{r \times d_{in}}, B \in \mathbb{R}^{d_{out} \times r}$ +- 秩 $r \ll d_{in}, d_{out}$,通常只取个位数到几十 +- $W$:冻结(❄️,预训练参数) +- $A, B$:可训练(🔥,参数量大幅减少) -这样,一个输入向量 \(x\) 经过 LoRA 线性层时: +这样,一个输入向量 $x$ 经过 LoRA 线性层时: -\[ +$$ Wx + BAx -\] +$$ 等于 **原始主干输出 + 一个小的低秩修正**。 -回到该图,我们可以发现每个专家 \(Expert_i\) 不是全新的大 FFN,而是 **一个 FFN 的 LoRA adapter 组合**: +回到该图,我们可以发现每个专家 $Expert_i$ 不是全新的大 FFN,而是 **一个 FFN 的 LoRA adapter 组合**: -\[ +$$ Expert_i(x) = B_i A_i x -\] +$$ -- Router 对输入 hidden state 计算一个分布 \(\alpha\),然后加权组合: +- Router 对输入 hidden state 计算一个分布 $\alpha$,然后加权组合: -\[ +$$ y = \sum_i \alpha_i \cdot Expert_i(x) -\] +$$ - 最终结果再加上主干(冻结的 FFN 权重输出): -\[ -y*{final} = W*{FFN}x + \sum_i \alpha_i \cdot B_i A_i x -\] +$$ +y_{final} = W_{FFN}x + \sum_i \alpha_i \cdot B_i A_i x +$$ + +--- 作者:**Yang Lewis** 非商业转载请标明出处。 diff --git a/app/docs/ai/compute-platforms/model-compuational-resource-demand.mdx b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md similarity index 100% rename from app/docs/ai/compute-platforms/model-compuational-resource-demand.mdx rename to app/docs/ai/compute-platforms/model-compuational-resource-demand.md From 1292bfe73289a96521e7c417360f12fcc856478d Mon Sep 17 00:00:00 2001 From: Yang Liu <840691168@gmail.com> Date: Sat, 20 Sep 2025 23:01:12 +1000 Subject: [PATCH 11/11] add Cuda memory demand docs --- .../compute-platforms/model-compuational-resource-demand.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/app/docs/ai/compute-platforms/model-compuational-resource-demand.md b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md index 83f231f2..7935dc99 100644 --- a/app/docs/ai/compute-platforms/model-compuational-resource-demand.md +++ b/app/docs/ai/compute-platforms/model-compuational-resource-demand.md @@ -32,12 +32,12 @@ tags: 1. **权重 W** - 存储方式:BF16 (2 Byte) - - 显存:$W = N × 2$ Byte + - 显存:$W = N \times 2$ Byte - 例:2B 参数 → ≈ 4 GB 2. **梯度 G** - 存储方式:BF16 (2 Byte) - - 显存:$G = N × 2$ Byte + - 显存:$G = N \times 2$ Byte - 例:2B 参数 → ≈ 4 GB 3. **优化器状态(Adam)**