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训练营 Triton & 九齿方向第三课《九齿一重：初窥》开讲。\r\n前置课程《Triton 练气术》系统讲解了 Triton 并行编程语言核心知识，涵盖 DSL 特性、与 CUDA 对比优势及 program_id、arange、load、store 四大基础 API 等内容。\u003C\u002Fspan>\r\n\r\n本节课将带你深入理解九齿编程语言，它如何以 Triton 为编译后端，通过“排布+应用”的独特范式，屏蔽底层指针与内存细节，让并行编程初学者也能写出高可读、易维护的高性能 Kernel？从向量加法到 Flash Attention，我们将通过代码与算法的对应关系详细讲解九齿。\r\n\r\n\r\n## 九齿是什么？\r\n1.**核心定义**：一门提供张量级抽象的领域特定语言（DSL）。\r\n\r\n2.**使用 Triton 作为编译后端**：\r\n- 用户层：使用九齿 DSL 编写张量级代码。\r\n- 编译层：Code Generator 将九齿代码编译为 Triton 代码。\r\n- 后端层：复用 Triton 成熟的编译优化后端，避免重复造轮子。\r\n\r\n3.**对并行编程初学者友好**\r\n\r\n4.**更强的代码可读性与可维护性**\r\n\r\n## 为什么需要九齿？\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw02.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=%2BZf%2Ba0hV%2Fjbej3DIc5zPKZr1aHQ%3D)\r\n\r\n- 九齿的定位：填补 PyTorch 与 Triton 之间的空白，剥离并行细节，让串行编程思维平滑过渡到并行开发。\r\n\r\n## 直观对比：九齿 vs Triton\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw03.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=vyQ8esfiUvRaQDMcj8K7LlEkkas%3D)\r\n\r\n1.**代码量对比**：矩阵乘法案例中，九齿代码量显著少于Triton。\r\n\r\n2.**抽象层级对比**：\r\n- **Triton**：关注 Pointer、Stride、Offsets、Mask、显式 Load\u002FStore。\r\n- **九齿**：无指针概念，无显式内存访问；关注 Arrangement（排布）、Application（应用）、tile、expand 等张量操作。\r\n\r\n## 向量加法（Hello World）\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw04.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=HwVjV%2FS%2F8sDpGI7G40kQrBh59AA%3D)\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw05.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=NiXDjSvwsPWjgxfOGRQgRg5bkaM%3D)\r\n\r\n#### 1.算法原理：\r\n元素独立，天然适合并行；按 BlockSize 分块计算。\r\n\r\n#### 2.Triton 实现回顾：\r\nPid 获取、Offsets 计算、Mask 处理、Load\u002FAdd\u002FStore。\r\n\r\n#### 3.九齿实现解析：\r\n- arrangement：使用 `.tile()` 将 A\u002FB\u002FC 按 BlockSize 切分并对齐。\r\n- application：直接对切分后的 Tile 组进行 `C = A + B`。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw06.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=HOIroOQjPIZH5VloJT6b%2BJ4bNSs%3D)\r\n\r\n\r\n#### 4.张量可视化\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw07.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=%2BkGQLlIGeEvN%2F6BgB67tPqEaPRw%3D)\r\n\r\n## 矩阵乘法（GEMM）\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw08.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Dk1EoE0vFbKPukZasBFTziaZBEU%3D)\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw09.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=YQo9Fvz%2FbBk2mYt9L6iWA2ApWYM%3D)\r\n\r\n#### 1.并行算法回顾：\r\nM\u002FN\u002FK 三维分块，C 的每个 Block 对应 A 的一行 Block 与 B 的一列 Block，累加小矩阵乘结果。\r\n#### 2.九齿排布技巧：\r\n- **双层 Tile**：第一层切物理块，第二层组合逻辑行\u002F列。\r\n- **Expand**：解决 A 的行 Block 与 C 的 Block 数量不对应问题，建立广播映射。\r\n- **Squeeze**：去除冗余维度，确保最外层形状一致以建立对应关系。\r\n#### 3.九齿实现：\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw10.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=a%2B8wiwFMwWbqx6rMuBsnmhkGaM4%3D)\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw11.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Ig9hkePxJvtn%2B3M5fwzEgkk7%2FF0%3D)\r\n\r\n初始化累加器，遍历对应好的 A\u002FB Tile 组进行`.dot()`累加。\r\n\r\n#### 4.张量可视化：\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw12.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=TSOkIeEsIi14mMbeK4R7mnSYAVs%3D)\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw13.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=vNI0Gn9Z%2B1jT3z4scgh8u5KDg3o%3D)\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw14.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Nyuwm0s6KJ%2FdvUYmn00QGNmAHQk%3D)\r\n\r\n\r\n## 二维卷积\r\n#### 1.im2col （Image-to-Column）：\r\n将卷积转换为隐式矩阵乘法以避免内存膨胀。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw15.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=f%2Fdj%2BC7Y8lm8A5xMaCtWzZXKp1o%3D)\r\n\r\n#### 2.Implicit GEMM\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw16.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=y0Rfy9BKE66GytY4Kuydt6FHlNs%3D)\r\n\r\n#### 3.九齿实现\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw17.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=OXejst0MICFxT%2BHcL2lFRmDdIIw%3D)\r\n\r\n- 直接复用 GEMM 的 Arrangement 与 Application。\r\n- 仅需编写 Input\u002FFilter\u002FOutput 到矩阵乘参数的转换逻辑。\r\n\r\n#### 4.张量可视化\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw18.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=GfU7HTN7cCJqzsyh1Ox%2FGkHskzM%3D)\r\n\r\n- **重叠Tile**：使用 stride 参数处理滑动窗口重叠。\r\n- **Ravel vs Flatten**：九齿中 Ravel 用于展平嵌套张量层级，Flatten 用于展平单层张量维度。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw19.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Hl%2FMcnmSOH7sxr%2BAhkekk5pcAaM%3D)\r\n\r\n\r\n## Flash Attention-2\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw20.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=U2cedHFOiihMkF%2BBIoA4EWFYXMI%3D)\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw21.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=cbe4exaF9bG%2FZSP7i7M9BiPgCH0%3D)\r\n\r\n1.**算法对标**：严格对应论文 Algorithm 描述（Q\u002FK\u002FV分块、Online Softmax、累加更新）。\r\n\r\n2.**张量可视化**：\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw22.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=j3Ts16eROE6IQwgNMR8rH3wnWvE%3D)\r\n\r\n\r\n3.**九齿实现**：\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw23.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=vwOiNS0ZIJeNZckpUlU8nm0yuiw%3D)\r\n\r\n\r\n\r\n\r\n## 加入训练营\r\n#### 📺完整课程内容，请观看直播或查看课程回放：\r\n**InfiniTensor 官网**： https:\u002F\u002Fwww.infinitensor.com\r\n\r\n**B站直播**： InfiniTensor 官方直播间\r\n\r\n**视频号直播**： InfiniTensor 视频号预约\r\n\r\n**答疑交流**： 训练营官方社群⬇️\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002Fportal_news\u002F2026-xjq.png?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=3IiFKEiHFCQlzNzJVYvTOzJrQeA%3D)\r\n\r\n## 关注与交流\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002Fportal_news\u002Fnews_ewm02.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=b99gzHenctqvwPBf6ochT3v2vQU%3D)",{"publishTime":7,"createTime":109,"canonicalPath":114,"id":115,"title":116},"\u002Fstudy-material\u002Fstudy-77","study-77","2026 夏季 InfiniTensor 训练营 AI 编程与智能体应用 3：《Agent 在科研场景的应用实践》",31,"\u002Fstudy-material\u002Fstudy-78","study-78","markdown",{"publishTime":7,"createTime":109,"canonicalPath":122,"id":123,"title":124},"\u002Fstudy-material\u002Fstudy-79","study-79","2026 夏季 InfiniTensor 训练营推理引擎 3：《从大模型推理到 AI 对话》",{"htmlContent":126,"headings":127},"\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw01.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=gkPr73IB%2FTNNGUjj77pBtokeomA%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cspan style=\"font-size:12px;color:#555;\">7 月 24 日，2026 夏季 InfiniTensor 训练营 Triton & 九齿方向第三课《九齿一重：初窥》开讲。\u003Cbr>前置课程《Triton 练气术》系统讲解了 Triton 并行编程语言核心知识，涵盖 DSL 特性、与 CUDA 对比优势及 program_id、arange、load、store 四大基础 API 等内容。\u003C\u002Fspan>\u003C\u002Fp>\n\u003Cp>本节课将带你深入理解九齿编程语言，它如何以 Triton 为编译后端，通过“排布+应用”的独特范式，屏蔽底层指针与内存细节，让并行编程初学者也能写出高可读、易维护的高性能 Kernel？从向量加法到 Flash Attention，我们将通过代码与算法的对应关系详细讲解九齿。\u003C\u002Fp>\n\u003Ch2 id=\"九齿是什么\">\u003Ca class=\"anchor\" href=\"#九齿是什么\" aria-label=\"跳转到标题：九齿是什么？\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>九齿是什么？\u003C\u002Fh2>\u003Cp>1.\u003Cstrong>核心定义\u003C\u002Fstrong>：一门提供张量级抽象的领域特定语言（DSL）。\u003C\u002Fp>\n\u003Cp>2.\u003Cstrong>使用 Triton 作为编译后端\u003C\u002Fstrong>：\u003C\u002Fp>\n\u003Cul>\n\u003Cli>用户层：使用九齿 DSL 编写张量级代码。\u003C\u002Fli>\n\u003Cli>编译层：Code Generator 将九齿代码编译为 Triton 代码。\u003C\u002Fli>\n\u003Cli>后端层：复用 Triton 成熟的编译优化后端，避免重复造轮子。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>3.\u003Cstrong>对并行编程初学者友好\u003C\u002Fstrong>\u003C\u002Fp>\n\u003Cp>4.\u003Cstrong>更强的代码可读性与可维护性\u003C\u002Fstrong>\u003C\u002Fp>\n\u003Ch2 id=\"为什么需要九齿\">\u003Ca class=\"anchor\" href=\"#为什么需要九齿\" aria-label=\"跳转到标题：为什么需要九齿？\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>为什么需要九齿？\u003C\u002Fh2>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw02.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=%2BZf%2Ba0hV%2Fjbej3DIc5zPKZr1aHQ%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cul>\n\u003Cli>九齿的定位：填补 PyTorch 与 Triton 之间的空白，剥离并行细节，让串行编程思维平滑过渡到并行开发。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Ch2 id=\"直观对比-九齿-vs-triton\">\u003Ca class=\"anchor\" href=\"#直观对比-九齿-vs-triton\" aria-label=\"跳转到标题：直观对比：九齿 vs Triton\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>直观对比：九齿 vs Triton\u003C\u002Fh2>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw03.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=vyQ8esfiUvRaQDMcj8K7LlEkkas%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>1.\u003Cstrong>代码量对比\u003C\u002Fstrong>：矩阵乘法案例中，九齿代码量显著少于Triton。\u003C\u002Fp>\n\u003Cp>2.\u003Cstrong>抽象层级对比\u003C\u002Fstrong>：\u003C\u002Fp>\n\u003Cul>\n\u003Cli>\u003Cstrong>Triton\u003C\u002Fstrong>：关注 Pointer、Stride、Offsets、Mask、显式 Load\u002FStore。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>九齿\u003C\u002Fstrong>：无指针概念，无显式内存访问；关注 Arrangement（排布）、Application（应用）、tile、expand 等张量操作。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Ch2 id=\"向量加法-hello-world\">\u003Ca class=\"anchor\" href=\"#向量加法-hello-world\" aria-label=\"跳转到标题：向量加法（Hello World）\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>向量加法（Hello World）\u003C\u002Fh2>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw04.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=HwVjV%2FS%2F8sDpGI7G40kQrBh59AA%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw05.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=NiXDjSvwsPWjgxfOGRQgRg5bkaM%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"1-算法原理\">\u003Ca class=\"anchor\" href=\"#1-算法原理\" aria-label=\"跳转到标题：1.算法原理：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>1.算法原理：\u003C\u002Fh4>\u003Cp>元素独立，天然适合并行；按 BlockSize 分块计算。\u003C\u002Fp>\n\u003Ch4 id=\"2-triton-实现回顾\">\u003Ca class=\"anchor\" href=\"#2-triton-实现回顾\" aria-label=\"跳转到标题：2.Triton 实现回顾：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>2.Triton 实现回顾：\u003C\u002Fh4>\u003Cp>Pid 获取、Offsets 计算、Mask 处理、Load\u002FAdd\u002FStore。\u003C\u002Fp>\n\u003Ch4 id=\"3-九齿实现解析\">\u003Ca class=\"anchor\" href=\"#3-九齿实现解析\" aria-label=\"跳转到标题：3.九齿实现解析：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>3.九齿实现解析：\u003C\u002Fh4>\u003Cul>\n\u003Cli>arrangement：使用 \u003Ccode>.tile()\u003C\u002Fcode> 将 A\u002FB\u002FC 按 BlockSize 切分并对齐。\u003C\u002Fli>\n\u003Cli>application：直接对切分后的 Tile 组进行 \u003Ccode>C = A + B\u003C\u002Fcode>。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw06.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=HOIroOQjPIZH5VloJT6b%2BJ4bNSs%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"4-张量可视化\">\u003Ca class=\"anchor\" href=\"#4-张量可视化\" aria-label=\"跳转到标题：4.张量可视化\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>4.张量可视化\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw07.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=%2BkGQLlIGeEvN%2F6BgB67tPqEaPRw%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch2 id=\"矩阵乘法-gemm\">\u003Ca class=\"anchor\" href=\"#矩阵乘法-gemm\" aria-label=\"跳转到标题：矩阵乘法（GEMM）\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>矩阵乘法（GEMM）\u003C\u002Fh2>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw08.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Dk1EoE0vFbKPukZasBFTziaZBEU%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw09.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=YQo9Fvz%2FbBk2mYt9L6iWA2ApWYM%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"1-并行算法回顾\">\u003Ca class=\"anchor\" href=\"#1-并行算法回顾\" aria-label=\"跳转到标题：1.并行算法回顾：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>1.并行算法回顾：\u003C\u002Fh4>\u003Cp>M\u002FN\u002FK 三维分块，C 的每个 Block 对应 A 的一行 Block 与 B 的一列 Block，累加小矩阵乘结果。\u003C\u002Fp>\n\u003Ch4 id=\"2-九齿排布技巧\">\u003Ca class=\"anchor\" href=\"#2-九齿排布技巧\" aria-label=\"跳转到标题：2.九齿排布技巧：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>2.九齿排布技巧：\u003C\u002Fh4>\u003Cul>\n\u003Cli>\u003Cstrong>双层 Tile\u003C\u002Fstrong>：第一层切物理块，第二层组合逻辑行\u002F列。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Expand\u003C\u002Fstrong>：解决 A 的行 Block 与 C 的 Block 数量不对应问题，建立广播映射。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Squeeze\u003C\u002Fstrong>：去除冗余维度，确保最外层形状一致以建立对应关系。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Ch4 id=\"3-九齿实现\">\u003Ca class=\"anchor\" href=\"#3-九齿实现\" aria-label=\"跳转到标题：3.九齿实现：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>3.九齿实现：\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw10.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=a%2B8wiwFMwWbqx6rMuBsnmhkGaM4%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw11.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Ig9hkePxJvtn%2B3M5fwzEgkk7%2FF0%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>初始化累加器，遍历对应好的 A\u002FB Tile 组进行\u003Ccode>.dot()\u003C\u002Fcode>累加。\u003C\u002Fp>\n\u003Ch4 id=\"4-张量可视化-1\">\u003Ca class=\"anchor\" href=\"#4-张量可视化-1\" aria-label=\"跳转到标题：4.张量可视化：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>4.张量可视化：\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw12.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=TSOkIeEsIi14mMbeK4R7mnSYAVs%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw13.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=vNI0Gn9Z%2B1jT3z4scgh8u5KDg3o%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw14.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Nyuwm0s6KJ%2FdvUYmn00QGNmAHQk%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch2 id=\"二维卷积\">\u003Ca class=\"anchor\" href=\"#二维卷积\" aria-label=\"跳转到标题：二维卷积\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>二维卷积\u003C\u002Fh2>\u003Ch4 id=\"1-im2col-image-to-column\">\u003Ca class=\"anchor\" href=\"#1-im2col-image-to-column\" aria-label=\"跳转到标题：1.im2col （Image-to-Column）：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>1.im2col （Image-to-Column）：\u003C\u002Fh4>\u003Cp>将卷积转换为隐式矩阵乘法以避免内存膨胀。\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw15.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=f%2Fdj%2BC7Y8lm8A5xMaCtWzZXKp1o%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"2-implicit-gemm\">\u003Ca class=\"anchor\" href=\"#2-implicit-gemm\" aria-label=\"跳转到标题：2.Implicit GEMM\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>2.Implicit GEMM\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw16.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=y0Rfy9BKE66GytY4Kuydt6FHlNs%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"3-九齿实现-1\">\u003Ca class=\"anchor\" href=\"#3-九齿实现-1\" aria-label=\"跳转到标题：3.九齿实现\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>3.九齿实现\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw17.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=OXejst0MICFxT%2BHcL2lFRmDdIIw%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cul>\n\u003Cli>直接复用 GEMM 的 Arrangement 与 Application。\u003C\u002Fli>\n\u003Cli>仅需编写 Input\u002FFilter\u002FOutput 到矩阵乘参数的转换逻辑。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Ch4 id=\"4-张量可视化-2\">\u003Ca class=\"anchor\" href=\"#4-张量可视化-2\" aria-label=\"跳转到标题：4.张量可视化\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>4.张量可视化\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw18.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=GfU7HTN7cCJqzsyh1Ox%2FGkHskzM%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cul>\n\u003Cli>\u003Cstrong>重叠Tile\u003C\u002Fstrong>：使用 stride 参数处理滑动窗口重叠。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>Ravel vs Flatten\u003C\u002Fstrong>：九齿中 Ravel 用于展平嵌套张量层级，Flatten 用于展平单层张量维度。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw19.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=Hl%2FMcnmSOH7sxr%2BAhkekk5pcAaM%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch2 id=\"flash-attention-2\">\u003Ca class=\"anchor\" href=\"#flash-attention-2\" aria-label=\"跳转到标题：Flash Attention-2\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>Flash Attention-2\u003C\u002Fh2>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw20.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=U2cedHFOiihMkF%2BBIoA4EWFYXMI%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw21.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=cbe4exaF9bG%2FZSP7i7M9BiPgCH0%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>1.\u003Cstrong>算法对标\u003C\u002Fstrong>：严格对应论文 Algorithm 描述（Q\u002FK\u002FV分块、Online Softmax、累加更新）。\u003C\u002Fp>\n\u003Cp>2.\u003Cstrong>张量可视化\u003C\u002Fstrong>：\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw22.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=j3Ts16eROE6IQwgNMR8rH3wnWvE%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>3.\u003Cstrong>九齿实现\u003C\u002Fstrong>：\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_78_zw23.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=vwOiNS0ZIJeNZckpUlU8nm0yuiw%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch2 id=\"加入训练营\">\u003Ca class=\"anchor\" href=\"#加入训练营\" aria-label=\"跳转到标题：加入训练营\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>加入训练营\u003C\u002Fh2>\u003Ch4 id=\"完整课程内容-请观看直播或查看课程回放\">\u003Ca class=\"anchor\" href=\"#完整课程内容-请观看直播或查看课程回放\" aria-label=\"跳转到标题：📺完整课程内容，请观看直播或查看课程回放：\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>📺完整课程内容，请观看直播或查看课程回放：\u003C\u002Fh4>\u003Cp>\u003Cstrong>InfiniTensor 官网\u003C\u002Fstrong>： \u003Ca href=\"https:\u002F\u002Fwww.infinitensor.com\">https:\u002F\u002Fwww.infinitensor.com\u003C\u002Fa>\u003C\u002Fp>\n\u003Cp>\u003Cstrong>B站直播\u003C\u002Fstrong>： InfiniTensor 官方直播间\u003C\u002Fp>\n\u003Cp>\u003Cstrong>视频号直播\u003C\u002Fstrong>： InfiniTensor 视频号预约\u003C\u002Fp>\n\u003Cp>\u003Cstrong>答疑交流\u003C\u002Fstrong>： 训练营官方社群⬇️\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002Fportal_news\u002F2026-xjq.png?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=3IiFKEiHFCQlzNzJVYvTOzJrQeA%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch2 id=\"关注与交流\">\u003Ca class=\"anchor\" href=\"#关注与交流\" aria-label=\"跳转到标题：关注与交流\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>关注与交流\u003C\u002Fh2>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002Fportal_news\u002Fnews_ewm02.jpg?Expires=1792752558&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=b99gzHenctqvwPBf6ochT3v2vQU%3D\" alt=\"\">\u003C\u002Fp>\n",[128,131,134,137,140,144,147,150,153,156,159,162,165,168,170,173,176,179,181,184,186,189],{"id":129,"text":130,"level":110},"九齿是什么","九齿是什么？",{"id":132,"text":133,"level":110},"为什么需要九齿","为什么需要九齿？",{"id":135,"text":136,"level":110},"直观对比-九齿-vs-triton","直观对比：九齿 vs Triton",{"id":138,"text":139,"level":110},"向量加法-hello-world","向量加法（Hello World）",{"id":141,"text":142,"level":143},"1-算法原理","1.算法原理：",4,{"id":145,"text":146,"level":143},"2-triton-实现回顾","2.Triton 实现回顾：",{"id":148,"text":149,"level":143},"3-九齿实现解析","3.九齿实现解析：",{"id":151,"text":152,"level":143},"4-张量可视化","4.张量可视化",{"id":154,"text":155,"level":110},"矩阵乘法-gemm","矩阵乘法（GEMM）",{"id":157,"text":158,"level":143},"1-并行算法回顾","1.并行算法回顾：",{"id":160,"text":161,"level":143},"2-九齿排布技巧","2.九齿排布技巧：",{"id":163,"text":164,"level":143},"3-九齿实现","3.九齿实现：",{"id":166,"text":167,"level":143},"4-张量可视化-1","4.张量可视化：",{"id":169,"text":169,"level":110},"二维卷积",{"id":171,"text":172,"level":143},"1-im2col-image-to-column","1.im2col （Image-to-Column）：",{"id":174,"text":175,"level":143},"2-implicit-gemm","2.Implicit GEMM",{"id":177,"text":178,"level":143},"3-九齿实现-1","3.九齿实现",{"id":180,"text":152,"level":143},"4-张量可视化-2",{"id":182,"text":183,"level":110},"flash-attention-2","Flash Attention-2",{"id":185,"text":185,"level":110},"加入训练营",{"id":187,"text":188,"level":143},"完整课程内容-请观看直播或查看课程回放","📺完整课程内容，请观看直播或查看课程回放：",{"id":190,"text":190,"level":110},"关注与交流"]