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20:24:49",[44],{"currentItem":105,"processedData":125},{"img":106,"keywords":107,"treeType":44,"description":108,"showStatus":44,"updateTime":109,"type":110,"title":111,"content":112,"nextArticle":113,"createTime":109,"sortOrder":117,"canonicalPath":118,"id":119,"contentType":120,"prevArticle":121},"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_fm.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=K3jiiPFLhBs%2BXQNkRwUJE7F3o1Q%3D","InfiniTensor,冬季训练营,九齿,渐悟,Triton","讲解九齿二重渐悟阶段核心内容，覆盖 Triton 与九齿协同开发中的关键方法。","2026-10-22 20:38:11",2,"InfiniTensor 冬季训练营 Triton & 九齿第三课《九齿二重：渐悟》","![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw01.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=gWW0%2BAkvgsiVCSfeVDCX1piO0F8%3D)\r\n\r\n\r\n\r\n2026 年 1 月 23 日，2025 冬季 InfiniTensor 大模型与人工智能系统训练营 Triton & 九齿系列第三课《九齿二重：渐悟》开讲。\r\n\r\n本节课主要演示九齿如何简化并行编程。\r\n\r\n### 九齿环境配置与基础概念\r\n#### 1. NineToothed Puzzles\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw02.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=X4oyoS2rs9wkviZlWAaH4EaH2tA%3D)\r\n\r\n\r\n#### 2. 九齿张量基础\r\n- **符号张量**：不存储实际数据值，仅存储元信息和符号表达式。\r\n- **创建张量**：\r\n  - 通过 `Tensor`类创建，指定具体形状（如 `shape=(2, 3)`）或仅指定维度（如 `ndim=2`）。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw03.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=9I4BCV0%2Bk980fR%2FufKi3Y4OMuR4%3D)\r\n\r\n- **张量求值与可视化**：\r\n  - 使用 `eval()`方法将符号张量转换为具体的 `numpy`数组。\r\n  - 打印内容显示元素的索引而非实际数值，有助于理解并行计算中的数据划分。\r\n  - 使用 `subs()`函数将符号形状的张量转换为数值形状的九齿张量，然后通过 `eval()`转为 `numpy`数组。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw04.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=J9wx14LPFChAvnhOVC82dWjttco%3D)\r\n\r\n### 九齿核心三要素深入解析\r\n\r\n#### 1. 要素一：排布\r\n- **概念**：定义如何将输入张量划分到不同的并行计算单元。\r\n- **操作**：使用 `tile`操作分块张量。\r\n- **嵌套张量**：查看层级信息通过 `.shape`和 `.dtype`。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw05.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=cXua8jJth8a2pYhQwJmXCgxAdNo%3D)\r\n\r\n\r\n- **可视化**：使用 `visualize()`函数展示结构。\r\n- **符号化参数**：增加灵活性，便于自动调优。\r\n- **一致性原则**：所有参与运算的张量在排布后最外层形状必须一致。\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw06.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=olD%2BydbByRgxtJYCmuhxueQ%2Ba9k%3D)\r\n\r\n#### 2. 要素二：应用\r\n- **概念：** 定义在每个并行程序实例上执行的具体计算逻辑。\r\n- **重要区别：** 应用函数中操作的张量是经过排布后的“块”（即次外层张量），而非原始的全局张量。\r\n- **运算示例：**\r\n基础运算：如向量加法 (z = x + y)。\r\n- **归约操作：** 如求和 (`tl.sum`)。当分块导致块大小不匹配时（如向量长度不是 blocksize 的整数倍），需要使用 other 参数来填充无效区域的值。\r\n- **迭代操作：** 通过对排布后产生的多层张量进行迭代，可以实现更复杂的算法。这通常要求张量至少被排布成三层。\r\n\r\n#### 3. 要素三：张量\r\n- **概念**：声明算法所操作的张量的基本属性（如维度）。\r\n- **作用**：为九齿编译器提供必要信息，以生成正确的代码。\r\n\r\n### 总结\r\n本节课演示了九齿如何简化并行编程，重点在于理解符号张量、嵌套结构和自动并行机制，为开发高效计算内核奠定基础。\r\n\r\n\r\n![2025冬季训练营课程表](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_01_zw6.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=a8H1mmcFuHQlXPwOb9vIkgGHb3g%3D)\r\n\r\n### 💡 学习贴士\r\n更多细节及完整课程内容，请观看直播或查看课程回放。\r\n\r\n链接：https:\u002F\u002Fwww.infinitensor.com\u002Fcamp\u002Fwinter2025\r\n\r\n### 📚 训练营报名持续进行中\r\n扫码报名与加入群聊，或点击 **「阅读原文」** 直达官网报名\r\n\r\n\r\n![](https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_01_zw7.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=1gVq94K1yhwDat7%2FIiB1Q44urNk%3D)",{"publishTime":7,"createTime":109,"canonicalPath":114,"id":115,"title":116},"\u002Fstudy-material\u002Fstudy-33","study-33","InfiniTensor 冬季训练营前沿模型第四课《大模型前沿架构》",75,"\u002Fstudy-material\u002Fstudy-34","study-34","markdown",{"publishTime":7,"createTime":109,"canonicalPath":122,"id":123,"title":124},"\u002Fstudy-material\u002Fstudy-35","study-35","InfiniTensor 冬季训练营 AI 编译器第四课《AI 编译器中的后端优化》",{"htmlContent":126,"headings":127},"\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw01.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=gWW0%2BAkvgsiVCSfeVDCX1piO0F8%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cp>2026 年 1 月 23 日，2025 冬季 InfiniTensor 大模型与人工智能系统训练营 Triton & 九齿系列第三课《九齿二重：渐悟》开讲。\u003C\u002Fp>\n\u003Cp>本节课主要演示九齿如何简化并行编程。\u003C\u002Fp>\n\u003Ch3 id=\"九齿环境配置与基础概念\">\u003Ca class=\"anchor\" href=\"#九齿环境配置与基础概念\" aria-label=\"跳转到标题：九齿环境配置与基础概念\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>九齿环境配置与基础概念\u003C\u002Fh3>\u003Ch4 id=\"1-ninetoothed-puzzles\">\u003Ca class=\"anchor\" href=\"#1-ninetoothed-puzzles\" aria-label=\"跳转到标题：1. NineToothed Puzzles\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>1. NineToothed Puzzles\u003C\u002Fh4>\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw02.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=X4oyoS2rs9wkviZlWAaH4EaH2tA%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"2-九齿张量基础\">\u003Ca class=\"anchor\" href=\"#2-九齿张量基础\" aria-label=\"跳转到标题：2. 九齿张量基础\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>2. 九齿张量基础\u003C\u002Fh4>\u003Cul>\n\u003Cli>\u003Cstrong>符号张量\u003C\u002Fstrong>：不存储实际数据值，仅存储元信息和符号表达式。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>创建张量\u003C\u002Fstrong>：\u003Cul>\n\u003Cli>通过 \u003Ccode>Tensor\u003C\u002Fcode>类创建，指定具体形状（如 \u003Ccode>shape=(2, 3)\u003C\u002Fcode>）或仅指定维度（如 \u003Ccode>ndim=2\u003C\u002Fcode>）。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw03.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=9I4BCV0%2Bk980fR%2FufKi3Y4OMuR4%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cul>\n\u003Cli>\u003Cstrong>张量求值与可视化\u003C\u002Fstrong>：\u003Cul>\n\u003Cli>使用 \u003Ccode>eval()\u003C\u002Fcode>方法将符号张量转换为具体的 \u003Ccode>numpy\u003C\u002Fcode>数组。\u003C\u002Fli>\n\u003Cli>打印内容显示元素的索引而非实际数值，有助于理解并行计算中的数据划分。\u003C\u002Fli>\n\u003Cli>使用 \u003Ccode>subs()\u003C\u002Fcode>函数将符号形状的张量转换为数值形状的九齿张量，然后通过 \u003Ccode>eval()\u003C\u002Fcode>转为 \u003Ccode>numpy\u003C\u002Fcode>数组。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw04.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=J9wx14LPFChAvnhOVC82dWjttco%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch3 id=\"九齿核心三要素深入解析\">\u003Ca class=\"anchor\" href=\"#九齿核心三要素深入解析\" aria-label=\"跳转到标题：九齿核心三要素深入解析\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>九齿核心三要素深入解析\u003C\u002Fh3>\u003Ch4 id=\"1-要素一-排布\">\u003Ca class=\"anchor\" href=\"#1-要素一-排布\" aria-label=\"跳转到标题：1. 要素一：排布\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>1. 要素一：排布\u003C\u002Fh4>\u003Cul>\n\u003Cli>\u003Cstrong>概念\u003C\u002Fstrong>：定义如何将输入张量划分到不同的并行计算单元。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>操作\u003C\u002Fstrong>：使用 \u003Ccode>tile\u003C\u002Fcode>操作分块张量。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>嵌套张量\u003C\u002Fstrong>：查看层级信息通过 \u003Ccode>.shape\u003C\u002Fcode>和 \u003Ccode>.dtype\u003C\u002Fcode>。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw05.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=cXua8jJth8a2pYhQwJmXCgxAdNo%3D\" alt=\"\">\u003C\u002Fp>\n\u003Cul>\n\u003Cli>\u003Cstrong>可视化\u003C\u002Fstrong>：使用 \u003Ccode>visualize()\u003C\u002Fcode>函数展示结构。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>符号化参数\u003C\u002Fstrong>：增加灵活性，便于自动调优。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>一致性原则\u003C\u002Fstrong>：所有参与运算的张量在排布后最外层形状必须一致。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_34_zw06.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=olD%2BydbByRgxtJYCmuhxueQ%2Ba9k%3D\" alt=\"\">\u003C\u002Fp>\n\u003Ch4 id=\"2-要素二-应用\">\u003Ca class=\"anchor\" href=\"#2-要素二-应用\" aria-label=\"跳转到标题：2. 要素二：应用\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>2. 要素二：应用\u003C\u002Fh4>\u003Cul>\n\u003Cli>\u003Cstrong>概念：\u003C\u002Fstrong> 定义在每个并行程序实例上执行的具体计算逻辑。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>重要区别：\u003C\u002Fstrong> 应用函数中操作的张量是经过排布后的“块”（即次外层张量），而非原始的全局张量。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>运算示例：\u003C\u002Fstrong>\u003Cbr>基础运算：如向量加法 (z = x + y)。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>归约操作：\u003C\u002Fstrong> 如求和 (\u003Ccode>tl.sum\u003C\u002Fcode>)。当分块导致块大小不匹配时（如向量长度不是 blocksize 的整数倍），需要使用 other 参数来填充无效区域的值。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>迭代操作：\u003C\u002Fstrong> 通过对排布后产生的多层张量进行迭代，可以实现更复杂的算法。这通常要求张量至少被排布成三层。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Ch4 id=\"3-要素三-张量\">\u003Ca class=\"anchor\" href=\"#3-要素三-张量\" aria-label=\"跳转到标题：3. 要素三：张量\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>3. 要素三：张量\u003C\u002Fh4>\u003Cul>\n\u003Cli>\u003Cstrong>概念\u003C\u002Fstrong>：声明算法所操作的张量的基本属性（如维度）。\u003C\u002Fli>\n\u003Cli>\u003Cstrong>作用\u003C\u002Fstrong>：为九齿编译器提供必要信息，以生成正确的代码。\u003C\u002Fli>\n\u003C\u002Ful>\n\u003Ch3 id=\"总结\">\u003Ca class=\"anchor\" href=\"#总结\" aria-label=\"跳转到标题：总结\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>总结\u003C\u002Fh3>\u003Cp>本节课演示了九齿如何简化并行编程，重点在于理解符号张量、嵌套结构和自动并行机制，为开发高效计算内核奠定基础。\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_01_zw6.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=a8H1mmcFuHQlXPwOb9vIkgGHb3g%3D\" alt=\"2025冬季训练营课程表\">\u003C\u002Fp>\n\u003Ch3 id=\"学习贴士\">\u003Ca class=\"anchor\" href=\"#学习贴士\" aria-label=\"跳转到标题：💡 学习贴士\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>💡 学习贴士\u003C\u002Fh3>\u003Cp>更多细节及完整课程内容，请观看直播或查看课程回放。\u003C\u002Fp>\n\u003Cp>链接：\u003Ca href=\"https:\u002F\u002Fwww.infinitensor.com\u002Fcamp\u002Fwinter2025\">https:\u002F\u002Fwww.infinitensor.com\u002Fcamp\u002Fwinter2025\u003C\u002Fa>\u003C\u002Fp>\n\u003Ch3 id=\"训练营报名持续进行中\">\u003Ca class=\"anchor\" href=\"#训练营报名持续进行中\" aria-label=\"跳转到标题：📚 训练营报名持续进行中\">\u003Cspan class=\"octicon octicon-link\">\u003C\u002Fspan>\u003C\u002Fa>📚 训练营报名持续进行中\u003C\u002Fh3>\u003Cp>扫码报名与加入群聊，或点击 \u003Cstrong>「阅读原文」\u003C\u002Fstrong> 直达官网报名\u003C\u002Fp>\n\u003Cp>\u003Cimg src=\"https:\u002F\u002Foss.infinitensor.com\u002Fprod\u002Fimages\u002FKnowledge_Base\u002FKB_01_zw7.jpg?Expires=1792752556&OSSAccessKeyId=LTAI5t9R6uzvTa69CT92cFvV&Signature=1gVq94K1yhwDat7%2FIiB1Q44urNk%3D\" alt=\"\">\u003C\u002Fp>\n",[128,130,134,137,139,142,145,148,150,153],{"id":129,"text":129,"level":9},"九齿环境配置与基础概念",{"id":131,"text":132,"level":133},"1-ninetoothed-puzzles","1. NineToothed Puzzles",4,{"id":135,"text":136,"level":133},"2-九齿张量基础","2. 九齿张量基础",{"id":138,"text":138,"level":9},"九齿核心三要素深入解析",{"id":140,"text":141,"level":133},"1-要素一-排布","1. 要素一：排布",{"id":143,"text":144,"level":133},"2-要素二-应用","2. 要素二：应用",{"id":146,"text":147,"level":133},"3-要素三-张量","3. 要素三：张量",{"id":149,"text":149,"level":9},"总结",{"id":151,"text":152,"level":9},"学习贴士","💡 学习贴士",{"id":154,"text":155,"level":9},"训练营报名持续进行中","📚 训练营报名持续进行中"]