flykhan
2536c937e3
翻译自英文原版 maths-cs-ai-compendium，共 20 章全部完成。 第01章 向量 | 第02章 矩阵 | 第03章 微积分 第04章 统计学 | 第05章 概率论 | 第06章 机器学习 第07章 计算语言学 | 第08章 计算机视觉 | 第09章 音频与语音 第10章 多模态学习 | 第11章 自主系统 | 第12章 图神经网络 第13章 计算与操作系统 | 第14章 数据结构与算法 第15章 生产级软件工程 | 第16章 SIMD与GPU编程 第17章 AI推理 | 第18章 ML系统设计 第19章 应用人工智能 | 第20章 前沿人工智能 翻译说明： - 所有数学公式 $...$ / $$...$$、代码块、图片引用完整保留 - mkdocs.yml 配置中文导航 + language: zh - README.md 已翻译为中文（兼 docs/index.md） - docs/ 目录包含指向各章文件的 symlink - 约 29,000 行中文内容，排除 .cache/ 构建缓存
80 lines
6.9 KiB
XML
80 lines
6.9 KiB
XML
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<text x="375" y="22" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#333">Static Batching vs Continuous Batching</text>
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<!-- Static batching (left) -->
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<text x="188" y="50" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#e74c3c">Static Batching</text>
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<text x="30" y="80" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 1:</text>
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<text x="30" y="105" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 2:</text>
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<text x="30" y="130" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 3:</text>
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<text x="30" y="155" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 4:</text>
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<!-- Batch 1 -->
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<text x="200" y="83" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#3498db">Request A (long)</text>
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<rect x="75" y="95" width="120" height="18" rx="3" fill="#27ae60" fill-opacity="0.4" stroke="#27ae60" stroke-width="1"/>
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<text x="135" y="108" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#27ae60">Req B</text>
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<rect x="195" y="95" width="130" height="18" rx="3" fill="#ddd" stroke="none"/>
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<text x="260" y="108" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#999">IDLE (waiting for A)</text>
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<rect x="75" y="120" width="80" height="18" rx="3" fill="#f39c12" fill-opacity="0.4" stroke="#f39c12" stroke-width="1"/>
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<text x="115" y="133" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#f39c12">C</text>
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<rect x="155" y="120" width="170" height="18" rx="3" fill="#ddd" stroke="none"/>
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<text x="240" y="133" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#999">IDLE</text>
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<rect x="75" y="145" width="150" height="18" rx="3" fill="#9b59b6" fill-opacity="0.4" stroke="#9b59b6" stroke-width="1"/>
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<text x="150" y="158" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#9b59b6">Req D</text>
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<rect x="225" y="145" width="100" height="18" rx="3" fill="#ddd" stroke="none"/>
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<text x="275" y="158" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#999">IDLE</text>
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<!-- Batch boundary -->
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<line x1="325" y1="65" x2="325" y2="168" stroke="#e74c3c" stroke-width="1.5" stroke-dasharray="4,2"/>
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<text x="333" y="76" text-anchor="start" font-family="Arial, sans-serif" font-size="7" fill="#e74c3c">batch ends</text>
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<text x="333" y="86" text-anchor="start" font-family="Arial, sans-serif" font-size="7" fill="#e74c3c">when A finishes</text>
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<text x="188" y="185" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#e74c3c">GPU slots sit idle while waiting</text>
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<text x="188" y="197" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#e74c3c">for the longest request</text>
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<!-- Continuous batching (right) -->
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<text x="562" y="50" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#27ae60">Continuous Batching</text>
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<text x="395" y="80" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 1:</text>
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<text x="395" y="105" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 2:</text>
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<text x="395" y="130" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 3:</text>
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<text x="395" y="155" text-anchor="start" font-family="Arial, sans-serif" font-size="9" fill="#666">Slot 4:</text>
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<rect x="440" y="70" width="250" height="18" rx="3" fill="#3498db" fill-opacity="0.4" stroke="#3498db" stroke-width="1"/>
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<text x="565" y="83" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#3498db">Request A (long)</text>
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<rect x="440" y="95" width="120" height="18" rx="3" fill="#27ae60" fill-opacity="0.4" stroke="#27ae60" stroke-width="1"/>
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<text x="500" y="108" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#27ae60">Req B</text>
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<rect x="562" y="95" width="128" height="18" rx="3" fill="#e67e22" fill-opacity="0.4" stroke="#e67e22" stroke-width="1"/>
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<text x="626" y="108" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#e67e22">Req E (new!)</text>
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<rect x="440" y="120" width="80" height="18" rx="3" fill="#f39c12" fill-opacity="0.4" stroke="#f39c12" stroke-width="1"/>
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<text x="480" y="133" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#f39c12">C</text>
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<rect x="522" y="120" width="100" height="18" rx="3" fill="#1abc9c" fill-opacity="0.4" stroke="#1abc9c" stroke-width="1"/>
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<text x="572" y="133" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#1abc9c">Req F (new!)</text>
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<rect x="624" y="120" width="66" height="18" rx="3" fill="#c0392b" fill-opacity="0.4" stroke="#c0392b" stroke-width="1"/>
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<text x="657" y="133" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#c0392b">G</text>
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<rect x="440" y="145" width="150" height="18" rx="3" fill="#9b59b6" fill-opacity="0.4" stroke="#9b59b6" stroke-width="1"/>
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<text x="515" y="158" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#9b59b6">Req D</text>
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<rect x="592" y="145" width="98" height="18" rx="3" fill="#2980b9" fill-opacity="0.4" stroke="#2980b9" stroke-width="1"/>
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<text x="641" y="158" text-anchor="middle" font-family="Arial, sans-serif" font-size="7" fill="#2980b9">Req H (new!)</text>
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<text x="562" y="185" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#27ae60">finished requests replaced immediately</text>
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<text x="562" y="197" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#27ae60">→ GPU always fully utilised</text>
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<!-- Bottom comparison -->
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<text x="200" y="235" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#e74c3c">~40% GPU utilisation</text>
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<text x="200" y="249" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#e74c3c">(wasted slots while waiting)</text>
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<rect x="400" y="215" width="300" height="40" rx="6" fill="#27ae60" fill-opacity="0.06" stroke="#27ae60" stroke-width="1"/>
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<text x="550" y="235" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#27ae60">~95% GPU utilisation</text>
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<text x="550" y="249" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#27ae60">(slots filled immediately)</text>
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