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
87 lines
6.1 KiB
XML
87 lines
6.1 KiB
XML
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<!-- Title -->
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<text x="325" y="22" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#333">Effect of Temperature on Contrastive Softmax</text>
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<!-- Divider -->
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<line x1="325" y1="34" x2="325" y2="242" stroke="#ccc" stroke-width="1" stroke-dasharray="4,3"/>
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<!-- ====== LEFT: Low Temperature ====== -->
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<text x="162" y="48" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#e74c3c">Low Temperature (τ → 0)</text>
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<text x="162" y="62" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#666">Sharp / peaked distribution</text>
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<!-- Left axes -->
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<line x1="55" y1="200" x2="280" y2="200" stroke="#999" stroke-width="1"/>
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<line x1="55" y1="200" x2="55" y2="75" stroke="#999" stroke-width="1"/>
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<text x="167" y="220" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#999">Candidates</text>
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<text x="42" y="140" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#999" transform="rotate(-90,42,140)">Softmax prob.</text>
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<!-- Left bar chart — peaked at correct match -->
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<!-- Bar 1 (low) -->
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<rect x="72" y="190" width="28" height="10" rx="2" fill="#3498db" fill-opacity="0.4"/>
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<!-- Bar 2 (low) -->
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<rect x="112" y="188" width="28" height="12" rx="2" fill="#3498db" fill-opacity="0.4"/>
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<!-- Bar 3 — correct match (very tall) -->
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<rect x="152" y="82" width="28" height="118" rx="2" fill="#27ae60" fill-opacity="0.8"/>
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<text x="166" y="78" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" font-weight="bold" fill="#27ae60">correct</text>
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<!-- Bar 4 (low) -->
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<rect x="192" y="192" width="28" height="8" rx="2" fill="#3498db" fill-opacity="0.4"/>
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<!-- Bar 5 (low) -->
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<rect x="232" y="191" width="28" height="9" rx="2" fill="#3498db" fill-opacity="0.4"/>
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<!-- Tick labels -->
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<text x="86" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">1</text>
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<text x="126" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">2</text>
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<text x="166" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">3</text>
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<text x="206" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">4</text>
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<text x="246" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">5</text>
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<!-- Y-axis ticks left -->
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<line x1="52" y1="200" x2="55" y2="200" stroke="#999" stroke-width="1"/>
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<text x="48" y="203" text-anchor="end" font-family="Arial, sans-serif" font-size="8" fill="#999">0</text>
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<line x1="52" y1="140" x2="55" y2="140" stroke="#999" stroke-width="1"/>
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<text x="48" y="143" text-anchor="end" font-family="Arial, sans-serif" font-size="8" fill="#999">0.5</text>
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<line x1="52" y1="80" x2="55" y2="80" stroke="#999" stroke-width="1"/>
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<text x="48" y="83" text-anchor="end" font-family="Arial, sans-serif" font-size="8" fill="#999">1.0</text>
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<!-- ====== RIGHT: High Temperature ====== -->
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<text x="488" y="48" text-anchor="middle" font-family="Arial, sans-serif" font-size="11" font-weight="bold" fill="#3498db">High Temperature (τ → ∞)</text>
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<text x="488" y="62" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#666">Uniform / flat distribution</text>
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<!-- Right axes -->
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<line x1="380" y1="200" x2="605" y2="200" stroke="#999" stroke-width="1"/>
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<line x1="380" y1="200" x2="380" y2="75" stroke="#999" stroke-width="1"/>
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<text x="492" y="220" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#999">Candidates</text>
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<text x="367" y="140" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#999" transform="rotate(-90,367,140)">Softmax prob.</text>
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<!-- Right bar chart — nearly uniform -->
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<rect x="397" y="175" width="28" height="25" rx="2" fill="#3498db" fill-opacity="0.5"/>
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<rect x="437" y="173" width="28" height="27" rx="2" fill="#3498db" fill-opacity="0.5"/>
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<!-- correct match — only slightly taller -->
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<rect x="477" y="170" width="28" height="30" rx="2" fill="#f39c12" fill-opacity="0.6"/>
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<text x="491" y="166" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#f39c12">correct</text>
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<rect x="517" y="174" width="28" height="26" rx="2" fill="#3498db" fill-opacity="0.5"/>
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<rect x="557" y="176" width="28" height="24" rx="2" fill="#3498db" fill-opacity="0.5"/>
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<!-- Tick labels -->
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<text x="411" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">1</text>
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<text x="451" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">2</text>
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<text x="491" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">3</text>
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<text x="531" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">4</text>
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<text x="571" y="212" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" fill="#999">5</text>
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<!-- Y-axis ticks right -->
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<line x1="377" y1="200" x2="380" y2="200" stroke="#999" stroke-width="1"/>
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<text x="373" y="203" text-anchor="end" font-family="Arial, sans-serif" font-size="8" fill="#999">0</text>
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<line x1="377" y1="140" x2="380" y2="140" stroke="#999" stroke-width="1"/>
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<text x="373" y="143" text-anchor="end" font-family="Arial, sans-serif" font-size="8" fill="#999">0.5</text>
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<line x1="377" y1="80" x2="380" y2="80" stroke="#999" stroke-width="1"/>
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<text x="373" y="83" text-anchor="end" font-family="Arial, sans-serif" font-size="8" fill="#999">1.0</text>
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<!-- Uniform line reference -->
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<line x1="390" y1="176" x2="595" y2="176" stroke="#ccc" stroke-width="0.8" stroke-dasharray="3,3"/>
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<text x="600" y="174" text-anchor="start" font-family="Arial, sans-serif" font-size="7" fill="#ccc">1/N</text>
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<!-- Bottom note -->
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<text x="325" y="244" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#666">softmax(sᵢ / τ) — lower τ sharpens the distribution, higher τ flattens it</text>
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</svg> |
