flykhan/maths-cs-ai-compendium-zh
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Deployed 2536c93 with MkDocs version: 1.6.1

Browse Source
This commit is contained in:
flykhan
2026-05-03 11:47:30 +08:00
commit 1ff86b66fc
418 changed files with 617336 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files
images/multimodal_action_distribution.svg
+45
View File
@@ -0,0 +1,45 @@
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 700 260" width="700" height="260">
<text x="350" y="22" text-anchor="middle" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#333">Multimodal Actions: Why Regression Averages Fail</text>
<!-- Left: true distribution -->
<text x="175" y="50" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#27ae60">True Action Distribution</text>
<!-- Mode 1 (go left) -->
<ellipse cx="100" cy="140" rx="40" ry="30" fill="#3498db" fill-opacity="0.2" stroke="#3498db" stroke-width="1.5"/>
<text x="100" y="145" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#3498db">Go left</text>
<!-- Mode 2 (go right) -->
<ellipse cx="250" cy="140" rx="40" ry="30" fill="#9b59b6" fill-opacity="0.2" stroke="#9b59b6" stroke-width="1.5"/>
<text x="250" y="145" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#9b59b6">Go right</text>
<!-- Obstacle in middle -->
<rect x="155" y="115" width="40" height="50" rx="5" fill="#e74c3c" fill-opacity="0.3" stroke="#e74c3c" stroke-width="1.5"/>
<text x="175" y="143" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" font-weight="bold" fill="#e74c3c">obstacle</text>
<text x="175" y="210" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#666">Two valid paths around the obstacle</text>
<!-- Divider -->
<line x1="350" y1="45" x2="350" y2="245" stroke="#ccc" stroke-width="1" stroke-dasharray="4,3"/>
<!-- Right: regression vs diffusion -->
<text x="525" y="50" text-anchor="middle" font-family="Arial, sans-serif" font-size="12" font-weight="bold" fill="#e74c3c">Regression Prediction</text>
<!-- Obstacle in middle -->
<rect x="505" y="115" width="40" height="50" rx="5" fill="#e74c3c" fill-opacity="0.3" stroke="#e74c3c" stroke-width="1.5"/>
<text x="525" y="143" text-anchor="middle" font-family="Arial, sans-serif" font-size="8" font-weight="bold" fill="#e74c3c">obstacle</text>
<!-- Mean prediction - right in the obstacle! -->
<line x1="525" y1="90" x2="525" y2="108" stroke="#e74c3c" stroke-width="3"/>
<polygon points="525,115 518,105 532,105" fill="#e74c3c"/>
<text x="525" y="83" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" font-weight="bold" fill="#e74c3c">mean = crash!</text>
<!-- Ghost of the two modes -->
<ellipse cx="450" cy="140" rx="25" ry="20" fill="none" stroke="#ccc" stroke-width="1" stroke-dasharray="3,2"/>
<ellipse cx="600" cy="140" rx="25" ry="20" fill="none" stroke="#ccc" stroke-width="1" stroke-dasharray="3,2"/>
<text x="525" y="195" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#e74c3c">Regression averages the two modes</text>
<text x="525" y="210" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#e74c3c">→ predicts straight into the obstacle</text>
<!-- Bottom note -->
<text x="350" y="248" text-anchor="middle" font-family="Arial, sans-serif" font-size="10" fill="#666">Diffusion / flow-matching action heads can represent both modes without averaging</text>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 3.1 KiB