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Graphs - Geometric Data Analysis - MVA Lecture 3
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Lecture 3 of the geometric data analysis class of the MVA M2 program - Oct. 20, 2022.
Introduction. 0:00
The curse of dimensionality. 4:10
What does a normal distribution look like? 8:06
The manifold hypothesis. 26:41
Overview of the class. 29:22
Why do we care about graphs? 33:25
It's not the encoding that matters - but the geometry that is inside. 39:32
Dimension. 48:32
Hausdorff dimension. 59:28
Curvature. 1:10:10
Curvature on graphs. 1:32:01
Conclusion and introduction to UMAP. 1:44:35
3D models. 01:50:56
Introduction. 0:00
The curse of dimensionality. 4:10
What does a normal distribution look like? 8:06
The manifold hypothesis. 26:41
Overview of the class. 29:22
Why do we care about graphs? 33:25
It's not the encoding that matters - but the geometry that is inside. 39:32
Dimension. 48:32
Hausdorff dimension. 59:28
Curvature. 1:10:10
Curvature on graphs. 1:32:01
Conclusion and introduction to UMAP. 1:44:35
3D models. 01:50:56
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