Uniform Manifold Approximation and Projection (UMAP) | Dimensionality Reduction Techniques (5/5)
ฝัง
- เผยแพร่เมื่อ 18 พ.ค. 2024
- ▬▬ Papers / Resources ▬▬▬
Colab Notebook: colab.research.google.com/dri...
Sources:
- TDA Introduction: www.frontiersin.org/articles/...
- TDA Blogpost: chance.amstat.org/2021/04/top...
- TDA Applications Blogpost: orbyta.it/tda-in-a-nutshell-h...
- TDA Intro Paper: arxiv.org/pdf/2006.03173.pdf
- Mathematical UMAP Blogpost: topos.site/blog/2024-04-05-un...
- UMAP Author Talk: • UMAP Uniform Manifold ...
- UMAP vs. t-SNE Global preservation paper: dkobak.github.io/pdfs/kobak20...
- Fuzzy Topology Slidedeck: speakerdeck.com/lmcinnes/umap...
- Short UMAP Tutorial: jyopari.github.io/umap.html
Image Sources:
- Thumbnail Image: johncarlosbaez.wordpress.com/...
- Persistent Homology: orbyta.it/tda-in-a-nutshell-h...
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▬▬ Timestamps ▬▬▬▬▬▬▬▬▬▬▬
00:00 Introduction
00:32 Local vs. Global Technqiues
1:25 Is UMAP better?
02:08 The Paper
02:40 Topological Data Analysis Primer
04:04 Simplices
05:04 Filtration
06:22 Persistent Homology
07:02 UMAP Overview
07:40 Step 1: Graph construction
08:25 Uniform distribution
09:44 Non-uniform real-world data
10:48 Enforcing uniformity
12:05 Exponential decay
12:43 Local connectivity constraint
14:24 Distance function
16:19 Local metric spaces
17:00 Fuzzy simplicial complex
18:38 The full picture of step 1
19:10 Step 2: Graph layout optimization
19:55 Comparing graphs
21:15 Cross entropy loss
22:14 Attractive and repulsive forces
22:56 More details
24:04 Code
26:28 t-SNE vs. UMAP
27:24 Outro
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Your videos are great, super high quality and clear explanations. Thanks you so much!
Excellent.
BEST DIMENSIONAL REDUCTION VIDEO SERIES EVER! You are the 3blue1brown for data mining.
Thanks for the nice words!
Perfect! Just in time for my ML final lmao
Haha awesome! Good luck :)