Published On Nov 15, 2023
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▬▬ Papers / Resources ▬▬▬
Intro to Dim. Reduction Paper:
https://drops.dagstuhl.de/opus/vollte...
T-SNE Visualization Video:
• A.I. Experiments: Visualizing High-Di...
On the Surprising Behavior of Distance Metrics in High Dimensional Space: https://link.springer.com/chapter/10....
On the Intrinsic Dimensionality of Image Representations
https://arxiv.org/abs/1803.09672
Manifold Learning Intro:
https://nbviewer.org/github/drewwilim...
Cornell Lecture Dim.Red:
https://www.cs.cornell.edu/courses/cs...
Curse of Dimensionality:
https://www.visiondummy.com/2014/04/c...
Manifold visualization:
https://minimal.sitehost.iu.edu/archi...
Dimensionality reduction by UMAP to visualize physical and genetic interactions:
https://pubmed.ncbi.nlm.nih.gov/32210...
Dimensionality reduction and clustering of time series for anomaly detection in a supermarket heating system
https://iopscience.iop.org/article/10...
Dynamical Analysis of the Dow Jones Index Using Dimensionality Reduction and Visualization
https://www.mdpi.com/1099-4300/23/5/600
Image Sources:
MNIST Cloud: https://colah.github.io/posts/2014-10...
Word Embeddings Cloud: https://www.ruder.io/word-embeddings-1/
Molecules Cloud: https://www.nature.com/articles/s4152...
Manifold Visualization: https://minimal.sitehost.iu.edu/archi...
Swiss Roll: https://freepik.com/free-photos-vecto...
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Music from #Uppbeat (free for Creators!):
https://uppbeat.io/t/sulyya/weather-c...
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▬▬ Used Icons ▬▬▬▬▬▬▬▬▬▬
All Icons are from flaticon: https://www.flaticon.com/authors/freepik
▬▬ Timestamps ▬▬▬▬▬▬▬▬▬▬▬
00:00 Introduction
00:35 Basics
01:35 Taxonomy and Overview
02:54 Dim. red. Math Definition
04:01 Curse of Dimensionality
05:55 Brilliant.org Sponsor
07:08 Blessing of Non-Uniformity
08:37 Manifolds
10:00 Manifold Learning / Manifold Hypothesis
11:17 Real-world examples
12:22 Take Aways
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