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Brilliant 20% off: http://brilliant.org/DeepFindr/ ▬▬ 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... ▬▬ Support me if you like 🌟 ►Link to this channel: https://bit.ly/3zEqL1W ►Support me on Patreon: https://bit.ly/2Wed242 ►Buy me a coffee on Ko-Fi: https://bit.ly/3kJYEdl ►E-Mail: [email protected] ▬▬ Used Music ▬▬▬▬▬▬▬▬▬▬▬ Music from #Uppbeat (free for Creators!): https://uppbeat.io/t/sulyya/weather-c... License code: ZRGIWRHMLMZMAHQI ▬▬ 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 ▬▬ My equipment 💻 Microphone: https://amzn.to/3DVqB8H Microphone mount: https://amzn.to/3BWUcOJ Monitors: https://amzn.to/3G2Jjgr Monitor mount: https://amzn.to/3AWGIAY Height-adjustable table: https://amzn.to/3aUysXC Ergonomic chair: https://amzn.to/3phQg7r PC case: https://amzn.to/3jdlI2Y GPU: https://amzn.to/3AWyzwy Keyboard: https://amzn.to/2XskWHP Bluelight filter glasses: https://amzn.to/3pj0fK2