Principal Component Analysis (PCA) | Dimensionality Reduction | Explained with Example

RoboSathi ยท Beginner ยท๐Ÿ”ข Mathematical Foundations ยท5mo ago

About this lesson

๐Ÿ“– Notes:- https://robosathi.com/docs/machine_learning/unsupervised/dimensionality_reduction/pca/ ๐ŸŽฅ Next Video: t- SNE :- https://youtu.be/kVdMM51bfRM ๐ŸŽฅ Related Video: Constrained Optimization :- https://youtu.be/BDogM9wBQPo ๐Ÿ‘‰ In this video, we will understand Principal Component Analysis (PCA) from intuition to optimization, understanding why it works and what it actually optimizes. ๐ŸŽฏ Learning Objectives โœ… Understand uses of PCA โœ… Explain PCA using example โœ… Formulate PCA as an optimization problem โœ… Understand the PCA algorithm โœ… Identify limitations of PCA ๐Ÿ‘‰ Maths for ML Playlist: https://www.youtube.com/playlist?list=PLnpa6KP2ZQxePOg6k6vAkcg5Y50EAZds9 ๐Ÿ•” Time Stamp ๐Ÿ•˜ 00:00:00 - 00:00:22 Introduction 00:00:23 - 00:02:05 Uses of Principal Component Analysis (PCA) 00:02:06 - 00:05:03 Intuition for PCA 00:05:04 - 00:09:31 Explained PCA with Example 00:09:32 - 00:09:53 What is PCA? 00:09:54 - 00:11:16 Goal - Find the set of Orthogonal axes 00:11:17 - 00:15:33 PCA as Optimization Problem 00:15:34 - 00:20:07 Mathematical projection 00:20:08 - 00:26:51 Constrained Optimization 00:26:51 - 00:28:05 Maximum Variance 00:28:06 - 00:34:24 PCA Algorithm 00:34:25 - 00:35:11 Limitations of PCA 00:35:12 - 00:35:43 What's Next? ๐Ÿค” #ml #ai #pca #algorithmicoptimization #constrained #pca

Original Description

๐Ÿ“– Notes:- https://robosathi.com/docs/machine_learning/unsupervised/dimensionality_reduction/pca/ ๐ŸŽฅ Next Video: t- SNE :- https://youtu.be/kVdMM51bfRM ๐ŸŽฅ Related Video: Constrained Optimization :- https://youtu.be/BDogM9wBQPo ๐Ÿ‘‰ In this video, we will understand Principal Component Analysis (PCA) from intuition to optimization, understanding why it works and what it actually optimizes. ๐ŸŽฏ Learning Objectives โœ… Understand uses of PCA โœ… Explain PCA using example โœ… Formulate PCA as an optimization problem โœ… Understand the PCA algorithm โœ… Identify limitations of PCA ๐Ÿ‘‰ Maths for ML Playlist: https://www.youtube.com/playlist?list=PLnpa6KP2ZQxePOg6k6vAkcg5Y50EAZds9 ๐Ÿ•” Time Stamp ๐Ÿ•˜ 00:00:00 - 00:00:22 Introduction 00:00:23 - 00:02:05 Uses of Principal Component Analysis (PCA) 00:02:06 - 00:05:03 Intuition for PCA 00:05:04 - 00:09:31 Explained PCA with Example 00:09:32 - 00:09:53 What is PCA? 00:09:54 - 00:11:16 Goal - Find the set of Orthogonal axes 00:11:17 - 00:15:33 PCA as Optimization Problem 00:15:34 - 00:20:07 Mathematical projection 00:20:08 - 00:26:51 Constrained Optimization 00:26:51 - 00:28:05 Maximum Variance 00:28:06 - 00:34:24 PCA Algorithm 00:34:25 - 00:35:11 Limitations of PCA 00:35:12 - 00:35:43 What's Next? ๐Ÿค” #ml #ai #pca #algorithmicoptimization #constrained #pca
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Chapters (13)

00:00:22 Introduction
0:23 00:02:05 Uses of Principal Component Analysis (PCA)
2:06 00:05:03 Intuition for PCA
5:04 00:09:31 Explained PCA with Example
9:32 00:09:53 What is PCA?
9:54 00:11:16 Goal - Find the set of Orthogonal axes
11:17 00:15:33 PCA as Optimization Problem
15:34 00:20:07 Mathematical projection
20:08 00:26:51 Constrained Optimization
26:51 00:28:05 Maximum Variance
28:06 00:34:24 PCA Algorithm
34:25 00:35:11 Limitations of PCA
35:12 00:35:43 What's Next? ๐Ÿค”
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