Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Principal Component Analysis: Theory and Applications

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (46)

Multivariate Statistics: Normal Distribution

Covers the multivariate normal distribution, properties, and sampling methods.

Central Limit Theorem: Properties and Applications Log in to Mediaspace to watch this video

Explores the Central Limit Theorem, covariance, correlation, joint random variables, quantiles, and the law of large numbers.

Eigenstate Thermalization Hypothesis Log in to Mediaspace to watch this video

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Stochastic Models for Communications Log in to Mediaspace to watch this video

Covers random vectors, joint probability density, independent random variables, functions of two random variables, and Gaussian random variables.

Elements of Statistics Log in to Mediaspace to watch this video

Introduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.

Elements of Statistics: Probability and Random Variables Log in to Mediaspace to watch this video

Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.

Principal Component Analysis: Olympic Medals & Image Compression Log in to Mediaspace to watch this video

Explores PCA for predicting medals distribution and compressing face images.

Causal Systems & Transforms: Delay Operator Interpretation Log in to Mediaspace to watch this video

Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.

Probability Distributions in Environmental Studies Log in to Mediaspace to watch this video

Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

PCA: Interactive class Log in to Mediaspace to watch this video

On PCA includes interactive exercises and emphasizes minimizing information loss.

Elements of Statistics: Estimation & Distributions Log in to Mediaspace to watch this video

Covers fundamental statistics concepts, including estimation theory, distributions, and the law of large numbers, with practical examples.

Basics of Risk Analysis and Management Log in to Mediaspace to watch this video

Introduces the basics of risk analysis and management in civil engineering, covering distributions, statistical reminders, and mathematical interpretation techniques.

Probability and Statistics Log in to Mediaspace to watch this video

Introduces key concepts in probability and statistics, covering event likelihood, data analysis, and particle detection.

Eigenvalues and Diagonalization Log in to Mediaspace to watch this video

Covers eigenvalues, eigenvectors, and diagonalization of matrices.

Multivariate Gaussian Distribution Log in to Mediaspace to watch this video

Covers the definition of multivariate Gaussian distribution and its properties, including moment generating function and linear combinations of variables.

Linear Algebra: Proper Bases and Diagonalization Log in to Mediaspace to watch this video

Covers the concept of expressing vectors in proper bases and the importance of diagonalization of matrices.

Canonical Correlation Analysis: Exercises Solutions Log in to Mediaspace to watch this video

Presents solutions to exercises on Canonical Correlation Analysis, exploring correlation, Gram matrices, kernel matrices, and vector properties.

Linear algebraic groups Log in to Mediaspace to watch this video

Covers linear algebraic groups, including special sets and matrix examples.

Bayes' Theorem: Defective Parts Detection Log in to Mediaspace to watch this video

Explores Bayes' Theorem for defective parts detection, discrete random variables, and distribution functions, with practical examples and exercises.

The Hessian and Newton's method Log in to Mediaspace to watch this video

Covers the Hessian and Newton's method for optimization using iterative processes.

Page 2 of 3