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

Home

Lecture

Singular Value Decomposition: Image Compression and Applications

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (46)

Singular Value Decomposition Log in to Mediaspace to watch this video

Covers the Singular Value Decomposition theorem and its application in decomposing matrices.

Singular Value Decomposition: Orthogonal Vectors and Matrix Decomposition Log in to Mediaspace to watch this video

Explains Singular Value Decomposition, focusing on orthogonal vectors and matrix decomposition.

Unsupervised Learning: Principal Component Analysis Log in to Mediaspace to watch this video

Covers unsupervised learning with a focus on Principal Component Analysis and the Singular Value Decomposition.

Jordan decomposition Log in to Mediaspace to watch this video

Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.

Dimensionality Reduction Log in to Mediaspace to watch this video

Explores Singular Value Decomposition and Principal Component Analysis for dimensionality reduction, with applications in visualization and efficiency.

Matrix Determinants: Properties and Calculations Log in to Mediaspace to watch this video

Covers the properties and calculations of matrix determinants, including special cases and examples.

Singular Values and Norms: Understanding Linear Maps with SVD Log in to Mediaspace to watch this video

Explores singular value decomposition and its role in understanding linear maps.

Linear Algebra: Matrix Decomposition and Base Change Log in to Mediaspace to watch this video

Covers the algorithm for matrix decomposition and base change in linear algebra.

Computational Science and Engineering: Master Program Overview Log in to Mediaspace to watch this video

Outlines the Master in Computational Science and Engineering program at EPFL, detailing its structure, projects, and career opportunities for graduates.

Factorisation QR: Gram-Schmidt Process Log in to Mediaspace to watch this video

Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.

Spectral Decomposition Log in to Mediaspace to watch this video

Explores spectral and singular value decompositions of matrices.

Eigenvalues and Eigenvectors Decomposition Log in to Mediaspace to watch this video

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.

Spectral Decomposition and SVD Log in to Mediaspace to watch this video

Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.

Characterization of Invertible Matrices Log in to Mediaspace to watch this video

Explores the properties of invertible matrices, including unique solutions and linear independence.

QR Factorization: Orthogonal Bases and Matrices Log in to Mediaspace to watch this video

Explores QR factorization, orthogonal bases, and matrices for numerical computations and solving systems of equations.

LU Factorization: Solution Log in to Mediaspace to watch this video

Explains the step-by-step process of LU factorization of a matrix.

QR Factorization and Least Squares Log in to Mediaspace to watch this video

Explores QR factorization and the least squares method for solving systems of equations.

Nonlinear Equation Resolution: Introduction to Bisection Method Log in to Mediaspace to watch this video

Introduces the bisection method for resolving nonlinear equations using numerical techniques and Python programming.

Linear Systems: Factorization and Cholesky Log in to Mediaspace to watch this video

Explores linear systems, Cholesky factorization, LU factorization, and matrix precision.

Matrix Factorization: LU Decomposition Log in to Mediaspace to watch this video

Explores LU decomposition for matrix factorization and solving linear systems.

Page 2 of 3