Kernel (linear algebra)

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Algebra
Linear algebra

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Linear Algebra in Dirac Notation

Covers linear algebra in Dirac notation, focusing on vector spaces and quantum bits.

Differential Calculus: Applications and Reminders

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Tutorial On Auto-encoders

Explores auto-encoders, covering invertibility conditions, projections, and generalized inverses in linear algebra.

Finite Elements: Variational Formulation

Explains the variational form in finite elements and the use of basic functions.

Finite Element Method: Quadrangular Elements

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

Diagonalization in 3D Linear Algebra

Explores diagonalization in 3D linear algebra, covering conditions for diagonalizability and eigenvectors.

Geodesic convexity: why, and what we need

Explores geodesic convexity and its extension to optimization on manifolds, emphasizing the preservation of the key fact that local minima imply global minima.

Kernel Ridge Regression: Equivalent Formulations and Representer Theorem

Explores Kernel Ridge Regression, equivalent formulations, Representer Theorem, Kernel trick, and predicting with kernels.

Matrix Rank and Linear Systems

Explores matrix rank, subspaces, and their role in solving linear systems of equations.

Electrotechnique: Basics and Applications

Covers the basics of electrotechnique, including linear elements, current regimes, power types, and practical applications.