Lectures related to Dyadics | EPFL Graph Search

Orthogonality and Gram-Schmidt Process

Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.

Vector Products: Dot and Cross - Part 2

Covers the concepts of dot and cross products of vectors and their applications.

Tensor Operations: Dot and Cross Products

Covers tensor operations, focusing on dot and cross products and their geometric interpretation.

Linear constraints: Basic directions

Explores feasible directions in linear constraints and the conditions for feasibility.

Fourier Analysis: Stokes Theorem

Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.

Reducing the number of parameters: Outer-product representation

Covers reducing parameters in convolutional filters through outer-product representation.

Indicial Notation and Tensor Components

Covers the manipulation of indicial notation and tensor components, focusing on concepts such as indical notation, free indices, contraction, and the dot product.

Surface Integral: Understanding Variable Positions

Explores surface integrals and variable positions, emphasizing sign inversion and induced paths.

Derivatives and Differential Equations

Covers trigonometric functions, derivatives, differential equations, and vector properties.

Dot Product: Properties and Applications

Explores the properties and applications of the dot product in vector spaces.

Support Vector Machine: Primal Formulation with Hard Margin

Covers the Support Vector Machine with a hard margin formulation and the importance of maximizing the margin between classes.

Geometric Properties of Dot Product

Covers the geometric properties of the dot product and its algebraic aspects.

Vectors: Dot Product

Covers the dot product between vectors and orthogonal projections.

Kernel Methods: Efficient Dot Product Computation

Demonstrates efficient dot product computation and introduces nonlinear boundaries in the original space.

Physics 1: Vectors and Dot Product

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Metric Tensor: Definition

Explores the definition and properties of the metric tensor, enabling control of geometric quantities and lengths.

Second Fundamental Tensor

Explores the second fundamental tensor and its role in calculating normal curvature on surfaces.

Vector Representation of Signals

Explores the vector representation of signals, orthogonal functions, and Fourier series.

Dot Product: Definition and Geometric Interpretation

Explains the dot product of vectors and its geometric interpretation as signed volume.

Projectile Motion: Equations and Examples

Explains projectile motion equations and examples, covering vectorial equations, scalar and vector quantities, Newton's laws, and gravitational forces.