Lectures related to Distance | EPFL Graph Search

Explores a nonlinear version of Bourgain's Projection Theorem and its diverse applications in mathematics.

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Explores the historical development of projective geometry and the contributions of key figures like Alberti and Piero della Francesca.

Introduces orthonormal bases in 3D space and their applications in geometry.

Covers isometries, transformations preserving distances and properties related to collinearity.

Explores the application of the representer theorem in kernel methods and its implications in regularized ERM.

Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.

Covers the concept of orthogonality between vectors and the notion of distance between functions.

Covers the standard properties of distance and norm in vector spaces.

Explores intersections of lines and medians in a square geometry context.

Covers metric spaces, isometric embeddings, and equilateral spaces with examples and proofs.

Covers the implementation of Kohonen Maps in mini project 1.

Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Explores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.

Discusses isometric triangles, their properties, conditions for determination, and distance between points.

Covers the analytical study of the plan, focusing on points and lines.

Explores midpoint, equations, angles, and projections in analytical geometry.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Covers the analysis of ARV, focusing on minimizing distances between points in cutis vis.