Conference GSI Courses

On the Entropy of Rectifiable and Stratified Measures

Explore entropy concepts for rectifiable and stratified measures, delving into mathematical intricacies and theoretical foundations.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

SL(2, Z)-Equivariant Machine Learning with Modular Forms - Theory and Applications

Explore SL(2, Z)-equivariant machine learning, delving into modular forms theory and its practical applications in advanced mathematical modeling.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

A Historical Perspective on Schützenberger-Pinsker Inequalities

Explore the historical development and significance of Schützenberger-Pinsker inequalities in information theory and probability theory.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Pseudo Dihedral Angles in Proteins - A New Description of the Ramachandran Map

Explore a novel approach to protein structure analysis using pseudo dihedral angles, offering fresh insights into the Ramachandran map and its implications for protein folding.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Temporal Alignment of Human Motion Data - A Geometric Point of View

Explore geometric approaches to temporally align human motion data, focusing on innovative techniques and their applications in motion analysis.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Exploration of Conformations for an Intrinsically Disordered Protein

Explore conformations of intrinsically disordered proteins, delving into their unique structural characteristics and functional implications in biological systems.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

A Linear Program for Points of Interest Relocation in Adaptive Maps

Explore an innovative linear program for relocating points of interest in adaptive maps, enhancing cartographic visualization and user experience.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Conformal Submersion with Horizontal Distribution and Geodesics

Explore conformal submersion, horizontal distribution, and geodesics in differential geometry, enhancing understanding of these advanced mathematical concepts.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

On the Tangent Bundles of Statistical Manifolds

Explore tangent bundles of statistical manifolds, delving into advanced concepts in differential geometry and information geometry.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Polysymplectic Souriau Lie Group Thermodynamics and the Geometric Structure of Its Coadjoint Orbits

Explore advanced geometric thermodynamics, focusing on polysymplectic Souriau Lie group theory and coadjoint orbit structures in mathematical physics.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups

Explore Riemannian geometry of Gibbs cones linked to nilpotent orbits in simple Lie groups, delving into advanced mathematical concepts and their applications.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Canonical Hamiltonian Systems in Symplectic Statistical Manifolds

Explore canonical Hamiltonian systems within symplectic statistical manifolds, delving into advanced mathematical concepts and their applications.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Symplectic Foliation Transverse Structure and Libermann Foliation of Heat Theory and Information

Explore advanced mathematical concepts in symplectic geometry, focusing on foliation structures and their applications to heat theory and information science.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

A Neurogeometric Stereo Model for Individuation of 3D Perceptual Units

Explore a neurogeometric model for stereo vision and 3D perceptual unit individuation, focusing on sub-Riemannian structures and horizontal curves.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Group Equivariant Sparse Coding

Explore group equivariant sparse coding techniques and their applications in data analysis and machine learning.

• YouTube
• 24 minutes
• Self-Paced
• Free Video