Lectures related to Geometric algebra

Why are there so many saddle points?: Loss landscape and optimization methods

Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Introduction de la ROTORÉFLEXION

Introduces rotoréflexion, a transformation involving reflections and rotations, with practical geometric applications.

Translations and Homotheties

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Geometric Examples MOOC: Linear Algebra (Part 2)

Explores geometric examples related to linear applications in algebra.

Rotations (2D): Definitions and Analytical Expressions

Covers the concept of 2D rotations and their analytical expressions.

AI4Science at Microsoft: Catalyst Design & Material Discovery

Explores AI4Science at Microsoft, focusing on catalyst design, reaction mechanisms, and material discovery using Clifford algebra.

Geometric Interpretation of Determinants

Explores the geometric interpretation of determinants in R2 and R3 vector spaces.

Isometries: Final Panorama

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

Vector Spaces: Definition, R2 MOOC: Linear Algebra (Part 1)

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Geometry: Solving Equations and Topological Transformations

Explores solving equations, sketch behavior, and topological transformations in geometry.

Vectors: Coordinate Calculations

Covers calculations in coordinates for vectors, including bases, scalar product, and determinants, with geometric interpretations and examples.

Discrete variables: Geometric properties MOOC: Geographical Information Systems 2

Covers geometric properties of discrete variables in GIS, including location, size, and shape.

Geometric Transformations in the Plane: Orientation

Covers the concept of orientation in the plane and transformations using matrices.

Scalar Product MOOC: Warm-up for EPFL

Explains the concept of scalar product, its properties, and geometric interpretation.

Geometric Modeling of Parallel Robots

Explores the development of geometric models for parallel robots using coordinate transformations and analytical calculations.

Geometric Transformations in the Plane: Examples

Explores geometric transformations in the plane through rotation and reflection examples, emphasizing analytical formulas and characteristic elements.

Geometric Transformations: Reflections and Translations Log in to Mediaspace to watch this video

Explores reflections and translations in geometric transformations, demonstrating their stability and practical applications.

Geometry II: Modern Geometric Transformations Log in to Mediaspace to watch this video

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Vectors in Space: Properties and Interpretations Log in to Mediaspace to watch this video

Explores properties and interpretations of vectors in space, including mixed product and linear dependence.