Conference GSI Courses

From Alan Turing to Contact Geometry: Towards a Fluid Computer

Explore the intersection of hydrodynamics, computation, and contact geometry. Discover how fluid dynamics can simulate universal Turing machines and its implications for undecidable fluid paths and celestial mechanics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Variational Gaussian Approximation of the Kushner Optimal Filter

Explore the Variational Gaussian approximation technique for optimizing the Kushner filter, enhancing signal processing and estimation capabilities.

• YouTube
• 19 minutes
• On-Demand
• Free Video

On the f-Divergences Between Hyperboloid Models

Explore f-divergences between hyperboloid models in this concise conference talk, delving into mathematical concepts and their applications in geometric analysis.

• YouTube
• 12 minutes
• On-Demand
• Free Video

Some Remarks on the Notion of Transition

Explore the concept of transition and its implications in various contexts. Gain insights into this fundamental yet complex idea.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Nonholonomic Systems with Inequality Constraints

Explore nonholonomic systems with inequality constraints, delving into advanced concepts and applications in control theory and robotics.

• YouTube
• 18 minutes
• On-Demand
• Free Video

A Product Shape Manifold Approach for Optimizing Piecewise Smooth Shapes

Explore innovative techniques for optimizing piecewise smooth shapes using a product shape manifold approach.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Existence of Global Minimizer for Elastic Variational Obstacle Avoidance Problems on Riemannian Manifolds

Explore global minimizer existence for elastic variational obstacle avoidance problems on Riemannian manifolds. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 20 minutes
• On-Demand
• Free Video

An Approximate Projection onto the Tangent Cone to the Variety of Third Order Tensors of Bounded Rank

Explore approximate projection techniques for third-order tensors with bounded rank, focusing on tangent cone analysis and applications in tensor decomposition.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Toric Fiber Products in Geometric Modeling

Explore toric fiber products and their applications in geometric modeling, enhancing your understanding of advanced mathematical concepts in computer graphics.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Convex Hulls of Curves, Volumes, and Signatures

Explore convex hulls of curves, volumes, and signatures in geometry, gaining insights into their mathematical properties and applications.

• YouTube
• 16 minutes
• On-Demand
• Free Video

What is Algebraic Statistics?

Explore the intersection of algebra and statistics, uncovering how algebraic methods enhance statistical analysis and modeling.

• YouTube
• 14 minutes
• On-Demand
• Free Video

A Variational Symplectic Scheme Based on Simpson's Quadrature

Explore a variational symplectic scheme utilizing Simpson's quadrature, delving into its mathematical foundations and practical applications in numerical analysis.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams

Explore advanced filtering techniques for geometrically exact beam models using multisymplectic unscented Kalman filters in structural engineering applications.

• YouTube
• 16 minutes
• On-Demand
• Free Video

Structure Preserving Discretization of the Cahn-Hilliard Equations Recast as a Port-Hamiltonian System

Explore structure-preserving discretization of Cahn-Hilliard equations recast as port-Hamiltonian systems, advancing numerical methods in mathematical physics.

• YouTube
• 18 minutes
• On-Demand
• Free Video

Chan Vese Attention U-Net - An Attention Mechanism for Robust Segmentation

Explore an innovative attention mechanism for robust image segmentation using Chan Vese Attention U-Net, enhancing segmentation accuracy and efficiency.

• YouTube
• 20 minutes
• On-Demand
• Free Video