INI Seminar Room 2 Courses

Tree-Based Diffusion Schrödinger Bridge with Applications to Wasserstein Barycenters

Delve into advanced mathematical concepts of Tree-Based Diffusion Schrödinger Bridge and its applications in Multi-marginal Optimal Transport, focusing on high-dimensional settings and Wasserstein barycenters.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Infinite-Dimensional Diffusion Models for Function Spaces

Explore advanced mathematical concepts of infinite-dimensional diffusion models and their applications in function spaces, focusing on data-driven engineering foundations.

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

Monte Carlo Guided Diffusion for Bayesian Linear Inverse Problems

Explore advanced Monte Carlo guided diffusion techniques for solving Bayesian linear inverse problems, focusing on mathematical and statistical foundations in data-driven engineering.

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

Material Instabilities and Architected Materials - Wave Scattering Analysis

Explore material instabilities through micromechanical analysis of prestressed periodic beam lattices, examining wave behavior, strain localization, and dynamic instabilities in continuum solids.

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

Interacting Particle Langevin Algorithm

Discover the mathematical foundations of Interacting Particle Langevin Algorithms through expert insights on statistical approaches and future data-driven engineering applications.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Calibration of Stochastic Parametrizations for Geophysical Fluid Dynamic Models

Explore the connections between diffusion generative modeling and optimal control, with insights into data assimilation applications for geophysical fluid dynamics parametrization.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Bayesian Imaging with Deep Generative Priors

Delve into Bayesian analysis methodology for high-dimensional inference problems, exploring deep neural networks, manifold hypothesis, and practical applications in imaging using generative models and uncertainty quantification.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Sub-wavelength Imaging with Arrays of Scatterers in Electromagnetic Metamaterials

Delve into electromagnetic metamaterials and metasurfaces, exploring super-resolution imaging through planar polariton-resonant structures and scatterer arrays for advanced wave manipulation applications.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Sequential Bayesian Methods for Parameter Estimation and Applications with Imaging Data

Discover sequential Bayesian approaches for parameter estimation in dynamical systems, focusing on time-varying parameters and practical applications with imaging data.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Exploiting Anisotropy in Gaussian Process Emulation

Explore advanced techniques in Gaussian process emulation, focusing on anisotropic properties and their applications in statistical modeling and data-driven engineering.

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

Radar Imaging from Geosynchronous Orbit - Back to Radar 101

Explore the principles and challenges of radar imaging from geosynchronous orbit, examining its potential for continuous Earth observation and weather monitoring compared to low Earth orbit systems.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Multilevel Monte Carlo Methods with Smoothing

Explore advanced statistical techniques in Multilevel Monte Carlo Methods, focusing on smoothing applications and their mathematical foundations in data-driven engineering.

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

Ocean Wave Propagation in the Marginal Ice Zone - From Consolidated to Broken Ice Covers

Explore ocean wave dynamics in ice-covered seas, examining how waves break up sea ice and affect global climate through mathematical modeling and laboratory experiments.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

The Normal Radon Transform Acting on 3D Tensor Fields

Delve into advanced integral geometry and tensor field reconstruction through normal Radon transform analysis, featuring singular value decomposition and polynomial expressions for inverse operators.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

A Numerical Analysis Perspective on Neural Networks

Delve into neural networks through the lens of numerical analysis, exploring their theoretical foundations using differential equations and discovering new insights into their behavior.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video