INI Seminar Room 2 Courses

Recurrence and Transience of Multidimensional Elephant Random Walks

Delve into the mathematical analysis of multidimensional elephant random walks, exploring their recurrence and transience properties through advanced stochastic systems theory.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Random Walk Isomorphism Theorems for a New Type of Spin System

Delve into advanced mathematical concepts exploring random walk isomorphism theorems and their applications to spin systems, presented by Dr. Swan from EPFL.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Langevin Monte Carlo Beyond Lipschitz Gradient Continuity

Delve into advanced mathematical concepts of Langevin Monte Carlo methods, exploring extensions beyond traditional Lipschitz gradient continuity constraints in stochastic systems.

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

Evaluating Data Linkage: Creating Longitudinal Synthetic Data to Provide Gold-Standard Linked Datasets

Discover how to create and evaluate longitudinal synthetic datasets for population reconstruction, focusing on probabilistic data linkage methods and statistical verification techniques.

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

High-Probability Mixing Time Bound for Gibbs Sampling from Log-Smooth Strongly Log-Concave Distributions

Delve into advanced mathematical analysis of Gibbs sampling for log-smooth strongly log-concave distributions, exploring mixing time bounds and high-probability isoperimetric inequalities in n-dimensional space.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Piecewise Deterministic Monte Carlo for Latent Variable Models - A Case Study

Explore the application and challenges of Piecewise Deterministic Monte Carlo methods in latent variable models, focusing on unbiased gradient properties and theoretical developments.

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

Geometric Functional Inequalities for Markov Chains - Mini-Course

Delve into functional-analytic approaches for analyzing Markov processes, exploring geometric inequalities and their applications in both reversible diffusion processes and discrete-time Markov chains.

• YouTube
• 2 hours 3 minutes
• Self-Paced
• Free Video

Geometric Numerical Methods for Confined Langevin Dynamics

Explore advanced numerical methods for Langevin dynamics, focusing on weak-sense techniques, collision handling, and composition schemes for achieving higher-order approximations in bounded domains.

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

Subexponential Lower Bounds for F-ergodic Markov Processes

Delve into advanced mathematical concepts exploring convergence rates of ergodic Markov processes, featuring novel super- and submartingale conditions and applications to elliptic diffusions and Levy-driven equations.

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

Applications of the Weisfeiler-Leman Algorithm in the Study of Quantum Automorphism Groups of Graphs

Delve into the Weisfeiler-Leman algorithm's applications in quantum automorphism groups of graphs, exploring advanced mathematical concepts and their implications for quantum information theory.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Super-activation: From Channels to Quantum Graphs

Delve into quantum information theory as Dr. Yamashita explores super-activation phenomena, connecting quantum channels with graph theory and revealing their mathematical relationships in operator algebras.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Quantum Graphs and Quantum Colorings via Quantum Relations

Delve into quantum graphs, colorings, and relations through an advanced mathematical exploration led by Dr. Harris, examining cutting-edge developments in quantum information theory.

• YouTube
• 2 hours 6 minutes
• Self-Paced
• Free Video

Analysis of Quantum Boolean Functions and Applications

Delve into quantum Boolean functions analysis and their practical applications in quantum information theory, featuring advanced mathematical concepts and theoretical frameworks.

• YouTube
• 2 hours 7 minutes
• Self-Paced
• Free Video

Introduction to Quantum Graphs

Delve into quantum graphs fundamentals and their applications in quantum information theory through an advanced mathematical exploration led by Oslo University's expert Dr. Yamashita.

• YouTube
• 2 hours 5 minutes
• Self-Paced
• Free Video

From Matrix Product Operator Algebras to Quantum Groups

Delve into the mathematical foundations connecting matrix product operator algebras to quantum groups through an advanced exploration of quantum information theory and mathematical sciences.

• YouTube
• 1 hour 56 minutes
• Self-Paced
• Free Video