Fields Institute Courses

Towards Analytic Learning Theory: Regret Analysis

Explore the regret analysis approach to analytic learning theory with Wojciech Szpankowski from Purdue University in this Fields Institute conference presentation.

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

Cycle Structure of Random Parking Functions

Explore the cycle structure of random parking functions in this mathematical analysis presented by Mei Yin from the University of Denver.

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

A Unified Theory for Up-Down Chains

Explore a unified theoretical framework for up-down chains in probabilistic and combinatorial analysis, presented by Kelvin Rivera-Lopez from Gonzaga University.

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

Asymptotics of Multivariate Algebraic Generating Functions

Explore the mathematical theory behind asymptotics of multivariate algebraic generating functions in this Fields Institute presentation by Tia Ruza from University of Waterloo.

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

Fast Estimates for Clustering Similarity

Discover fast estimation techniques for clustering similarity, exploring probabilistic and asymptotic methods for algorithm analysis with Conrado Martínez.

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

Asymptotics of Regular Sequences

Explore the mathematical foundations and asymptotic behaviors of regular sequences with Clemens Heuberger in this specialized mathematical analysis presentation.

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

Semisupervised Community Detection via Quasi-Stationary Distributions

Explore the mathematical foundations of community detection using quasi-stationary distributions in this advanced probabilistic analysis presentation by Michael Nisenzon.

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

On the Resolvability and Metric Dimension of Jaccard Spaces

Explore probabilistic and combinatorial methods for analyzing the resolvability and metric dimension of Jaccard spaces in algorithmic analysis.

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

On the Probability of a Pareto Record

Delve into the mathematical analysis of Pareto records with James Allen Fill, exploring probabilistic and combinatorial methods in algorithmic analysis.

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

On Holes in Brownian Bubbles

Explore the mathematical concept of holes in Brownian bubbles with Yuliy Baryshnikov in this probabilistic analysis presentation from the AofA 2025 conference.

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

The Ends of a Branched Structure Are Necessarily Close

Explore the mathematical concept of how ends in branched structures exhibit inherent proximity, presented by Torin Greenwood at the AofA 2025 conference.

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

Boltzmann Sampler for Directed Acyclic Graphs

Explore the Boltzmann Sampler methodology for generating directed acyclic graphs in this mathematical conference presentation from the AofA 2025 event.

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

Limiting Distributions of Some of the Graham, Knuth, Patashnik Recurrences

Explore limiting distributions of Graham, Knuth, and Patashnik recurrences in this mathematical analysis presented by Pawel Hitczenko from Drexel University at the AofA 2025 conference.

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

On the Number of Graphs with Twin-Width 1

Explore the mathematical analysis of graphs with twin-width 1 in this probabilistic and combinatorial research presentation by Bernhard Gittenberger.

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

Asymptotic Enumeration of Large Genus Maps Using Random Walks

Explore asymptotic enumeration techniques for large genus maps through random walk analysis with Michael Wallner from Graz University of Technology.

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