Concentration Inequalities Courses and Certifications

Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure II

Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.

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

BIMSA

Operation on Concentration Inequalities and Conjugate of Parallel Sum

Explore advanced techniques in concentration inequalities, including operations on concentrated vectors and applications of the convex conjugate of parallel sum in measure theory.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Concentration Inequalities for Poisson U-Statistics

Explore concentration inequalities for Poisson U-statistics, their optimality, and applications in stochastic geometry models. Gain insights into Poisson functionals and their significance in geometric analysis.

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

Hausdorff Center for Mathematics

Vector-Valued Concentration on the Symmetric Group

Explore vector-valued concentration inequalities for the symmetric group, examining implications for Banach space geometry and building on recent advancements in discrete hypercube analysis.

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

Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure III

Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.

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

Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure I

Explore concentration inequalities in probability and geometric analysis, focusing on functional inequalities and their applications to Lipschitz functions in continuous and discrete settings.

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

Institute for Mathematical Sciences

Optimal Transport and High-Dimensional Probability - Functional Inequalities and Concentration of Measure

Explore functional inequalities, concentration of measure, and transport inequalities in high-dimensional probability, including sub-Gaussian variables and the entropy method.

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

Hausdorff Center for Mathematics

On Gilles Pisier's Approach to Gaussian Concentration, Isoperimetry, and Poincare-Type Inequalities

Explore advanced mathematical concepts in measure concentration, isoperimetry, and Poincaré-type inequalities through Pisier's approach and its extensions to rotationally invariant distributions.

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

IIT Kanpur;  NPTEL

Probability for Computer Science

Explore probability theory and its applications in computer science, covering finite spaces, random variables, concentration inequalities, stochastic processes, and streaming algorithms.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

IIT Kharagpur;  NPTEL

Selected Topics in Algorithms

Advanced algorithm design techniques for efficient problem-solving in computer science. Covers network flows, randomization, approximation algorithms, and parameterized algorithms for various applications.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Institute for Advanced Study

Towards Structural Risk Minimization for RL - Emma Brunskill

Explore structural risk minimization in reinforcement learning, focusing on efficient learning of risk-sensitive policies using conditional value at risk and optimistic exploration techniques.

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

Large Deviations - Chebyshev and Chernoff Bound, Wrap Up - Lecture 24

Explore large deviation theory through Chebyshev and Chernoff bounds in this comprehensive mathematics lecture for computer science applications.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Bounded Differences Inequality and Azuma-Hoeffding Inequality

Master probabilistic analysis through the Bounded Differences Inequality, exploring its applications in coupon collection and random graph coloring, with focus on Lipschitz functions and concentration bounds.

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

Chernoff Bounds - Lecture 9

Master Chernoff's theorem for bounding tail probabilities of sums of independent random variables in discrete applied mathematics.

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

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics III

Explore Gaussian isoperimetry's applications in probability and analysis, including concentration inequalities, noise stability, and Sobolev-type inequalities. Learn proof methods from geometric measure theory.

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