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#Concentration Inequalities

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Institute for Advanced Study

Towards Structural Risk Minimization for RL - Emma Brunskill

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Explore structural risk minimization in reinforcement learning, focusing on efficient learning of risk-sensitive policies using conditional value at risk and optimistic exploration techniques.
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33 Lesons
45 minutes
On-Demand
Free-Video
Simons Institute

Random Restrictions and Fourier Concentration - Part 2

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Explore advanced concepts in Fourier analysis and random restrictions, focusing on their applications in theoretical computer science and mathematical analysis.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Institute

Random Restrictions and Fourier Concentration - Part 1

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Explore random restrictions and Fourier concentration in analysis and theoretical computer science with MIT researcher Esty Kelman.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics III

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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.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure II

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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.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics II

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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.
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1 Lesons
47 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics I

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Explore Gaussian isoperimetry's applications in probability and analysis, including concentration inequalities, noise stability, and Sobolev-type inequalities. Learn proof techniques using geometric measure theory.
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1 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Concentration Inequalities for Poisson U-Statistics

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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.
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1 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Vector-Valued Concentration on the Symmetric Group

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Explore vector-valued concentration inequalities for the symmetric group, examining implications for Banach space geometry and building on recent advancements in discrete hypercube analysis.
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1 Lesons
45 minutes
On-Demand
Free-Video
BIMSA

Operation on Concentration Inequalities and Conjugate of Parallel Sum

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Explore advanced techniques in concentration inequalities, including operations on concentrated vectors and applications of the convex conjugate of parallel sum in measure theory.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Learning from Dependent Data - Lecture 2

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Explores techniques for analyzing and learning from dependent data, focusing on probabilistic and optimization methods in data science.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Alan Turing Institute

Optimal Sampling in Weighted Least-Squares Methods - Application to High-Dimensional Approximation

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Explore optimal sampling in weighted least-squares for high-dimensional approximation, focusing on mathematical foundations and modern approaches to overcome the curse of dimensionality.
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15 Lesons
48 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Learning from Dependent Data - Lecture 1

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Explore techniques for learning from dependent data, focusing on probabilistic and optimization methods in data science. Gain insights into handling interconnected information effectively.
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1 Lesons
47 minutes
On-Demand
Free-Video
BIMSA

Rotationally Invariant First Passage Percolation: Scaling Relations and Chaos - ICBS 2024

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Explore rotationally invariant first passage percolation, scaling relations, and chaos in KPZ universality class through multi-scale analysis and geodesic behavior.
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1 Lesons
57 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Metastability of Glauber Dynamics with Inhomogeneous Coupling Disorder

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Explore metastability in mean-field-like spin systems with random couplings, focusing on Glauber dynamics and quantitative estimates in large volumes at fixed temperatures.
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1 Lesons
34 minutes
On-Demand
Free-Video
Institute for Advanced Study

Concentration on HDX: Derandomization Beyond Chernoff - Lecture

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Explore advanced derandomization techniques beyond Chernoff's bound, focusing on high-dimensional expanders and their applications in theoretical computer science and complexity theory.
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1 Lesons
2 hours 8 minutes
On-Demand
Free-Video
MIT OpenCourseWare

Bounded Differences Inequality and Azuma-Hoeffding Inequality

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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.
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1 Lesons
20 minutes
On-Demand
Free-Video