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#Optimal Transport

Showing: 92 courses
Association for Computing Machinery (ACM)

Quantized Optimal Transport Reward-based Reinforcement Learning Approach to Detoxify Query Auto-Completion - Lecture 1

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Explore a novel reinforcement learning approach for detoxifying query auto-completion using quantized optimal transport rewards.
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1 Lesons
14 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

Optimal Transport Enhanced Cross-City Site Recommendation - T2.4

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Explore optimal transport techniques for cross-city site recommendations, enhancing POI suggestions through advanced computational methods.
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1 Lesons
12 minutes
On-Demand
Free-Video
Computational Genomics Summer Institute CGSI

Uncovering Cellular Dynamics and Metabolism with Geometric Deep Learning and Optimal Transport

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Explore geometric deep learning and optimal transport techniques for uncovering cellular dynamics and metabolism in this insightful computational genomics presentation.
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1 Lesons
27 minutes
On-Demand
Free-Video
ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 3

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Explore geometric measure theory and optimal transport with a focus on Monge-Ampère equations and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Statistical Estimation of Optimal Transport Potentials

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Explorez les méthodes statistiques pour estimer les potentiels de transport optimal et leurs applications en analyse de données.
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1 Lesons
51 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Structured Prediction with Sparse Wasserstein Barycenters

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Explorez la prédiction structurée avec les barycentres de Wasserstein clairsemés. Apprenez les concepts clés et les applications de cette technique mathématique avancée.
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1 Lesons
49 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Barycenters for Probability Distributions Based on Optimal Weak Mass Transport

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Explore optimal weak mass transport for probability distributions, focusing on barycenters and their applications in mathematical analysis.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Some Bounds for the Wasserstein Distance Between the Empirical Measure

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Explorez les limites de la distance de Wasserstein entre la mesure empirique, en approfondissant les concepts mathématiques avancés et leurs applications statistiques.
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1 Lesons
35 minutes
On-Demand
Free-Video
GERAD Research Center

Data-Driven Decision Making with Entropic Risk Measure

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Explore data-driven decision-making using entropic risk measure. Learn bias correction techniques and apply them to project selection, portfolio optimization, and insurance pricing.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Optimal Transport for Graphs: Definitions and Applications to Graph-Signal Processing

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Explore optimal transport for graphs, including definitions and applications to graph-signal processing. Gain insights from Nicolas Courty's expert perspective.
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1 Lesons
55 minutes
On-Demand
Free-Video
Alan Turing Institute

Breaking the Curse of Dimension in Quantum Mechanical Computations Through Analysis and Probability

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Explore quantum mechanical computations, focusing on breaking dimensional constraints through analysis and probability. Learn about density functional theory and recent approaches to tackle existing issues.
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10 Lesons
26 minutes
On-Demand
Free-Video
Fields Institute

Neural SDEs, Deep Learning and Stochastic Control

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Explore neural SDEs, deep learning, and stochastic control in finance, covering optimal transport, neural networks, calibration, and simulations with practical applications.
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17 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

How Optimal Transport Can Help Us to Determine Curvature of Complex Networks

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Explore Ollivier Ricci curvature in complex networks, its applications in network analysis, and implementation in chemical reaction networks using optimal transport theory.
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14 Lesons
56 minutes
On-Demand
Free-Video
IEEE Signal Processing Society

Learning Distances for Attributed Graphs with Optimal Transport

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Explore optimal transport techniques for learning distances between attributed graphs, enhancing graph analysis and comparison methods in data science.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Studying the Space of Persistence Diagrams Using Optimal Partial Transport II

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Exploring persistence diagrams through optimal transport theory, bridging topological data analysis with measure spaces to characterize convergence and prove new results in random settings.
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1 Lesons
30 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 2

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Explore particle methods for measure optimization, focusing on theoretical foundations and practical applications in data science and machine learning.
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1 Lesons
2 hours 19 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Computational Optimal Transport - A Mini Tutorial

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Overview of novel approaches to compute optimal transport, blending recent techniques including convex optimization, automatic differentiation, and neural networks for large-scale approximations in high-dimensional regimes.
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1 Lesons
2 hours 12 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Topological Node2vec: Improving Graph Embeddings with Persistent Homology

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Exploring persistent homology to enhance graph embeddings, combining topology with machine learning for improved data analysis and representation in complex networks.
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1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids

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Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.
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20 Lesons
46 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

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Explore advanced concepts in geometric measure theory, including zero forms, currents, and rectifiability theorems, with applications to area-minimizing problems in mathematics.
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17 Lesons
1 hour 40 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

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Explore advanced concepts in geometric measure theory, including currents, boundaries, and regularity theory for area-minimizing surfaces, with applications to optimal transport problems.
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15 Lesons
1 hour 53 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity Theory for Area-Minimizing Currents - Lecture 5

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Explore advanced concepts in geometric measure theory, focusing on regularity theory for area-minimizing currents. Gain insights from experts De Lellis and Spadaro in this in-depth lecture.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 3

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Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 2

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Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
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1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
Fields Institute

Introduction to the Riemannian Curvature Dimension Condition - Lecture 1

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Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Alan Turing Institute

Learning From Ranks, Learning to Rank - Jean-Philippe Vert, Google Brain

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Explore differentiable approaches to integrate permutations, sorting, and ranking in machine learning, focusing on embedding techniques and relaxation of ranking operators.
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24 Lesons
42 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Optimal Transport of Matrix-Valued Measures - SIAM PDE Seminar

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Explore optimal transport of matrix-valued measures, inspired by incompressible Euler equations. Discover a matricial analogue of Hellinger-Kantorovich metric spaces in this advanced mathematical seminar.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Entropic Optimal Transport - Eighteenth SIAM Activity Group on FME Virtual Talk

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Explore entropic regularization in optimal transport with Marcel Nutz. Learn about convergence, local behavior, and applications in high-dimensional data problems.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Mathematical Framework and Numerical Aspects of Adapted Optimal Transport

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Explore mathematical frameworks for transfer learning and numerical aspects of adapted optimal transport in financial mathematics and engineering through expert talks from leading researchers.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Quantum Dynamics and Optimal Transport

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Explore quantum dynamics and optimal transport with François Golse, discussing the application of Monge's theory to quantum states and its implications for mean-field and classical limits in quantum mechanics.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Dual of the Dual Formula for Distance in Noncommutative Geometry

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Explore Connes's spectral distance and its dual formula in noncommutative geometry, extending Kantorovich's and Beckmann's concepts from optimal transport theory.
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1 Lesons
46 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differentiating in a Non-Differentiable Environment

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Explore differentiation in non-differentiable spaces, extending beyond traditional smooth manifolds to spaces with Ricci curvature bounds. Gain insights into advanced mathematical concepts.
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1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Synthetic Time-like Ricci Curvature Lower Bounds: The Isoperimetric Inequality

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Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.
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1 Lesons
38 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds

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Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.
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1 Lesons
49 minutes
On-Demand
Free-Video
Valence Labs

Likelihood Training of Schrödinger Bridge Using Forward-Backward SDEs Theory

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Explore likelihood training of Schrödinger Bridge using Forward-Backward SDEs theory for deep generative modeling, offering mathematical flexibility and optimization principles.
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8 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Optimal Transport and High Dimensional Probability - Introduction to Optimal Transport

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Explore optimal transport theory and its applications in high-dimensional probability, focusing on fundamental concepts and recent developments in this mathematical field.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Optimal Transport and High Dimensional Probability in Wasserstein Spaces

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Explore optimal transport theory and high-dimensional probability in Wasserstein spaces, delving into advanced mathematical concepts and their applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

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

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Explore functional inequalities, concentration of measure, and transport inequalities in high-dimensional probability, including sub-Gaussian variables and the entropy method.
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1 Lesons
52 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Optimal Transport and High-Dimensional Probability - Langevin Dynamics via Calculus

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Explore optimal transport, high-dimensional probability, and Langevin dynamics through advanced calculus techniques in this mathematical deep dive.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Optimal Transport and High-Dimensional Probability - Otto's Calculus on Wasserstein Space

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Explore optimal transport and high-dimensional probability through Otto's Calculus on Wasserstein spaces, delving into advanced mathematical concepts and their applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Invariant Integrated Convexity Profiles for Hamilton-Jacobi-Bellman Equations

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Explore invariant integrated convexity profiles for Hamilton-Jacobi-Bellman equations in this mathematical conference talk by Giovanni Conforti, delving into PDE and probability interactions.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Minimal Surfaces and the Isoperimetric Inequality

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Explore the generalization of the isoperimetric inequality to submanifolds in Euclidean space, focusing on minimal submanifolds and their sharp isoperimetric properties.
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1 Lesons
55 minutes
On-Demand
Free-Video
Kavli Institute for Theoretical Physics

ML for the Theory Frontier - Jesse Thaler

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Explore machine learning applications in theoretical physics, from lattice field theory to collider geometry, and its potential impact on various aspects of high-energy physics research.
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14 Lesons
33 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Nonlinear Reduced Basis Methods and Transport in Electronic Structure Calculation

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Explore nonlinear reduced basis methods and optimal transport for efficient electronic structure calculations, focusing on a 1D toy model with potential extensions to larger systems.
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1 Lesons
53 minutes
On-Demand
Free-Video
Alan Turing Institute

Fluid Mechanics-Informed Machine Learning - Successes and Failures

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Explore machine learning approaches for fluid mechanics simulations, including physics-based features and CNNs, with insights on successes and challenges in speeding up predictions.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IPhT-TV

Statistical Physics of Optimal Transport

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Explore statistical physics principles applied to optimal transport problems, unraveling complex systems through mathematical modeling and analysis.
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1 Lesons
34 minutes
On-Demand
Free-Video
Simons Institute

Information Constrained Optimal Transport

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Explore information-constrained optimal transport theory and its applications in trustworthy machine learning with Stanford researcher Ayfer Ozgur.
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1 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 3

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Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.
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1 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Optimal Transport with Respect to Non-Traditional Costs

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Explore optimal transport with non-traditional costs, focusing on c-transforms, c-subgradients, and conditions for Brenier-type maps. Includes examples like the polar cost in function polarity transforms.
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13 Lesons
59 minutes
On-Demand
Free-Video
Alan Turing Institute

Optimal Transport for Machine Learning - Gabriel Peyre, Ecole Normale Superieure

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Explore optimal transport in machine learning, covering Kantorovitch's formulation, entropic regularization, and applications in generative models and GANs. Gain insights into cutting-edge advances in data science.
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15 Lesons
42 minutes
On-Demand
Free-Video
Alan Turing Institute

Regularization for Optimal Transport and Dynamic Time Warping Distances - Marco Cuturi

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Explore regularization techniques for optimal transport and dynamic time warping distances, focusing on smoothing strategies to enhance machine learning applications and Fréchet mean computation.
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29 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

Optimal Transport and PDE - Gradient Flows in the Wasserstein Metric

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Explore gradient flows in Wasserstein metric, continuity equations, and aggregation dynamics. Learn about two-layer neural networks and chi-squared divergence in optimization and sampling.
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17 Lesons
59 minutes
On-Demand
Free-Video
Simons Institute

Crash Course on Optimal Transport

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Explore optimal transport theory, its applications, and key concepts like cost formulation, optimal coupling, and transport maps in this comprehensive lecture.
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10 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Brownian Transport Map - IPAM at UCLA

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Explore Lipschitz transport maps between probability measures, focusing on the Brownian transport map's construction, properties, and applications to Euclidean functional inequalities.
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10 Lesons
24 minutes
On-Demand
Free-Video
ICTP Mathematics

Introduction to Optimal Transportation and Monge Ampère Type Equations - Lecture 2

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Explore optimal transportation and Monge Ampère equations, covering key concepts like super differentials, isoperimetric problems, and probability measures in this advanced mathematics lecture.
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15 Lesons
1 hour 58 minutes
On-Demand
Free-Video
ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 1

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Explore optimal transportation, Monge-Ampère equations, and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio from Scuola Normale Superiore di Pisa.
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1 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Alan Turing Institute

From Denoising Diffusion Models to Transport for Generative Modeling and Inference

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Explore advanced generative modeling techniques, from denoising diffusion models to transport-based approaches, focusing on diffusion Schrödinger bridge and its numerical approximation for improved inference.
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1 Lesons
44 minutes
On-Demand
Free-Video
Paul G. Allen School

Statistical Applications of Wasserstein Gradient Flows

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Explore statistical applications of Wasserstein gradient flows in optimal transport, covering Otto calculus, Riemannian structures, and applications to variational inference and Gaussian mixture models.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Institute

Stable Matching by Optimal Transport

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Explore matching models with aligned preferences, focusing on supply-demand imbalances in markets like organ donation. Learn about stability, fairness, and optimal transport connections in matching theory.
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1 Lesons
33 minutes
On-Demand
Free-Video
Fields Institute

Renormalization Group Flow, Optimal Transport, and Diffusion Models

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Explore connections between renormalization group flow, optimal transport, and diffusion models in applied mathematics, with insights from Harvard researcher Jordan Cotler.
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1 Lesons
47 minutes
On-Demand
Free-Video
Valence Labs

Transport, Variational Inference and Diffusions

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Explore connections between optimal transport and variational inference, focusing on stochastic differential equations and Girsanov transformations. Discover novel sampling and generative modeling techniques.
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7 Lesons
58 minutes
On-Demand
Free-Video
Valence Labs

A Computational Framework for Solving Wasserstein Lagrangian Flows

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Explore a computational framework for solving Wasserstein Lagrangian flows, covering optimal transport variations and applications in single-cell trajectory inference.
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8 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Valence Labs

Action Matching: Learning Stochastic Dynamics from Samples

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Explore Action Matching for learning stochastic dynamics from samples. Discover applications in quantum systems, biology, and generative modeling. Gain insights into novel approaches for simulating trajectories.
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10 Lesons
1 hour 52 minutes
On-Demand
Free-Video
Valence Labs

Equivariant Flow Matching for Deep Generative Models in Physics

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Explore equivariant flow matching for efficient, simulation-free training of equivariant CNFs in physics and drug discovery, improving sampling efficiency and scalability for many-particle systems.
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10 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Valence Labs

Improving and Generalizing Flow-Based Generative Models with Minibatch Optimal Transport

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Explore advanced techniques for improving continuous normalizing flows, including generalized conditional flow matching and optimal transport CFM, enhancing generative modeling for various applications.
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10 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Computational Genomics Summer Institute CGSI

Single Cell Data Integration Using Optimal Transport - 2023

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Explore single-cell data integration using optimal transport. Learn unsupervised algorithms for multi-omic studies, alignment techniques, and performance quantification in computational genomics.
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23 Lesons
27 minutes
On-Demand
Free-Video
Conference GSI

The Total Variation Wasserstein Problem - A New Derivation of the Euler-Lagrange Equations

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Explore a novel derivation of Euler-Lagrange equations for the Total Variation Wasserstein problem, advancing understanding in mathematical optimization and transport theory.
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1 Lesons
22 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Error Bounds for Mean-Payoff Markov Decision Processes

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Explore optimal transport techniques for error bounds in reinforcement learning, focusing on mean-payoff Markov decision processes and stochastic fixed point iterations.
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1 Lesons
29 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Computational Optimal Transport: Mature Tools and Open Problems

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Explore computational optimal transport's advancements, applications in 3D shape analysis, and open challenges. Gain insights into state-of-the-art tools for efficient distribution analysis and geometric data processing.
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1 Lesons
56 minutes
On-Demand
Free-Video
BIMSA

A Renormalisation Group Perspective on Functional Inequalities - ICBS 2024

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Explore multiscale analysis for decomposing high-dimensional measures, deriving functional inequalities using renormalization group methods in statistical physics.
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1 Lesons
50 minutes
On-Demand
Free-Video
BIMSA

Entropic Optimal Transport: Convergence Rates and ODE Characterization

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Explore recent advances in entropic optimal transport, focusing on convergence rates and a novel ODE-based numerical method for multi-marginal problems. Gain insights into theoretical bounds and practical applications.
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1 Lesons
47 minutes
On-Demand
Free-Video
BIMSA

A Geometric View of Optimal Transport and Generative Models - ICBS 2024

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Explore geometric interpretations of optimal transport theory and its application to generative models, analyzing Sora's principles and proposing improvements for physical accuracy.
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1 Lesons
52 minutes
On-Demand
Free-Video
Toronto Machine Learning Series (TMLS)

Practical Individual Fairness Algorithms in Machine Learning

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Explore algorithmic fairness in machine learning, focusing on Distributional Individual Fairness. Learn to train certifiably fair models using transport-based regularization for various ML tasks.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Merging Rate of Opinions via Optimal Transport on Random Measures

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Explore optimal transport on random measures to analyze opinion merging rates, focusing on Bayesian statistics applications in mathematical research.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

On the Concave One-Dimensional Random Assignment Problem: Kantorovich Meets Young

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Explore the concave one-dimensional random assignment problem, bridging Kantorovich and Young's theories in this mathematical conference talk by Dario Trevisan.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Path Constrained Unbalanced Optimal Transport

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Explore path constrained unbalanced optimal transport with Nicolas Charon, delving into geometric statistics and shape analysis applications.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Wasserstein Gradient Flows and Applications to Sampling in Machine Learning - Lecture 2

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Explore Wasserstein gradient flows and their applications to sampling in machine learning, focusing on advanced mathematical concepts and techniques.
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1 Lesons
43 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry

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Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
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1 Lesons
51 minutes
On-Demand
Free-Video
Google TechTalks

Fixed-point Error Bounds for Mean-payoff Markov Decision Processes

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Explore optimal transport techniques for deriving finite-time error bounds in reinforcement learning, focusing on mean-payoff Markov decision processes and stochastic fixed point iterations.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Non-commutative Optimal Transport - Spring 2025

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Explore non-commutative optimal transport's applications in AI, quantum physics, and electronic structure theory. Delve into evolution equations, Wasserstein distances, and computational algorithms for density operators.
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1 Lesons
55 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Optimal Transport and High Dimensional Probability - Gradient Flows on Wasserstein Space

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Explore gradient flows on Wasserstein spaces, connecting optimal transport theory with high-dimensional probability concepts for advanced mathematical insights.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Optimal Transport and High-Dimensional Probability

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Explore functional inequalities, convergence of flows, and logconcavity of probability measures in high-dimensional spaces through optimal transport theory.
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1 Lesons
57 minutes
On-Demand
Free-Video
VinAI

Optimal Transport for Distributionally Robust Optimization and Applications in Machine Learning

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Explore optimal transport in distributionally robust optimization, focusing on its applications in machine learning, distribution shifts, and responsible AI. Gain insights into solving challenging optimization problems.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
VinAI

Supervised Quantile Normalization for Matrix Factorization Using Optimal Transport

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Explore advanced matrix factorization techniques using optimal transport for quantile normalization. Learn applications in dimensionality reduction and genomics from expert Marco Cuturi.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
VinAI

Geometry of Covariance Matrices, Covariance Operators, and Gaussian Processes

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Explore geometric approaches to covariance matrices, operators, and Gaussian processes. Gain insights into non-Euclidean distances, Fisher-Rao distance, and Wasserstein distance in infinite-dimensional settings.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

The Mathematical Universe Behind Deep Neural Networks - Rothschild Lecture

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Explore the mathematical foundations of deep neural networks, covering functional analysis, harmonic analysis, complex analysis, approximation theory, and more with Professor Helmut Bölcskei.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Inside Livermore Lab

DeepParticle: Learning Invariant Measure by Deep Neural Network Minimizing Wasserstein Distance

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Explore DeepParticle: an integrated approach combining deep learning, optimal transport, and interacting particles to solve high-dimensional PDEs, demonstrated through Fisher-Kolmogorov-Petrovsky-Piskunov front speeds in incompressible flows.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Weak Limits for Entropic Optimal Transport - Part II

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Explore weak limits for entropic optimal transport, covering parametric cases, duality, proofs, and connections to improved CLT and convex optimization.
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13 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Data-Driven Latent Representations for Time-Dependent Problems - Lecture 3

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Explore data-driven latent representations for time-dependent problems, focusing on applications in climate downscaling, superresolution, and optimal transport.
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17 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Wasserstein Gradient Flows and Applications to Sampling in Machine Learning - Lecture 1

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Explore Wasserstein gradient flows and their applications to sampling in machine learning through an in-depth lecture by Anna Korba.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Wasserstein Gradient Flows and Applications to Sampling in Machine Learning - Lecture 3

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Explore Wasserstein gradient flows and their applications to sampling in machine learning with Anna Korba's advanced lecture on this complex mathematical topic.
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1 Lesons
1 hour 25 minutes
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Applied Algebraic Topology Network

Trajectory Inference in Wasserstein Space

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Explore advanced trajectory inference methods using Wasserstein geometry and B-spline approximation for analyzing dynamic processes in computational biology and point cloud data.
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1 Lesons
51 minutes
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