Weak Limits for Entropic Optimal Transport - Part II
Explore weak limits for entropic optimal transport, covering parametric cases, duality, proofs, and connections to improved CLT and convex optimization.
Towards Data-Driven High Fidelity CFD - Lecture 2
Explore data-driven approaches for high-fidelity computational fluid dynamics in this advanced lecture on scientific machine learning and CFD techniques.
Towards Data-Driven High Fidelity CFD - Lecture 1
Explore data-driven high fidelity CFD, covering shock droplet interaction, icing, multiscale analysis, DG schemes, and scientific machine learning applications in computational fluid dynamics.
Data-Driven Latent Representations for Time-Dependent Problems - Lecture 3
Explore data-driven latent representations for time-dependent problems, focusing on applications in climate downscaling, superresolution, and optimal transport.
Learning Operators - Lecture 1
Explore learning operators in scientific machine learning, covering traditional methods, neural networks, and practical applications for mathematical problem-solving.
Finite Neuron Method - Lecture 3
Explore advanced mathematical concepts in finite neuron methods through an in-depth lecture by Jinchao Xu, focusing on theoretical foundations and practical applications.
Learning Operators - Lecture 2
Explore advanced concepts in operator learning, focusing on mathematical techniques and applications in scientific machine learning.
Finite Neuron Method - Lecture 2
Explore finite neuron method, covering electrical entropy, curse of dimensionality, neural networks, and approximation properties. Gain insights into deep learning concepts and techniques.
Linear and Nonlinear Schemes for Forward Model Reduction and Inverse Problems - Lecture 3
Explore linear and nonlinear schemes for forward model reduction and inverse problems in this advanced mathematics lecture by Olga Mula.
Finite Neuron Method - Lecture 1
Explore finite neuron method fundamentals, covering finite element method, neural networks, and adaptive PD. Gain insights into mathematical concepts and their applications.
Complete Outer Lipschitz Classification of Complex Surface Singularities
Explore the complete outer Lipschitz classification of complex surface singularities in this advanced mathematical presentation by Anne Pichon.
Complexity and the Hat
Explore complexity through mathematical concepts, focusing on unique perspectives and innovative approaches in discrete mathematics and computer science.
Tutorial on Cellular Automata - Lecture 2
Explore advanced concepts in cellular automata, including complex patterns and computational models, in this in-depth mathematical lecture.
An Introduction to Walnut - Lecture 2
Explore Walnut, a tool for automata-based proofs in number theory and combinatorics. Delve into advanced techniques and applications in this comprehensive mathematical lecture.
Randomness and Complexity - Lecture 1
Explore the intersection of randomness and complexity in mathematics, delving into key concepts and their applications in discrete mathematics and computer science.
An Introduction to Walnut - Lecture 1
Explore Walnut, a tool for automata-based decision procedures in number theory and combinatorics on words. Learn its applications and fundamental concepts.
Complexity Theory Through the Lens of Kolmogorov Complexity - Tutorial 2
Explore complexity theory through Kolmogorov complexity in this mathematical tutorial by Igor Carboni Oliveira, recorded at CIRM's thematic meeting on randomness, information, and complexity.
Derandomization and Meta-complexity - Part 2
Explore meta-complexity in derandomization through an advanced tutorial. Delve into cutting-edge mathematical concepts and their applications in randomness and complexity theory.
Pseudodeterministic Constructions and rK^t - Tutorial 3
Explore pseudodeterministic constructions and rK^t in this advanced mathematics tutorial by Igor Carboni Oliveira, delving into randomness, information, and complexity theory.
Derandomization: Pseudo-randomness from Hardness - Part 1
Explore pseudo-randomness from hardness in derandomization with Valentine Kabanets. Gain insights into this mathematical concept through a comprehensive tutorial.
Probabilistic Methods - Entropy Compression
Explore probabilistic methods and entropy compression in mathematics through an in-depth lecture by František Kardoš at CIRM's ALEA days conference.