From Mosquitoes to ChatGPT - The Birth and Strange Life of the Random Walk
Explore the fascinating history and diverse applications of random walks, from mosquito control to AI, and their impact on modern technology and scientific understanding.
Low-Dimensional Approximations of the Conditional Law of Volterra Processes - A Non-Positive Curvature Approach
Explore non-positive curvature approaches for approximating conditional laws of Volterra processes in low dimensions, with applications in machine learning and dynamical systems.
Combinatorial Topological Dynamics
Explore advanced concepts in combinatorial topological dynamics, focusing on machine learning applications and dynamical systems theory in this symposium presentation by Marian Mrozek.
Data-Driven Reduced Order Models of Forced Systems Using Invariant Foliations
Explore innovative techniques for creating data-driven reduced order models of forced systems, focusing on the application of invariant foliations in dynamical systems analysis.
On the Barriers of Robust Koopman Learning
Explore barriers in robust Koopman learning with Matthew Colbrook, examining challenges and advancements in machine learning for dynamical systems.
The Operator is the Model - Dynamical Systems and Machine Learning
Explore the intersection of machine learning and dynamical systems with Igor Mezic, focusing on operator-based modeling approaches and their implications for complex system analysis.
On Finite-Dimensional Approximations of Push-Forwards on Locally Analytic Functionals
Explore finite-dimensional approximations of push-forwards on locally analytic functionals in this advanced mathematical symposium presentation by Isao Ishikawa.
Statistical Learning of Transfer Operators and the Infinitesimal Generator
Explore statistical learning techniques for transfer operators and infinitesimal generators in dynamical systems, focusing on advanced mathematical concepts and applications.
Graphs of Random Matrices in Deep Learning
Explore the intersection of random matrix theory and deep learning, focusing on graph structures and their implications for neural network performance and analysis.
Orbit Hierarchies and Long-Term Predictability in Chaotic Systems
Explore orbit hierarchies and long-term predictability in chaotic systems, uncovering insights into complex dynamical behaviors and their implications for machine learning.
Learning Coarse-Grained Dynamics on Graphs
Explore coarse-grained dynamics on graphs with John Harlim, delving into advanced machine learning techniques for dynamical systems analysis and modeling.
A Dynamical Systems Perspective on Measure Transport and Generative Modeling
Explore measure transport and generative modeling through a dynamical systems lens, gaining insights into advanced machine learning concepts and their applications.
Dynamical Systems in Deep Generative Modelling
Explore the intersection of dynamical systems and deep generative modeling, uncovering innovative approaches for creating advanced AI models and understanding complex data patterns.
Non-smooth Dynamics and Machine Learning
Explore the intersection of non-smooth dynamics and machine learning, uncovering innovative approaches to complex systems analysis and prediction.
Numerical Methods for SDEs with Singular Coefficients - Lecture 3
Explore numerical methods for SDEs with singular coefficients in this advanced mathematics lecture by Benjamin Jourdain, focusing on cutting-edge techniques and applications.
Numerical Methods for SDEs with Singular Coefficients - Lecture 1
Explore numerical methods for stochastic differential equations with singular coefficients in this advanced mathematics lecture by Benjamin Jourdain.
Numerical Methods for SDEs with Singular Coefficients - Lecture 2
Explore numerical methods for SDEs with singular coefficients in this advanced mathematics lecture by Benjamin Jourdain, focusing on cutting-edge techniques and applications.
Shear Coordinates of Weil-Petersson Circle Homeomorphisms
Explore shear coordinates of Weil-Petersson circle homeomorphisms in this advanced mathematics lecture by Yilin Wang, delving into geometric and dynamic aspects of the topic.
Embedding and Factoring Theorems, Absolute Retracts and Map Extension
Explore embedding and factoring theorems, absolute retracts, and map extension in dynamical systems. Gain insights from Tom Meyerovitch's conference talk at CIRM.
Algebraic Actions on Complex Varieties and Their Real Forms - Lecture 3
Explore algebraic actions on complex varieties and their real forms in this advanced mathematics lecture from the Brazil-France School on Foliation Theory.
Foliations in Model Theory - Lecture 3
Explore foliations in model theory, delving into advanced mathematical concepts and their applications in this specialized lecture from the Brazil-France School on Foliation Theory.