Derived Higher Lie Groupoids
Explore advanced concepts in algebraic topology and differential geometry, focusing on derived higher Lie groupoids and their applications in Hamiltonian geometry.
Differential Geometry over C∞-Rings
Explore advanced concepts in differential geometry using C∞-rings, delving into theoretical foundations and applications in mathematical physics and algebraic geometry.
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.
Mathematics as a Game
Explore how mathematics can be viewed as a game, uncovering its playful nature and strategic aspects. Gain insights into problem-solving approaches and creative thinking in mathematical contexts.
Computation and Formalization - Case Studies in Computational Number Theory
Explore case studies in computational number theory, examining the interplay between computation and formalization in mathematical research and problem-solving.
All the Trigonometry You Need for Calculus - Explained
Comprehensive trigonometry review for calculus: unit circle, radians, special triangles, trig functions, identities, and geometric proofs. Focuses on understanding concepts rather than memorization.
Euler Product Formula - A Beautiful Equation in Number Theory
Discover the beauty of the Euler Product Formula, connecting sums over natural numbers to products over primes. Explore its proof, applications, and links to the Riemann Hypothesis.
A World From A Sheet of Paper
Explore diverse phenomena through paper folding, from magic tricks to geometry, elasticity, origami, and medical devices. Discover the hidden potential of a simple sheet of paper.
Knots and Knotted Vortices
Explore the fascinating world of knots and knotted vortices in this engaging public lecture by Louis Kauffman, delving into their mathematical and physical properties.