Topology and Dynamics of Higher-Order Networks - Lecture 2: Introduction to Algebraic Topology on Networks and Simplicial Complexes
Explore algebraic topology on networks and simplicial complexes, focusing on Hodge Laplacians and Dirac operators in higher-order networks. Gain insights into topological signals and their applications.
Topology and Dynamics of Higher-Order Networks - Information Theory of Network Geometry and Gauge Fields - Lecture 4
Explore information theory of network geometry and gauge fields in higher-order networks. Delve into topological signals, discrete topology, and emerging dynamical states in complex systems.
Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 2
Explore nonlinear dynamics of neuronal models and their application to bird song dynamics, focusing on advanced concepts and real-world examples.
Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 1
Explore nonlinear dynamics in neuronal models, focusing on bird song dynamics. Gain insights into complex neuroscience concepts and their applications.
Integrability in Gauge and String Theory - Uniform Transcendentality and Correlation Functions in N=4 SYM
Explore uniform transcendentality and correlation functions in N=4 SYM, delving into advanced concepts in gauge and string theory.
Integrability of Open^2 Quantum Circuits
Explore integrability of open^2 quantum circuits with Chiara Paletta, delving into advanced concepts in gauge and string theory.
Integrability in Gauge and String Theory - New Approach to Strongly Coupled N=4 SYM via Integrability
Explore a novel approach to strongly coupled N=4 supersymmetric Yang-Mills theory using integrability techniques in gauge and string theory.
Unification of Topological Invariants and Topological Markers
Explore topological invariants and markers in quantum materials, unifying concepts through wrapping numbers and quantum metrics. Apply to 1D and 2D systems.
Integrability and AdS/CFT - Class 3
Explore advanced concepts in integrability and AdS/CFT correspondence with expert Konstantin Zarembo in this in-depth lecture from the Holography@25 School.
Integrability and AdS/CFT - Class 4
Explore advanced concepts in integrability and AdS/CFT correspondence with expert Konstantin Zarembo in this final lecture of the series.
Integrability and AdS/CFT - Class 1
Explore integrability and AdS/CFT correspondence in this advanced physics lecture, part of a series on holography and string theory.
Poseidon: Efficient Foundation Models for PDEs - Tutorial 1
Explore efficient foundation models for PDEs with Poseidon, focusing on innovative techniques and applications in computational science.
UQ for ML and ML for UQ - Uncertainty Quantification and Machine Learning in Physics-Based Modeling
Explore the interplay between Uncertainty Quantification and Machine Learning in physics-based modeling, examining their roles in solving complex computational challenges across various applications.
Classical and Free Zero Bias for Infinite Divisibility
Explore classical and free zero bias in infinite divisibility with Larry Goldstein, delving into probability theory and statistical concepts.
The Atypical Growth in Random Interfaces - KPZ Equation and Unusual Growth Patterns
Explore random interface growth phenomena and the KPZ equation, combining probability, PDEs, and integrable systems to understand unusual growth behaviors.
Sample Amplification: Increasing Dataset Size Even When Learning is Impossible
Explore sample amplification techniques to generate larger datasets from limited samples, even when learning the original distribution is impossible.
Latent Multimodal Functional Graphical Model Estimation
Explore latent graphical model estimation for multimodal functional data, focusing on brain connectivity analysis using simultaneous imaging techniques.
Mean and Location Estimation with Optimal Constants - UW Madison
Explore advanced statistical techniques for mean and location estimation, focusing on finite sample theories and optimal constants in high-dimensional regimes.
Spectral Stability Under Real Random Absolutely Continuous Perturbations
Explore spectral stability in random matrix perturbations, focusing on eigenvector condition numbers and minimum eigenvalue gaps. Gain insights into numerical linear algebra algorithms.
Generalized Kyle-Back Insider Trading Model with Dynamic Information
Explore a generalized Kyle-Back insider trading model with dynamic information, focusing on Markovization, stochastic boundary value problems, and forward-backward SDEs.
Probabilistic Parking Functions - Exploring Randomness in Combinatorics
Explore probabilistic parking functions, their properties, and connections to combinatorics. Examine statistical transitions and discuss future research directions.