Bala Krishnamoorthy - Steinhaus Filtration and Stable Paths in the Mapper
Explore Steinhaus filtration and stable paths in Mapper, a topological data analysis tool. Learn applications in recommendation systems and explainable machine learning for data-driven insights.
Detecting Bifurcations in Dynamical Systems with Zigzag Persistent Homology
Explore zigzag persistent homology for efficient detection of bifurcations in dynamical systems, reducing computational costs and capturing topological changes in a single persistence diagram.
Nonlinear Dynamics, High Dimensional Data, and Persistent Homology
Explore nonlinear dynamics, high-dimensional data analysis, and persistent homology with Konstantin Mischaikow. Learn about algebraic topology applications, persistence diagrams, and recent advancements in data science.
Lower Dimensional Topological Information: Theory and Applications
Explore lower dimensional topological features in data analysis, covering detection methods, theoretical foundations, and applications in image segmentation using topological and statistical approaches.
Marian Mrozek - Combinatorial vs. Classical Dynamics: Recurrence
Explore combinatorial dynamics in data science, its ties to classical dynamics, and applications in computer-assisted proofs. Learn about topological invariants and recent developments in recurrent behavior analysis.
Hidden Variables in Linear Non-Gaussian Causal Models
Explore hidden variables in linear non-Gaussian causal models, using high-order cumulant information to uncover causal structures in data science applications with multiple observed variables.
Calculus Review - The Derivative, the Power Law, and the Chain Rule
Comprehensive review of derivatives, power law, and chain rule in calculus. Essential concepts for understanding differential equations and dynamical systems.
Small Density Vacuum and How to Find Them Robustly
Explore a new TDA method for identifying small density vacuums in high-density regions, with proven robustness and bounded persistence. Includes simulations and theoretical insights.
Topological Time Series Analysis for Hurricanes and Dynamical Systems
Explore topological data analysis applications in studying hurricane satellite imagery and dynamical system bifurcations using persistent homology and zigzag persistence techniques.
Complex Dynamics and Character Varieties - Lecture 1
Explore complex dynamics and character varieties in mathematics, delving into advanced concepts and their applications in this comprehensive lecture.
From Rough Paths to Streamed Data
Explore the mathematical connection between rough paths theory and streamed data analysis, bridging theoretical concepts with practical applications in machine learning and dynamical systems.
The Apocalypse and How to Avoid It - Panel Discussion
Panel discussion exploring survival strategies, essential skills, and technological solutions for potential apocalyptic scenarios. Experts share insights on disaster preparedness, disease control, shelter design, and space debris management.
Tools for Big Data - Professor Richard Gibbens, University of Cambridge
Explore mathematical modeling of networks with a focus on communication, transport, and energy systems. Learn to apply advanced computational techniques to analyze and interpret big data.
Mathematical Models for Predicting the Future - Limitations and Ethics
Explore the power and limitations of mathematical models in predicting future events, from pandemics to climate change, with insights on their ethical implications and real-world applications.
Optimal Execution with Stochastic and Deterministic Delay - SIAM FME Virtual Talk
Explore optimal execution strategies in financial markets with random delays, considering price impact and transaction costs. Learn about innovative impulse control models and their practical applications.
From Applied Mathematicians to Entrepreneurs - Industry Panel Discussion
Applied mathematicians share their journeys to entrepreneurship, offering insights on career paths, challenges, and advice for aspiring math entrepreneurs in various industries.
Setting the Stage with Networks and Network Dynamics
Explore fundamental concepts in network science and dynamics, including various network types and their applications in connectome analysis, with interactive discussions and project formulation.
The Dynamic Mode Decomposition - A Data-Driven Algorithm for Complex Systems Analysis
Explore the Dynamic Mode Decomposition algorithm for analyzing complex systems, including its theory, applications, and implementation using PyDMD package in Python.
Tumor Phylogeny Inference from Single-cell Datasets - Lecture 2
Explore tumor evolution through single-cell data analysis. Learn advanced techniques for inferring phylogenetic relationships and understanding cancer progression at the cellular level.
Computational Cancer Biology: An Expedition Towards Precision Oncology
Explore computational approaches in cancer research, from mathematical modeling to machine learning, aimed at understanding disease progression and developing precision treatments.
Exploring Variational Functions - Calculus of Variations and Geometric Measure Theory
Dive into variational problems and bounded Hessian functions with Luigi Ambrosio. Explore the intersection of Calculus of Variations and Geometric Measure Theory, inspired by machine learning insights.