Perverse Sheaves and Resurgence in Borel Summation
Explore the connection between resurgence theory and perverse sheaves, focusing on Borel summation, Stokes phenomena, and alien derivatives in algebraic structures.
Nonholonomic Systems with Inequality Constraints
Explore nonholonomic systems with inequality constraints, delving into advanced concepts and applications in control theory and robotics.
Virtual Affine Nonholonomic Constraints
Explore virtual affine nonholonomic constraints in mechanical systems, examining their mathematical foundations and practical applications in robotics and control theory.
Private Frequency Estimation via Projective Geometry
Explore private frequency estimation using projective geometry with insights from Jelani Nelson's conference talk at CIRM.
Nonholonomic Systems with Inequality Constraints
Explore nonholonomic systems with inequality constraints, delving into advanced concepts and applications in control theory and robotics.
Visio 2019 Advanced Tutorial
Comprehensive tutorial on advanced Visio 2019 features, covering BPMN diagrams, 3D shapes, custom stencils, pivot diagrams, Gantt charts, macros, and integration with external data sources for enhanced visualization.
Visio 2019 Beginner Tutorial
Learn to create diagrams, charts, and visualizations using Visio 2019. Master drawing tools, organizational charts, floor plans, flowcharts, and network diagrams. Explore advanced features like 3D shapes and external data integration.
Topological Data Analysis - New Perspectives on Machine Learning - by Jesse Johnson
Explore geometric patterns in data and how abstract geometry concepts enhance machine learning algorithms. Gain insights into data structure through higher-dimensional perspectives.
From Hyperbolic Geometry to Data Clustering
Explore how hyperbolic geometry and knot theory inspire innovative data clustering algorithms, bridging abstract mathematics with practical data science applications.
Statistical Rethinking 2023 - Social Networks
Explore statistical approaches to social network analysis, covering generative and statistical models, wealth effects, and block models. Gain insights into complex social structures and their implications.
Stabilizing the Unstable Output of Persistent Homology Computations
Explore stabilizing techniques for persistent homology computations, focusing on generating cycles and their applications in topological data analysis.
Sampling Smooth Manifolds Using Ellipsoids
Explore sampling smooth manifolds using ellipsoids, a novel approach requiring lower sample density than traditional ball-based methods, with potential applications in data science and topology.
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.
Alexander Wagner - Nonembeddability of Persistence Diagrams into Hilbert Spaces
Explore nonembeddability of persistence diagrams in Hilbert spaces, examining stability, metrics, and implications for machine learning applications in topological data analysis.
Computing Persistent Homology - Introduction
Explore the fundamentals of persistent homology computation, covering key concepts, intuition, and practical applications in topological data analysis.
Conley-Morse-Forman Theory for Generalized Combinatorial Multivector Fields
Generalized combinatorial multivector fields on finite topological spaces: extending Conley-Morse-Forman theory for data science applications, including isolated invariant sets, Conley index, and Morse decompositions.
Ulrich Bauer - Persistence Diagrams as Diagrams
Explore persistence diagrams as categorical functors, examining their structure, stability, and relationships to matchings. Learn about new constructions and theorems in this advanced algebraic topology lecture.
Vanessa Robins - Persistence Diagrams of Bead Packings
Exploring grain-scale mechanisms in granular crystallization using X-ray tomography and persistent homology, revealing key formation processes of tetrahedral and octahedral pores in spherical bead packings.
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.
Gunnar Carlsson - Local to Global Principles in Persistent Homology
Explore persistent homology's local-to-global principles, computational methods, and applications in topology and data analysis with expert Gunnar Carlsson.
From Persistent Homology to Machine Learning
Overview of persistent homology's applications in machine learning, exploring its use in analyzing global topology and local geometry of datasets, with examples from various fields and discussions on stability and interpretability.