Topological Data Analysis Courses and Certifications

Applied Algebraic Topology Network

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.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Shape of Data in Biology - Extending the PH Pipeline

Exploring spatial structure in biological data using topological data analysis, with focus on knotted proteins and introducing hyperTDA for interpretable, automated analysis of complex systems.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Applied Algebraic Topology Network

The Directional Transform

Explore the directional transform in topological data analysis, its applications in understanding complex structures, and its potential for enhancing machine learning models and data shape quantification.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

A Topological Study of the Space of Planar Pentagons

Exploring topology of planar pentagons as a model for molecular conformation spaces, using topological data analysis for dimensionality reduction and visualization.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

A Topological Understanding of Neuronal Morphologies

Exploring topological data analysis for neuronal morphologies, from single cells to networks. Highlights applications in classification, clustering, and solving inverse problems in neuroscience.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Geometry and Topology of Data

Explore hyperconvexity and generalized curvature in metric spaces, linking topological data analysis with geometric concepts for a deeper understanding of data structures.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Multi-Parameter Persistent Homology is Practical

Explore practical applications of multi-parameter persistent homology in topological data analysis, focusing on efficient algorithms for large datasets and recent computational advancements.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Statistics, Topology and Data Analysis

Explore the synergy between statistics and topological data analysis for solving real-world problems, with a focus on supervised learning and applications in materials science.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Geometry and Topology of Data

Explore geometric and topological properties of data sets, including curvature concepts and their relation to hyperconvexity, offering new insights into Topological Data Analysis.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

On the Role of Group Equivariant Non-Expansive Operators in TDA

Explore group equivariant non-expansive operators as tools for approximating data observers in Topological Data Analysis, focusing on their mathematical properties and applications.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

L-P Metrics on Multiparameter Persistence Modules

Explores generalizations of p-Wasserstein distance for multi-parameter persistence modules, introducing d_I^p and d_M^p metrics. Examines their properties and applications in topological data analysis.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Differential Calculus on Persistence Barcodes

Explore differential calculus on persistence barcodes, covering differentiability concepts, lifts to ordered barcodes, and applications in topological data analysis.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Studying the Space of Persistence Diagrams Using Optimal Partial Transport II

Exploring persistence diagrams through optimal transport theory, bridging topological data analysis with measure spaces to characterize convergence and prove new results in random settings.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Studying the Space of Persistence Diagrams Using Optimal Partial Transport - Part I

Exploring persistence diagrams through optimal partial transport, bridging topological data analysis with measure theory. Novel approach enables new insights into convergence, continuity, and random settings in TDA.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

TopoAct - Visually Exploring the Shape of Activations in Deep Learning

Explore the shape of neuron activations in deep learning using topological data analysis. Gain insights into learned representations of image classifiers with TopoAct visualization system.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video