Quantum Topological Data Analysis - Part 1
Explore quantum persistent homology algorithms for pattern recognition in data, leveraging quantum computing's potential to enhance traditional Topological Data Analysis methods and improve efficiency.
Projects in Time Series Analysis - Chaos Detection with Persistent Homology and Process Monitoring
Explore chaos detection in time series using persistent homology and process monitoring techniques, with applications in complex systems analysis and data-driven decision making.
The Shape of Relations: Knots and Other Stories in Topological Data Analysis
Explore the fascinating world of Topological Data Analysis in this 59-minute conference talk by Radmila Sazdanovic, presented by the Applied Algebraic Topology Network. Discover how TDA tools can uncover relevant features in data by analyzing the shape o…
Topology for Time Series
Explore topological algorithms for time series comparison using persistent homology. Learn implementation in R, understand caveats, and gain practical insights through live coding and dataset analysis.
Studying Fluid Flows with Persistent Homology - Rachel Levanger
Explore fluid dynamics through persistent homology, uncovering patterns in complex systems like turbulence and convection. Learn topological data analysis techniques for studying fluid flows.
Stability of Reeb Ordering Method in the Framework of Pospaces
Explores stability of Reeb ordering in pospaces, introducing new tools for manipulating posets as graph-like objects and proving stability using interleaving distance among order-compatible topological spaces.
Computable Stability for Persistence Rank Function Machine Learning
Exploring persistent rank functions and rank invariants as alternatives to persistent homology barcodes, with applications in machine learning and topological data analysis.
Euler Characteristic Curves and Profiles
Explore Euler Characteristic Curves and Profiles in topological data analysis, gaining insights into shape analysis and data visualization techniques.
Improving Descriptors and Understandings in Material Sciences Using Topological Data Analysis
Explore Topological Data Analysis applications in Material Sciences to enhance descriptors and deepen understanding of complex structures.
Damage Identification in Rolling Element Bearings Using Topological Data Analysis
Explore topological data analysis for identifying damage in rolling element bearings, enhancing machinery maintenance and reliability.
Perception of Visual Art and Topological Data Analysis
Explore the intersection of visual art perception and topological data analysis, uncovering new insights into artistic interpretation and mathematical techniques.
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.
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.
Statistical Shape Analysis Using the Persistent Homology Transform
Explore statistical shape analysis using persistent homology transform, covering classical methods, TDA approaches, and recent advancements in multidimensional scaling and alignment.
David Uminsky - LatMath 2022 - IPAM's Latinx in the Mathematical Sciences Conference
Explore mathematical applications in data science, including topological analysis and Fourier transforms, with insights on research initiatives and educational approaches.
Gunnar Carlsson: Topological Deep Learning
Explore topological data analysis in deep learning, reducing data needs and enhancing transparency. Focuses on image and video analysis, network architectures, and applications in various fields.
Yulia Gel - Topological Clustering of Multilayer Networks
Explore topological clustering of multilayer networks, focusing on higher-order interactions and local neighborhood shapes. Learn applications in climate-insurance and COVID-19 data analysis.
Liquid Crystals Dynamics - What Persistent Homology Reveals
Explore liquid crystal phase transitions through persistent homology, revealing thermodynamic features and structural changes in nanocomposites using advanced data analysis techniques.
Cuneyt Akçora - TDA on Networks – Applications and Scalability Issues
Explore Topological Data Analysis on networks, focusing on applications in blockchain for ransomware detection, price prediction, and anomaly detection. Learn about persistent homology and TDAMapper algorithms.
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.