Signal classification with a point process distance on the space of persistence diagrams

The ring of algebraic functions on persistence bar codes

(2016) Aaron Adcock et al.   Homology Homotopy and Applications

Discovering the Whole by the Coarse: A topological paradigm for data analysis

(2016) Hamid Krim et al.   IEEE SIGNAL PROCESSING MAGAZINE

Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

(2016) Vanessa Robins et al.   PHYSICA D-NONLINEAR PHENOMENA

Tracking rapid intracellular movements: A Bayesian random set approach

(2015) Vasileios Maroulas et al.   Annals of Applied Statistics

Crackle: The Homology of Noise

(2014) Robert J. Adler et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Fréchet Means for Distributions of Persistence Diagrams

(2014) Katharine Turner et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Persistent Homology of Delay Embeddings and its Application to Wheeze Detection

(2014) Saba Emrani et al.   IEEE SIGNAL PROCESSING LETTERS

Persistent homology analysis of protein structure, flexibility, and folding

(2014) Kelin Xia et al.   International Journal for Numerical Methods in Biomedical Engineering

Musical experts recruit action-related neural structures in harmonic anomaly detection: Evidence for embodied cognition in expertise

(2013) Jason Sherwin et al.   BRAIN AND COGNITION

Extracting insights from the shape of complex data using topology

(2013) P. Y. Lum et al.   Scientific Reports

Probability measures on the space of persistence diagrams

(2011) Yuriy Mileyko et al.   INVERSE PROBLEMS

Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival

(2011) M. Nicolau et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Lipschitz Functions Have L p -Stable Persistence

(2010) David Cohen-Steiner et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Classification of audio signals using SVM and RBFNN

(2008) P. Dhanalakshmi et al.   EXPERT SYSTEMS WITH APPLICATIONS

A Consistent Metric for Performance Evaluation of Multi-Object Filters

(2008) Dominic Schuhmacher et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING