Approximating Continuous Functions on Persistence Diagrams Using Template Functions

Persistence codebooks for topological data analysis

(2020) Bartosz Zieliński et al.   ARTIFICIAL INTELLIGENCE REVIEW

Tropical Coordinates on the Space of Persistence Barcodes

(2018) Sara Kališnik   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Persistence Paths and Signature Features in Topological Data Analysis

(2018) Ilya Chevyrev et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Persistent homology analysis of brain artery trees

(2016) Paul Bendich et al.   Annals of Applied Statistics

The ring of algebraic functions on persistence bar codes

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

Symmetric and r -symmetric tropical polynomials and rational functions

(2016) Gunnar Carlsson et al.   JOURNAL OF PURE AND APPLIED ALGEBRA

Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems

(2015) Michael McCullough et al.   CHAOS

Stable Topological Signatures for Points on 3D Shapes

(2015) Mathieu Carrière et al.   COMPUTER GRAPHICS FORUM

The Theory of the Interleaving Distance on Multidimensional Persistence Modules

(2015) Michael Lesnick   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Decomposition of pointwise finite-dimensional persistence modules

(2015) William Crawley-Boevey   JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Probabilistic Fréchet means for time varying persistence diagrams

(2015) Elizabeth Munch et al.   Electronic Journal of Statistics

Confidence sets for persistence diagrams

(2014) Brittany Terese Fasy et al.   ANNALS OF STATISTICS

Fréchet Means for Distributions of Persistence Diagrams

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

Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces

(2014) Andrew J. Blumberg et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Topology-Based Kernels With Application to Inference Problems in Alzheimer's Disease

(2011) Deepti Pachauri et al.   IEEE TRANSACTIONS ON MEDICAL IMAGING

Probability measures on the space of persistence diagrams

(2011) Yuriy Mileyko et al.   INVERSE PROBLEMS

Zigzag Persistence

(2010) Gunnar Carlsson et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion

(2009) Jian Sun et al.   COMPUTER GRAPHICS FORUM

On the validity of the 0–1 test for chaos

(2009) Georg A Gottwald et al.   NONLINEARITY

On computing Poincaré map by Hénon method

(2007) P. Palaniyandi   CHAOS SOLITONS & FRACTALS