1 citations · 1 across the 3 of their papers we have counts for
10 papers
Data, geometry and homology
Jens Agerberg, Wojciech Chacholski, Ryan Ramanujam
Homology-based invariants can be used to characterize the geometry of datasets and thereby gain some understanding of the processes generating those datasets. In this work we inves…
Homotopical decompositions of simplicial and Vietoris Rips complexes
Wojciech Chacholski, Alvin Jin, Martina Scolamiero +1
Motivated by applications in Topological Data Analysis, we consider decompositions of a simplicial complex induced by a cover of its vertices. We study how the homotopy type of suc…
Landscapes of data sets and functoriality of persistent homology
Wojciech Chacholski, Alessandro De Gregorio, Nicola Quercioli +1
The aim of this article is to describe a new perspective on functoriality of persistent homology and explain its intrinsic symmetry that is often overlooked. A data set for us is a…
On the topology of complexes of injective words
Wojtek Chacholski, Ran Levi, Roy Meshulam
An injective word over a finite alphabet is a sequence of distinct elements of . The set of injective words on is partially ordere…
A topological data analysis based classification method for multiple measurements
Henri Riihimäki, Wojciech Chachólski, Jakob Theorell +2
Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data…
Metrics and stabilization in one parameter persistence
Wojciech Chachólski, Henri Riihimäki
We propose a new way of thinking about one parameter persistence. We believe topological persistence is fundamentally not about decomposition theorems but a central role is played…