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Persistent homology

Persistent homology is a method for computing topological features of a space at different spatial resolutions. More persistent features are detected… 
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C++Computational topologyJavaPython

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Application of Persistent Homology to Topological Analysis of Waveform Signals
This paper raises a question of whether a simple periodic phenomenon is associated with the topology and provides the convincing… 
2016
2016
Discrimination of economic Input-Output networks using Persistent Homology
Viewing Input-Output (IO) tables as weighted complex networks, we investigate how certain characteristics of an economy are… 
2015
2015
Stabilizing the output of persistent homology computations
We propose a general technique for extracting a larger set of stable information from persistent homology computations than is… 
2014
2014
Objective-oriented Persistent Homology
Persistent homology provides a new approach for the topological simplification of big data via measuring the life time of… 
2014
2014
Modeling Collaborations with Persistent Homology
In this paper we describe a model based on persistent homology that describes interactions between mathematicians in terms of… 
2013
2013
Probabilistic Fréchet Means and Statistics on Vineyards
In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and… 
2013
2013
Gait-Based Gender Classification Using Persistent Homology
In this paper, a topological approach for gait-based gender recognition is presented. First, a stack of human silhouettes… 
Review
2011
Review
2011
Analysis and Simulation of Near-Field Wave Motion Data from the Source Physics Experiment Explosions
Abstract : The Source Physics Experiment (SPE-N) at the Nevada National Security Site is planned as a series of chemical… 
2009
2009
Ultrastructure of cyanobacterium Nostoc sp. f. Blasia cell forms in persisting populations
Cell clusters formed in persistent populations of Nostoc sp. f. Blasia, a cyanobacterium capable of cell differentiation, under… 
2004
2004
Troubling "Settled" Waters: The Opportunity and Peril of African-American Reparations
This Article explores the theme of "troubling settled waters," which represents the impact of African-American reparations on the… 
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