# Persistent homology

## Papers overview

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Review

2017

Review

2017

- EPJ Data Science
- 2017

Persistent homology (PH) is a method used in topological data analysis (TDA) to study qualitative features of data that persistâ€¦Â (More)

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2016

2016

- J. Comput. Physics
- 2016

Persistent homology provides a new approach for the topological simplification of big data via measuring the life time ofâ€¦Â (More)

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2014

2014

- Discrete & Computational Geometry
- 2014

We redevelop persistent homology (topological persistence) from a categorical point of view. The main objects of study are (Râ€¦Â (More)

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Highly Cited

2013

Highly Cited

2013

- Discrete & Computational Geometry
- 2013

We introduce an efficient preprocessing algorithm to reduce the number of cells in a filtered cell complex while preserving itsâ€¦Â (More)

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Highly Cited

2012

Highly Cited

2012

- IEEE Transactions on Medical Imaging
- 2012

The brain network is usually constructed by estimating the connectivity matrix and thresholding it at an arbitrary level. Theâ€¦Â (More)

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Highly Cited

2012

Highly Cited

2012

- PLoS Computational Biology
- 2012

An animal's ability to navigate through space rests on its ability to create a mental map of its environment. The hippocampus isâ€¦Â (More)

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2011

2011

- IEEE International Symposium on Biomedicalâ€¦
- 2011

It is known that the brain network has small-world and scale-free topology, but the network structures drastically changeâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Symposium on Computational Geometry
- 2009

We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derivedâ€¦Â (More)

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Highly Cited

2005

Highly Cited

2005

- 2005

We introduce a topological approach to a problem of covering a region in Euclidean space by balls of fixed radius at unknownâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Symposium on Computational Geometry
- 2004

We study the homology of a filtered d-dimensional simplicial complex K as a single algebraic entity and establish aâ€¦Â (More)

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