# Topological data analysis

## Papers overview

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2018

2018

- 2018

Statistical analysis on object data presents many challenges. Basic summaries such as means and variances are difficult toâ€¦Â (More)

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2018

2018

- ArXiv
- 2018

Topological data analysis, such as persistent homology has shown beneficial properties for machine learning in many tasksâ€¦Â (More)

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2016

2016

- 2016

This paper explores the new and growing field of topological data analysis (TDA). TDA is a data analysis method that providesâ€¦Â (More)

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2016

2016

- ICML
- 2016

Topological data analysis (TDA) is an emerging mathematical concept for characterizing shapes in complex data. In TDAâ€¦Â (More)

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2016

2016

- IEEE Conference on Computer Vision and Patternâ€¦
- 2016

This work introduces a new dataset and framework for the exploration of topological data analysis (TDA) techniques applied toâ€¦Â (More)

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Highly Cited

2015

Highly Cited

2015

- Journal of Machine Learning Research
- 2015

We define a new topological summary for data that we call the persistence landscape. Since this summary lies in a vector spaceâ€¦Â (More)

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2015

2015

- NIPS
- 2015

We consider the problem of statistical computations with persistence diagrams, a summary representation of topological featuresâ€¦Â (More)

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Highly Cited

2015

Highly Cited

2015

- IEEE Conference on Computer Vision and Patternâ€¦
- 2015

Topological data analysis offers a rich source of valuable information to study vision problems. Yet, so far we lack aâ€¦Â (More)

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2012

2012

- IEEE Transactions on Visualization and Computerâ€¦
- 2012

The extraction of significant structures in arbitrary high-dimensional data sets is a challenging task. Moreover, classifyingâ€¦Â (More)

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2011

2011

- ArXiv
- 2011

The theory of zigzag persistence is a substantial extension of persistent homology, and its development has enabled theâ€¦Â (More)

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