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- Publications
- Influence

javaPlex: A Research Software Package for Persistent (Co)Homology

- H. Adams, A. Tausz, M. Vejdemo-Johansson
- Computer Science
- ICMS
- 5 August 2014

The computation of persistent homology has proven a fundamental component of the nascent field of topological data analysis and computational topology. We describe a new software package for… Expand

Applications of Zigzag Persistence to Topological Data Analysis

- Andrew Tausz, Gunnar Carlsson
- Mathematics, Computer Science
- ArXiv
- 17 August 2011

The theory of zigzag persistence is a substantial extension of persistent homology, and its development has enabled the investigation of several unexplored avenues in the area of topological data… Expand

High-resolution, large dynamic range fiber length measurement based on a frequency-shifted asymmetric Sagnac interferometer.

We propose and experimentally demonstrate a single-mode fiber length and dispersion measurement system based on what we believe to be a novel frequency-shifted asymmetric Sagnac interferometer… Expand

Frequency-shifted Mach-Zehnder interferometer for locating multiple weak reflections along a fiber link

- Bing Qi, Li Qian, A. Tausz, Hoi-Kwong Lo
- Physics
- IEEE Photonics Technology Letters
- 2006

We propose and demonstrate a novel technique for measuring fiber lengths and locating multiple weak reflections along the fiber using a low-cost continuous wave source, a folded Mach-Zehnder… Expand

javaPlex: a research platform for persistent homology

- A. Tausz, M. Vejdemo-Johansson, H. Adams
- Computer Science
- 2012

The javaPlex software package continues the Stanford tradition of software for persistent homology and cohomology computation. javaPlex in particular is built with explicit aims for ease of use as a… Expand

- 9

Homological Coordinatization

- Andrew Tausz, Gunnar Carlsson
- Computer Science
- ArXiv
- 3 July 2011

In this paper, we review a method for computing and parameterizing the set of homotopy classes of chain maps between two chain complexes. This is then applied to finding topologically meaningful maps… Expand

Predicting the Date of Authorship of Historical Texts

- A. Tausz
- Computer Science
- 2011

In this document, we address the following question: Given a piece of text, can we predict its year of authorship? This question is of interest in situations where there is a dispute about the author… Expand

Properties of Conditional Expectation Operators and Sufficient Subfields

- Andrew Tausz
- Mathematics
- 23 November 2010

We discuss some properties of conditional expectation operators, and use these facts to prove an interesting counterexample regarding sufficient statistics. In particular, we show that there exists… Expand

Topological Classification of Data Sets without an Explicit Metric

A contemporary problem in data analysis is understanding the nature of high dimensional data sets. Given a set of points in a high-dimensional space, a key question is to determine its topological… Expand

Frequency-shifted interferometer and its applications

- B. Qi, Li Qian, A. Tausz, Y. Liu, H. Lo
- Engineering
- Optical Fiber Communication Conference and the…
- 5 March 2006

We propose a frequency-shifted interferometer and demonstrate its various applications, including fiber length and dispersion measurement, multiple weak reflection sites locating along a fiber link.… Expand