Multiple hypothesis tracking addresses difficult multiple target tracking problems by making
association decisions using multiple scans or frames of data. This paper reviews forty years …

Many data sets can be viewed as a noisy sampling of an underlying space, and tools from
topological data analysis can characterize this structure for the purpose of knowledge …

New representations of tree-structured data objects, using ideas from topological data
analysis, enable improved statistical analyses of a population of brain artery trees. A number …

Through the use of examples, we explain one way in which applied topology has evolved
since the birth of persistent homology in the early 2000s. The first applications of topology to …

This paper describes a new approach for ascertaining the stability of stochastic dynamical
systems in their parameter space by examining their time series using topological data …

Topological data analysis provides a multiscale description of the geometry and topology of
quantitative data. The persistence landscape is a topological summary that can be easily …

Persistent homology is a relatively new tool often used for qualitative analysis of intrinsic
topological features in images and data originated from scientific and engineering …

Persistent homology is a recently developed theory in the field of algebraic topology to study
shapes of datasets. It is an effective data analysis tool that is robust to noise and has been …

Comments• page viii, bottom of page: the following names should be added to the
acknowledgements:-Peter Landweber had an invaluable contribution to these notes. First …

We statistically infer fluid flow and transport properties of porous materials based on their
geometry and connectivity, without the need for detailed We summarize structure by …