17 citations · 35 across the 9 of their papers we have counts for
14 papers
Steinhaus Filtration and Stable Paths in the Mapper
Dustin L. Arendt, Matthew Broussard, Bala Krishnamoorthy +2
We define a new filtration called the Steinhaus filtration built from a single cover based on a generalized Steinhaus distance, a generalization of Jaccard distance. The homology p…
Euler Transformation of Polyhedral Complexes
Prashant Gupta, Bala Krishnamoorthy
We propose an Euler transformation that transforms a given -dimensional cell complex for into a new -complex in which every vertex is part of a uniform…
Median Shapes
Yunfeng Hu, Matthew Hudelson, Bala Krishnamoorthy +2
We introduce and begin to explore the mean and median of finite sets of shapes represented as integral currents. The median can be computed efficiently in practice, and we focus mo…
Interesting Paths in the Mapper
Ananth Kalyanaraman, Methun Kamruzzaman, Bala Krishnamoorthy
The Mapper produces a compact summary of high dimensional data as a simplicial complex. We study the problem of quantifying the interestingness of subpopulations in a Mapper, which…
Hyppo-X: A Scalable Exploratory Framework for Analyzing Complex Phenomics Data
Methun Kamruzzaman, Ananth Kalyanaraman, Bala Krishnamoorthy +2
Phenomics is an emerging branch of modern biology that uses high throughput phenotyping tools to capture multiple environmental and phenotypic traits, often at massive spatial and…
Thinner is not Always Better: Cascade Knapsack Problems
Bala Krishnamoorthy
In the context of branch-and-bound (B&B) for integer programming (IP) problems, a direction along which the polyhedron of the IP has minimum width is termed a thin direction. We de…