9 citations · 14 across the 9 of their papers we have counts for
9 papers
Essential Simplices Dominate in Harmonic Representatives of One-Dimensional Persistent Classes
Saugata Basu, Aldo Guzmán-Sáenz, Laxmi Parida
Persistent homology summarizes the birth and death of topological features, but it does not by itself specify where a feature is located in the underlying complex. Harmonic persist…
Probing omics data via harmonic persistent homology
Davide Gurnari, Aldo Guzmán-Sáenz, Filippo Utro +3
Identifying molecular signatures from complex disease patients with underlying symptomatic similarities is a significant challenge in the analysis of high dimensional multi-omics d…
Towards quantum-enabled cell-centric therapeutics
Saugata Basu, Jannis Born, Aritra Bose +30
In recent years, there has been tremendous progress in the development of quantum computing hardware, algorithms and services leading to the expectation that in the near future qua…
Sequents, barcodes, and homology
Saugata Basu, Negin Karisani, Laxmi Parida
We consider the problem of generating hypothesis from data based on ideas from logic. We introduce a notion of barcodes, which we call sequent barcodes, that mirrors the barcodes i…
Inferring COVID-19 Biological Pathways from Clinical Phenotypes via Topological Analysis
Negin Karisani, Daniel E. Platt, Saugata Basu +1
COVID-19 has caused thousands of deaths around the world and also resulted in a large international economic disruption. Identifying the pathways associated with this illness can h…
Utilizing stability criteria in choosing feature selection methods yields reproducible results in microbiome data
Lingjing Jiang, Niina Haiminen, Anna-Paola Carrieri +7
Feature selection is indispensable in microbiome data analysis, but it can be particularly challenging as microbiome data sets are high-dimensional, underdetermined, sparse and com…
IPED2: Inheritance Path based Pedigree Reconstruction Algorithm for Complicated Pedigrees
Dan He, Zhanyong Wang, Laxmi Parida +1
Reconstruction of family trees, or pedigree reconstruction, for a group of individuals is a fundamental problem in genetics. The problem is known to be NP-hard even for datasets kn…
MINT: Mutual Information based Transductive Feature Selection for Genetic Trait Prediction
Dan He, Irina Rish, David Haws +3
Whole genome prediction of complex phenotypic traits using high-density genotyping arrays has attracted a great deal of attention, as it is relevant to the fields of plant and anim…
Spectral Sequences, Exact Couples and Persistent Homology of filtrations
Saugata Basu, Laxmi Parida
In this paper we study the relationship between a very classical algebraic object associated to a filtration of spaces, namely a spectral sequence introduced by Leray in the 1940's…