Publications (21)
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…
Quantum Analog of Shannon's Lower Bound Theorem
Saugata Basu, Laxmi Parida
Shannon proved that almost all Boolean functions require a circuit of size . We prove a quantum analog of this classical result. Unlike in the classical case the number…
Towards quantum computing for clinical trial design and optimization: A perspective on new opportunities and challenges
Hakan Doga, M. Emre Sahin, Joao Bettencourt-Silva +10
Clinical trials are pivotal in the drug discovery process to determine the safety and efficacy of a drug candidate. The high failure rates of these trials are attributed to deficie…
Experimental implementation of a discrete-time quantum walk on biological networks
Viacheslav Dubovitskii, Filippo Utro, Aritra Bose +3
Quantum walks provide a versatile framework for probing the structural and dynamical properties of complex systems ranging from biological networks to synthetic materials. However,…
Bounds on the realizations of zero-nonzero patterns and sign conditions of polynomials restricted to varieties and applications
Saugata Basu, Laxmi Parida
We obtain upper bounds, independent of the ambient dimension, for the number of realizable zero-nonzero patterns and (over ordered fields) sign conditions of a finite family of pol…
Essential Simplices Dominate in Harmonic Representatives of One-Dimensional Persistent Classes
Saugata Basu, Aldo Guzmán-Sáenz, Laxmi Parida
The paper proves that for generic one‑dimensional persistent homology classes, harmonic cycle representatives give strictly larger (in absolute value) coefficients to essential edg…