27 citations · 63 across the 13 of their papers we have counts for
16 papers
Hybrid quantum-classical attention for histopathology-based molecular profiling in data-limited cancers
Kahn Rhrissorrakrai, Aritra Bose, Aldo Guzman-Saenz +3
Molecular profiling from routine histopathology could expand access to precision oncology when sequencing is unavailable, tissue is limited, or training cohorts are small. We devel…
Knots, black holes, databases, and birthdays: Collision entropy of knot invariants
Pedro Olivares-Sánchez, Edison Jessie Vázquez Gordillo, Radmila Sazdanović +5
A knot invariant is a fingerprint shared by equivalent knots: unequal values certify inequivalence, while equal values may conceal different knots. Under two rooted random-diagram…
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…
Quantum Ensembling Methods for Healthcare and Life Science
Kahn Rhrissorrakrai, Kathleen E. Hamilton, Prerana Bangalore Parthsarathy +4
Learning on small data is a challenge frequently encountered in many real-world applications. In this work we study how effective quantum ensemble models are when trained on small…
Order Theory in the Context of Machine Learning
Eric Dolores-Cuenca, Aldo Guzman-Saenz, Sangil Kim +2
The paper ``Tropical Geometry of Deep Neural Networks'' by L. Zhang et al. introduces an equivalence between integer-valued neural networks (IVNN) with and tropic…
The gold partition conjecture and the Lexicographic sum of posets
Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim
We prove that if a finite poset satisfies the Gold Partition Conjecture, and is a finite poset, then for any the lexicographic sum of with on t…
TopoX: A Suite of Python Packages for Machine Learning on Topological Domains
Mustafa Hajij, Mathilde Papillon, Florian Frantzen +40
We introduce TopoX, a Python software suite that provides reliable and user-friendly building blocks for computing and machine learning on topological domains that extend graphs: h…
Topo-MLP : A Simplicial Network Without Message Passing
Karthikeyan Natesan Ramamurthy, Aldo Guzmán-Sáenz, Mustafa Hajij
Due to their ability to model meaningful higher order relations among a set of entities, higher order network models have emerged recently as a powerful alternative for graph-based…
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…
Simplicial complex entropy for time series analysis
L. Guzman-Vargas, A. Zabaleta-Ortega, A. Guzman-Saenz
The complex behavior of many systems in nature requires the application of robust methodologies capable of identifying changes in their dynamics. In the case of time series (which…
ICML 2023 Topological Deep Learning Challenge : Design and Results
Mathilde Papillon, Mustafa Hajij, Helen Jenne +53
This paper presents the computational challenge on topological deep learning that was hosted within the ICML 2023 Workshop on Topology and Geometry in Machine Learning. The competi…
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…
Topological Deep Learning: Going Beyond Graph Data
Mustafa Hajij, Ghada Zamzmi, Theodore Papamarkou +11
Topological deep learning is a rapidly growing field that pertains to the development of deep learning models for data supported on topological domains such as simplicial complexes…
Self-Organized Criticality and Pattern Emergence through the lens of Tropical Geometry
Nikita Kalinin, Aldo Guzmán-Sáenz, Yulieth Prieto +3
Tropical Geometry, an established field in pure mathematics, is a place where String Theory, Mirror Symmetry, Computational Algebra, Auction Theory, etc, meet and influence each ot…
The stability of the higher topological complexity of real projective spaces: an approach to their immersion dimension
Natalia Cadavid, Jesús González, Aldo Guzmán-Sáenz
The -th higher topological complexity of a space , , can be estimated from above by homotopical methods, and from below by homological methods. We give a thorough an…
The cohomology ring away from 2 of configuration spaces on real projective spaces
Jesús González, Aldo Guzmán-Sáenz, Miguel Xicotencatl
Let R be a commutative ring containing 1/2. We compute the R-cohomology ring of the configuration space F(m,k) of k ordered points in the m-dimensional real projective space. The m…