From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
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…
The gold partition conjecture and the Lexicographic sum of posets
Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim
If a finite poset satisfies the Gold Partition Conjecture, and is a finite poset, then for any in the lexicographic sum of with on the point , satisfies…