no code implementations • 27 Feb 2024 • Bernardo Ameneyro, Rebekah Herrman, George Siopsis, Vasileios Maroulas
Topological Data Analysis methods can be useful for classification and clustering tasks in many different fields as they can provide two dimensional persistence diagrams that summarize important information about the shape of potentially complex and high dimensional data sets.
no code implementations • 13 May 2023 • Noah A. Crum, Leanto Sunny, Pooya Ronagh, Raymond Laflamme, Radhakrishnan Balu, George Siopsis
We investigate whether long-run persistent chain Monte Carlo simulation of Langevin dynamics improves the quality of the representations achieved by energy-based models (EBM).
no code implementations • 8 Nov 2022 • Bernardo Ameneyro, George Siopsis, Vasileios Maroulas
Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data through tracking topological features across changes in different scales.
no code implementations • 11 Feb 2021 • Rebekah Herrman, Lorna Treffert, James Ostrowski, Phillip C. Lotshaw, Travis S. Humble, George Siopsis
The quantum approximate optimization algorithm (QAOA) is a promising method of solving combinatorial optimization problems using quantum computing.
Combinatorial Optimization Quantum Physics