26 citations
- Arizona State UniversityUS2 papers
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5 papers
A machine learning approach to using Quality-of-Life patient scores in guiding prostate radiation therapy dosing
Zhijian Yang, Daniel Olszewski, Chujun He +5
Thanks to advancements in diagnosis and treatment, prostate cancer patients have high long-term survival rates. Currently, an important goal is to preserve quality-of-life during a…
Extensions and Applications of Equitable Decompositions for Graphs with Symmetries
Amanda Francis, Dallas Smith, Derek Sorenson +1
We extend the theory of equitable decompositions, in which, if a graph has a particular type of symmetry, i.e. a uniform or basic automorphism , it is possible to use to dec…
Equitable Decompositions of Graphs
Wayne Barrett, Amanda Francis, Ben Webb
We investigate connections between the symmetries (automorphisms) of a graph and its spectral properties. Whenever a graph has a symmetry, i.e. a nontrivial automorphism , it is…
Invariant Measures for Hybrid Stochastic Systems
Xavier Garcia, Jennifer Kunze, Thomas Rudelius +4
In this paper, we seek to understand the behavior of dynamical systems that are perturbed by a parameter that changes discretely in time. If we impose certain conditions, we can st…
Limit and Morse Sets for Deterministic Hybrid Systems
Kimberly Ayers, Xavier Garcia, Jennifer Kunze +4
The term "hybrid system" refers to a continuous time dynamical system that undergoes Markovian perturbations at discrete time intervals. In this paper, we find that under the right…