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QUBO Models in Optimization, Machine Learning, and Quantum ComputingThe Quadratic Unconstrained Binary Optimization (QUBO) model has gained prominence in recent years with the discovery that it unifies a rich variety of combinatorial optimization

Set Values for Nonzero Sum Games With Multiple EquilibriumsNonzero sum games typically have multiple Nash equilibriums (or no equilibriums), and unlike zero sum games, they may have different values at different equilibriums. While most

Cluster Synchronization in Networks with SymmetriesWe first review the master stability function (MSF) approach to synchronization of networks of coupled identical oscillators. The original formulation proposed by Pecora and Carroll applies to the

Optimal transport for seismic inversion: tackling the nonlinearity.  Full waveform inversion (FWI) is a seismic imaging method which is now part of the conventional imaging workflow in the industry. It is also used for global and regional

Computational Complexity, Dynamical Systems, and Non-Convex OptimizationFor a given computational problem, computational complexity asks the question of the resources needed - such as time, space, energy - by anyalgorithm which solves the

Using Survival Information in Truncation by Death Problems Without the Monotonicity Assumption In some randomized clinical trials, patients may die before the measurements of their outcomes. Even though randomization generates comparable

Nancy Rodriguez, Department of Applied Mathematics, ��������"Mathematical Biology and Sociology: a Buff's Perspective"  Daniel Appelö, Department of Applied Mathematics, ��������“

ontrolling oscillations in high-order accurate methods through neural networksWhile discontinuous Galerkin methods have proven themselves to be powerful computational methods, capable of accurately solving a variety of PDE's, the combination of high

Neuroendocrine stress response and PTSDThe hypothalamic-pituitary-adrenal (HPA) axis is a neuroendocrine system that regulates numerous physiological processes. Disruptions are correlated with stress-related diseases such as PTSD and major

A touch of non-linearity in fluid fields: where spheres “think” collectively and swim togetherFrom crawling cells to orca whales, swimming in nature occurs at different scales. The study of swimming across length scales can shed light onto