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Henry AdamsDepartment of Mathematics, Colorado State UniversityAn introduction to applied topology This talk is an introduction to computational topology, as applied to data analysis and to sensor networks. The shape of a dataset often reflects

Adrianna GillmanDepartment of Applied Mathematics, University of Colorado Â鶹ӰԺAn efficient and high order accurate direct solution technique for variable coefficient elliptic partial differential equations For many applications in

Convergence to the Mean Field Game Limit: A Case Study Mean field games are used as approximations to n-player games with large n. Indeed, n-player Nash equilibria are known to converge to their mean field counterpart when the latter is unique

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, Â鶹ӰԺ"Mathematical Biology and Sociology: a Buff's Perspective"  Daniel Appelö, Department of Applied Mathematics, Â鶹ӰԺ“