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5 papers · 1 filter
Ensemble Kalman Sampler: mean-field limit and convergence analysis
Zhiyan Ding, Qin Li
Ensemble Kalman Sampler (EKS) is a method to find approximately samples from a target distribution. As of today, why the algorithm works and how it converges is mostly unk…
Estimating Color-Concept Associations from Image Statistics
Ragini Rathore, Zachary Leggon, Laurent Lessard +1
To interpret the meanings of colors in visualizations of categorical information, people must determine how distinct colors correspond to different concepts. This process is easier…
Applications of Kinetic Tools to Inverse Transport Problems
Qin Li, Weiran Sun
We show that the inverse problems for a class of kinetic equations can be solved by classical tools in PDE analysis including energy estimates and the celebrated averaging lemma. U…
Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit
Zhiyan Ding, Lukas Einkemmer, Qin Li
Dynamical low-rank algorithms are a class of numerical methods that compute low-rank approximations of dynamical systems. This is accomplished by projecting the dynamics onto a low…
A Distributed Optimization Algorithm over Time-Varying Graphs with Efficient Gradient Evaluations
Bryan Van Scoy, Laurent Lessard
We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication a…