91 citations · 113 across the 13 of their papers we have counts for
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math.OC2022★ 10 cited
A Hamilton-Jacobi-based Proximal Operator
Stanley Osher, Howard Heaton, Samy Wu Fung
First-order optimization algorithms are widely used today. Two standard building blocks in these algorithms are proximal operators (proximals) and gradients. Although gradients can…
math.OC2022
Explainable AI via Learning to Optimize
Howard Heaton, Samy Wu Fung
Indecipherable black boxes are common in machine learning (ML), but applications increasingly require explainable artificial intelligence (XAI). The core of XAI is to establish tra…
math.OC2022
Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs
Howard Heaton, Samy Wu Fung, Stanley Osher
Computing tasks may often be posed as optimization problems. The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable. State-of-the-art methods…