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math.OC2024★ 1 cited
Lipschitz minimization and the Goldstein modulus
Siyu Kong, Adrian S. Lewis
Goldstein's 1977 idealized iteration for minimizing a Lipschitz objective fixes a distance - the step size - and relies on a certain approximate subgradient. That "Goldstein subgra…
math.OC2022
The cost of nonconvexity in deterministic nonsmooth optimization
Siyu Kong, A. S. Lewis
We study the impact of nonconvexity on the complexity of nonsmooth optimization, emphasizing objectives such as piecewise linear functions, which may not be weakly convex. We focus…