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math.OC2026
Optimal design with uncertainties: a risk-averse approach
Amal Alphonse, Petar Kunštek, Marko Vrdoljak
We study a class of stochastic optimal design problems for elliptic partial differential equations in divergence form, where the coefficients represent mixtures of two conducting m…
math.OC2026
Skip the Hessian, Keep the Rates: Globalized Semismooth Newton with Lazy Hessian Updates
Amal Alphonse, Pavel Dvurechensky, Clemens Sirotenko
Second-order methods are provably faster than first-order methods, and their efficient implementations for large-scale optimization problems have attracted significant attention. Y…