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math.OC2024
On the proximal point algorithm for strongly quasiconvex functions in Hadamard spaces
Nicholas Pischke
We prove the convergence of the proximal point algorithm for finding the unique minimizer of a strongly quasiconvex function in general nonlinear Hadamard spaces, generalizing a re…
math.OC2024
Asymptotic regularity of a generalised stochastic Halpern scheme
Nicholas Pischke, Thomas Powell
We provide abstract, general and highly uniform rates of asymptotic regularity for a generalized stochastic Halpern-style iteration, which incorporates a second mapping in the styl…
math.LO2024★ 4 cited
Proof mining and probability theory
Morenikeji Neri, Nicholas Pischke
We extend the theoretical framework of proof mining by establishing general logical metatheorems that allow for the extraction of the computational content of theorems with prima f…