2 citations · 2 across the 2 of their papers we have counts for
3 papers · 1 filter
The latent variable proximal point algorithm for variational problems with inequality constraints
Jørgen S. Dokken, Patrick E. Farrell, Brendan Keith +2
The latent variable proximal point (LVPP) algorithm is a framework for solving infinite-dimensional variational problems with pointwise inequality constraints. The algorithm is a s…
A Simple Introduction to the SiMPL Method for Density-Based Topology Optimization
Dohyun Kim, Boyan Stefanov Lazarov, Thomas M. Surowiec +1
We introduce a novel method for solving density-based topology optimization problems: Sigmoidal Mirror descent with a Projected Latent variable (SiMPL). The SiMPL method (pronounce…
Asymptotic Properties of Monte Carlo Methods in Elliptic PDE-Constrained Optimization under Uncertainty
Werner Römisch, Thomas M. Surowiec
Monte Carlo approximations for random linear elliptic PDE constrained optimization problems are studied. We use empirical process theory to obtain best possible mean convergence ra…