16 citations · 31 across the 14 of their papers we have counts for
11 papers · 1 filter
Risk-Averse Ensemble Control for Control-Affine Systems
Alessandro Scagliotti, Thomas M. Surowiec
A number of important modern applications in optimal control can be formulated as open loop control problems in which the underlying dynamical systems are subject to random inputs.…
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…
Analysis of the SiMPL method for density-based topology optimization
Brendan Keith, Dohyun Kim, Boyan S. Lazarov +1
We present a rigorous convergence analysis of a new method for density-based topology optimization that provides point-wise bound preserving design updates and faster convergence t…
A Risk Management Perspective on Statistical Estimation and Generalized Variational Inference
Aurya S. Javeed, Drew P. Kouri, Thomas M. Surowiec
Generalized variational inference (GVI) provides an optimization-theoretic framework for statistical estimation that encapsulates many traditional estimation procedures. The typica…
Optimal Control of the Landau-de Gennes Model of Nematic Liquid Crystals
Thomas M. Surowiec, Shawn W. Walker
We present an analysis and numerical study of an optimal control problem for the Landau-de Gennes (LdG) model of nematic liquid crystals (LCs), which is a crucial component in mode…
Risk-averse optimal control of random elliptic variational inequalities
Amal Alphonse, Caroline Geiersbach, Michael Hintermüller +1
We consider a risk-averse optimal control problem governed by an elliptic variational inequality (VI) subject to random inputs. By deriving KKT-type optimality conditions for a pen…
Asymptotic Consistency for Nonconvex Risk-Averse Stochastic Optimization with Infinite Dimensional Decision Spaces
Johannes Milz, Thomas M. Surowiec
Optimal values and solutions of empirical approximations of stochastic optimization problems can be viewed as statistical estimators of their true values. From this perspective, it…
Optimal Control of the Kirchhoff Equation
Masoumeh Hashemi, Roland Herzog, Thomas M. Surowiec
We consider an optimal control problem for the steady-state Kirchhoff equation, a prototype for nonlocal partial differential equations, different from fractional powers of closed…
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…
Deflation for semismooth equations
Patrick E. Farrell, Matteo Croci, Thomas M. Surowiec
Variational inequalities can in general support distinct solutions. In this paper we study an algorithm for computing distinct solutions of a variational inequality, without varyin…