Designing inflatable structures

M Skouras, B Thomaszewski, P Kaufmann… - ACM Transactions on …, 2014 - dl.acm.org
We propose an interactive, optimization-in-the-loop tool for designing inflatable structures.
Given a target shape, the user draws a network of seams defining desired segment …

Sequential quadratic optimization for nonlinear equality constrained stochastic optimization

AS Berahas, FE Curtis, D Robinson, B Zhou - SIAM Journal on Optimization, 2021 - SIAM
Sequential quadratic optimization algorithms are proposed for solving smooth nonlinear
optimization problems with equality constraints. The main focus is an algorithm proposed for …

Inexact sequential quadratic optimization for minimizing a stochastic objective function subject to deterministic nonlinear equality constraints

FE Curtis, DP Robinson, B Zhou - arXiv preprint arXiv:2107.03512, 2021 - arxiv.org
An algorithm is proposed, analyzed, and tested experimentally for solving stochastic
optimization problems in which the decision variables are constrained to satisfy equations …

Natural preconditioning and iterative methods for saddle point systems

J Pestana, AJ Wathen - siam REVIEW, 2015 - SIAM
The solution of quadratic or locally quadratic extremum problems subject to linear (ized)
constraints gives rise to linear systems in saddle point form. This is true whether in the …

A matrix-free trust-region SQP method for equality constrained optimization

M Heinkenschloss, D Ridzal - SIAM Journal on Optimization, 2014 - SIAM
We develop and analyze a trust-region sequential quadratic programming (SQP) method for
the solution of smooth equality constrained optimization problems, which allows the inexact …

An interior-point algorithm for large-scale nonlinear optimization with inexact step computations

FE Curtis, O Schenk, A Wächter - SIAM Journal on Scientific Computing, 2010 - SIAM
We present a line-search algorithm for large-scale continuous optimization. The algorithm is
matrix-free in that it does not require the factorization of derivative matrices. Instead, it uses …

An adaptive sampling sequential quadratic programming method for equality constrained stochastic optimization

AS Berahas, R Bollapragada, B Zhou - arXiv preprint arXiv:2206.00712, 2022 - arxiv.org
This paper presents a methodology for using varying sample sizes in sequential quadratic
programming (SQP) methods for solving equality constrained stochastic optimization …

An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems

L Fang, S Vandewalle, J Meyers - Journal of Computational Physics, 2023 - Elsevier
Multiple shooting methods for solving optimal control problems have been developed
rapidly in the past decades and are widely considered a promising direction to speed up the …

Inertia-revealing preconditioning for large-scale nonconvex constrained optimization

O Schenk, A Wächter, M Weiser - SIAM Journal on Scientific Computing, 2009 - SIAM
Fast nonlinear programming methods following the all-at-once approach usually employ
Newton's method for solving linearized Karush–Kuhn–Tucker (KKT) systems. In nonconvex …

Constrained optimization via exact augmented lagrangian and randomized iterative sketching

I Hong, S Na, MW Mahoney… - … Conference on Machine …, 2023 - proceedings.mlr.press
We consider solving equality-constrained nonlinear, nonconvex optimization problems. This
class of problems appears widely in a variety of applications in machine learning and …