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We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

Econometrics · Economics 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set,…

Optimization and Control · Mathematics 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

Topology optimization has matured to become a powerful engineering design tool that is capable of designing extraordinary structures and materials taking into account various physical phenomena. Despite the method's great advancements in…

Computational Engineering, Finance, and Science · Computer Science 2024-10-29 Anna Dalklint , Rasmus E. Christiansen , Ole Sigmund

We propose a novel approach to optimize the design of heterogeneous materials, with the goal of enhancing their effective fracture toughness under mode-I loading. The method employs a Gaussian processes-based Bayesian optimization framework…

Optimization and Control · Mathematics 2023-03-29 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

Placement is crucial in the physical design, as it greatly affects power, performance, and area metrics. Recent advancements in analytical methods, such as DREAMPlace, have demonstrated impressive performance in global placement. However,…

Machine Learning · Computer Science 2024-02-29 Ke Xue , Xi Lin , Yunqi Shi , Shixiong Kai , Siyuan Xu , Chao Qian

A broad class of optimization problems can be cast in composite form, that is, considering the minimization of the composition of a lower semicontinuous function with a differentiable mapping. This paper investigates the versatile template…

Optimization and Control · Mathematics 2024-08-07 Alberto De Marchi , Patrick Mehlitz

We address the question of how to make best use of imperfect objects, such as defective analog and digital components. We show that perfect, or near-perfect, devices can be constructed by taking combinations of such defects. Any remaining…

Statistical Mechanics · Physics 2009-11-07 D. Challet , N. F. Johnson

Additive manufacturing is a process that has facilitated the cost effective production of complicated designs. Objects fabricated via additive manufacturing technologies often suffer from dimensional accuracy issues and other part specific…

Graphics · Computer Science 2023-10-31 Margarita Ntousia , Ioannis Fudos , Spyridon Moschopoulos , Vasiliki Stamati

Resilient submodular maximization refers to the combinatorial problems studied by Nemhauser and Fisher and asks how to maximize an objective given a number of adversarial removals. For example, one application of this problem is multi-robot…

Systems and Control · Electrical Eng. & Systems 2021-05-12 Micah Corah

In a physical design problem, the designer chooses values of some physical parameters, within limits, to optimize the resulting field. We focus on the specific case in which each physical design parameter is the ratio of two field…

Optimization and Control · Mathematics 2020-02-19 Guillermo Angeris , Jelena Vučković , Stephen Boyd

This paper deals with a problem of production planning, which is a version of the capacitated single-item lot sizing problem with backordering under demand uncertainty, modeled by uncertain cumulative demands. The well-known interval…

Data Structures and Algorithms · Computer Science 2020-09-15 Romain Guillaume , Adam Kasperski , Pawel Zielinski

This work proposes an adaptive framework to solve a robust structural shape optimization problem governed by linear elasticity models that account for uncertainties in the loading and material inputs. A posteriori error estimators are…

Optimization and Control · Mathematics 2026-02-06 Oğuz Han Altıntaş , Hamdullah Yücel

We introduce a novel kind of robustness in linear programming. A solution x* is called robust optimal if for all realizations of objective functions coefficients and constraint matrix entries from given interval domains there are…

Optimization and Control · Mathematics 2019-05-27 Milan Hladík

Optimal designs for generalized linear models require a prior knowledge of the regression parameters. At certain values of the parameters we propose particular assumptions which allow to derive a locally optimal design for a model without…

Statistics Theory · Mathematics 2019-06-26 Osama Idais

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

Optimization and Control · Mathematics 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu

Robust estimation is much more challenging in high dimensions than it is in one dimension: Most techniques either lead to intractable optimization problems or estimators that can tolerate only a tiny fraction of errors. Recent work in…

Machine Learning · Computer Science 2018-03-14 Ilias Diakonikolas , Gautam Kamath , Daniel M. Kane , Jerry Li , Ankur Moitra , Alistair Stewart

We study a class of realistic computer vision settings wherein one can influence the design of the objects being recognized. We develop a framework that leverages this capability to significantly improve vision models' performance and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Hadi Salman , Andrew Ilyas , Logan Engstrom , Sai Vemprala , Aleksander Madry , Ashish Kapoor

Modular design maximizes utility by using standardized components in large-scale systems. From a manufacturing perspective, it supports green technology by reducing material waste and improving reusability. Industrially, it offers economic…

Emerging Technologies · Computer Science 2025-03-18 Sumin Lee , Namwoo Kang

Algorithmic recourse provides individuals who receive undesirable outcomes from machine learning systems with minimum-cost improvements to achieve a desirable outcome. However, machine learning models often get updated, so the recourse may…

Machine Learning · Computer Science 2026-04-28 Kshitij Kayastha , Vasilis Gkatzelis , Shahin Jabbari

We consider linear programs involving uncertain parameters and propose a new tractable robust counterpart which contains and generalizes several other models including the existing Affinely Adjustable Robust Counterpart and the Fully…

Optimization and Control · Mathematics 2016-04-12 Walid Ben-Ameur , Adam Ouorou , Guanglei Wang , Mateusz Żotkiewicz