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The Performance Estimation Problem (PEP) approach consists in computing worst-case performance bounds on optimization algorithms by solving an optimization problem: one maximizes an error criterion over all initial conditions allowed and…

Optimization and Control · Mathematics 2024-02-13 Anne Rubbens , Nizar Bousselmi , Sebastien Colla , Julien M. Hendrickx

This paper examines a Markovian model for the optimal irreversible investment problem of a firm aiming at minimizing total expected costs of production. We model market uncertainty and the cost of investment per unit of production capacity…

Probability · Mathematics 2017-01-10 Tiziano De Angelis , Salvatore Federico , Giorgio Ferrari

We study the maximum set coverage problem in the massively parallel model. In this setting, $m$ sets that are subsets of a universe of $n$ elements are distributed among $m$ machines. In each round, these machines can communicate with each…

Data Structures and Algorithms · Computer Science 2024-11-26 Thai Bui , Hoa T. Vu

Ontology engineering is a hard and error-prone task, in which small changes may lead to errors, or even produce an inconsistent ontology. As ontologies grow in size, the need for automated methods for repairing inconsistencies while…

Artificial Intelligence · Computer Science 2017-11-10 Nicolas Troquard , Roberto Confalonieri , Pietro Galliani , Rafael Penaloza , Daniele Porello , Oliver Kutz

Reconstruction of structure and parameters of an Ising model from binary samples is a problem of practical importance in a variety of disciplines, ranging from statistical physics and computational biology to image processing and machine…

Statistical Mechanics · Physics 2017-12-27 Andrey Y. Lokhov , Marc Vuffray , Sidhant Misra , Michael Chertkov

Algorithms for determining quality/cost/price tradeoffs in saturated markets are considered. A product is modeled by $d$ real-valued qualities whose sum determines the unit cost of producing the product. This leads to the following…

Computational Geometry · Computer Science 2009-03-03 Joachim Gudmundsson , Pat Morin , Michiel Smid

This paper introduces an optimal control framework to address the inverse problem using a learned regularizer, with applications in image reconstruction. We build upon the concept of Learnable Optimization Algorithms (LOA), which combine…

Optimization and Control · Mathematics 2024-09-04 Wanyu Bian

We present NNrepair, a constraint-based technique for repairing neural network classifiers. The technique aims to fix the logic of the network at an intermediate layer or at the last layer. NNrepair first uses fault localization to find…

Machine Learning · Computer Science 2021-06-16 Muhammad Usman , Divya Gopinath , Youcheng Sun , Yannic Noller , Corina Pasareanu

In this paper, we introduce the problem of rewriting finite formal languages using syntactic macros such that the rewriting is minimal in size. We present polynomial-time algorithms to solve variants of this problem and show their…

Artificial Intelligence · Computer Science 2023-12-19 Christian Kindermann , Anne-Marie George , Bijan Parsia , Uli Sattler

We present a method for obtaining approximate solutions to the problem of optimal execution, based on a signature method. The framework is general, only requiring that the price process is a geometric rough path and the price impact…

Computational Finance · Quantitative Finance 2019-05-03 Jasdeep Kalsi , Terry Lyons , Imanol Perez Arribas

Repairing inconsistent knowledge bases is a task that has been assessed, with great advances over several decades, from within the knowledge representation and reasoning and the database theory communities. As information becomes more…

Databases · Computer Science 2023-07-14 Sergio Abriola , Santiago Cifuentes , Nina Pardal , Edwin Pin

Optimization problems over permutation matrices appear widely in facility layout, chip design, scheduling, pattern recognition, computer vision, graph matching, etc. Since this problem is NP-hard due to the combinatorial nature of…

Optimization and Control · Mathematics 2016-09-01 Bo Jiang , Ya-Feng Liu , Zaiwen Wen

We investigate two new optimization problems -- minimizing a submodular function subject to a submodular lower bound constraint (submodular cover) and maximizing a submodular function subject to a submodular upper bound constraint…

Data Structures and Algorithms · Computer Science 2013-11-12 Rishabh Iyer , Jeff Bilmes

The problem of finding a constant bound on a term given a set of assumptions has wide applications in optimization as well as program analysis. However, in many contexts the objective term may be unbounded. Still, some sort of symbolic…

Programming Languages · Computer Science 2023-10-23 John Cyphert , Yotam Feldman , Zachary Kincaid , Thomas Reps

In this paper, we study a method for finding robust solutions to multiobjective optimization problems under uncertainty. We follow the set-based minmax approach for handling the uncertainties which leads to a certain set optimization…

Optimization and Control · Mathematics 2022-12-29 Gabriele Eichfelder , Ernest Quintana

Automatic program repair (APR) aims to reduce the manual efforts required to identify and fix errors in source code. Before the rise of LLM-based agents, a common strategy was to increase the number of generated patches, sometimes to the…

Software Engineering · Computer Science 2025-05-07 Fernando Vallecillos Ruiz , Max Hort , Leon Moonen

This paper is concerned with a compositional scheme for the construction of control barrier certificates for interconnected discrete-time stochastic systems. The main objective is to synthesize switching control policies against…

Systems and Control · Electrical Eng. & Systems 2022-07-06 Mahathi Anand , Abolfazl Lavaei , Majid Zamani

Semi-online algorithms that are allowed to perform a bounded amount of repacking achieve guaranteed good worst-case behaviour in a more realistic setting. Most of the previous works focused on minimization problems that aim to minimize some…

Data Structures and Algorithms · Computer Science 2021-04-21 Sebastian Berndt , Kilian Grage , Klaus Jansen , Lukas Johannsen , Maria Kosche

We study the optimal mechanism design problem faced by a market intermediary who makes revenue by connecting buyers and sellers. We first show that the optimal intermediation protocol has substantial structure: it is the solution to an…

Computer Science and Game Theory · Computer Science 2012-10-12 Kamal Jain , Christopher A. Wilkens

We study an iterative regularization method of optimal control problems with control constraints. The regularization method is based on generalized Bregman distances. We provide convergence results under a combination of a source condition…

Optimization and Control · Mathematics 2016-11-04 Frank Pörner , Daniel Wachsmuth
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