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Discrete optimization is a central problem in artificial intelligence. The optimization of the aggregated cost of a network of cost functions arises in a variety of problems including (W)CSP, DCOP, as well as optimization in stochastic…

Artificial Intelligence · Computer Science 2018-01-12 Ferdinando Fioretto , Enrico Pontelli , William Yeoh , Rina Dechter

Local fixpoint iteration describes a technique that restricts fixpoint iteration in function spaces to needed arguments only. It has been studied well for first-order functions in abstract interpretation and also in model checking. Here we…

Logic in Computer Science · Computer Science 2020-09-24 Florian Bruse , Jörg Kreiker , Martin Lange , Marco Sälzer

We present a class of iterative fully distributed fixed point methods to solve a system of linear equations, such that each agent in the network holds one of the equations of the system. Under a generic directed, strongly connected network,…

Numerical Analysis · Mathematics 2020-01-16 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic , Greta Malaspina , Alessandra Micheletti

Multi-constraint planning involves identifying, evaluating, and refining candidate plans while satisfying multiple, potentially conflicting constraints. Existing large language model (LLM) approaches face fundamental limitations in this…

Artificial Intelligence · Computer Science 2026-01-26 Derrick Goh Xin Deik , Quanyu Long , Zhengyuan Liu , Nancy F. Chen , Wenya Wang

This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence may exhibit instabilities similar to those of the base…

Numerical Analysis · Mathematics 2025-10-21 Nicolas A. Barnafi , Felipe Galarce , Pablo Brubeck

In this paper an efficient model based diagnostic process is described for systems whose components possess a causal relation between their inputs and their outputs. In this diagnostic process, firstly, a set of focuses on likely broken…

Artificial Intelligence · Computer Science 2022-09-21 Nico Roos

We consider large linear and nonlinear fixed point problems, and solution with proximal algorithms. We show that there is a close connection between two seemingly different types of methods from distinct fields: 1) Proximal iterations for…

Numerical Analysis · Computer Science 2019-09-05 Dimitri P. Bertsekas

Standard model predictive control strategies imply the online computation of control inputs at each sampling instance, which traditionally limits this type of control scheme to systems with slow dynamics. This paper focuses on distributed…

Optimization and Control · Mathematics 2013-02-26 Ion Necoara , Dragos N. Clipici , Sorin Olaru

Solving integer optimization problems with large or widely ranged objective coefficients can lead to numerical instability and increased runtimes. When the problem also involves multiple objectives, the impact of the objective coefficients…

Optimization and Control · Mathematics 2025-12-02 Stephanie Riedmüller , Thorsten Koch

Destination passing -- aka. out parameters -- is taking a parameter to fill rather than returning a result from a function. Due to its apparently imperative nature, destination passing has struggled to find its way to pure functional…

Programming Languages · Computer Science 2025-03-11 Thomas Bagrel , Arnaud Spiwack

Large Language Models (LLMs) have demonstrated strong capabilities in natural language understanding and reasoning. However, their ability to perform exact, deterministic computation remains unclear. In this work, we systematically evaluate…

Artificial Intelligence · Computer Science 2026-05-08 Hongkun Yu

Iterative differential approximation methods that rely upon backpropagation have enabled the optimization of neural networks; however, at present, they remain computationally expensive, especially when training models at scale. In this…

Machine Learning · Computer Science 2023-11-14 Jake Ryland Williams , Haoran Zhao

Rental-based business models and increasing sustainability requirements intensify the need for efficient strategies to manage large machine and vehicle fleet renewal and upgrades. Optimized fleet upgrade strategies maximize overall utility,…

Optimization and Control · Mathematics 2025-08-11 Kenrick Howin Chai , Stefan Hildebrand , Tobias Lachnit , Martin Benfer , Gisela Lanza , Sandra Klinge

We present a systematic, algebraically based, design methodology for efficient implementation of computer programs optimized over multiple levels of the processor/memory and network hierarchy. Using a common formalism to describe the…

Mathematical Software · Computer Science 2008-03-18 Lenore R. Mullin , James E. Raynolds

Machine learning models can assign fixed predictions that preclude individuals from changing their outcome. Existing approaches to audit fixed predictions do so on a pointwise basis, which requires access to an existing dataset of…

Machine Learning · Computer Science 2025-07-10 Connor Lawless , Tsui-Wei Weng , Berk Ustun , Madeleine Udell

If the dynamics of an evolutionary differential equation system possess a low-dimensional, attracting, slow manifold, there are many advantages to using this manifold to perform computations for long term dynamics, locating features such as…

Computational Physics · Physics 2007-05-23 C. W. Gear , I. G. Kevrekidis

An algorithm for computing the stable model semantics of logic programs is developed. It is shown that one can extend the semantics and the algorithm to handle new and more expressive types of rules. Emphasis is placed on the use of…

Logic in Computer Science · Computer Science 2007-05-23 Patrik Simons

In distributed model predictive control (DMPC), where a centralized optimization problem is solved in distributed fashion using dual decomposition, it is important to keep the number of iterations in the solution algorithm, i.e. the amount…

Optimization and Control · Mathematics 2013-07-11 Pontus Giselsson , Anders Rantzer

Modern computer systems are highly configurable, with hundreds of configuration options that interact, resulting in an enormous configuration space. As a result, optimizing performance goals (e.g., latency) in such systems is challenging…

Performance · Computer Science 2023-10-04 Md Shahriar Iqbal , Ziyuan Zhong , Iftakhar Ahmad , Baishakhi Ray , Pooyan Jamshidi

We propose a methodology, based on machine learning and optimization, for selecting a solver configuration for a given instance. First, we employ a set of solved instances and configurations in order to learn a performance function of the…

Optimization and Control · Mathematics 2024-01-10 Gabriele Iommazzo , Claudia D'Ambrosio , Antonio Frangioni , Leo Liberti
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