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This paper addresses the challenge of planning a sequence of tasks to be performed by multiple robots while minimizing the overall completion time subject to timing and precedence constraints. Our approach uses the Timed Partial Orders…

We consider multicriteria problems of evaluating absolute ratings (scores, priorities, weights) of given alternatives for making decisions, which are compared in pairs under several criteria. Given matrices of pairwise comparisons of…

最优化与控制 · 数学 2026-01-27 Nikolai Krivulin

The race for the most efficient, accurate, and universal algorithm in scientific computing drives innovation. At the same time, this healthy competition is only beneficial if the research output is actually comparable to prior results.…

数学软件 · 计算机科学 2023-09-15 Peter Benner , Kathryn Lund , Jens Saak

Large language models for code are advancing fast, yet our ability to evaluate them lags behind. Current benchmarks focus on narrow tasks and single metrics, which hide critical gaps in robustness, interpretability, fairness, efficiency,…

Black-box model-based optimization (MBO) problems, where the goal is to find a design input that maximizes an unknown objective function, are ubiquitous in a wide range of domains, such as the design of proteins, DNA sequences, aircraft,…

机器学习 · 计算机科学 2022-02-18 Brandon Trabucco , Xinyang Geng , Aviral Kumar , Sergey Levine

Model merging offers a scalable alternative to multi-task learning but often yields suboptimal performance on classification tasks. We attribute this degradation to a geometric misalignment between the merged encoder and static…

机器学习 · 计算机科学 2026-02-03 Fanshuang Kong , Richong Zhang , Zhijie Nie , Hang Zhou , Ziqiao Wang , Qiang Sun , Chunming Hu

Benchmarking heuristic algorithms is vital to understand under which conditions and on what kind of problems certain algorithms perform well. In most current research into heuristic optimization algorithms, only a very limited number of…

神经与进化计算 · 计算机科学 2024-02-26 Niki van Stein , Diederick Vermetten , Anna V. Kononova , Thomas Bäck

We consider a novel algorithm, for the completion of partially observed low-rank tensors, as a generalization of matrix completion. The proposed low-rank tensor completion (TC) method builds on the conventional nuclear norm (NN)…

机器学习 · 统计学 2026-05-06 Niclas Führling , Getuar Rexhepi , Giuseppe Thadeu Freitas de Abreu

LLM agents are rapidly evolving from coding assistants into autonomous software engineering systems. However, existing evaluation methodologies remain largely centered on static, isolated, and short-horizon benchmarks that fail to capture…

软件工程 · 计算机科学 2026-05-28 Yipeng Ouyang , Xin Huang , Bingjie Liu , Zhongchun Zheng , Yuhao Gu , Xianwei Zhang

Factor Analysis (FA) is a technique of fundamental importance that is widely used in classical and modern multivariate statistics, psychometrics and econometrics. In this paper, we revisit the classical rank-constrained FA problem, which…

统计方法学 · 统计学 2017-04-25 Dimitris Bertsimas , Martin S. Copenhaver , Rahul Mazumder

We consider the problem of minimizing a linear function over an affine section of the cone of positive semidefinite matrices, with the additional constraint that the feasible matrix has prescribed rank. When the rank constraint is active,…

系统与控制 · 计算机科学 2016-11-22 Simone Naldi

Methods that move towards less supervised scenarios are key for image segmentation, as dense labels demand significant human intervention. Generally, the annotation burden is mitigated by labeling datasets with weaker forms of supervision,…

计算机视觉与模式识别 · 计算机科学 2019-05-27 Miriam Bellver , Amaia Salvador , Jordi Torres , Xavier Giro-i-Nieto

Hypergraph matching has recently become a popular approach for solving correspondence problems in computer vision as it allows to integrate higher-order geometric information. Hypergraph matching can be formulated as a third-order…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Quynh Nguyen , Francesco Tudisco , Antoine Gautier , Matthias Hein

Quantum computers show potential for achieving computational advantage over classical computers, with many candidate applications in combinatorial optimisation. We present an application level benchmarking framework for near-term quantum…

In this paper, we propose a method for the approximation of the solution of high-dimensional weakly coercive problems formulated in tensor spaces using low-rank approximation formats. The method can be seen as a perturbation of a minimal…

数值分析 · 数学 2015-02-13 Marie Billaud-Friess , Anthony Nouy , Olivier Zahm

This research concerns a type of configuration optimization problems frequently encountered in engineering design and manufacturing, where the envelope volume in space occupied by a number of components needs to be minimized along with…

计算工程、金融与科学 · 计算机科学 2017-06-13 Pei Cao , Zhaoyan Fan , Robert X. Gao , Jiong Tang

Optimization modeling translates real decision-making problems into mathematical optimization models and solver-executable implementations. Although language models are increasingly used to generate optimization formulations and solver…

A mean field feedback artificial neural network algorithm is developed and explored for the set covering problem. A convenient encoding of the inequality constraints is achieved by means of a multilinear penalty function. An approximate…

神经与进化计算 · 计算机科学 2007-05-23 Mattias Ohlsson , Carsten Peterson , Bo Söderberg

Autonomy and electrification in automotive control systems have made modern-day powertrains one of the most complex cyber-physical systems. This paper presents a benchmark algorithm to quantify the performance of complex automotive systems…

系统与控制 · 电气工程与系统科学 2021-06-04 Hamza Anwar , Aashrith Vishwanath , Apurva Chunodkar , Qadeer Ahmed

We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-criteria problems of rating alternatives from pairwise…

最优化与控制 · 数学 2018-02-01 N. Krivulin , S. Sergeev