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Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

Machine Learning · Computer Science 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

Shifted combinatorial optimization is a new nonlinear optimization framework which is a broad extension of standard combinatorial optimization, involving the choice of several feasible solutions at a time. This framework captures well…

Computational Complexity · Computer Science 2021-02-25 Jakub Gajarský , Petr Hliněný , Martin Koutecký , Shmuel Onn

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

Multi-objective optimization (MOO) is a prevalent challenge for Deep Learning, however, there exists no scalable MOO solution for truly deep neural networks. Prior work either demand optimizing a new network for every point on the Pareto…

Machine Learning · Computer Science 2021-10-15 Michael Ruchte , Josif Grabocka

The Prize-Collecting Steiner Tree (PCST) problem is a generalization of the Steiner Tree problem that has applications in network design, content distribution networks, and many more. There are a few centralized approximation algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-21 Parikshit Saikia , Sushanta Karmakar , Aris T. Pagourtzis

Given a graph of which the n vertices form a regular two-dimensional grid, and in which each (possibly weighted and/or directed) edge connects a vertex to one of its eight neighbours, the following can be done in O(scan(n)) I/Os, provided M…

Data Structures and Algorithms · Computer Science 2012-11-12 Herman Haverkort

Many differentially private and classical non-private graph algorithms rely crucially on determining whether some property of each vertex meets a threshold. For example, for the $k$-core decomposition problem, the classic peeling algorithm…

Data Structures and Algorithms · Computer Science 2025-08-05 Laxman Dhulipala , Monika Henzinger , George Z. Li , Quanquan C. Liu , A. R. Sricharan , Leqi Zhu

We present an algorithm that efficiently computes nearly-optimal solutions to a class of combinatorial reconfiguration problems on weighted, undirected graphs. Inspired by societally relevant applications in networked infrastructure…

Optimization and Control · Mathematics 2025-10-29 Samuel Talkington , Dmitrii M. Ostrovskii , Daniel K. Molzahn

Structured convex optimization on weighted graphs finds numerous applications in machine learning and computer vision. In this work, we propose a novel adaptive preconditioning strategy for proximal algorithms on this problem class. Our…

Optimization and Control · Mathematics 2020-02-28 Zhenzhang Ye , Thomas Möllenhoff , Tao Wu , Daniel Cremers

Let $G$ be an $n$-node and $m$-edge positively real-weighted undirected graph. For any given integer $f \ge 1$, we study the problem of designing a sparse \emph{f-edge-fault-tolerant} ($f$-EFT) $\sigma${\em -approximate single-source…

Data Structures and Algorithms · Computer Science 2016-01-22 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

Bounded-angle (minimum) spanning trees were first introduced in the context of wireless networks with directional antennas. They are reminiscent of bounded-degree spanning trees, which have received significant attention. Let $P =…

Computational Geometry · Computer Science 2020-10-23 Stav Ashur , Matthew J. Katz

An algorithm on weighted graphs is called universally optimal if it is optimal for every input graph, in the worst case taken over all weight assignments. Informally, this means the algorithm is competitive even with algorithms that are…

Data Structures and Algorithms · Computer Science 2026-02-19 Benjamin Aram Berendsohn

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

Optimization and Control · Mathematics 2023-12-05 Jiawang Nie , Zi Yang

The maximum independent set problem is a classic optimization problem that has also been studied quite intensively in the distributed setting. While the problem is hard to approximate in general, there are good approximation algorithms…

Data Structures and Algorithms · Computer Science 2025-06-13 Salwa Faour , Fabian Kuhn

Parametric multi-objective optimization (PMO) addresses the challenge of solving an infinite family of multi-objective optimization problems, where optimal solutions must adapt to varying parameters. Traditional methods require re-execution…

Neural and Evolutionary Computing · Computer Science 2025-11-11 Ji Cheng , Bo Xue , Qingfu Zhang

This work considers a multiobjective version of the unit commitment problem that deals with finding the optimal generation schedule of a firm, over a period of time and a given electrical network. With growing importance of environmental…

Optimization and Control · Mathematics 2025-01-14 Ece Tevruez , Aswin Kannan

This paper proposes a novel representation of decomposable graphs based on semi-latent tree-dependent bipartite graphs. The novel representation has two main benefits. First, it enables a form of sub-clustering within maximal cliques of the…

Methodology · Statistics 2017-12-05 Mohamad Elmasri

Stochastic alternating algorithms for bi-objective optimization are considered when optimizing two conflicting functions for which optimization steps have to be applied separately for each function. Such algorithms consist of applying a…

Optimization and Control · Mathematics 2023-01-09 Suyun Liu , Luis Nunes Vicente

For an undirected graph G, we consider the following problems: given a fixed graph H, can we partition the vertices of G into two non-empty sets A and B such that neither the induced graph G[A] nor G[B] contain H (i) as a subgraph? (ii) as…

Data Structures and Algorithms · Computer Science 2018-04-12 N. R. Aravind , Subrahmanyam Kalyanasundaram , Anjeneya Swami Kare

We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

Data Structures and Algorithms · Computer Science 2017-12-15 Andrzej Jaszkiewicz
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