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The cage problem concerns finding $(k,g)$-graphs, which are $k$-regular graphs with girth $g$, of the smallest possible number of vertices. The central goal is to determine $n(k,g)$, the minimum order of such a graph, and to identify…

组合数学 · 数学 2025-11-11 Geoffrey Exoo , Jan Goedgebeur , Jorik Jooken , Louis Stubbe , Tibo Van den Eede

Black box optimisation of an unknown function from expensive and noisy evaluations is a ubiquitous problem in machine learning, academic research and industrial production. An abstraction of the problem can be formulated as a kernel based…

机器学习 · 统计学 2023-02-02 Sattar Vakili , Danyal Ahmed , Alberto Bernacchia , Ciara Pike-Burke

Purpose: The development of metaheuristic algorithms has increased by researchers to use them extensively in the field of business, science, and engineering. One of the common metaheuristic optimization algorithms is called Grey Wolf…

人工智能 · 计算机科学 2021-03-11 Hardi M. Mohammed , Zrar Kh. Abdul , Tarik A. Rashid , Abeer Alsadoon , Nebojsa Bacanin

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

数据结构与算法 · 计算机科学 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel

Distributionally robust optimization (DRO) is an effective framework for controlling real-world systems with various uncertainties, typically modeled using distributional uncertainty balls. However, DRO problems often involve infinitely…

最优化与控制 · 数学 2025-10-22 Yuma Shida , Yuji Ito

The Knapsack Problem is a classic problem in combinatorial optimisation. Solving these problems may be computationally expensive. Recent years have seen a growing interest in the use of deep learning methods to approximate the solutions to…

机器学习 · 计算机科学 2023-12-07 Mitchell Keegan , Mahdi Abolghasemi

A new algorithm for regret minimization in online convex optimization is described. The regret of the algorithm after $T$ time periods is $O(\sqrt{T \log T})$ - which is the minimum possible up to a logarithmic term. In addition, the new…

机器学习 · 计算机科学 2023-07-24 Elad Hazan , Nimrod Megiddo

Recently, there has been a growing interest in distributionally robust optimization (DRO) as a principled approach to data-driven decision making. In this paper, we consider a distributionally robust two-stage stochastic optimization…

最优化与控制 · 数学 2020-12-07 Zhe Zhang , Shabbir Ahmed , Guanghui Lan

A novel inner approximation algorithm is proposed for dynamic optimization problems to ensure strict satisfaction of path constraints. Distinct from traditional methods relying on interval analysis, the proposed algorithm leverages the…

最优化与控制 · 数学 2026-02-10 Yuan Chang , Lizhong Jiang , Tai-Fang Li , Jun Fu

We consider scheduling problems for unit jobs with release times, where the number or size of the gaps in the schedule is taken into consideration, either in the objective function or as a constraint. Except for a few papers on energy…

数据结构与算法 · 计算机科学 2020-07-21 Marek Chrobak , Mordecai Golin , Tak-Wah Lam , Dorian Nogneng

In many real-world problems, first-order (FO) derivative evaluations are too expensive or even inaccessible. For solving these problems, zeroth-order (ZO) methods that only need function evaluations are often more efficient than FO methods…

最优化与控制 · 数学 2021-12-22 Zichong Li , Pin-Yu Chen , Sijia Liu , Songtao Lu , Yangyang Xu

We study novel robust zero-order algorithms with acceleration for the solution of real-time optimization problems. In particular, we propose a family of extremum seeking dynamics that can be universally modeled as singularly perturbed…

最优化与控制 · 数学 2020-12-17 Jorge I. Poveda , Na Li

This paper addresses the problem of learning to sparsify stochastic linear bandits, where a decision-maker sequentially selects actions from a high-dimensional space subject to a sparsity constraint on the number of nonzero elements in the…

机器学习 · 计算机科学 2026-05-12 Zhengmiao Wang , Ming Chi , Zhi-Wei Liu , Lintao Ye , Carla Fabiana Chiasserini

We present experimental and theoretical results on a method that applies a numerical solver iteratively to solve several non-negative quadratic programming problems in geometric optimization. The method gains efficiency by exploiting the…

计算几何 · 计算机科学 2023-11-21 Siu-Wing Cheng , Man Ting Wong

We consider binary integer programming problems with the min-max regret objective function under interval objective coefficients. We propose a new heuristic framework, which we call the iterated dual substitution (iDS) algorithm. The iDS…

最优化与控制 · 数学 2020-12-15 Wei Wu , Manuel Iori , Silvano Martello , Mutsunori Yagiura

In queueing systems, effective scheduling algorithms are essential for optimizing performance. Optimal scheduling for the M/G/k queue has been explored in the heavy traffic limit, but much remains unknown in the intermediate load regime. In…

性能 · 计算机科学 2025-12-09 Ziyuan Wang , Izzy Grosof

We give a lower bound on the iteration complexity of a natural class of Lagrangean-relaxation algorithms for approximately solving packing/covering linear programs. We show that, given an input with $m$ random 0/1-constraints on $n$…

数据结构与算法 · 计算机科学 2015-11-23 Phil Klein , Neal E. Young

In this paper a new evolutionary algorithm, for continuous nonlinear optimization problems, is surveyed. This method is inspired by the life of a bird, called Cuckoo. The Cuckoo Optimization Algorithm (COA) is evaluated by using the…

神经与进化计算 · 计算机科学 2014-05-12 Elham Shadkam , Mehdi Bijari

The focus of this paper is to increase our understanding of the Longest Processing Time First (LPT) heuristic. LPT is a classical heuristic for the fundamental problem of uniform machine scheduling. For different machine speeds, LPT was…

数据结构与算法 · 计算机科学 2024-10-02 L. Sunil Chandran , Rishikesh Gajjala , Shravan Mehra , Saladi Rahul

This paper proposes a novel first-order algorithm that solves composite nonsmooth and stochastic convex optimization problem with function constraints. Most of the works in the literature provide convergence rate guarantees on the…

最优化与控制 · 数学 2024-10-25 Digvijay Boob , Mohammad Khalafi