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This paper investigates the problem of determining a binary-valued function through a sequence of strategically selected queries. The focus is an algorithm called Generalized Binary Search (GBS). GBS is a well-known greedy algorithm for…

Machine Learning · Statistics 2013-06-26 Robert D. Nowak

This paper proposes two approaches for inferencing binary codes in two-step (supervised, unsupervised) hashing. We first introduce an unified formulation for both supervised and unsupervised hashing. Then, we cast the learning of one bit as…

Computer Vision and Pattern Recognition · Computer Science 2016-07-20 Thanh-Toan Do , Anh-Dzung Doan , Duc-Thanh Nguyen , Ngai-Man Cheung

Bayesian Optimization (BO) has been widely applied to optimize expensive black-box functions while retaining sample efficiency. However, scaling BO to high-dimensional spaces remains challenging. Existing literature proposes performing…

Machine Learning · Computer Science 2025-08-27 Quanlin Chen , Yiyu Chen , Jing Huo , Tianyu Ding , Yang Gao , Yuetong Chen

We present Bayesian Binary Search (BBS), a novel probabilistic variant of the classical binary search/bisection algorithm. BBS leverages machine learning/statistical techniques to estimate the probability density of the search space and…

Machine Learning · Computer Science 2024-10-03 Vikash Singh , Matthew Khanzadeh , Vincent Davis , Harrison Rush , Emanuele Rossi , Jesse Shrader , Pietro Lio

Bilevel optimization has been widely used in decision-making process. However, there still lacks an efficient algorithm to determine an optimal solution of a bilevel optimization problem, especially for a large-size problem. To bridge the…

Optimization and Control · Mathematics 2016-05-18 Xuan Liu , Zuyi Li

We introduce quantum-enhanced memetic tabu search (QE-MTS), a non-variational hybrid algorithm that achieves state-of-the-art scaling for the low-autocorrelation binary sequence (LABS) problem. By seeding the classical MTS with high-quality…

Floor space optimization is a critical revenue management problem commonly encountered by retailers. It maximizes store revenue by optimally allocating floor space to product categories which are assigned to their most appropriate…

Artificial Intelligence · Computer Science 2021-05-21 Jiefeng Xu , Evren Gul , Alvin Lim

We consider an extension of the set covering problem (SCP) introducing (i)~multicover and (ii)~generalized upper bound (GUB)~constraints. For the conventional SCP, the pricing method has been introduced to reduce the size of instances, and…

Data Structures and Algorithms · Computer Science 2018-01-09 Shunji Umetani , Masanao Arakawa , Mutsunori Yagiura

We present a data mining approach for reducing the search space of local search algorithms in a class of binary integer programs including the set covering and partitioning problems. The quality of locally optimal solutions typically…

Data Structures and Algorithms · Computer Science 2017-05-15 Shunji Umetani

Searching on bipartite graphs serves as a fundamental task for various real-world applications, such as recommendation systems, database retrieval, and document querying. Conventional approaches rely on similarity matching in continuous…

Information Retrieval · Computer Science 2024-08-20 Yankai Chen , Yixiang Fang , Yifei Zhang , Chenhao Ma , Yang Hong , Irwin King

The paper deals with the makespan minimization in the hybrid flow shop scheduling problem with multiprocessor tasks. The hybrid flow shop (HFS) generalizes the classical flow shop processor configuration by replacing each processor…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-16 Adam Janiak , Damian Kowalczyk , Maciej Lichtenstein

Combinatorial optimization is an important application targeted by quantum computing. However, near-term hardware constraints make quantum algorithms unlikely to be competitive when compared to high-performing classical heuristics on large…

Quantum Physics · Physics 2021-06-14 Charles Moussa , Hao Wang , Henri Calandra , Thomas Bäck , Vedran Dunjko

The tabu and restart are two fundamental strategies for local search. In this paper, we improve the local search algorithms for solving the Maximum Weight Clique (MWC) problem by introducing new tabu and restart strategies. Both the tabu…

Artificial Intelligence · Computer Science 2018-04-24 Yi Fan , Nan Li , Chengqian Li , Zongjie Ma , Longin Jan Latecki , Kaile Su

For boolean quadratic programming (BQP), we will show that there is no duality gap between the primal and dual problems under some conditions by using the classical Lagrangian duality. A benchmark generator is given to create random BQP…

Numerical Analysis · Computer Science 2021-03-16 Xiaojun Zhou

This paper presents an investigation of two search techniques, tabu search (TS) and simulated annealing (SA), to assess their relative merits when applied to engineering design optimisation. Design optimisation problems are generally…

Neural and Evolutionary Computing · Computer Science 2016-05-20 Andy M. Connor , Kristina Shea

Multi-vehicle routing has become increasingly important with the rapid development of autonomous vehicle technology. Dial-a-ride problem, a variant of vehicle routing problem (VRP), deals with the allocation of customer requests to…

Artificial Intelligence · Computer Science 2018-02-15 Songguang Ho , Sarat Chandra Nagavarapu , Ramesh Ramasamy Pandi , Justin Dauwels

In the present paper we describe new heuristic technique, which can be applied to the optimization of pseudo-Boolean functions including Black-Box functions. This technique is based on a simple procedure which consists in transition from…

Neural and Evolutionary Computing · Computer Science 2019-08-05 Alexander A. Semenov

This paper improves the algorithms based on supporting halfspaces and quadratic programming for convex set intersection problems in our earlier paper in several directions. First, we give conditions so that much smaller quadratic programs…

Optimization and Control · Mathematics 2014-06-17 C. H. Jeffrey Pang

Low Autocorrelation Binary Sequences (LABS) is a particularly challenging binary optimization problem which quickly becomes intractable in finding the global optimum for problem sizes beyond 66. This aspect makes LABS appealing to use as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-18 Zhiwei Zhang , Jiayu Shen , Niraj Kumar , Marco Pistoia

This paper presents a variable neighborhood search (VNS) algorithm for solving bandwidth coloring problem (BCP) and bandwidth multicoloring problem (BMCP). BCP and BMCP are generalizations of the well known vertex coloring problem and they…

Data Structures and Algorithms · Computer Science 2019-02-20 Dragan Matic , Jozef Kratica , Vladimir Filipovic