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A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

Quantum Physics · Physics 2009-10-30 Tad Hogg

Tree search is a fundamental tool for planning, as many sequential decision-making problems can be framed as searching over tree-structured spaces. We propose an uncertainty-guided tree search algorithm for settings where the reward…

Machine Learning · Computer Science 2025-09-05 Julia Grosse , Ruotian Wu , Ahmad Rashid , Cheng Zhang , Philipp Hennig , Pascal Poupart , Agustinus Kristiadi

In the bi-objective branch-and-bound literature, a key ingredient is objective branching, i.e. to create smaller and disjoint sub-problems in the objective space, obtained from the partial dominance of the lower bound set by the upper bound…

Data Structures and Algorithms · Computer Science 2023-09-26 Nicolas Forget , Sophie N. Parragh

We propose a new approach for solving combinatorial optimization problem by utilizing the mechanism of chases and escapes, which has a long history in mathematics. In addition to the well-used steepest descent and neighboring search, we…

Artificial Intelligence · Computer Science 2018-04-25 Toru Ohira

Branch and bound algorithms have to cope with several additional difficulties in the multi-objective case. Not only the bounding procedure is considerably weaker, but also the handling of upper and lower bound sets requires much more…

Optimization and Control · Mathematics 2023-11-13 Julius Bauß , Michael Stiglmayr

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Branch-and-Bound (B\&B) is an exact method in integer programming that recursively divides the search space into a tree. During the resolution process, determining the next subproblem to explore within the tree-known as the search…

Machine Learning · Computer Science 2024-12-18 Gwen Maudet , Grégoire Danoy

The branching algorithm is a fundamental technique for designing fast exponential-time algorithms to solve combinatorial optimization problems exactly. It divides the entire solution space into independent search branches using…

Optimization and Control · Mathematics 2024-12-11 Xuan-Zhao Gao , Yi-Jia Wang , Pan Zhang , Jin-Guo Liu

Constraint Optimization Problems (COP) pose intricate challenges in combinatorial problems usually addressed through Branch and Bound (B\&B) methods, which involve maintaining priority queues and iteratively selecting branches to search for…

Artificial Intelligence · Computer Science 2023-12-27 Yingkai Xiao , Jingjin Liu , Hankz Hankui Zhuo

Feature selection has been proven a powerful preprocessing step for high-dimensional data analysis. However, most state-of-the-art methods tend to overlook the structural correlation information between pairwise samples, which may…

Machine Learning · Computer Science 2019-07-02 Lu Bai , Lixin Cui , Yue Wang , Philip S. Yu , Edwin R. Hancock

The notion of expense in Bayesian optimisation generally refers to the uniformly expensive cost of function evaluations over the whole search space. However, in some scenarios, the cost of evaluation for black-box objective functions is…

Machine Learning · Computer Science 2019-09-10 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

The paper presents a comprehensive performance evaluation of some heuristic search algorithms in the context of autonomous systems and robotics. The objective of the study is to evaluate and compare the performance of different search…

Multiagent Systems · Computer Science 2023-10-05 Aya Kherrour , Marco Robol , Marco Roveri , Paolo Giorgini

We study the problem of structured prediction under test-time budget constraints. We propose a novel approach applicable to a wide range of structured prediction problems in computer vision and natural language processing. Our approach…

Machine Learning · Statistics 2016-06-09 Tolga Bolukbasi , Kai-Wei Chang , Joseph Wang , Venkatesh Saligrama

We present a new algorithm A*+BFHS for solving problems with unit-cost operators where A* and IDA* fail due to memory limitations and/or the existence of many distinct paths between the same pair of nodes. A*+BFHS is based on A* and…

Artificial Intelligence · Computer Science 2021-12-17 Zhaoxing Bu , Richard E. Korf

Decision trees are one of the most useful and popular methods in the machine learning toolbox. In this paper, we consider the problem of learning optimal decision trees, a combinatorial optimization problem that is challenging to solve at…

Machine Learning · Computer Science 2022-07-01 Rahul Mazumder , Xiang Meng , Haoyue Wang

Sensor systems are constrained by design and finding top sensor channel(s) for a given computational task is an important but hard problem. We define an optimization framework and mathematically formulate the minimum-cost channel selection…

Networking and Internet Architecture · Computer Science 2024-02-05 Ramesh Kumar Sah , Hassan Ghasemzadeh

Designing a search heuristic for constraint programming that is reliable across problem domains has been an important research topic in recent years. This paper concentrates on one family of candidates: counting-based search. Such…

Artificial Intelligence · Computer Science 2014-01-21 Gilles Pesant , Claude-Guy Quimper , Alessandro Zanarini

In data mining applications, feature selection is an essential process since it reduces a model's complexity. The cost of obtaining the feature values must be taken into consideration in many domains. In this paper, we study the…

Machine Learning · Computer Science 2013-06-04 Hong Zhao , Fan Min , William Zhu

The unit selection problem is to identify a group of individuals who are most likely to exhibit a desired mode of behavior, for example, selecting individuals who would respond one way if incentivized and a different way if not. The unit…

Artificial Intelligence · Computer Science 2022-10-18 Ang Li , Song Jiang , Yizhou Sun , Judea Pearl

Feature selection is a problem of finding efficient features among all features in which the final feature set can improve accuracy and reduce complexity. In feature selection algorithms search strategies are key aspects. Since feature…

Machine Learning · Computer Science 2016-01-27 Mohadeseh Montazeri , Hamid Reza Naji , Mitra Montazeri , Ahmad Faraahi