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The school choice problem concerns the design and implementation of matching mechanisms that produce school assignments for students within a given public school district. Previously considered criteria for evaluating proposed mechanisms…

Optimization and Control · Mathematics 2013-05-01 Sinan Aksoy , Alexander Adam Azzam , Chaya Coppersmith , Julie Glass , Gizem Karaali , Xueying Zhao , Xinjing Zhu

Local Search is one of the fundamental approaches to combinatorial optimization and it is used throughout AI. Several local search algorithms are based on searching the k-exchange neighborhood. This is the set of solutions that can be…

Data Structures and Algorithms · Computer Science 2012-08-20 Serge Gaspers , Eun Jung Kim , Sebastian Ordyniak , Saket Saurabh , Stefan Szeider

In real-world applications of education, an effective teacher adaptively chooses the next example to teach based on the learner's current state. However, most existing work in algorithmic machine teaching focuses on the batch setting, where…

Machine Learning · Computer Science 2018-12-11 Yuxin Chen , Adish Singla , Oisin Mac Aodha , Pietro Perona , Yisong Yue

Inspired by real-world applications such as the assignment of pupils to schools or the allocation of social housing, the one-sided matching problem studies how a set of agents can be assigned to a set of objects when the agents have…

Data Structures and Algorithms · Computer Science 2023-06-26 Tom Demeulemeester , Dries Goossens , Ben Hermans , Roel Leus

We consider a multi-neighborhood local search algorithm with a large number of possible neighborhoods. Each neighborhood is accompanied by a weight value which represents the probability of being chosen at each iteration. These weights are…

Artificial Intelligence · Computer Science 2016-03-22 Nguyen Thi Thanh Dang , Patrick De Causmaecker

In certain real-world optimization scenarios, practitioners are not interested in solving multiple problems but rather in finding the best solution to a single, specific problem. When the computational budget is large relative to the cost…

Machine Learning · Computer Science 2026-02-10 Judith Echevarrieta , Etor Arza , Aritz Pérez , Josu Ceberio

In this paper, we propose a learning algorithm that speeds up the search in task and motion planning problems. Our algorithm proposes solutions to three different challenges that arise in learning to improve planning efficiency: what to…

Robotics · Computer Science 2018-07-27 Beomjoon Kim , Zi Wang , Leslie Pack Kaelbling , Tomas Lozano-Perez

Machine teaching often involves the creation of an optimal (typically minimal) dataset to help a model (referred to as the `student') achieve specific goals given by a teacher. While abundant in the continuous domain, the studies on the…

Machine Learning · Computer Science 2024-02-01 Xiaodong Wu , Yufei Han , Hayssam Dahrouj , Jianbing Ni , Zhenwen Liang , Xiangliang Zhang

Applying local search algorithms to combinatorial optimization problems is not an easy feat. Typically, human intervention is required to compile the constraints to input data for some metaheuristic algorithm. In this paper, we establish a…

Artificial Intelligence · Computer Science 2026-05-20 Jo Devriendt , Patrick De Causmaecker , Marc Denecker

We develop a variable depth search heuristic for the quadratic assignment problem. The heuristic is based on sequential changes in assignments analogous to the Lin-Kernighan sequential edge moves for the traveling salesman problem. We treat…

Data Structures and Algorithms · Computer Science 2009-12-31 Gerald Paul

We consider an agent seeking to obtain an item, potentially available at different locations in a physical environment. The traveling costs between locations are known in advance, but there is only probabilistic knowledge regarding the…

Multiagent Systems · Computer Science 2015-09-29 Noam Hazon , Mira Gonen , Max Kleb

Resource-constrained classification tasks are common in real-world applications such as allocating tests for disease diagnosis, hiring decisions when filling a limited number of positions, and defect detection in manufacturing settings…

Machine Learning · Computer Science 2023-11-22 Danit Shifman Abukasis , Izack Cohen , Xiaochen Xian , Kejun Huang , Gonen Singer

Placing applications in mobile edge computing servers presents a complex challenge involving many servers, users, and their requests. Existing algorithms take a long time to solve high-dimensional problems with significant uncertainty…

Machine Learning · Computer Science 2024-03-26 Taha-Hossein Hejazi , Zahra Ghadimkhani , Arezoo Borji

In the {\sc Course Allocation} problem, there are a set of students and a set of courses at a given university. University courses may have different numbers of credits, typically related to different numbers of learning hours, and there…

Data Structures and Algorithms · Computer Science 2026-01-27 José Rodríguez , David Manlove

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

Data Structures and Algorithms · Computer Science 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

This paper presents an approach to learn the local-search heuristics that iteratively improves the solution of Vehicle Routing Problem (VRP). A local-search heuristics is composed of a destroy operator that destructs a candidate solution,…

Neural and Evolutionary Computing · Computer Science 2020-02-21 Lei Gao , Mingxiang Chen , Qichang Chen , Ganzhong Luo , Nuoyi Zhu , Zhixin Liu

Being able to reason in an environment with a large number of discrete actions is essential to bringing reinforcement learning to a larger class of problems. Recommender systems, industrial plants and language models are only some of the…

The research area of real-time heuristics search has produced quite many algorithms. In the landscape of real-time heuristics search research, it is not rare to find that an algorithm X that appears to perform better than algorithm Y on a…

Artificial Intelligence · Computer Science 2018-05-23 Md Solimul Chowdhury , Victor Silva

We consider multi-dimensional assignment problems in a probabilistic setting. Our main results are: (i) A new efficient algorithm for the 3-dimensional planar problem, based on enumerating and selecting from a set of "alternating-path…

Discrete Mathematics · Computer Science 2010-04-27 Alan Frieze , Gregory Sorkin

A reciprocal recommendation problem is one where the goal of learning is not just to predict a user's preference towards a passive item (e.g., a book), but to recommend the targeted user on one side another user from the other side such…

Machine Learning · Computer Science 2018-06-05 Fabio Vitale , Nikos Parotsidis , Claudio Gentile