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In this paper, we present a method using AI techniques to solve a case of pure mathematics applications for finding narrow admissible tuples. The original problem is formulated into a combinatorial optimization problem. In particular, we…

Artificial Intelligence · Computer Science 2018-12-27 Xiao-Feng Xie , Zun-Jing Wang

Local explanation methods highlight the input tokens that have a considerable impact on the outcome of classifying the document at hand. For example, the Anchor algorithm applies a statistical analysis of the sensitivity of the classifier…

Machine Learning · Computer Science 2024-01-15 Alon Mor , Yonatan Belinkov , Benny Kimelfeld

Local search algorithms use the neighborhood relations among search states and often perform well for a variety of NP-hard combinatorial search problems. This paper shows how quantum computers can also use these neighborhood relations. An…

Quantum Physics · Physics 2007-05-23 Tad Hogg , Mehmet Yanik

Neural networks are a powerful class of non-linear functions. However, their black-box nature makes it difficult to explain their behaviour and certify their safety. Abstraction techniques address this challenge by transforming the neural…

Machine Learning · Computer Science 2023-04-03 Edoardo Manino , Iury Bessa , Lucas Cordeiro

In this paper, we investigate the hybridization of constraint programming and local search techniques within a large neighbourhood search scheme for solving highly constrained nurse rostering problems. As identified by the research, a…

Artificial Intelligence · Computer Science 2009-10-08 Fang He , Rong Qu

The design of neural network architectures is frequently either based on human expertise using trial/error and empirical feedback or tackled via large scale reinforcement learning strategies performed over distinct discrete architecture…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Yunyang Xiong , Ronak Mehta , Vikas Singh

In this paper the approach to solving several combinatorial optimization problems using the local search and the genetic algorithm techniques is proposed. Initially this approach was developed in purpose to overcome some difficulties…

Neural and Evolutionary Computing · Computer Science 2010-04-30 Anton Bondarenko

Simplifying expressions is important to make numerical integration of large expressions from High Energy Physics tractable. To this end, Horner's method can be used. Finding suitable Horner schemes is assumed to be hard, due to the lack of…

Artificial Intelligence · Computer Science 2014-09-19 Ben Ruijl , Aske Plaat , Jos Vermaseren , Jaap van den Herik

Discovering the low-energy conformations of a molecule is of great interest to computational chemists, with applications in {\em in silico} materials design and drug discovery. In this paper, we propose a variable neighbourhood search…

Quantum Physics · Physics 2019-06-25 D. J. J. Marchand , M. Noori , A. Roberts , G. Rosenberg , B. Woods , U. Yildiz , M. Coons , D. Devore , P. Margl

Integrating combinatorial optimization layers into neural networks has recently attracted significant research interest. However, many existing approaches lack theoretical guarantees or fail to perform adequately when relying on inexact…

Machine Learning · Computer Science 2025-09-30 Germain Vivier-Ardisson , Mathieu Blondel , Axel Parmentier

Deep neural networks are a promising solution for applications that solve problems based on learning data sets. DNN accelerators solve the processing bottleneck as a domain-specific processor. Like other hardware solutions, there must be…

Hardware Architecture · Computer Science 2022-11-08 Midia Reshadi , David Gregg

Over the past few years, various word-level textual attack approaches have been proposed to reveal the vulnerability of deep neural networks used in natural language processing. Typically, these approaches involve an important optimization…

Computation and Language · Computer Science 2021-11-23 Shengcai Liu , Ning Lu , Cheng Chen , Ke Tang

Approximate Nearest Neighbour (ANN) search is a fundamental problem in information retrieval, underpinning large-scale applications in computer vision, natural language processing, and cross-modal search. Hashing-based methods provide an…

Information Retrieval · Computer Science 2025-10-07 Sean Moran

Adaptive Large Neighborhood Search (ALNS) is a prominent metaheuristic and a widely adopted approach for production and logistics optimization. However, it has long relied on hand-crafted components built on expert experience, which makes…

Neural and Evolutionary Computing · Computer Science 2026-05-20 Shaohua Yu , Tianyu Chen , Linyan Liu , Jakob Puchinger

This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for various combinatorial optimization problems. To analyze local…

Data Structures and Algorithms · Computer Science 2020-06-03 Kaito Fujii

ion is one of the most promising approaches to improve the performance of problem solvers. In several domains abstraction by dropping sentences of a domain description -- as used in most hierarchical planners -- has proven useful. In this…

Artificial Intelligence · Computer Science 2009-09-25 R. Bergmann , W. Wilke

Recent research has shown that a single arbitrarily efficient solver can be significantly outperformed by a portfolio of possibly slower on-average solvers. The solver selection is usually done by means of (un)supervised learning techniques…

Artificial Intelligence · Computer Science 2014-04-03 Roberto Amadini , Maurizio Gabbrielli , Jacopo Mauro

This paper presents a framework to solve constrained optimization problems in an accelerated manner based on High-Order Tuners (HT). Our approach is based on reformulating the original constrained problem as the unconstrained optimization…

Optimization and Control · Mathematics 2022-05-27 Anjali Parashar , Priyank Srivastava , Anuradha M. Annaswamy

Large Language Models (LLMs) struggle with complex reasoning due to limited diversity and inefficient search. We propose Soft Reasoning, an embedding-based search framework that optimises the embedding of the first token to guide…

Computation and Language · Computer Science 2025-09-16 Qinglin Zhu , Runcong Zhao , Hanqi Yan , Yulan He , Yudong Chen , Lin Gui

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

Data Structures and Algorithms · Computer Science 2019-06-25 Tobias Christiani