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The artificial neural network shows powerful ability of inference, but it is still criticized for lack of interpretability and prerequisite needs of big dataset. This paper proposes the Rule-embedded Neural Network (ReNN) to overcome the…

Machine Learning · Computer Science 2018-09-03 Hu Wang

Approximate Nearest Neighbor Search (ANNS) is a fundamental problem in many areas of machine learning and data mining. During the past decade, numerous hashing algorithms are proposed to solve this problem. Every proposed algorithm claims…

Computer Vision and Pattern Recognition · Computer Science 2019-06-20 Deng Cai

In this paper, we investigate a neural network-based learning approach towards solving an integer-constrained programming problem using very limited training. To be specific, we introduce a symmetric and decomposed neural network structure,…

Machine Learning · Computer Science 2020-11-30 Zhou Zhou , Shashank Jere , Lizhong Zheng , Lingjia Liu

Modern retrieval systems are often driven by an underlying machine learning model. The goal of such systems is to identify and possibly rank the few most relevant items for a given query or context. Thus, such systems are typically…

Machine Learning · Statistics 2017-03-02 Elad ET. Eban , Mariano Schain , Alan Mackey , Ariel Gordon , Rif A. Saurous , Gal Elidan

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Recent years have witnessed the development of a large body of algorithms for community detection in complex networks. Most of them are based upon the optimization of objective functions, among which modularity is the most common, though a…

Social and Information Networks · Computer Science 2014-10-02 Stanislav Sobolevsky , Riccardo Campari , Alexander Belyi , Carlo Ratti

We present a new hybrid, local search algorithm for quantum approximate optimization of constrained combinatorial optimization problems. We focus on the Maximum Independent Set problem and demonstrate the ability of quantum local search to…

Quantum Physics · Physics 2022-08-24 Teague Tomesh , Zain H. Saleem , Martin Suchara

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

We present an Integer Linear Programming based approach to finding the optimal fusion strategy for combinator-based parallel programs. While combinator-based languages or libraries provide a convenient interface for programming parallel…

Programming Languages · Computer Science 2024-07-19 David van Balen , Gabriele Keller , Ivo Gabede Wolff , Trevor L. McDonell

Integer linear programming (ILP) is an elegant approach to solve linear optimization problems, naturally described using integer decision variables. Within the context of physics-inspired machine learning applied to chemistry, we…

Simulated Annealing using Metropolis steps at decreasing temperatures is widely used to solve complex combinatorial optimization problems. In order to improve its efficiency, we can use the Rejection-Free version of the Metropolis…

Optimization and Control · Mathematics 2022-10-10 Sigeng Chen , Jeffrey S. Rosenthal , Aki Dote , Hirotaka Tamura , Ali Sheikholeslami

The Algorithm Selection Problem is concerned with selecting the best algorithm to solve a given problem on a case-by-case basis. It has become especially relevant in the last decade, as researchers are increasingly investigating how to…

Artificial Intelligence · Computer Science 2012-10-31 Lars Kotthoff

Combinatorial optimization (CO) problems, central to decision-making scenarios like logistics and manufacturing, are traditionally solved using problem-specific algorithms requiring significant domain expertise. While large language models…

Artificial Intelligence · Computer Science 2025-09-24 Xia Jiang , Yaoxin Wu , Minshuo Li , Zhiguang Cao , Yingqian Zhang

Combinatorial optimization (CO) problems, central to operation research and theoretical computer science, present significant computational challenges due to their NP-hard nature. While large language models (LLMs) have emerged as promising…

Machine Learning · Computer Science 2025-06-16 Xijun Li , Jiexiang Yang , Jinghao Wang , Bo Peng , Jianguo Yao , Haibing Guan

Combinatorial optimization lies at the core of many real-world problems. Especially since the rise of graph neural networks (GNNs), the deep learning community has been developing solvers that derive solutions to NP-hard problems by…

Machine Learning · Computer Science 2022-01-26 Maximilian Böther , Otto Kißig , Martin Taraz , Sarel Cohen , Karen Seidel , Tobias Friedrich

The explosive growth in big data has attracted much attention in designing efficient indexing and search methods recently. In many critical applications such as large-scale search and pattern matching, finding the nearest neighbors to a…

Machine Learning · Computer Science 2015-09-21 Jun Wang , Wei Liu , Sanjiv Kumar , Shih-Fu Chang

This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear programming to solving linear programs of…

Optimization and Control · Mathematics 2015-07-31 Richard Bödi , Katrin Herr , Michael Joswig

We present a novel view that unifies two frameworks that aim to solve sequential prediction problems: learning to search (L2S) and recurrent neural networks (RNN). We point out equivalences between elements of the two frameworks. By…

Computation and Language · Computer Science 2016-07-19 Khanh Nguyen

We study the general integer programming problem where the number of variables $n$ is a variable part of the input. We consider two natural parameters of the constraint matrix $A$: its numeric measure $a$ and its sparsity measure $d$. We…

Optimization and Control · Mathematics 2022-08-01 Friedrich Eisenbrand , Christoph Hunkenschröder , Kim-Manuel Klein , Martin Koutecký , Asaf Levin , Shmuel Onn

Efficient branching policies are essential for accelerating Mixed Integer Linear Programming (MILP) solvers. Their design has long relied on hand-crafted heuristics, and now machine learning has emerged as a promising paradigm to automate…

Artificial Intelligence · Computer Science 2026-05-12 Zhinan Hou , Xingchen Li , Yankai Zhang , Tianxun Li , Keyou You