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Selection HHs are randomised search methodologies which choose and execute heuristics during the optimisation process from a set of low-level heuristics. A machine learning mechanism is generally used to decide which low-level heuristic…

Neural and Evolutionary Computing · Computer Science 2019-05-16 Andrei Lissovoi , Pietro S. Oliveto , John Alasdair Warwicker

What is the effectiveness of local search algorithms for geometric problems in the plane? We prove that local search with neighborhoods of magnitude $1/\epsilon^c$ is an approximation scheme for the following problems in the Euclidian…

Computational Geometry · Computer Science 2015-09-10 Vincent Cohen-Addad , Claire Mathieu

The suboptimal physical design of the integrated circuits may not only increase the manufacturing costs due to the larger size of the chip but can also impact its performance by placing interconnected rectangular devices too far from each…

Other Computer Science · Computer Science 2024-10-23 Josef Grus , Zdeněk Hanzálek

Locality Sensitive Hashing (LSH) is an effective method to index a set of points such that we can efficiently find the nearest neighbors of a query point. We extend this method to our novel Set-query LSH (SLSH), such that it can find the…

Data Structures and Algorithms · Computer Science 2020-04-23 Haim Kaplan , Jay Tenenbaum

At the Large Hadron Collider, the vast amount of data from experiments demands not only sophisticated algorithms but also substantial computational power for efficient processing. This paper introduces hardware acceleration as an essential…

High Energy Physics - Experiment · Physics 2025-01-15 Pelayo Leguina López , Santiago Folgueras

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

Optimization and Control · Mathematics 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

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

Searching for objects in indoor organized environments such as homes or offices is part of our everyday activities. When looking for a target object, we jointly reason about the rooms and containers the object is likely to be in; the same…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Andrey Kurenkov , Roberto Martín-Martín , Jeff Ichnowski , Ken Goldberg , Silvio Savarese

Large Neighborhood Search (LNS) is a combinatorial optimization heuristic that starts with an assignment of values for the variables to be optimized, and iteratively improves it by searching a large neighborhood around the current…

Optimization and Control · Mathematics 2022-05-23 Nicolas Sonnerat , Pengming Wang , Ira Ktena , Sergey Bartunov , Vinod Nair

We frame code generation as a black-box optimization problem within the code space and demonstrate how optimization-inspired techniques can enhance inference scaling. Based on this perspective, we propose SCATTERED FOREST SEARCH (SFS), a…

Software Engineering · Computer Science 2025-02-26 Jonathan Light , Yue Wu , Yiyou Sun , Wenchao Yu , Yanchi liu , Xujiang Zhao , Ziniu Hu , Haifeng Chen , Wei Cheng

We introduce a method called multi-scale local shape analysis, or MLSA, for extracting features that describe the local structure of points within a dataset. The method uses both geometric and topological features at multiple levels of…

Computational Geometry · Computer Science 2014-10-14 Paul Bendich , Ellen Gasparovic , John Harer , Rauf Izmailov , Linda Ness

We show that approximate similarity (near neighbour) search can be solved in high dimensions with performance matching state of the art (data independent) Locality Sensitive Hashing, but with a guarantee of no false negatives. Specifically,…

Data Structures and Algorithms · Computer Science 2018-06-28 Thomas Dybdahl Ahle

We investigate the problem of finding reverse nearest neighbors efficiently. Although provably good solutions exist for this problem in low or fixed dimensions, to this date the methods proposed in high dimensions are mostly heuristic. We…

Computational Geometry · Computer Science 2010-11-24 David Arthur , Steve Y. Oudot

Locality Sensitive Hashing (LSH) is an effective method of indexing a set of items to support efficient nearest neighbors queries in high-dimensional spaces. The basic idea of LSH is that similar items should produce hash collisions with…

Data Structures and Algorithms · Computer Science 2021-02-22 Haim Kaplan , Jay Tenenbaum

We present a simple but powerful reinterpretation of kernelized locality-sensitive hashing (KLSH), a general and popular method developed in the vision community for performing approximate nearest-neighbor searches in an arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2014-11-18 Ke Jiang , Qichao Que , Brian Kulis

Scalar field comparison is a fundamental task in scientific visualization. In topological data analysis, we compare topological descriptors of scalar fields -- such as persistence diagrams and merge trees -- because they provide succinct…

Computational Geometry · Computer Science 2024-09-18 Weiran Lyu , Raghavendra Sridharamurthy , Jeff M. Phillips , Bei Wang

Learning a Bayesian network structure from data is an NP-hard problem and thus exact algorithms are feasible only for small data sets. Therefore, network structures for larger networks are usually learned with various heuristics. Another…

Machine Learning · Computer Science 2012-10-19 Teppo Niinimaki , Pekka Parviainen

Recently, supervised hashing methods have attracted much attention since they can optimize retrieval speed and storage cost while preserving semantic information. Because hashing codes learning is NP-hard, many methods resort to some form…

Machine Learning · Computer Science 2017-12-05 Zihao Hu , Xiyi Luo , Hongtao Lu , Yong Yu

This paper introduces a local search method for improving an existing program with respect to a measurable objective. Program Optimization with Locally Improving Search (POLIS) exploits the structure of a program, defined by its lines.…

Software Engineering · Computer Science 2023-07-13 Fatemeh Abdollahi , Saqib Ameen , Matthew E. Taylor , Levi H. S. Lelis

In this work, we study the task of scheduling jobs on a single machine with sequence dependent family setup times under the goal of minimizing the makespan, that is, the completion time of the last job in the schedule. This notoriously…

Data Structures and Algorithms · Computer Science 2025-03-25 Kaja Balzereit , Niels Grüttemeier , Nils Morawietz , Dennis Reinhardt , Stefan Windmann , Petra Wolf