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We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

Hierarchical learning algorithms that gradually approximate a solution to a data-driven optimization problem are essential to decision-making systems, especially under limitations on time and computational resources. In this study, we…

Machine Learning · Computer Science 2023-03-22 Christos Mavridis , John Baras

The existing neural architecture search algorithms are mostly working on search spaces with short-distance connections. We argue that such designs, though safe and stable, obstacles the search algorithms from exploring more complicated…

Machine Learning · Computer Science 2021-12-07 Yunjie Tian , Lingxi Xie , Jiemin Fang , Jianbin Jiao , Qixiang Ye , Qi Tian

Equation-based modelling is a powerful approach to tame the complexity of large-scale simulation problems. Equation-based tools automatically translate models into imperative languages. When confronted with nowadays' problems, however, well…

The algebraic zigzag construction has recently been introduced as a combinatorial foundation for a higher dimensional notion of string diagram. For use in a proof assistant, a layout algorithm is required to determine the optimal rendering…

Category Theory · Mathematics 2024-02-21 Calin Tataru , Jamie Vicary

We proposed a probabilistic algorithm to solve the Multiple Sequence Alignment problem. The algorithm is a Simulated Annealing (SA) that exploits the representation of the Multiple Alignment between $D$ sequences as a directed polymer in…

Genomics · Quantitative Biology 2016-08-16 M. Hernández-Guía , R. Mulet , S. Rodríguez-Pérez

Graph matching is one of the most important problems in graph theory and combinatorial optimization, with many applications in various domains. Although meta-heuristic algorithms have had good performance on many NP-Hard and NP-Complete…

Neural and Evolutionary Computing · Computer Science 2019-04-01 Hashem Ezzati , Mahmood Amintoosi , Hashem Tabasi

Subspace clustering methods based on expressing each data point as a linear combination of all other points in a dataset are popular unsupervised learning techniques. However, existing methods incur high computational complexity on…

Machine Learning · Computer Science 2019-08-05 Farhad Pourkamali-Anaraki

Combinatorial Optimisation problems arise in several application domains and are often formulated in terms of graphs. Many of these problems are NP-hard, but exact solutions are not always needed. Several heuristics have been developed to…

Machine Learning · Computer Science 2022-05-23 David Ireland , Giovanni Montana

In this paper we introduce a new clustering technique called Regularity Clustering. This new technique is based on the practical variants of the two constructive versions of the Regularity Lemma, a very useful tool in graph theory. The…

Combinatorics · Mathematics 2012-10-01 Gábor N. Sárközy , Fei Song , Endre Szemerédi , Shubhendu Trivedi

We propose a variant of the Simulated Annealing method for optimization in the multivariate analysis of differentiable functions. The method uses global actualizations via the Hybrid Monte Carlo algorithm in their generalized version for…

Statistical Mechanics · Physics 2009-10-30 R. Salazar , R. Toral

This paper proposes a technique to help choose the best formal specification candidate among a set of alternatives. Given a set of specifications, our technique generates a suite of test cases that, once classified by the user as desirable…

Software Engineering · Computer Science 2025-11-25 Alcino Cunha , Nuno Macedo

There is a growing need to deploy machine learning for different tasks on a wide array of new hardware platforms. Such deployment scenarios require tackling multiple challenges, including identifying a model architecture that can achieve a…

Machine Learning · Computer Science 2022-08-26 Elias Jääsaari , Michelle Ma , Ameet Talwalkar , Tianqi Chen

Normally, program execution spends most of the time on loops. Automated test data generation devotes special attention to loops for better coverage. Automated test data generation for programs having loops with variable number of iteration…

Software Engineering · Computer Science 2010-11-03 Hitesh Tahbildar , Bichitra Kalita

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

We study the problem of set discovery where given a few example tuples of a desired set, we want to find the set in a collection of sets. A challenge is that the example tuples may not uniquely identify a set, and a large number of…

Databases · Computer Science 2022-10-05 Arif Hasnat , Davood Rafiei

As one of the most robust global optimization methods, simulated annealing has received considerable attention, with many variations that attempt to improve the cooling schedule. This paper introduces a variant of simulated annealing that…

Chemical Physics · Physics 2020-02-17 Mariia Karabin , Steven J. Stuart

Recent advances in specialized hardware for solving optimization problems such quantum computers, quantum annealers, and CMOS annealers give rise to new ways for solving real-word complex problems. However, given current and near-term…

Social and Information Networks · Computer Science 2021-09-08 Pouya Rezazadeh Kalehbasti , Hayato Ushijima-Mwesigwa , Avradip Mandal , Indradeep Ghosh

We present several results about position heaps, a relatively new alternative to suffix trees and suffix arrays. First, we show that, if we limit the maximum length of patterns to be sought, then we can also limit the height of the heap and…

Data Structures and Algorithms · Computer Science 2013-01-15 Travis Gagie , Wing-Kai Hon , Tsung-Han Ku

I propose a "quantum annealing" heuristic for the problem of combinatorial search among a frustrated set of states characterized by a cost function to be minimized. The algorithm is probabilistic, with postselection of the measurement…

Quantum Physics · Physics 2009-11-07 Carlo A. Trugenberger