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Heuristic Rating Estimation (HRE) is a newly proposed method supporting decisions analysis based on the use of pairwise comparisons. It allows that the ranking values of some alternatives (herein referred to as concepts) are initially…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski , Katarzyna Grobler-Dębska , Jarosław Wąs

Metaheuristic algorithms are methods devised to efficiently solve computationally challenging optimization problems. Researchers have taken inspiration from various natural and physical processes alike to formulate meta-heuristics that have…

Artificial Intelligence · Computer Science 2022-02-01 Soumitri Chattopadhyay , Aritra Marik , Rishav Pramanik

We describe an exact algorithm for finding the best 2-OPT move which, experimentally, was observed to be much faster than the standard quadratic approach. To analyze its average-case complexity, we introduce a family of heuristic procedures…

Data Structures and Algorithms · Computer Science 2024-04-01 Giuseppe Lancia , Paolo Vidoni

Algorithmic statistics considers the following problem: given a binary string $x$ (e.g., some experimental data), find a "good" explanation of this data. It uses algorithmic information theory to define formally what is a good explanation.…

Machine Learning · Computer Science 2015-09-21 Alexey Milovanov

Stratified digraphs are popular models for feedforward neural networks. However, computation of their path homologies has been limited to low dimensions due to high computational complexity. A recursive algorithm is proposed to compute…

Computational Geometry · Computer Science 2024-12-12 Zhengtong Zhu , Zhiyi Chi

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be very efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-03 Nicolas A. Barriga , Mauricio Araya-López , Mauricio Solar

By Emerging huge databases and the need to efficient learning algorithms on these datasets, new problems have appeared and some methods have been proposed to solve these problems by selecting efficient features. Feature selection is a…

Computer Vision and Pattern Recognition · Computer Science 2016-01-21 Mitra Montazeri , Mahdieh Soleymani Baghshah , Aliakbar Niknafs

Hough transform (HT) has been the most common method for circle detection exhibiting robustness but adversely demanding a considerable computational load and large storage. Alternative approaches include heuristic methods that employ…

Computer Vision and Pattern Recognition · Computer Science 2014-05-23 Erik Cuevas , Fernando Wario , Valentin Osuna , Daniel Zaldivar , Marco Perez

Iterative rounding has enjoyed tremendous success in elegantly resolving open questions regarding the approximability of problems dominated by covering constraints. Although iterative rounding methods have been applied to packing problems,…

Data Structures and Algorithms · Computer Science 2016-04-04 Ojas Parekh

We demonstrate how to learn efficient heuristics for automated reasoning algorithms for quantified Boolean formulas through deep reinforcement learning. We focus on a backtracking search algorithm, which can already solve formulas of…

Logic in Computer Science · Computer Science 2019-11-01 Gil Lederman , Markus N. Rabe , Edward A. Lee , Sanjit A. Seshia

Modern 3D printing technologies and the upcoming mass-customization paradigm call for efficient methods to produce and distribute arbitrarily-shaped 3D objects. This paper introduces an original algorithm to split a 3D model in parts that…

Graphics · Computer Science 2021-04-13 Marco Attene

Matrix completion aims to recover an unknown low-rank matrix from a small subset of its entries. In many applications, the rank of the unknown target matrix is known in advance. In this paper, first we revisit a recently proposed rank-based…

Optimization and Control · Mathematics 2024-06-11 Tacildo de Souza Araújo , Douglas S. Gonçalves , Cristiano Torezzan

In multiprocessor systems, one of the main factors of systems' performance is task scheduling. The well the task be distributed among the processors the well be the performance. Again finding the optimal solution of scheduling the tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-10 Probir Roy , Md. Mejbah Ul Alam , Nishita Das

Hierarchical clustering (HC) algorithms are generally limited to small data instances due to their runtime costs. Here we mitigate this shortcoming and explore fast HC algorithms based on random projections for single (SLC) and average…

Information Retrieval · Computer Science 2014-01-24 Johannes Schneider , Michail Vlachos

We introduce the notion of a reproducible algorithm in the context of learning. A reproducible learning algorithm is resilient to variations in its samples -- with high probability, it returns the exact same output when run on two samples…

Machine Learning · Computer Science 2023-04-17 Russell Impagliazzo , Rex Lei , Toniann Pitassi , Jessica Sorrell

The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on $n$ vertices and proceed to remove the edges of triangles one at a time, where each triangle removed…

Combinatorics · Mathematics 2010-04-15 Tom Bohman , Alan Frieze , Eyal Lubetzky

In this paper we tackle the Team Orienteering Problem with Service Times, Mandatory Nodes and Incompatibilities, introduced in~\cite{Guastalla2024} and arising from two real-world healthcare applications. We propose two heuristic algorithms…

Optimization and Control · Mathematics 2025-07-09 Alberto Guastalla , Roberto Aringhieri , Pierre Hosteins

Inpainting is the technique of reconstructing unknown or damaged portions of an image in a visually plausible way. Inpainting algorithm automatically fills the damaged region in an image using the information available in undamaged region.…

Computer Vision and Pattern Recognition · Computer Science 2012-09-14 S. Padmavathi , B. Priyalakshmi. Dr. K. P. Soman

Tomographic reconstruction of a binary image from few projections is considered. A novel {\em heuristic} algorithm is proposed, the central element of which is a nonlinear transformation $\psi(p)=\log(p/(1-p))$ of the probability $p$ that a…

Classical Physics · Physics 2013-09-05 Stephane Roux , Hugo Leclerc , François Hild

We present an algorithmic method for the calculation of the degrees of the iterates of birational mappings, based on Halburd's method for obtaining the degrees from the singularity structure of the mapping. The method uses only integer…

Exactly Solvable and Integrable Systems · Physics 2025-01-13 Basil Grammaticos , Alfred Ramani , Adrian Stefan Carstea , Ralph Willox