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In this paper, we propose a fast method for exactly enumerating a very large number of all lower cost solutions for various combinatorial problems. Our method is based on backtracking for a given decision diagram which represents all the…

Data Structures and Algorithms · Computer Science 2022-04-29 Shin-ichi Minato , Mutsunori Banbara , Takashi Horiyama , Jun Kawahara , Ichigaku Takigawa , Yutaro Yamaguchi

We propose a recursive least-squares method with multiple forgetting schemes to track time-varying model parameters which change with different rates. Our approach hinges on the reformulation of the classic recursive least-squares with…

Optimization and Control · Mathematics 2015-03-26 Francesco Fraccaroli , Andrea Peruffo , Mattia Zorzi

Recursive coalgebras provide an elegant categorical tool for modelling recursive algorithms and analysing their termination and correctness. By considering coalgebras over categories of suitably indexed families, the correctness of the…

Programming Languages · Computer Science 2026-04-20 Cass Alexandru , Henning Urbat , Thorsten Wißmann

A new method to identify all sufficiently long repeating substrings in one or several symbol sequences is proposed. The method is based on a specific gauge applied to symbol sequences that guarantees identification of the repeating…

Genomics · Quantitative Biology 2016-04-07 Sergey Tsarev , Michael Sadovsky

We report on the implementation of an algorithm for computing the set of all regular triangulations of finitely many points in Euclidean space. This algorithm, which we call down-flip reverse search, can be restricted, e.g., to computing…

Combinatorics · Mathematics 2018-10-30 Charles Jordan , Michael Joswig , Lars Kastner

To avoid the exhaustive search over locations and scales, current state-of-the-art object detection systems usually involve a crucial component generating a batch of candidate object proposals from images. In this paper, we present a simple…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Tianshui Chen , Liang Lin , Xian Wu , Nong Xiao , Xiaonan Luo

Recombining trinomial trees are a workhorse for modeling discrete-event systems in option pricing, logistics, and feedback control. Because each node stores a state-dependent quantity, a depth-$D$ tree naively yields $\mathcal{O}(3^{D})$…

Data Structures and Algorithms · Computer Science 2025-10-06 Ethan Torres , Ramavarapu Sreenivas , Richard Sowers

The availability of data sets with large numbers of variables is rapidly increasing. The effective application of Bayesian variable selection methods for regression with these data sets has proved difficult since available Markov chain…

Computation · Statistics 2019-05-08 Jim Griffin , Krys Latuszynski , Mark Steel

Point containment queries on trimmed surfaces are fundamental to CAD modeling, solid geometry processing, and surface tessellation. Existing approaches such as ray casting and generalized winding numbers often face limitations in robustness…

Graphics · Computer Science 2025-10-30 Anchang Bao , Enya Shen , Jianmin Wang

Context: Detecting arrays are mathematical structures aimed at fault identification in combinatorial interaction testing. However, they cannot be directly applied to systems that have constraints among test parameters. Such constraints are…

Software Engineering · Computer Science 2021-10-14 Hao Jin , Ce Shi , Tatsuhiro Tsuchiya

Working with exhaustive search on large dataset is infeasible for several reasons. Recently, developed techniques that made pattern set mining feasible by a general solver with long execution time that supports heuristic search and are…

Artificial Intelligence · Computer Science 2015-07-21 Shanjida Khatun , Hasib Ul Alam , Swakkhar Shatabda

We introduce a new iterative method for computing solutions of elliptic equations with random rapidly oscillating coefficients. Similarly to a multigrid method, each step of the iteration involves different computations meant to address…

Numerical Analysis · Mathematics 2020-03-31 S. Armstrong , A. Hannukainen , T. Kuusi , J. -C. Mourrat

In this paper, a method for recursively computing approximate modal paths is developed. A recursive formulation of the modal path can be obtained either by backward or forward dynamic programming. By combining both methods, a ``two-filter''…

Methodology · Statistics 2025-12-22 Filip Tronarp

The usual methods for root finding of polynomials are based on the iteration of a numerical formula for improvement of successive estimations. The unpredictable nature of the iterations prevents to search roots inside a pre-specified region…

Numerical Analysis · Mathematics 2013-08-21 Juan Luis García Zapata , Juan Carlos Díaz Martín

This paper reports on a simple pure numerical method developed for computing Hansen coefficients by using recursive harmonic analysis technique. The precision criteria of the computations are very satisfactory and provide materials for…

Numerical Analysis · Mathematics 2010-06-29 Mohamed Adel Sharaf , Hadia Hassan Selim

A modified version of the Dijkstra algorithm using an inventive contraction hierarchy is proposed. The algorithm considers a directed acyclic graph with a conical or semi-circular structure for which a pair of edges is chosen iteratively…

Data Structures and Algorithms · Computer Science 2015-03-20 Ugochi A. Okengwu , Enoch O. Nwachukwu , Emmanuel N. Osegi

A technique using a systolic array structure is proposed for solving the common approximate substring (CAS) problem. This approach extends the technique introduced in earlier work from the computation of the edit-distance between two…

Data Structures and Algorithms · Computer Science 2010-06-08 Jacqueline E. Rice , Kenneth B. Kent

Focusing on identification, this paper develops a class of convex optimization-based criteria and correspondingly the recursive algorithms to estimate the parameter vector $\theta^{*}$ of a stochastic dynamic system. Not only do the…

Optimization and Control · Mathematics 2024-05-14 Mingxia Ding , Wenxiao Zhao , Tianshi Chen

In various areas of computer science, we deal with a set of constraints to be satisfied. If the constraints cannot be satisfied simultaneously, it is desirable to identify the core problems among them. Such cores are called minimal…

Logic in Computer Science · Computer Science 2018-05-09 Jaroslav Bendik , Ivana Cerna , Nikola Benes

We propose a new algorithm to the problem of polygonal curve approximation based on a multiresolution approach. This algorithm is suboptimal but still maintains some optimality between successive levels of resolution using dynamic…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-François Marteau , Gilbas Ménier