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We explore an algorithm for approximating roots of integers, discuss its motivation and derivation, and analyze its convergence rates with varying parameters and inputs. We also perform comparisons with established methods for approximating…

Numerical Analysis · Mathematics 2021-01-11 William Gerst

In this paper, we present experimental algorithms for solving the dualization problem. We present the results of extensive experimentation comparing the execution time of various algorithms.

Motivated by efforts to incorporate sheaves into networking, we seek to reinterpret pathfinding algorithms in terms of cellular sheaves, using Dijkstra's algorithm as an example. We construct sheaves on a graph with distinguished source and…

Networking and Internet Architecture · Computer Science 2020-12-14 Michael Moy , Robert Cardona , Robert Green , Jacob Cleveland , Alan Hylton , Robert Short

A random search algorithm intended to solve discrete optimization problems is considered. We outline the main components of the algorithm, and then describe it in more detail. We show how the algorithm can be implemented on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-13 Nikolai K. Krivulin , Dennis Guster , Charles Hall

With the use of ontologies in several domains such as semantic web, information retrieval, artificial intelligence, the concept of similarity measuring has become a very important domain of research. Therefore, in the current paper, we…

Databases · Computer Science 2017-09-27 Noreddine Gherabi , Abdelhadi Daoui , Abderrahim Marzouk

In a previous paper (q-alg/9501022) we suggested some algorithms that could be useful in solving the problem of knot classification. Here we continue this discussion by answering questions raised in that paper and by commenting on practical…

q-alg · Mathematics 2008-02-03 Charilaos Aneziris

A Lagrange Theorem in dimension 2 is proved, for a particular two-dimensional algorithm, with a very natural geometrical definition. Dirichlet-type properties for the convergence of the algorithm are also proved. These properties procced…

Number Theory · Mathematics 2015-02-17 Christian Drouin

We present a novel algorithm for dynamic routing with dedicated path protection which, as the presented simulation results suggest, can be efficient and exact. We present the algorithm in the setting of optical networks, but it should be…

Networking and Internet Architecture · Computer Science 2021-09-22 Ireneusz Szcześniak , Ireneusz Olszewski , Bożena Woźna-Szcześniak

Parameter choosing in classical edge detection algorithms can be a costly and complex task. Choosing the correct parameters can improve considerably the resulting edge-map. In this paper we present a version of Edge Drawing algorithm in…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Ciprian Orhei , Muguras Mocofan , Silviu Vert , Radu Vasiu

A method is presented for using the consistent part of inconsistent axiomatic systems.

General Mathematics · Mathematics 2009-02-09 Elemer E Rosinger

The odds theorem and the corresponding solution algorithm (odds algorithm) are tools to solve a wide range of optimal stopping problems. Its generality and tractability have caught much attention. (Google for instance "Bruss odds" to obtain…

Probability · Mathematics 2012-12-07 Rémi Dendievel

The purpose of this paper is to explore the question "to what extent could we produce formal, machine-verifiable, proofs in real algebraic geometry?" The question has been asked before but as yet the leading algorithms for answering such…

Symbolic Computation · Computer Science 2021-06-17 Erika {Á}brahám , James Davenport , Matthew England , Gereon Kremer , Zak Tonks

We present here algorithms for efficient computation of linear algebra problems over finite fields.

Symbolic Computation · Computer Science 2013-05-21 Jean-Guillaume Dumas , Clément Pernet

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with…

Logic in Computer Science · Computer Science 2012-04-16 Javier Esparza , Andreas Gaiser , Stefan Kiefer

Can deep reinforcement learning algorithms be exploited as solvers for optimal trading strategies? The aim of this work is to test reinforcement learning algorithms on conceptually simple, but mathematically non-trivial, trading…

Mathematical Finance · Quantitative Finance 2020-04-10 Ayman Chaouki , Stephen Hardiman , Christian Schmidt , Emmanuel Sérié , Joachim de Lataillade

We report about significant enhancements of the complex algebraic geometry theorem proving subsystem in GeoGebra for automated proofs in Euclidean geometry, concerning the extension of numerous GeoGebra tools with proof capabilities. As a…

Artificial Intelligence · Computer Science 2016-03-04 Zoltán Kovács , Csilla Sólyom-Gecse

The aim of this paper is to discuss some applications of general topology in computer algorithms including modeling and simulation, and also in computer graphics and image processing. While the progress in these areas heavily depends on…

Numerical Analysis · Mathematics 2012-01-23 Rastislav Telgarsky

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

Number Theory · Mathematics 2017-04-14 Thomas Baruchel

In this article, we discuss the optimal allocation problem in an experiment when a regression model is used for statistical analysis. Monotonic convergence for a general class of multiplicative algorithms for $D$-optimality has been…

Computation · Statistics 2013-10-28 Wei Gao , Ping Shing Chan , Hon Keung Tony Ng , Xiaolei Lu

Holographic algorithms are a recent breakthrough in computer science and has found applications in information theory. This paper provides a proof to the central component of holographic algorithms, namely, the Holant theorem. Compared with…

Information Theory · Computer Science 2010-05-11 Ali Al-Bashabsheh , Yongyi Mao , Abbas Yongacoglu
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