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This paper provides a mixture modeling framework using the bivariate generalized exponential distribution. We study different properties of this mixture distribution. Hierarchical EM algorithm is developed for finding the estimates of the…

Computation · Statistics 2018-04-03 Arabin Kumar Dey , Debasis Kundu , Tumati Kiran Kumar

Collaborative filtering is amongst the most preferred techniques when implementing recommender systems. Recently, great interest has turned towards parallel and distributed implementations of collaborative filtering algorithms. This work is…

Information Retrieval · Computer Science 2014-09-10 Efthalia Karydi , Konstantinos G. Margaritis

A family of original formulae for computing number PI and its proof are presented. An algorithm is proposed to validate the results of this new algorithm.

General Mathematics · Mathematics 2021-04-01 Fernando Alonso Zotes

In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoretic techniques, we provide $q$-analogues involving the…

Number Theory · Mathematics 2016-06-07 Mohamed El Bachraoui

Hashing algorithm of dynamical set of distances is described. Proposed hashing function is residual. Data structure which implementation accelerates computations is presented

Data Structures and Algorithms · Computer Science 2019-01-30 I. A. Junussov

SIS problem has numerous applications in cryptography. Known algorithms for solving that problem are exponential in complexity. A new algorithm is suggested in this note, its complexity is sub-exponential for a range of parameters.

Cryptography and Security · Computer Science 2020-08-18 Igor Semaev

The double-direction orthogonalization algorithm is applied to construct sequences of polynomials, which are orthogonal over the interval [0,1]with the weighting function 1. Functional and recurrent relations are derived for the sequences…

Numerical Analysis · Mathematics 2025-10-20 Vladimir Chelyshkov

In this note, a criterion for a class of binomials to be permutation polynomials is proposed. As a consequence, many classes of binomial permutation polynomials and monomial complete permutation polynomials are obtained. The exponents in…

Number Theory · Mathematics 2013-10-02 Ziran Tu , Xiangyong Zeng , Lei Hu , Chunlei Li

In this paper, we give a polynomial-time algorithm for deciding whether an input bipartite graph admits a 2-layer fan-planar drawing, resolving an open problem posed in several papers since 2015.

Computational Geometry · Computer Science 2025-08-26 Yasuaki Kobayashi , Yuto Okada

Multiagent planning and coordination problems are common and known to be computationally hard. We show that a wide range of two-agent problems can be formulated as bilinear programs. We present a successive approximation algorithm that…

Artificial Intelligence · Computer Science 2014-01-16 Marek Petrik , Shlomo Zilberstein

We present methods for obtaining new solutions to the bispectral problem. We achieve this by giving its abstract algebraic version suitable for generalizations. All methods are illustrated by new classes of bispectral operators.

q-alg · Mathematics 2009-10-30 B. Bakalov , E. Horozov , M. Yakimov

Bayesian probabilistic numerical methods are a set of tools providing posterior distributions on the output of numerical methods. The use of these methods is usually motivated by the fact that they can represent our uncertainty due to…

Computation · Statistics 2018-08-01 Xiaoyue Xi , François-Xavier Briol , Mark Girolami

We propose a constructive proof for the Ambrosetti-Rabinowitz Mountain Pass Theorem providing an algorithm, based on a bisection method, for its implementation. The efficiency of our algorithm, particularly suitable for problems in high…

Classical Analysis and ODEs · Mathematics 2007-05-23 Vivina Barutello , Susanna Terracini

A new variant of bit interleaved coded modulation (BICM) is proposed. In the new scheme, called Parallel BICM, L identical binary codes are used in parallel using a mapper, a newly proposed finite-length interleaver and a binary dither…

Information Theory · Computer Science 2010-08-18 Amir Ingber , Meir Feder

This paper proposes a new method for solving Bayesian decision problems. The method consists of representing a Bayesian decision problem as a valuation-based system and applying a fusion algorithm for solving it. The fusion algorithm is a…

Artificial Intelligence · Computer Science 2013-03-26 Prakash P. Shenoy

An algorithm is discussed for converting a class of recursive processes to a parallel system. It is argued that this algorithm can be superior to certain methods currently found in the literature for an important subset of problems. The…

Computational Physics · Physics 2009-11-10 W. R. Gibbs

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

The survey presents the well-known Warshall's algorithm, a generalization and some interesting applications of this.

Discrete Mathematics · Computer Science 2019-10-29 Zoltán Kása

A random number of items each independently marked with one of a collection of colours gives rise to the multinomial marking, which generalises binomial thinning. A multivariate version, where previously marked items are then re-marked, has…

Probability · Mathematics 2025-11-19 Matthew Aldridge

We present a computer algorithm to explicitly compute the BGG resolution and its cohomology. We give several applications, in particular computation of various sheaf cohomology groups on flag varieties. An implementation of the algorithm is…

Representation Theory · Mathematics 2021-04-13 Nicolas Hemelsoet , Rik Voorhaar