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The SOM algorithm is very astonishing. On the one hand, it is very simple to write down and to simulate, its practical properties are clear and easy to observe. But, on the other hand, its theoretical properties still remain without proof…

统计理论 · 数学 2007-05-23 Marie Cottrell , Jean-Claude Fort , Gilles Pagès

In this paper we propose two new algorithms based on biclustering analysis, which can be used at the basis of a recommender system for educational orientation of Russian School graduates. The first algorithm was designed to help students…

人工智能 · 计算机科学 2013-12-03 Dmitry I. Ignatov , Jonas Poelmans , Vasily Zaharchuk

We present an algorithm for computing a holonomic system for a definite integral of a holonomic function over a domain defined by polynomial inequalities. If the integrand satisfies a holonomic difference-differential system including…

符号计算 · 计算机科学 2016-04-05 Toshinori Oaku

An algorithm for the estimation of multiple targets from partial and corrupted observations is introduced based on the concept of partially-distinguishable multi-target system. It combines the advantages of engineering solutions like MHT…

概率论 · 数学 2017-12-05 J. Houssineau , D. E. Clark

An approach is proposed which, given a family of linearly independent functions, constructs the appropriate biorthogonal set so as to represent the orthogonal projector operator onto the corresponding subspace. The procedure evolves…

数学物理 · 物理学 2007-05-23 laura Rebollo-Neira

A new method for the experimental study of bin-bin correlations is proposed. It is shown that this method is able to reveal important additional information on bin-bin correlations, beyond that of factorial-correlator measurements.

高能物理 - 唯象学 · 物理学 2007-05-23 S. V. Chekanov , W. Kittel , V. I. Kuvshinov

We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

密码学与安全 · 计算机科学 2007-05-23 Ilia Toli

The Bitcoin Lightning Network is a Layer 2 payment protocol that addresses Bitcoin's scalability by facilitating quick and cost effective transactions through payment channels. This research explores the feasibility of using machine…

机器学习 · 计算机科学 2025-10-24 Vincent Davis , Emanuele Rossi , Vikash Singh

The article contains some important classes of multisets. Combinatorial proofs of problems on the number of m-submultisets and m-permutations of multiset elements are considered and effective algorithms for their calculation are given. In…

综合数学 · 数学 2020-09-04 Oleksandr Makhnei , Roman Zatorskii

A polynomial algorithm for graphs' isomorphism testing is constructed in assumption that there exists a corresponding polynomial algorithm for graphs with trivial automorphism group.

组合数学 · 数学 2007-05-23 Aleksandr Golubchik

Recently, biclustering is one of the hot topics in bioinformatics and takes the attention of authors from several different disciplines. Hence, many different methodologies from a variety of disciplines are proposed as a solution to the…

人机交互 · 计算机科学 2021-11-26 Melih Sozdinler

In this paper we introduce a novel notion of probabilistic bisimulation for quantum processes and prove that it is congruent with respect to various process algebra combinators including parallel composition even when both classical and…

量子物理 · 物理学 2013-11-15 Yuan Feng , Runyao Duan , Mingsheng Ying

This paper presents a multinomial method for option pricing when the underlying asset follows an exponential Variance Gamma process. The continuous time Variance Gamma process is approximated by a discrete time Markov chain with the same…

证券定价 · 定量金融 2021-06-18 Nicola Cantarutti , João Guerra

In this paper, we propose a new and simple approach to the approximation algorithms that are modified and improved from our published results. The computational and graphical examples are presented with the aid of Maple procedures.

数值分析 · 数学 2025-06-24 Quan Le Phuong

The present paper makes a study on Partition sort algorithm for negative binomial inputs. Comparing the results with those for binomial inputs in our previous work, we find that this algorithm is sensitive to parameters of both…

数据结构与算法 · 计算机科学 2012-04-24 Niraj Kumar Singh , Mita Pal , Soubhik Chakraborty

The method is introduced for fast data processing by reducing the probability amplitudes of undesirable elements. The algorithm has a mathematical description and circuit implementation on a quantum processor. The idea is to make a quick…

量子物理 · 物理学 2025-04-24 Karina Zakharova , Artem Chernikov , Sergey Sysoev

The beamforming techniques have been recently studied as possible enablers for underlay spectrum sharing. The existing beamforming techniques have several common limitations: they are usually system model specific, cannot operate with…

In this paper, we propose a hybrid decision algorithm for the selection of the access in multi-operator networks environment, where competing operators share their radio access networks to meet traffic and data rate demands. The proposed…

网络与互联网体系结构 · 计算机科学 2014-08-22 Soha Farhat , Bernard Cousin , Samer Lahoud , Samhat Abed Ellatif

We pose the question of what is the best generalization of the factorial and the binomial coefficient. We give several examples, derive their combinatorial properties, and demonstrate their interrelationships. On cherche ici \`a…

组合数学 · 数学 2016-09-06 Daniel E. Loeb

We propose theoretical and empirical improvements for two-stage hashing methods. We first provide a theoretical analysis on the quality of the binary codes and show that, under mild assumptions, a residual learning scheme can construct…

机器学习 · 计算机科学 2018-08-07 Fatih Cakir , Kun He , Stan Sclaroff