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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…

Statistics Theory · Mathematics 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…

Artificial Intelligence · Computer Science 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…

Symbolic Computation · Computer Science 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…

Probability · Mathematics 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…

Mathematical Physics · Physics 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.

High Energy Physics - Phenomenology · Physics 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…

Cryptography and Security · Computer Science 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…

Machine Learning · Computer Science 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…

General Mathematics · Mathematics 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.

Combinatorics · Mathematics 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…

Human-Computer Interaction · Computer Science 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…

Quantum Physics · Physics 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…

Pricing of Securities · Quantitative Finance 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.

Numerical Analysis · Mathematics 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…

Data Structures and Algorithms · Computer Science 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…

Quantum Physics · Physics 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…

Information Theory · Computer Science 2015-04-27 Daniel Denkovski , Valentin Rakovic , Vladimir Atanasovski , Liljana Gavrilovska , Petri Mähönen

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…

Networking and Internet Architecture · Computer Science 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…

Combinatorics · Mathematics 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…

Machine Learning · Computer Science 2018-08-07 Fatih Cakir , Kun He , Stan Sclaroff
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