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Wyświetlanie 1-4 z 4
Tytuł:
Quantum Factorization of Integers 21 and 91 using Shor’s Algorithm
Autorzy:
Ardhyamath, Poornima
Naghabhushana, N. M.
Ujjinimatad, Rohitha
Powiązania:
https://bibliotekanauki.pl/articles/1070857.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Euclidean Algorithm
Factorization
GCD
Quantum Fourier Transform
Shor’s Algorithm
Opis:
In this paper we focused on the factorization of integer in detail using well known Shor’s algorithm and its quantum part realization. The algorithm finds prime factors any integer more efficiently than any known classical algorithm. It is based on prior knowledge of the answer to the factorization problem. Algorithm includes finding gcd using polynomial time Euclidean algorithm, determination of unknown period from quantum computer and continued fraction expansion approach. Factorization of two integers 21 and 91 are shown in this paper with all steps. Quantum part of the factorization described mathematically.
Źródło:
World Scientific News; 2019, 123; 102-113
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monte Carlo Tree Search Algorithm for the Euclidean Steiner Tree Problem
Autorzy:
Bereta, M.
Powiązania:
https://bibliotekanauki.pl/articles/308683.pdf
Data publikacji:
2017
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
Euclidean Steiner tree problem
MCTS
Monte Carlo Tree Search
UCT algorithm
Opis:
This study is concerned with a novel Monte Carlo Tree Search algorithm for the problem of minimal Euclidean Steiner tree on a plane. Given p p p points (terminals) on a plane, the goal is to find a connection between all the points, so that the total sum of the lengths of edges is as low as possible, while an addition of extra points (Steiner points) is allowed. Finding the minimum Steiner tree is known to be np-hard. While exact algorithms exist for this problem in 2D, their efficiency decreases when the number of terminals grows. A novel algorithm based on Upper Confidence Bound for Trees is proposed. It is adapted to the specific characteristics of Steiner trees. A simple heuristic for fast generation of feasible solutions based on Fermat points is proposed together with a correction procedure. By combing Monte Carlo Tree Search and the proposed heuristics, the proposed algorithm is shown to work better than both the greedy heuristic and pure Monte Carlo simulations. Results of numerical experiments for randomly generated and benchmark library problems (from OR-Lib) are presented and discussed.
Źródło:
Journal of Telecommunications and Information Technology; 2017, 4; 71-81
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algorithms for integral solutions of a class of diophantine equations
Autorzy:
Polak, A.
Powiązania:
https://bibliotekanauki.pl/articles/206419.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
integral quadratic form
unit form
diophantine equations
roots
Euler bilinear form
Euclidean diagrams
mesh quiver
algorithm
Maple
Opis:
In 1970 a negative solution to the tenth Hilbert problem, concerning the determination of integral solutions of diophantine equations, has been published by Y. W. Matiyasevich (see Matiyasevich, 1970). Despite this result, we can present algorithms to compute integral solutions (roots) for a wide class of quadratic diophantine equations of the form q(x) = d, where q : Zn → Z is a homogeneous quadratic form. We will focus on the roots of one (i.e., d = 1) of quadratic Euler forms of selected posets from Loupias list (see Loupias, 1975). In particular, we will describe the roots of positive definite quadratic forms and the roots of quadratic forms that are principal (see Simson, 2010a). The algorithms and results we present here are successfully used in the representation theory of finite groups and algebras.
Źródło:
Control and Cybernetics; 2011, 40, 2; 491-514
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Online parameter identification of SPMSM based on improved artificial bee colony algorithm
Autorzy:
Wu, Chunli
Jiang, Shuai
Bian, Chunyuan
Powiązania:
https://bibliotekanauki.pl/articles/1955171.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
artificial bee colony algorithm
Euclidean distance
online identification
parameter identification
urface-mounted permanent magnet synchronous motor
algorytm sztucznej kolonii pszczół
odległość euklidesowa
identyfikacja online
identyfikacja parametrów
silnik synchroniczny z magnesami trwałymi montowany na powierzchni czołowej
Opis:
The artificial bee colony (ABC) intelligence algorithm is widely applied to solve multi-variable function optimization problems. In order to accurately identify the parameters of the surface-mounted permanent magnet synchronous motor (SPMSM), this paper proposes an improved ABC optimization method based on vector control to solve the multi-parameter identification problem of the PMSM. Because of the shortcomings of the existing parameter identification algorithms, such as high computational complexity and data saturation, the ABC algorithm is applied for the multi-parameter identification of the PMSM for the first time. In order to further improve the search speed of the ABC algorithm and avoid falling into the local optimum, Euclidean distance is introduced into the ABC algorithm to search more efficiently in the feasible region. Applying the improved algorithm to multi-parameter identification of the PMSM, this method only needs to sample the stator current and voltage signals of the motor. Combined with the fitness function, the online identification of the PMSM can be achieved. The simulation and experimental results show that the ABC algorithm can quickly identify the motor stator resistance, inductance and flux linkage. In addition, the ABC algorithm improved by Euclidean distance has faster convergence speed and smaller steady-state error for the identification results of stator resistance, inductance and flux linkage.
Źródło:
Archives of Electrical Engineering; 2021, 70, 4; 777-790
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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