Search Results - algebraic theory of algorithms
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An Algorithm for Reselecting a Reference Objects
ISSN: 1054-6618, 1555-6212Published: Moscow Pleiades Publishing 01.10.2018Published in Pattern recognition and image analysis (01.10.2018)“… The algorithm operation is checked on model data…”
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Applying a Reference Objects Preselection Algorithm to Real-World Data
ISSN: 1054-6618, 1555-6212Published: Moscow Pleiades Publishing 01.07.2018Published in Pattern recognition and image analysis (01.07.2018)“…The problem of optimal selection of learning objects is investigated. The effectiveness of the previously proposed iterative method for generating sets of…”
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Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs
ISSN: 1053-587X, 1941-0476Published: New York, NY IEEE 01.04.2008Published in IEEE transactions on signal processing (01.04.2008)“… The approach is based on the algebraic signal processing theory. This means that the algorithms are not derived by manipulating the entries of transform matrices, but by a stepwise decomposition of the associated signal models, or polynomial algebras…”
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Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for Real DFTs
ISSN: 1053-587X, 1941-0476Published: New York, NY IEEE 01.01.2009Published in IEEE transactions on signal processing (01.01.2009)“…) including the discrete Hartley transform (DHT) based on the algebraic signal processing theory…”
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Algebraic Signal Processing Theory: Cooley–Tukey-Type Algorithms for Polynomial Transforms Based on Induction
ISSN: 0895-4798, 1095-7162Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.2011Published in SIAM journal on matrix analysis and applications (01.04.2011)“… An important example includes the discrete Fourier transform. In this paper we introduce a novel technique to derive fast algorithms for polynomial transforms…”
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One-particle many-body Green's function theory: Algebraic recursive definitions, linked-diagram theorem, irreducible-diagram theorem, and general-order algorithms
ISSN: 1089-7690, 1089-7690Published: United States 28.07.2017Published in The Journal of chemical physics (28.07.2017)“…) theory is presented in a pedagogical manner. Three distinct but equivalent algebraic (first-quantized) recursive definitions of the perturbation series of the Green's…”
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Monitoring Dynamically Changing Migratory Flocks Using an Algebraic Graph Theory-Based Clustering Algorithm
ISSN: 2072-4292, 2072-4292Published: Basel MDPI AG 01.04.2024Published in Remote sensing (Basel, Switzerland) (01.04.2024)“… This paper uses a real-time clustering-based method that utilizes concepts from the algebraic graph theory…”
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The Euler–Lagrange theory for Schur's Algorithm: Algebraic exposed points
ISSN: 0021-9045, 1096-0430Published: Elsevier Inc 01.03.2006Published in Journal of approximation theory (01.03.2006)“…In this paper the ideas of Algebraic Number Theory are applied to the Theory of Orthogonal polynomials for algebraic measures…”
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An algebraic algorithm for the total least squares problem in commutative quaternionic theory
ISSN: 0096-3003Published: Elsevier Inc 01.06.2025Published in Applied mathematics and computation (01.06.2025)“… quaternion solution, and gives an algebraic algorithm for solving the CQTLS problem. •A necessary and sufficient condition is given for solving the commutative…”
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Finite-temperature many-body perturbation theory for electrons: Algebraic recursive definitions, second-quantized derivation, linked-diagram theorem, general-order algorithms, and grand canonical and canonical ensembles
ISSN: 1089-7690, 1089-7690Published: 07.09.2021Published in The Journal of chemical physics (07.09.2021)“… Algebraic recursions in the style of the Rayleigh-Schrödinger perturbation theory are derived for the grand potential, chemical potential, internal energy, and entropy…”
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Some accelerated iterative algorithms for solving nonsymmetric algebraic Riccati equations arising in transport theory
ISSN: 0020-7160, 1029-0265Published: Abingdon Taylor & Francis 01.09.2020Published in International journal of computer mathematics (01.09.2020)“…In this paper, some accelerated iterative algorithms are developed to find the minimal positive solution of the nonsymmetric algebraic Riccati equation arising in transport theory…”
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Algebraic signal processing theory: Cooley–Tukey type algorithms on the 2-D hexagonal spatial lattice
ISSN: 0938-1279, 1432-0622Published: Berlin/Heidelberg Springer-Verlag 01.06.2008Published in Applicable algebra in engineering, communication and computing (01.06.2008)“… The DTT algorithm derivation is based on the algebraic signal processing theory. This means that instead of manipulating transform coefficients, the algorithm…”
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13
Feature Selection Combining Information Theory View and Algebraic View in the Neighborhood Decision System
ISSN: 1099-4300, 1099-4300Published: Basel MDPI AG 02.06.2021Published in Entropy (Basel, Switzerland) (02.06.2021)“… algorithm that combines the information theory view and algebraic view in the neighborhood decision system…”
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Algorithms for constructing balanced plateaued functions with maximal algebraic degrees
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.02.2024Published in IEEE transactions on information theory (01.02.2024)“…It is important to study constructions of plateaued functions with balancedness and high algebraic degrees for preventing cryptographic attacks…”
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Algebraic algorithms for least squares problem in quaternionic quantum theory
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.04.2007Published in Computer physics communications (01.04.2007)“… matrix, study the QLS problem and derive two algebraic methods for finding solutions of the QLS problem in quaternionic quantum theory…”
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Algebraic Signal Processing Theory: CooleyaTukey Type Algorithms for Real DFTs
ISSN: 1053-587XPublished: 01.01.2009Published in IEEE transactions on signal processing (01.01.2009)“…) including the discrete Hartley transform (DHT) based on the algebraic signal processing theory…”
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17
A modified structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equations from transport theory
ISSN: 0377-0427, 1879-1778Published: Elsevier B.V 01.05.2014Published in Journal of computational and applied mathematics (01.05.2014)“…We consider the nonsymmetric algebraic Riccati equation arising in transport theory, where the n…”
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Quantum computation in algebraic number theory: Hallgren’s efficient quantum algorithm for solving Pell’s equation
ISSN: 0003-4916, 1096-035XPublished: Elsevier Inc 01.08.2003Published in Annals of physics (01.08.2003)“… The best known classical algorithm has sub-exponential running time O( exp log d , poly(n)) . Hallgren’s quantum algorithm gives the result in polynomial time O…”
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Algebraic Algorithms for Vector Network Coding: Facets of Coding Theory: From Algorithms to Networks. Special Issue Dedicated to the Scientific Legacy of Ralf Koetter
ISSN: 0018-9448Published: New York, NY Institute of Electrical and Electronics Engineers 2011Published in IEEE transactions on information theory (2011)Get full text
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Algebraic Algorithms for Vector Network Coding
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.02.2011Published in IEEE transactions on information theory (01.02.2011)“…We develop new algebraic algorithms for scalar and vector network coding. In vector network coding, the source multicasts information by transmitting vectors…”
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