Results 11 to 20 of about 450,827 (278)
Abstract visual reasoning based on algebraic methods. [PDF]
Sci RepExtracting high-order abstract patterns from complex high-dimensional data forms the foundation of human cognitive abilities. Abstract visual reasoning involves identifying abstract patterns embedded within composite images, considered a core competency ...
Zheng M, Wan W, Fang Z.
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Universal Algebraic Methods for Constraint Satisfaction Problems [PDF]
Logical Methods in Computer Science, 2022 After substantial progress over the last 15 years, the "algebraic CSP-dichotomy conjecture" reduces to the following: every local constraint satisfaction problem (CSP) associated with a finite idempotent algebra is tractable if and only if the algebra ...
Clifford Bergman, William DeMeo
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Research on Granular Conversion Computing in Algebraic Quotient Space [PDF]
Jisuanji kexue yu tansuo, 2022 Granular computing is a problem processing paradigm based on multi-level structure, which has attracted extensive attention of domestic and foreign scholars in recent years.
WEI Zongxuan, WANG Jiayang
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A High-Gain Observer for Embedded Polynomial Dynamical Systems
Machines, 2023 This article deals with the construction of high-gain observers for autonomous polynomial dynamical systems. In contrast to the usual approach, the system’s state is embedded into a higher dimensional Euclidean space. The observer state will be contained
Daniel Gerbet, Klaus Röbenack
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An Algebraic Approach to Identifiability
Algorithms, 2021 This paper addresses the problem of identifiability of nonlinear polynomial state-space systems. Such systems have already been studied via the input-output equations, a description that, in general, requires differential algebra.
Daniel Gerbet, Klaus Röbenack
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Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon). [PDF]
Sci RepImage reconstruction in Magnetic Resonance Imaging (MRI) is fundamentally a linear inverse problem, such that the image can be recovered via explicit pseudoinversion of the encoding matrix by solving $${\textbf {data}} = {\textbf {Encode}} \times ...
Yeung K +11 more
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Algebraic solution for the classical harmonic oscillator
Revista Brasileira de Ensino de Física, 2023 The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
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Some remarks on connectors and groupoids in Goursat categories [PDF]
Logical Methods in Computer Science, 2017 We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category $\mathsf{Conn}(\mathbb{C})$ of connectors in $\mathbb{C}$ is a Goursat category whenever $\mathbb C$ is.
Marino Gran +2 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Algebraic Methods for Achieving Super-Resolution by Digital Antenna Arrays
Mathematics, 2023 The actual modern problem of developing and improving measurement and observation systems (including robotic ones) is to increase the volume and quality of the information received.
Boris A. Lagovsky, Evgeny Ya. Rubinovich
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