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Algebraic Methods in Phylogenetics. [PDF]
Bull Math Biol, 2019 To those outside the field, and even to some focused on empirical applications, phylogenetics may appear to have little to do with algebra. Probability and statistics are clearly important ingredients, as modeling and inferring evolutionary relationships motivate the field.
Casanellas M, Rhodes JA.
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Abstract visual reasoning based on algebraic methods [PDF]
Scientific ReportsExtracting 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 ...
Mingyang Zheng, Weibing Wan, Zhijun Fang
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Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon) [PDF]
Scientific ReportsImage 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 ...
Kylie Yeung +11 more
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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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Algebraic Methods for Tensor Data [PDF]
SIAM Journal on Applied Algebra and Geometry, 2021 We develop algebraic methods for computations with tensor data. We give 3 applications: extracting features that are invariant under the orthogonal symmetries in each of the modes, approximation of the tensor spectral norm, and amplification of low rank tensor structure.
Neriman Tokcan +3 more
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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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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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Nuclear Physics B, 2001 Latex, 38 ...
GRASSI, PIETRO, T. HURTH, M. STEINHAUSER
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Algebraic multigrid methods [PDF]
Acta Numerica, 2017 This paper provides an overview of AMG methods for solving large-scale systems of equations, such as those from discretizations of partial differential equations. AMG is often understood as the acronym of ‘algebraic multigrid’, but it can also be understood as ‘abstract multigrid’. Indeed, we demonstrate in this paper how and why an algebraic multigrid
Jinchao Xu, Ludmil T. Zikatanov
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