A Computer Algebra System for R: Macaulay2 and the m2r Package
Algebraic methods have a long history in statistics. Apart from the ubiquitous applications of linear algebra, the most visible manifestations of modern algebra in statistics are found in the young field of algebraic statistics, which brings tools from ...
David Kahle +2 more
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09421 Abstracts Collection – Algebraic Methods in Computational Complexity [PDF]
From 11.10. to 16.10.2009, the Dagstuhl Seminar 09421 ``Algebraic Methods in Computational Complexity '' was held in Schloss Dagstuhl~--~Leibniz Center for Informatics.
Agrawal, Manindra +3 more
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Algebraic Methods for Finite Linear Cellular Automata [PDF]
PhDCellular automata are a simple class of extended dynamical systems which have been much studied in recent years. Linear cellular automata are the class of cellular automata most amenable to algebraic analytic treatments, algebraic techniques are ...
Dow, R. A.
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Nontrivial solutions of linear functional equations: methods and examples [PDF]
For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters.
Adrienn Varga, Csaba Vincze
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07411 Abstracts Collection – Algebraic Methods in Computational Complexity [PDF]
From 07.10. to 12.10., the Dagstuhl Seminar 07411 ``Algebraic Methods in Computational Complexity'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current
Agrawal, Manindra +3 more
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Algebraic Methods for Traffic Flow Densities Estimation
An estimation approach that allows recovering of the traffic state is proposed in this paper. The method used is based on numerical differentiation, which does not need any integration of differential equations and turns out to be quite robust with ...
Abouaïssa H., Iordanova V.
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Method for solving quantifier linear equations based on the algebra of linear predicate operations
The subject involves structured approaches that extend the existing set of mathematical tools for processing complex relationships within databases and computational systems.
Zoya Dudar, Volodymyr Liashyk
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Stochastic Runge–Kutta methods for multi-dimensional Itô stochastic differential algebraic equations
In this paper, we discuss the numerical solutions to index 1 stochastic differential algebraic equations. We introduce a new class of weak second-order stochastic Runge–Kutta methods for finding the numerical approximate solutions to multi-dimensional ...
Priya Nair, Anandaraman Rathinasamy
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The "fundamental theorem" for the algebraic K-theory of spaces. I [PDF]
Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra. 2001;160(1):21-52.Let X H A(X) denote the algebraic K-theory of spaces functor.
Wolrad Vogell +10 more
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A Granular Computing Based Classification Method From Algebraic Granule Structure
Classification, as one of the main task of machine learning, corresponds to the core work of granular computing, namely granulation. Most of granular computing models and related classification methods are uniquely classifying by granule features, but ...
Linshu Chen +4 more
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