Filters








8,731 Hits in 8.6 sec

Can Uncertainty Management be Realized in a Finite Totally Ordered Probability Algebra? [article]

Yang Xiang, Michael P. Beddoes, David L Poole
2013 arXiv   pre-print
The investigation shows that a finite probability model may be of very limited usage.  ...  In this paper, the feasibility of using finite totally ordered probability models under Alelinnas's Theory of Probabilistic Logic [Aleliunas, 1988] is investigated.  ...  Xiang was awarded a University Fellowship during the term of this work. The authors would like to thank R. Aleli unas for helping us to gain the understanding of his TPL.  ... 
arXiv:1304.1535v1 fatcat:s6nlsga3izdwtgztityf2xcmwm

Can Uncertainty Management Be Realized In A Finite Totally Ordered Probability Algebra? [chapter]

Yang Xiang, Michael P. Beddoes, David Poole
1990 Machine Intelligence and Pattern Recognition  
In this paper, the feasibility of using finite totally ordered probability models under Aleliunas's Theory of Probabilistic Logic [Aleliunas, 1988] is investigated.  ...  The investigation shows that a finite probability model may be of very limited usage. The semantics of TPL is given by 'possible worlds'.  ...  Xiang was awarded a University Fellowship during the term of this work. The authors would like to thank R. Aleliunas for helping us to gain the understanding of his TPL.  ... 
doi:10.1016/b978-0-444-88738-2.50011-7 fatcat:qq6jmgr4qzhaxlavyigqxhd32q

A probabilistic relational model and algebra

Debabrata Dey, Sumit Sarkar
1996 ACM Transactions on Database Systems  
We present a revised relational structure and extend the relational algebra. The extended algebra ]s shown to be closed.  ...  Uncertainty in data values. however, is pervasive in all real-world environments and has i-eceiv[,d muc}] attent)[]n in the literature, Several methods ha}!  ...  Thanks are also in order for the associate editor, Hector Garcia-Molina, and the four anonymous reviewers of ACM Transactions on Database Systems; this paper has greatly benefited from their careful reading  ... 
doi:10.1145/232753.232796 fatcat:4oe2e2zadfgcnp5p7y6kejsfwu

Distributionally Robust Optimization: A review on theory and applications

Fengming Lin, Xiaolei Fang, Zheming Gao
2022 Numerical Algebra, Control and Optimization  
<p style='text-indent:20px;'>In this paper, we survey the primary research on the theory and applications of distributionally robust optimization (DRO).  ...  Then, we illustrate some applications of DRO in machine learning and operations research, and finally, we discuss the future research directions.</p>  ...  Probability measures are also called probability distributions, or just distributions. The triplet (Ξ, F, P ) is called a probability space. Denote B as Borel σ-algebra.  ... 
doi:10.3934/naco.2021057 fatcat:cluvjzkrhfbc7o2446fhjrmbji

Today's Computational Methods of Linear Algebra

George E. Forsythe
1967 SIAM Review  
The reader is assumed to have a general familiarity with the algebra and analysis of finite vectors and matrices, including norms, and to know the Gaussian elimination process.  ...  Far more extensive expositions of the computational methods of linear algebra are to be found in Fox [lU], Noble [U2], Householder [28], and Wilkinson [6l].  ...  The total effect turns out to be to reduce the 5/2 round-off error bound by a factor of n .  ... 
doi:10.1137/1009071 fatcat:kgd7xb6xhnawrlmmy4s3jhv6qy

Quantum Algebras in Nuclear Structure [article]

Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis, D. Lenis
1995 arXiv   pre-print
Quantum algebras are a mathematical tool which provides us with a class of symmetries wider than that of Lie algebras, which are contained in the former as a special case.  ...  After a self-contained introduction to the necessary mathematical tools (q-numbers, q-analysis, q-oscillators, q-algebras), the su_q(2) rotator model and its extensions, the construction of deformed exactly  ...  Acknowledgements The authors are grateful to Constanca Providência for a careful reading of the manuscript. One of the authors (DB) has been supported by CEC under contract ERBCHBGCT930467.  ... 
arXiv:nucl-th/9512017v1 fatcat:vvhrva5x35dndbpogsm7eq2czq

At the Interface of Algebra and Statistics [article]

Tai-Danae Bradley
2020 arXiv   pre-print
Every joint probability distribution on a finite set can be modeled as a rank one density operator.  ...  The starting point is a passage from classical probability theory to quantum probability theory.  ...  Every joint probability distribution on a finite set can be modeled as a rank one density operator.  ... 
arXiv:2004.05631v1 fatcat:emb45gx4mvcghjk4zuvrgheefe

Fuzzy Algebraic Modeling of Spatiotemporal Timeseries' Paradoxes in Cosmic Scale Kinematics

Lazaros Iliadis
2022 Mathematics  
This paper introduces the prototype of a generic fuzzy algebraic framework, that aims to serve as a holistic modeling approach of kinematics.  ...  In the opposite case, we are gradually led to paradoxes and uncertainties.  ...  The above Figure 3 clearly describes potential uncertainties and paradoxes that can be met in a CoSKiP kinematics phenomenon.  ... 
doi:10.3390/math10040622 fatcat:uwoqfkxgobardoehwtf44v5uly

Classical and Quantum Mechanics via Lie algebras [article]

Arnold Neumaier, Dennis Westra
2011 arXiv   pre-print
The standard approximation machinery for calculating from first principles explicit thermodynamic properties of materials, or explicit cross sections for high energy experiments can be found in many textbooks  ...  The book emphasizes the closeness of classical and quantum mechanics, and the material is selected in a way to make this closeness as apparent as possible.  ...  However, the exceptional simple Lie algebras can be realized as infinitesimal symmetry groups of some algebraic structure.  ... 
arXiv:0810.1019v2 fatcat:xnkg36c4djehpnkpbhsea2ri2q

Applications of Algebra and Coalgebra in Scientific Modelling

Michael Hauhs, Baltasar Trancón y Widemann
2010 Electronical Notes in Theoretical Computer Science  
In computer science, the algebra-coalgebra duality serves as a formal framework for connecting the perspectives of state-based and behavior-based models.  ...  We explore modelling paradigms, in the sense of philosophy of science, as an intermediate step in translating the (co)algebraic framework from computer science into applications in ecology.  ...  The complete space of possible behavior under human management can then be derived from its documented growth history.  ... 
doi:10.1016/j.entcs.2010.07.016 fatcat:vaxlidqu5rhd3fwh4i2ym3uxle

Randomized Numerical Linear Algebra: Foundations Algorithms [article]

Per-Gunnar Martinsson, Joel Tropp
2021 arXiv   pre-print
machine learning and in scientific computing.  ...  This survey describes probabilistic algorithms for linear algebra computations, such as factorizing matrices and solving linear systems.  ...  application we need can be realized in Section 20.3.  ... 
arXiv:2002.01387v3 fatcat:kaqg3j55hzf6lobdqenuakqr3i

Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation [article]

Vincent E. Sacksteder IV
2004 arXiv   pre-print
Following this review is a set of recommendations for better managing these problems.  ...  model which generalizes Berry's model of wavefunctions in chaotic systems to include both localization and multifractality. (4) A proposal of a new sigma model for disordered systems which does not involve  ...  can be managed fairly reliably.  ... 
arXiv:cond-mat/0411386v1 fatcat:lo2qkh5yazeubjdn6nwmmztq7e

An algebraic theory of portfolio allocation

David A. Hennessy, Harvey E. Lapan
2003 Economic Theory  
The key insight is that preferences over allocations can be partially ordered via majorized convex hulls that have been generated by group elements.  ...  A diversified portfolio imposes symmetry on the allocation vector in order to balance out much of the asymmetries in the returns vector.  ...  By contrast, C 3 ( r 1 , r 2 ,r 3 ) r i group generates a total ordering on the allocation vector.  ... 
doi:10.1007/s00199-002-0284-9 fatcat:a7l4u4k5grhkrkavlql6il7gde

D-algebra for composing access control policy decisions

Qun Ni, Elisa Bertino, Jorge Lobo
2009 Proceedings of the 4th International Symposium on Information, Computer, and Communications Security - ASIACCS '09  
Compared to other algebrabased approaches aimed at policy composition, D-algebra is the only one that satisfies both functional completeness (any possible decision matrix can be expressed by a D-algebra  ...  formula) and computational effectiveness (a formula can be computed efficiently given any decision matrix).  ...  If there is an order, either a total order or a partial order, on D, 0 usually represents the minimal or the least element in D. ¬0 is another constant of D with a "complementary" meaning.  ... 
doi:10.1145/1533057.1533097 dblp:conf/ccs/NiBL09 fatcat:566vmz76jnfdrgkwsrkek2qj5i

Twenty years of rewriting logic

José Meseguer
2012 The Journal of Logic and Algebraic Programming  
Rewriting logic is a simple computational logic that can naturally express both concurrent computation and logical deduction with great generality.  ...  This paper provides a gentle, intuitive introduction to its main ideas, as well as a survey of the work that many researchers have carried out over the last twenty years in advancing: (i) its foundations  ...  This work has been supported in part by NSF Grants CNS 07-16638, CNS 08-34709, CNS 08-31064, CNS 09-04749, and CCF 09-05584, AFOSR Grant FA8750-11-2-0084, and the "Programa de Apoyo a la Investigación  ... 
doi:10.1016/j.jlap.2012.06.003 fatcat:5tx4a5uxlvapfpf5fajozkbboi
« Previous Showing results 1 — 15 out of 8,731 results