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Remarks on the ShermanMorrisonWoodbury formulae
 Mathematica Bohemica
"... digitized documents strictly for personal use. Each copy of any part of this document must contain ..."
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digitized documents strictly for personal use. Each copy of any part of this document must contain
Fit a Gaussian Linear Model with Linear Covariance Structure
, 2013
"... Description Functions to fit Gaussian linear model by maximising the residual log likelihood where the covariance structure can be written as a linear combination of known matrices. Can be used for multivariate models and random effects models. Easy straight forward manner to specify random effects ..."
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models,including random interactions. Code now optimised to use Sherman Morrison Woodbury identities for matrix inversion in random effects models. We’ve added the abilty to fit models using any kernel as well as a function to return the mean and covariance of random effects conditional on the data
1 Some New Results of the ShermanMorrisonWoodbury Formula
"... Let H andK be Hilbert spaces. We denote the set of all bounded linear operators fromH intoK by ( ,)B H K and by ()B H when =H K. For ( ,)A∈B H K, let *,A ()AR and ()AN be the adjoint, the range and the null space, respectively. The identity onH is denoted by IH or I if there does not exist confusion ..."
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Let H andK be Hilbert spaces. We denote the set of all bounded linear operators fromH intoK by ( ,)B H K and by ()B H when =H K. For ( ,)A∈B H K, let *,A ()AR and ()AN be the adjoint, the range and the null space, respectively. The identity onH is denoted by IH or I if there does not exist
ShermanMorrisonWoodbury Formulabased Algorithms for the Surface Smoothing Problem
"... Surface smoothing applied to range/elevation data acquired using a variety of sources has been a very active area of research in computational vision over the past decade. Generalized splines have emerged as the single most popular approximation tool to this end. In this paper we present a new and f ..."
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) in a rectangular region using the capacitance matrix method based on the ShermanMorrisonWoodbury formula of matrix analysis. This formula is used in converting the problem of solving the original linear system resulting from a finite element discretization of the variational formulation
Decremental Learning Algorithms for Nonlinear Langrangian and Least Squares Support Vector Machines
"... (LSSVM) are two quick and effective classification methods. In this paper, we first introduce the mathematical models for LSVM and LSSVM and analyze their properties. In the nonlinear case, ShermanMorrisonWoodbury identity is not used to compute the inversion of a matrix. According to block comput ..."
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(LSSVM) are two quick and effective classification methods. In this paper, we first introduce the mathematical models for LSVM and LSSVM and analyze their properties. In the nonlinear case, ShermanMorrisonWoodbury identity is not used to compute the inversion of a matrix. According to block
A Limited Memory Algorithm for Bound Constrained Optimization
 SIAM Journal on Scientific Computing
, 1994
"... An algorithm for solving large nonlinear optimization problems with simple bounds is described. ..."
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Cited by 557 (9 self)
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An algorithm for solving large nonlinear optimization problems with simple bounds is described.
Eye movements in reading and information processing: 20 years of research
 Psychological Bulletin
, 1998
"... Recent studies of eye movements in reading and other information processing tasks, such as music reading, typing, visual search, and scene perception, are reviewed. The major emphasis of the review is on reading as a specific example of cognitive processing. Basic topics discussed with respect to re ..."
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Cited by 861 (26 self)
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Recent studies of eye movements in reading and other information processing tasks, such as music reading, typing, visual search, and scene perception, are reviewed. The major emphasis of the review is on reading as a specific example of cognitive processing. Basic topics discussed with respect to reading are (a) the characteristics of eye movements, (b) the perceptual span, (c) integration of information across saccades, (d) eye movement control, and (e) individual differences (including dyslexia). Similar topics are discussed with respect to the other tasks examined. The basic theme of the review is that eye movement data reflect momenttomoment cognitive processes in the various tasks examined. Theoretical and practical considerations concerning the use of eye movement data are also discussed. Many studies using eye movements to investigate cognitive processes have appeared over the past 20 years. In an earlier review, I (Rayner, 1978b) argued that since the mid1970s we have been in a third era of eye movement research and that the success of research in the current era would depend on the ingenuity of researchers in designing interesting and informative
LeastSquares Policy Iteration
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2003
"... We propose a new approach to reinforcement learning for control problems which combines valuefunction approximation with linear architectures and approximate policy iteration. This new approach ..."
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Cited by 461 (12 self)
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We propose a new approach to reinforcement learning for control problems which combines valuefunction approximation with linear architectures and approximate policy iteration. This new approach
A Monetary History of the United States 18671960
, 1963
"... The longawaited monetary history of the United States by Friedman and Schwartz is in every sense of the term a monumental scholarly accomplishment.... the volume sets,..., a new standard for the writing of monetary history, one that requires the explanation of historical developments in terms of mo ..."
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Cited by 408 (6 self)
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The longawaited monetary history of the United States by Friedman and Schwartz is in every sense of the term a monumental scholarly accomplishment.... the volume sets,..., a new standard for the writing of monetary history, one that requires the explanation of historical developments in terms of monetary theory and the application of them to the techniques of quantitative economic analysis.... One can safely predict that it will be the classic reference on its subject for many years to come. H. G. Johnson (1965, 388) The book is clearly destined to become a classic, perhaps one of the few emerging in that role rather than growing into it. A. Meltzer (1965, 404) The transcendent virtue of the History is its unerring vision in seeking out important problems and its clear delineation of areas needing further research. The book offers an almost inexhaustible supply of worthwhile conjectures. I have no doubt that it,..., will be the
13. Numerical Algorithms for Linear and Nonlinear Algebra Application of the ShermanMorrisonWoodbury Formula to a Recursive Algorithm for Symmetric Indefinite Linear Systems?
"... Abstract. A recursive algorithm for symmetric indefinite linear systems that uses the ShermanMorrisonWoodbury formula is considered in the present note. The experiments show that the new algorithm can be faster although performing almost the same number of flops as the LAPACK algorithm. 1 Introduc ..."
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Abstract. A recursive algorithm for symmetric indefinite linear systems that uses the ShermanMorrisonWoodbury formula is considered in the present note. The experiments show that the new algorithm can be faster although performing almost the same number of flops as the LAPACK algorithm. 1
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