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A GEOMETRIC INTERPRETATION OF THE METROPOLIS-HASTINGS ALGORITHM
Algorithm geometry explained
2015/7/14
A GEOMETRIC INTERPRETATION OF THE METROPOLIS-HASTINGS ALGORITHM.
Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains
Geometry comparison Steve Nash sobolev inequality the convergence rate
2015/7/7
This paper gives geometric tools: comparison, Nash and Sobolev inequalities for pieces of the relevent Markov operators, that give useful bounds on rates of convergence for the Metropolis algorithm. A...
A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators
Fourier integral operators the butterfly algorithm dyadic partitioning Lagrange interpolation separated representation multiscale computations
2015/6/17
This paper is concerned with the fast computation of Fourier integral operators of the general form RRd e2πıΦ(x,k)f(k)dk, where k is a frequency variable, Φ(x, k) is a phase function obeying a st...
A SINGULAR VALUE THRESHOLDING ALGORITHM FOR MATRIX COMPLETION
Nuclear norm minimization matrix completion singular value thresholding Lagrange dual function Uzawa’s algorithm and linearized Bregman iteration
2015/6/17
This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxat...
An algorithm for computing the centered Hausdorff measure of self-similar sets
centered Hausdorff measure self-similar sets computability of fractal measures
2011/9/15
Abstract: We provide an algorithm for computing the centered Hausdorff measure of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and test its u...
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Balanced realizations of discrete-time stable all-pass systems tangential Schur algorithm
2011/2/21
In this paper, the connections are investigated between two different approaches towards
the parametrization of multivariable stable all-pass systems in discrete-time. The first approach involves the...
$P_1$-nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm
2007/12/12
In this paper, we discuss the finite volume element
method of $P_1$-nonconforming quadrilateral element for elliptic
problems and obtain optimal error estimates for general
quadrilateral partition....
Ritt-Wu's Decomposition Algorithm
Wu's method mechanical theorem proving prover elementary geometry degenerate conditions Ritt-Wu's principle algebraic variety ideal ascending chain the dimension theorem Morley's trisector theorem
2013/9/9
An improved Ritt-Wu's decomposition (of an algebraic set into the union of irreducible varieties) algorithm is given. The algorithm has been used to prove geometric theorems that Wu's original method ...