We establish the convergence of the fuzzy subspace clustering (FSC) algorithm by applying Zangwill’s convergence theorem. We show that the iteration sequence produced by the FSC algorithm terminates at a point in the solution set S or there is a subsequence converging to a point in S. In addition, we present experimental results that illustrate the convergence properties of the FSC algorithm in...

We show that one can construct the universal R-homology isomorphism K ~ E~X of Bousfield [1] by a transfinite iteration of an elementary homology correction map. This correction map is essentially the same as the one used classically to define Adams spectral sequence. This yields a topological characterization of the class of local spaces as the smallest s containing K(A, n)'s and closed under ...

Since we focus on a particular epoch s, let us drop the subscript from˜w s−1 , and denote it simply at˜w. Rewriting the update equations from the algorithm, we have that w t+1 = w t+1 w t+1 , where w t+1 = (I + ηA)w t + η(xx − A)(w t − ˜ w), where x is the random instance chosen at iteration t.

Image restoration is an important branch of image processing which has been studied extensively while there are several methods to solve this problem by many authors with the challenges computational speed and accuracy algorithms. In paper, we present two methods, called ?Inertial S-iteration forward-backward algorithm (ISFBA)? ?A fast iterative shrinkage-thresholding algorithm-Siteration (FIST...

For getting the numerical solution of linear complementary problem (LCP), there are many methods such as modulus-based matrix splitting iteration and nonsmooth Newton?s method. We proposed Square-Newton method to solve LCP. This could LCP efficiently. gave theoretical analysis experiments in paper.

This paper presents an eecient compilation technique to generate the local memory access sequences for block-cyclically distributed array references with aane subscripts in data-parallel programs. For the memory accesses of an array reference with aane subscript within a two-nested loop, there exist repetitive patterns both at the outer and inner loops. We use tables to record the memory access...

large cardinal hypothesis used to prove I1~+1 determinacy in [MS] cannot be substantially improved. Our theorem is an application of the theory of core models or canonical inner models for large cardinal hypotheses. Our work develops further some of the basic ideas of this theory. The theory itself has many other applications, particularly in the realm of relative consistency results. (As a quo...

We introduce bidiagonal coordinates, a new set of spectral coordinates on open dense charts covering the space of real symmetric tridiagonal matrices. In contrast to the standard Jacobi inverse variables, reduced tridiagonal matrices now lie in the interior of some chart. Bidiagonal coordinates are thus convenient for the study of asymptotics of isospectral dynamics, both for continuous and dis...

One of the most diicult aspects of using the Gibbs sam-pler in practice is knowing when to stop the algorithm. In order to answer this we need to have some method which will tell us when we have completed enough iterations for the chain to have converged suuciently. In this paper I will look at some of the methods that have been suggested in the literature. Most of these methods require input f...

In several cryptographic primitives, Sboxes of small size are used to provide nonlinearity. After several iterations, all the output bits of the primitive are ideally supposed to depend in a nonlinear way on all of the input variables. However, in some cases, it is possible to find some output bits that depend in an affine way on a small number of input bits if the other input bits are fixed to...