This paper introduces an estimation scheme aimed at improving the performance of adaptive filters. The basic idea consists of a convex combination of three adaptive filters, all based on the affine projection algorithm with different numbers of normalization hyperplanes. The three filters are adjusted separately and then combined to minimize the MSE and to increase the speed of convergence of t...

In discrete convex analysis, the scaling and proximity properties for the class of L-convex functions were established more than a decade ago and have been used to design efficient minimization algorithms. For the larger class of integrally convex functions of n variables, we show here that the scaling property only holds when n ≤ 2, while a proximity theorem can be established for any n, but o...

We study morphological changes on the Si surface induced by C60 ion beam under various irradiation conditions. The fluence and incident energy of was 1 × 1016–1 1019 ions/m2 50 keV–9 MeV, respectively. beam’s angle to normal 0° or 60°. As a result in these variables, three types nanostructures were observed: concave convex, stringlike, ripple structures. Structure shapes sizes varied with param...

Let S be a finite set of n points in the plane in general position. A k-hole of S is a simple polygon with k vertices from S and no points of S in its interior. A simple polygon P is l-convex if no straight line intersects the interior of P in more than l connected components. Moreover, a point set S is l-convex if there exists an l-convex polygonalization of S. Considering a typical Erdős-Szek...

The aim of this paper is to introduce $(L,M)$-fuzzy closurestructure where $L$ and $M$ are strictly two-sided, commutativequantales. Firstly, we define $(L,M)$-fuzzy closure spaces and getsome relations between $(L,M)$-double fuzzy topological spaces and$(L,M)$-fuzzy closure spaces. Then, we introduce initial$(L,M)$-fuzzy closure structures and we prove that the category$(L,M)$-{bf FC} of $(L,M...

By extracting combinatorial structures in well-solved nonlinear combinatorial optimization problems, Murota (1996,1998) introduced the concepts of M-convexity and L-convexity to functions defined over the integer lattice. Recently, Murota–Shioura (2000, 2001) extended these concepts to polyhedral convex functions and quadratic functions defined over the real space. In this paper, we consider a ...

We show that if a contact open book (Σ, h) on a (2n+1)-manifoldM (n ≥ 1) is induced by a Lefschetz fibration π : W → D, then there is a one-to-one correspondence between positive stabilizations of (Σ, h) and positive stabilizations of π. More precisely, any positive stabilization of (Σ, h) is induced by the corresponding positive stabilization of π, and conversely any positive stabilization of ...

L-convex functions are nonlinear discrete functions on integer points that are computationally tractable in optimization. In this paper, a discrete Hessian matrix and a local quadratic expansion are defined for L-convex functions. We characterize L-convex functions in terms of the discrete Hessian matrix and the local quadratic expansion.

in 1997, fang proposed the concept of boundedness of $l$-fuzzy setsin $l$-topological vector spaces. since then, this concept has beenwidely accepted and adopted in the literature. in this paper,several characterizations of bounded $l$-fuzzy sets in$l$-topological vector spaces are obtained and some properties ofbounded $l$-fuzzy sets are investigated.