This paper deals with problem of blind identification of a graph filter and its sparse input signal, thus broadening the scope of classical blind deconvolution of temporal and spatial signals to irregular graph domains. While the observations are bilinear functions of the unknowns, a mild requirement on invertibility of the filter enables an efficient convex formulation, without relying on matr...

abstract introduction: scaling and root planing is one of the most commonly used procedures during periodontal treatments. removal of calculus using conventional hand instruments is incomplete and rather time consuming. to find more efficient and less difficult instrumentation method, investigators have proposed lasers as an alternative or adjunct to hand instruments for scaling and root planin...

We further extend the model predictive control framework, which is very popular in the process industry due to its ability to handle constraints on inputs and outputs, to a class of discrete event systems that can be modeled using the operations maximization, minimization, addition and scalar multiplication. This class encompasses max-plus-linear systems, min-max-plus systems, bilinear max-plus...

Most of the existing studies on voice conversion (VC) are conducted in acoustically matched conditions between source and target signal. However, the robustness of VC methods in presence of mismatch remains unknown. In this paper, we report a comparative analysis of different VC techniques under mismatched conditions. The extensive experiments with five different VC techniques on CMU ARCTIC cor...

We consider the following sparse representation problem: represent a given matrix X ∈ IRm×N as a multiplication X = AS of two matrices A ∈ IRm×n (m 6 n < N) and S ∈ IRn×N , under requirements that all m×m submatrices of A are nonsingular, and S is sparse in sense that each column of S has at least n −m + 1 zero elements. It is known that under some mild additional assumptions, such representati...

The feasibility problem for constant scaling in output feedback control is considered. This is an inherently di cult problem [20, 21] since the set of feasible solutions is nonconvex and may be disconnected. Nevertheless, we show that this problem can be reduced to the global maximization of a concave function over a convex set, or alternatively, to the global minimization of a convex program w...

We consider a particular 4 state spin system composed of two Ising spins ( sx, σx ) with independent hopping parameters κ1, κ2, coupled by a bilinear Yukawa term, ysxσx. The Yukawa term is solely responsible for breaking the global Z2 × Z2 symmetry down to Z2. This model is intended as an illustration of general coupled Higgs system where scalars can arise both as composite and elementary excit...

LetHN be the set of all N×N (complex) Hermitian matrices, and let trA = ∑N i=1 aii denotes the trace of a square matrix A = (aij) N i,j=1. HN is a real Hilbert space of dimension N with respect to the symmetric bilinear form (A,B) 7→ trAB. Let lN denotes the unique Lebesgue measure on HN which satisfies the relation lN(Q) = 1 for every cube Q ⊂ HN with edges of length 1. A Gaussian probability ...

Visual perception of transformation invariance, such as translation, rotation and scaling, is one of the important functions of processing visual information in the Brain. To simulate this perception property, we propose a computational model for perception of transformation. First, we briefly introduce the transformation-invariant basis functions learned from natural scenes using Independent C...