One effective approach to music analysis/synthesis is multiple wavetable interpolation, which matches an audio signal at selected breakpoints by determining weightings for several wavetables; the sound is resynthesized using multiple wavetable additive synthesis by interpolating between the weightings for each wavetable at consecutive breakpoints. This article presents a new breakpoint-matching...

We study the performance of discrete-time consensus protocols in the presence of additive noise. When the consensus dynamic corresponds to a reversible Markov chain, we give an exact expression for a weighted version of steady-state disagreement in terms of the stationary distribution and hitting times in an underlying graph. We then show how this result can be used to characterize the noise ro...

The changes in the nonnegative and positive polar factors of generalized polar decomposition and polar decomposition are studied under the additive perturbation. Some new perturbation bounds are obtained. These bounds are different from precious ones in form and measure and, in some cases, may be smaller than the corresponding existing ones. Furthermore, the corresponding perturbation bounds fo...

Abstract : It has been recently shown that nonparametric estimates of the additive regression function could be obtained in presence of censored data by coupling the marginal integration method with initial kernel-type Inverse Probability of Censoring Weighted estimators of the multivariate regression function (7). In this paper, we get the exact rate of strong uniform consistency for such esti...

In this chapter, a new family of multifactorial function, called generalized additive weighted multifactorial function, is proposed and discussed in detail. First, its properties in n-dimensional space are discussed and then our results are extended to the infinite dimensional space. Second, the implication of its constant coefficients is explained by fuzzy integral. Finally, its application in...

We study a general allocation setting where agent valuations are concave additive. In this model, collection of items must be uniquely distributed among set agents, each agent-item pair has specified utility. The objective is to maximize the sum valuations, which an arbitrary non-decreasing function agent's total additive This was studied by Devanur and Jain (STOC 2012) in online for divisible ...

Similar to variable selection in the linear regression model, selecting significant components in the popular additive regression model is of great interest. However, such components are unknown smooth functions of independent variables, which are unobservable. As such, some approximation is needed. In this paper, we suggest a combination of penalized regression spline approximation and group v...