A novel block prior is proposed for adaptive Bayesian estimation. The prior does not depend on the smoothness of the function or the sample size. It puts sufficient prior mass near the true signal and automatically concentrates on its effective dimension. A rateoptimal posterior contraction is obtained in a general framework, which includes density estimation, white noise model, Gaussian sequen...

I review some results of estimation of the power spectrum of density fluctuations from galaxy redshift surveys and discuss advances that may be possible with the Sloan Digital Sky Survey. I then examine the realities of power spectrum estimation in the presence of Galactic extinction, photometric errors, galaxy evolution, clustering evolution, and uncertainty about the background cosmology.

Motion parameters estimation is performed by using the local polynomial periodogram. The presented method provides the estimation of velocity and acceleration, simultaneously. It is appropriate for the motion parameters estimation in noisy sequences. Theoretical considerations are illustrated by numerical examples.

This paper presents the applications of Eigenvalues and Eigenvectors (as part of spectral decomposition) to analyze the bipartivity index of graphs as well as to predict the set of vertices that will constitute the two partitions of graphs that are truly bipartite and those that are close to being bipartite. Though the largest eigenvalue and the corresponding eigenvector (called the principal e...

Abstract: In this paper, the spectrum of a parallel repairable system with warm standby is investigated. Firstly, we formulate the problem into a suitable Banach space. Then we carry out a detailed spectral analysis of the system operator. Based on the spectral analysis and C0 semigroup theory, we prove the existence of positive solution and finite expansion of the solution corresponding to its...

In this paper we investigate the eigenvalues and the spectral singularities of non-selfadjoint q-difference equations of second order with spectral singularities. c © 2005 Elsevier Ltd. All rights reserved.

The deviation of the tuning frequency from the standard tuning frequency 440Hz is evaluated for a database of classical music. It is discussed if and under what circumstances such a deviation may affect the robustness of pitch-based systems for musical content analysis.

We study the global topology of the syntactic and semantic distributional similarity networks for English through the technique of spectral analysis. We observe that while the syntactic network has a hierarchical structure with strong communities and their mixtures, the semantic network has several tightly knit communities along with a large core without any such welldefined community structure.

We address the problem of autocorrelation-based single-tone frequency estimation. It has been shown that the frequency can be estimated from the phase of the available signal’s autocorrelation with fixed lag. A large lag results in better performance but at the same time limits the estimation range. New methods have been proposed to extend the estimation range. In this paper, a new estimator wh...