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Bayesian Decision Theoretic Scale-Adaptive Estimation of a Log-Spectral Density
(Georgia Institute of Technology, 2003)
The problem of estimating the log-spectrum of a stationary Gaussian time series by Bayesianly induced shrinkage of empirical wavelet coefficients is studied. A model in the wavelet domain that accounts for distributional ...
Resampling hierarchical processes in the wavelet domain: A case study using atmospheric turbulence
(Georgia Institute of Technology, 2004-05-20)
There is a growing need for statistical methods that generate an ensemble of plausible realizations of a hierarchical process from a single run or experiment. The main challenge is how to construct such an ensemble in a ...
Classification of High Frequency Pupillary Responses using Schur Monotone Descriptors in Multiscale Domains
(Georgia Institute of Technology, 2004-09-21)
This paper addresses the problem of classifying users with different visual abilities based on their pupillary response data while performing computer-based tasks. Multiscale Schur Monotone (MSM) summaries of high frequency ...
Wavelet-Based Estimation of a Discriminant Function
(Georgia Institute of Technology, 2002)
In this paper we consider wavelet-based binary linear classifiers. Both consistency results and implementational issues are addressed. We show that under mild assumptions on the design density wavelet discrimination rules ...
Discussion on Antoniadis and Fan "Regularization of Wavelet Approximations"
(Georgia Institute of Technology, 2001-09)
Anestis Antoniadis and Janqing Fan deserve congratulations for a wonderful and illuminating paper. Links among wavelet-based penalized function estimation, model selection, and now actively explored wavelet-shrinkage ...
2-D Wavelet-Based Spectra with Application in Analysis of Geophysical Images
(Georgia Institute of Technology, 2006)
We propose a wavelet-based spectral method for estimating the (directional) Hurst parameter in isotropic and anisotropic non-stationary fractional Gaussian fields. The method can be applied to self-similar images and, in ...
Quantifying the Effects of Atmospheric Stability on the Multifractal Spectrum of Turbulence
(Georgia Institute of Technology, 2004)
Over the past decade, several studies suggested possible analogy between price dynamics in the foreign exchange market and atmospheric turbulent flows. Such analogies suggest that applications in business and industry can ...
Multiscale Forecasting Method using ARMAX Models
(Georgia Institute of Technology, 2004)
In this paper we propose a new forecasting methodology that comprises simultaneous level wise modeling in the wavelet domain. The WAW methodology (short for wavelet armax winters) uses three modeling strategies: ARMAX ...
Linear Feature Identification and Inference in Nano-Scale Images
(Georgia Institute of Technology, 2005)
In this paper a novel method for the analysis of straight line alignment of features in the images based on Hough and Wavelet transforms is proposed. The new method is designed to work specifically with nanoscale images, ...
Optimal testing in functional analysis of variance models
(Georgia Institute of Technology, 2002)
We consider the testing problem in a general functional analysis of variance model. We test the null hypotheses that the main effects and/or the interactions are zeros against the composite nonparametric alternative ...