Biomedical Engineering Technical Reports : Recent submissions
Now showing items 1-20 of 32
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Uncertainty Analysis in Using Markov Chain Model to Predict Roof Life Cycle Performance
(Georgia Institute of Technology, 2005)Making decisions on building maintenance policies is an important topic in facility management. To evaluate different maintenance policies and make rational selection, both performance and maintenance cost of building ... -
Wavelet Functional ANOVA, Bayesian False Discovery Rate, and Longitudinal Measurements of Oxygen Pressure in Rats
(Georgia Institute of Technology, 2000)Linear models can be functional in terms of independent or response variables or both. In functional ANOVA-type models often used to model longitudinal measurements and general time series, however, all components have a ... -
Discussion on Antoniadis and Fan "Regularization of Wavelet Approximations"
(Georgia Institute of TechnologyAmerican Statistical Association, Alexandria, VA, 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 ... -
Denoising Ozone Concentration Measurements with BAMS Filtering
(Georgia Institute of Technology, 2001)We propose a method for filtering self-similar geophysical signals corrupted by an antoregressive noise using a combination of non-decimated wavelet transform and a Bayesian model. In the application part, we consider ... -
Wavelet Estimation of a Baseline Signal From Repeated Noisy Measurements by Vertical Block Shrinkage
(Georgia Institute of Technology, 2001)In this paper a new wavelet shrinkage technique is proposed and investigated. When data consist of a multiplicity of related noisy signals, we propose a wavelet-based shrinkage estimation procedure to summarize all data ... -
Wavelet Bayesian Block Shrinkage via Mixtures of Normal-Inverse Gamma Priors
(Georgia Institute of Technology, 2001)In this paper we propose a block shrinkage method in the wavelet domain for estimating an unknown function in the presence of Gaussian noise. This shrinkage utilizes an empirical Bayes, block-adaptive approach that accounts ... -
Γ -Minimax Wavelet Shrinkage: A Robust Incorporation of Information about Energy of a Signal in Denoising Applications
(Georgia Institute of Technology, 2001)In this paper we propose a method for wavelet- filtering of noisy signals when prior information about the energy of the signal of interest is available. Assuming the independence model, according to which the wavelet ... -
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 ... -
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 ... -
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 ... -
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 ... -
Multifractal Discrimination Model of High-Frequency Pupil-diameter Measurements
(Georgia Institute of Technology, 2003-10-10)Multifractality present in high frequency pupil diameter measurements, usually connected with irregular scaling behavior and self-similarity, is modeled with statistical accuracy. A multifractal spectrum is used to ... -
Wavelet-based Data Reduction Techniques for Process Fault Detection
(Georgia Institute of Technology, 2004)To handle potentially large and complicated nonstationary data curves, this article presents new data reduction methods based on the discrete wavelet transform. The methods minimize objective functions to balance the ... -
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 ... -
Assessing the Effects of Atmospheric Stability on the Inertial Subrange of Surface Layer Turbulence using Local and Global Multiscale Approaches
(Georgia Institute of Technology, 2004-06-19)The conceptual framework for modeling the inertial subrange is strongly influenced by the Richardson cascade, now the subject of various reinterpretations. One apparent departure from the Richardson cascade is attributed ... -
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 ... -
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 ... -
Testing Equality of Autocovariance Functions
(Georgia Institute of Technology, 2004-09-22)This paper introduces a simple frequency domain test to discern whether two stationary time series have the same autocovariance function. The driving idea is that two stationary short-memory autocovariances coincide over ... -
Bayesian False Discovery Rate Wavelet Shrinkage: Theory and Applications
(Georgia Institute of Technology, 2005)Statistical inference in the wavelet domain remains vibrant area of contemporary statistical research because desirable properties of wavelet representations and the need of scientific community to process, explore, and ... -
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, ...