Now showing items 3-22 of 32

    • Bayesian Decision Theoretic Scale-Adaptive Estimation of a Log-Spectral Density 

      Pensky, Marianna; Vidakovic, Brani (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 ...
    • Bayesian False Discovery Rate Wavelet Shrinkage: Theory and Applications 

      Lavrik, Ilya A.; Jung, Yoon Young; Ruggeri, Fabrizio; Vidakovic, Brani (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 ...
    • Bayesian Spherical Wavelet Shrinkage: Applications to Shape Analysis 

      Le Faucheur, Xavier; Vidakovic, Brani; Tannenbaum, Allen R. (Georgia Institute of Technology, 2007)
      Multiscale analysis has become a very useful tool in image processing and computer vision. Our work is motivated by the need to efficiently represent 3D shapes that exhibit a spherical topology. This note presents a wavelet ...
    • Classification of High Frequency Pupillary Responses using Schur Monotone Descriptors in Multiscale Domains 

      Shi, Bin; Moloney, Kevin P.; Pan, Ye; Emery, V. Kathlene; Vidakovic, Brani; Jacko, Julie A.; Sainfort, François (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 ...
    • Denoising Ozone Concentration Measurements with BAMS Filtering 

      Katul, Gabriel G.; Ruggeri, Fabrizio; Vidakovic, Brani (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 ...
    • Discussion on Antoniadis and Fan "Regularization of Wavelet Approximations" 

      Vidakovic, Brani (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 ...
    • The Effectiveness of Sealants in Managing Carious Lesions 

      Griffin, S. O.; Oong, E.; Kohn, W.; Vidakovic, Brani; Gooch, B. F.; Bader, J.; Clarkson, J.; Fontana, M. R.; Meyer, D. M.; Rozier, R. G.; Weintraub, J. A.; Zero, D. T. (Georgia Institute of Technology, 2007)
      A barrier to providing sealants is concern about inadvertently sealing over caries. The objective of this meta-analysis was to examine whether sealants are effective in preventing caries progression. Methods: Our search ...
    • Larger Posterior Mode Wavelet Thresholding and Applications 

      Cutillo, Luisa; Jung, Yoon Young; Ruggeri, Fabrizio; Vidakovic, Brani (Georgia Institute of Technology, 2005-07-01)
      This paper explores the thresholding rules induced by a variation of the Bayesian MAP principle. The MAP rules are Bayes actions that maximize the posterior. The proposed rule is thresholding and always picks the mode of ...
    • Linear Feature Identification and Inference in Nano-Scale Images 

      Lavrik, Ilya A.; Vidakovic, Brani (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, ...
    • Multifractal Discrimination Model of High-Frequency Pupil-diameter Measurements 

      Shi, Bin; Moloney, Kevin P.; Emery, V. Kathlene; Jacko, Julie A.; Sainfort, François; Vidakovic, Brani (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 ...
    • Multiscale Forecasting Method using ARMAX Models 

      Chen, Hongmei; Vidakovic, Brani; Mavris, Dimitri N. (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 ...
    • New Probabilistic Method for Estimation of Equipment Failures and Development of Replacement Strategies 

      Begović, Miroslav; Djuric, Petar; Perkel, Joshua; Vidakovic, Brani; Novosel, Damir (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 2006)
      When large amount of statistical information about power system component failure rate is available, statistical parametric models can be developed for predictive maintenance. Often times, only partial information is ...
    • On Bayesian estimation of multinomial probabilities under incomplete experimental information 

      Ramírez, Pepa; Vidakovic, Brani (Georgia Institute of Technology, 2007-05-28)
      In this note, we discuss Bayesian estimation of multinomial probabilities associated with a finite alphabet A, under incomplete experimental information. Two types of prior information are considered: (i) number of letters ...
    • Optimal testing in functional analysis of variance models 

      Antoniadis, Anestis; Vidakovic, Brani; Abramovich, Felix; Sapatinas, Theofanis (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 ...
    • Quantifying the Effects of Atmospheric Stability on the Multifractal Spectrum of Turbulence 

      Shi, Bin; Vidakovic, Brani; Katul, Gabriel G. (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 ...
    • Resampling hierarchical processes in the wavelet domain: A case study using atmospheric turbulence 

      Angelini, Claudia; Cava, Daniela; Katul, Gabriel G.; Vidakovic, Brani (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 ...
    • Self-similarity in NMR spectra: an application in assessing the level of cysteine 

      Jung, Yoon Young; Park, Youngja; Jones, Dean P.; Ziegler, Thomas R.; Vidakovic, Brani (Georgia Institute of Technology, 2007-01-15)
      High resolution of NMR spectroscopic data of biosamples are a rich source of information on the metabolic response to physiological variation or pathological events. There are many advantages of NMR techniques such as the ...
    • Testing Equality of Autocovariance Functions 

      Lund, Robert; Vidakovic, Brani; Vidyashankar, Anand N. (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 ...
    • Testing Equality of Stationary Autocovariances 

      Lund, Robert; Bassily, Hany; Vidakovic, Brani (Georgia Institute of Technology, 2007-08-09)
      This paper studies tests for assessing whether two stationary and independent time series have the same dynamics, specifically, whether the autocovariances of both series coincide at all lags. Several frequency domain ...
    • Two-Step Wavestrapping: Simulating Non-Stationary Acceleration Data in the Mobile Computing Context 

      Yi, Ji Soo; Jung, Yoon Young; Jacko, Julie A.; Sainfort, François; Vidakovic, Brani (Georgia Institute of Technology, 2005-12-16)
      Measurements of acceleration provide an important source of information in understanding and predicting the movements of mobile computer users. However, collecting acceleration data can require substantial time and resources ...