Probabilistic methods for data fusionThe main object of this paper is to show how we can use classical probabilistic methods such as Maximum Entropy (ME), maximum likelihood (ML) and/or Bayesian (BAYES) approaches to do microscopic and…A. Mohammad-Djafari·Nov 14, 2001SaveLearn
Shape reconstruction in X-ray tomography from a small number of projections using deformable modelsX-ray tomographic image reconstruction consists of determining an object function from its projections. In many applications such as non-destructive testing, we look for a fault region (air) in a…A. Mohammad-Djafari, Ken Sauer·Nov 14, 2001SaveLearn
Effect of nonstationarities on detrended fluctuation analysisDetrended fluctuation analysis (DFA) is a scaling analysis method used to quantify long-range power-law correlations in signals. Many physical and biological signals are ``noisy'',…Zhi Chen, Plamen Ch. Ivanov, Kun Hu et al.·Nov 12, 2001SaveLearn
Entropy in Signal Processing (Entropie en Traitement du Signal)Résumé: Le principal objet de cette communication est de faire une rétro perspective succincte de l'utilisation de l'entropie et du principe du maximum d'entropie dans le domaine du…Ali Mohammad-Djafari·Nov 6, 2001SaveLearn
Model selection for inverse problems: Best choice of basis functions and model order selectionA complete solution for an inverse problem needs five main steps: choice of basis functions for discretization, determination of the order of the model, estimation of the hyperparameters, estimation…A. Mohammad-Djafari·Nov 6, 2001SaveLearn
Bayesian source separation with mixture of Gaussians prior for sources and Gaussian prior for mixture coefficientsIn this contribution, we present new algorithms to source separation for the case of noisy instantaneous linear mixture, within the Bayesian statistical framework. The source distribution prior is…Hichem Snoussi, Ali Mohammad-Djafari·Nov 6, 2001SaveLearn
Penalized maximum likelihood for multivariate Gaussian mixtureIn this paper, we first consider the parameter estimation of a multivariate random process distribution using multivariate Gaussian mixture law. The labels of the mixture are allowed to have a…Hichem Snoussi, Ali Mohammad-Djafari·Nov 2, 2001SaveLearn
Bayesian inference for inverse problemsTraditionally, the MaxEnt workshops start by a tutorial day. This paper summarizes my talk during 2001'th workshop at John Hopkins University. The main idea in this talk is to show how the…Ali Mohammad-Djafari·Oct 31, 2001SaveLearn
Reconstruction of dynamical equations for traffic flowTraffic flow data collected by an induction loop detector on the highway close to Koeln-Nord are investigated with respect to their dynamics including the stochastic content. In particular we present…S. Kriso, R. Friedrich, J. Peinke et al.·Oct 29, 2001SaveLearn
Characterization of a Low Frequency Power Spectral Density f(-gamma) in a Threshold Modelhis study investigates the modifications of the thermal spectrum, at low frequency, induced by an external damping on a system in heat contact with internal fluctuating impurities. Those impurities…Erika D'Ambrosio·Oct 5, 2001SaveLearn
Stochastic models which separate fractal dimension and Hurst effectFractal behavior and long-range dependence have been observed in an astonishing number of physical systems. Either phenomenon has been modeled by self-similar random functions, thereby implying a…Tilmann Gneiting, Martin Schlather·Sep 13, 2001SaveLearn
On a quantitative method to analyse dynamical and measurement noiseThis letter reports on a new method of analysing experimentally gained time series with respect to different types of noise involved, namely, we show that it is possible to differentiate between…M. Siefert, J. Peinke, R. Friedrich·Aug 17, 2001SaveLearn
Quasi-optimal observables: Attaining the quality of maximal likelihood in parameter estimation when only a MC event generator is availableA new method of quasi-optimal observables allows one to approach the quality of data processing usually associated with the method of maximal likelihood within the simpler algorithmic context of…F. V. Tkachov·Aug 16, 2001SaveLearn
alphaPDE: A New Multivariate Technique for Parameter EstimationWe present alphaPDE, a new multivariate analysis technique for parameter estimation. The method is based on a direct construction of joint probability densities of known variables and the parameters…B. Knuteson, H. Miettinen, L. Holmstrom·Aug 1, 2001SaveLearn
Quantum ClusteringWe propose a novel clustering method that is based on physical intuition derived from quantum mechanics. Starting with given data points, we construct a scale-space probability function. Viewing the…David Horn, Assaf Gottlieb·Jul 25, 2001SaveLearn
Forecast and event control: On what is and what cannot be possibleConsequences of the basic and most evident consistency requirement-that measured events cannot happen and not happen at the same time-are shortly reviewed. Particular emphasis is given to event…Karl Svozil·Jun 11, 2001SaveLearn
Statistics of Atmospheric CorrelationsFor a large class of quantum systems the statistical properties of their spectrum show remarkable agreement with random matrix predictions. Recent advances show that the scope of random matrix theory…M. S. Santhanam, Prabir K. Patra·May 2, 2001SaveLearn
Strange Attractors in Multipath propagation: Detection and characterisationMultipath propagation of radio waves in indoor/outdoor environments shows a highly irregular behavior as a function of time. Typical modeling of this phenomenon assumes the received signal is a…C. Tannous, R. Davies, A. Angus·Apr 23, 2001SaveLearn
Complexity Through NonextensivityThe problem of defining and studying complexity of a time series has interested people for years. In the context of dynamical systems, Grassberger has suggested that a slow approach of the entropy to…William Bialek, Ilya Nemenman, Naftali Tishby·Mar 23, 2001SaveLearn
A Variational Formulation of Optimal Nonlinear EstimationWe propose a variational method to solve all three estimation problems for nonlinear stochastic dynamical systems: prediction, filtering, and smoothing. Our new approach is based upon a proper choice…Gregory L. Eyink·Mar 18, 2001SaveLearn
A Good Measure for Bayesian InferenceThe Gaussian theory of errors has been generalized to situations, where the Gaussian distribution and, hence, the Gaussian rules of error propagation are inadequate. The generalizations are based on…Hanns L. Harney·Mar 12, 2001SaveLearn
Effect of Trends on Detrended Fluctuation AnalysisDetrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-range power-law correlation exponents in noisy signals. Many noisy signals in real systems display trends, so…Kun Hu, Plamen Ch. Ivanov, Zhi Chen et al.·Mar 8, 2001SaveLearn
Deconvolution problems in x-ray absorption fine structureA Bayesian method application to the deconvolution of EXAFS spectra is considered. It is shown that for purposes of EXAFS spectroscopy, from the infinitely large number of Bayesian solutions it is…K. V. Klementev·Jan 30, 2001SaveLearn
Nonlinear limits to the information capacity of optical fiber communicationsThe exponential growth in the rate at which information can be communicated through an optical fiber is a key element in the so called information revolution. However, like all exponential growth…Partha P. Mitra, Jason B. Stark·Nov 7, 2000SaveLearn
Capacity of multivariate channels with multiplicative noise: I.Random matrix techniques and large-N expansions for full transfer matricesWe study memoryless, discrete time, matrix channels with additive white Gaussian noise and input power constraints of the form Yi = Σj Hij Xj + Zi, where Yi ,Xj and Zi are…Anirvan Mayukh Sengupta, Partha Pratim Mitra·Oct 31, 2000SaveLearn