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Data Analysis papers — page 137

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Role and meaning of subjective probability: some comments on common misconceptions
Criticisms of so called `subjective probability' come on the one hand from those who maintain that probability in physics has only a frequentistic interpretation, and, on the other, from those who…
G. D'AgostiniOct 26, 2000
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Optimal Recovery of Local Truth
Probability mass curves the data space with horizons. Let f be a multivariate probability density function with continuous second order partial derivatives. Consider the problem of estimating the…
Carlos C. RodriguezOct 25, 2000
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Confidence intervals for the parameter of Poisson distribution in presence of background
A results of numerical procedure for construction of confidence intervals for parameter of Poisson distribution for signal in the presence of background which has Poisson distribution with known…
S. I. Bityukov, N. V. KrasnikovOct 24, 2000
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Computer simulation approach to reliability and accuracy in EXAFS structural determinations
The frequency distribution of different parameters of an EXAFS spectrum can be directly sampled by analysing a population of simulated spectra produced by adding computer-generated noise to a…
Paolo Ghigna, Melissa di Muri, Giorgio SpinoloOct 19, 2000
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Maximally Informative Statistics
In this paper we propose a Bayesian, information theoretic approach to dimensionality reduction. The approach is formulated as a variational principle on mutual information, and seamlessly addresses…
David R. Wolf, Edward I. GeorgeOct 15, 2000
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On the Confidence Interval for the parameter of Poisson Distribution
The possibility of construction of continuous analogue of Poisson distribution with the search of bounds of confidence intervals for parameter of Poisson distribution is discussed. Also, in the…
S. I. Bityukov, N. V. Krasnikov, V. A. TaperechkinaSep 12, 2000
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Bayesian Blocks: Divide and Conquer, MCMC, and Cell Coalescence Approaches
Identification of local structure in intensive data -- such as time series, images, and higher dimensional processes -- is an important problem in astronomy. Since the data are typically generated by…
Jeffrey D. ScargleSep 9, 2000
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Information theory and learning: a physical approach
We try to establish a unified information theoretic approach to learning and to explore some of its applications. First, we define predictive information as the mutual information between the…
Ilya NemenmanSep 8, 2000
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Slice Sampling
Markov chain sampling methods that automatically adapt to characteristics of the distribution being sampled can be constructed by exploiting the principle that one can sample from a distribution by…
Radford M. NealSep 7, 2000
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A Generalization of the Maximum Noise Fraction Transform
A generalization of the maximum noise fraction (MNF) transform is proposed. Powers of each band are included as new bands before the MNF transform is performed. The generalized MNF (GMNF) is shown to…
Christopher GordonSep 5, 2000
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Predictability, complexity and learning
We define predictive information I pred (T) as the mutual information between the past and the future of a time series. Three qualitatively different behaviors are found in the limit of…
William Bialek, Ilya Nemenman, Naftali TishbyJul 20, 2000
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Estimating the K-function of a point process with an application to cosmology
Motivated by the study of an important data set for understanding the large-scale structure of the universe, this work considers the estimation of the reduced second moment function, or K-function,…
Michael L. Stein, Jean M. Quashnock, Ji Meng LohJun 19, 2000
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A path-integral approach to the collisionless Boltzmann gas
On contrary to the customary thought, the well-known ``lemma'' that the distribution function of a collisionless Boltzmann gas keeps invariant along a molecule's path represents not the…
C. Y. ChenJun 12, 2000
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Singularities in kinetic theory
It is revealed that distribution functions of practical gases relate to singularities and such singularities can, with molecular motion, spread to the entire region of interest. It is also shown that…
C. Y. ChenJun 7, 2000
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Applying MDL to Learning Best Model Granularity
The Minimum Description Length (MDL) principle is solidly based on a provably ideal method of inference using Kolmogorov complexity. We test how the theory behaves in practice on a general problem in…
Qiong Gao, Ming Li, Paul VitanyiMay 23, 2000
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The information bottleneck method
We define the relevant information in a signal x∈ X as being the information that this signal provides about another signal y∈ . Examples include the information that face images provide…
Naftali Tishby, Fernando C. Pereira, William BialekApr 24, 2000
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A Comment on the Roe-Woodroofe Construction of Poisson Confidence Intervals
We consider the Roe-Woodroofe construction of confidence intervals for the case of a Poisson distributed variate where the mean is the sum of a known background and an unknown non-negative signal. We…
Mark Mandelkern, Jonas SchultzApr 21, 2000
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Tsallis' entropy maximization procedure revisited
The proper way of averaging is an important question with regards to Tsallis' Thermostatistics. Three different procedures have been thus far employed in the pertinent literature. The third one,…
S. Martinez, F. Nicolas, F. Pennini et al.Mar 29, 2000
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XAFS spectroscopy. II. Statistical evaluations in the fitting problems
The problem of error analysis is addressed in stages beginning with the case of uncorrelated parameters and proceeding to the Bayesian problem that takes into account all possible correlations when a…
K. V. KlementevMar 28, 2000
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XAFS spectroscopy. I. Extracting the fine structure from the absorption spectra
Three independent techniques are used to separate fine structure from the absorption spectra, the background function in which is approximated by (i) smoothing spline. We propose a new reliable…
K. V. KlementevMar 28, 2000
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Bayesian Field Theory: Nonparametric Approaches to Density Estimation, Regression, Classification, and Inverse Quantum Problems
Bayesian field theory denotes a nonparametric Bayesian approach for learning functions from observational data. Based on the principles of Bayesian statistics, a particular Bayesian field theory is…
J. C. LemmMar 7, 2000
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On mixing times for stratified walks on the d-cube
Using the electric and coupling approaches, we derive a series of results concerning the mixing times for the stratified random walk on the d-cube, inspired in the results of Chung and Graham (1997)…
Nancy L. Garcia, Jose L. PalaciosMar 2, 2000
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The Equilibrium Distribution of Gas Molecules Adsorbed on an Active Surface
We evaluate the exact equilibrium distribution of gas molecules adsorbed on an active surface with an infinite number of attachment sites. Our result is a Poisson distribution having mean $X = μP…
Stephen L. Adler, Indrajit MitraMar 1, 2000
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Nonlinear denoising of transient signals with application to event related potentials
We present a new wavelet based method for the denoising of event related potentials ERPs), employing techniques recently developed for the paradigm of deterministic chaotic systems. The…
A. Effern, K. Lehnertz, T. Schreiber et al.Jan 28, 2000
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Wavelet Analysis of Solar Activity
Using wavelet analysis approach, the temporal variations of solar activity on time scales ranging from days to decades, are examined from the daily time series of sunspot numbers. A hierarchy of…
Stefano SelloJan 20, 2000
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