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Extensions of Dirac Chord Method with Quasi-Probability Distributions
Extensions Dirac Chord Method
2011/1/4
Dirac chord method may be used in many areas of physics for calculation of specific six-dimensional integrals for a convex body using probability density of chord length distribution. Attempts to appl...
A New Formula for the BER of Binary Modulations with Dual-Branch Selection over Generalized-K Composite Fading Channels
Formula the BER of Binary Modulations Dual-Branch Selection Channels
2011/1/4
Error performance is one of the main performance measures and derivation of its closed-form expression has proved to be quite involved for certain systems. In this letter, a unified closed-form expres...
Dos and don'ts of reduced chi-squared
reduced chi-squared Instrumentation and Methods for Astrophysics
2011/1/4
Reduced chi-squared is a very popular method for model assessment, model comparison, convergence diagnostic, and error estimation in astronomy. In this manuscript, we discuss the pitfalls involved in ...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Linearization effect multifractal analysis Random Energy Model analysis
2011/1/4
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Non-Gaussian gravitational clustering field statistics
Non-Gaussian gravitational clustering field statistics
2011/1/4
In this work we investigate the multivariate statistical description of the matter distribution in the nonlinear regime. We introduce the multivariate Edgeworth expansion of the lognormal distribution...
A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels
MGF-Based Capacity Analysis Diversity Combiners Generalized Fading Channels
2011/1/4
Unified exact average capacity results for L-branch coherent diversity receivers including equal-gain combining (EGC) and maximal-ratio combining (MRC) are not known. This paper develops a novel gener...
We show how the shared information between the past and future---the excess entropy---derives from the components of directional information stored in the present---the predictive and retrodictive cau...
We derive an upper bound for the mean of the supremum of the empirical process indexed by a class of functions that are known to have variance bounded by a small constant $\delta$. The bound is expres...
Convergence of distributed asynchronous learning vector quantization algorithms
distributed asynchronous vector quantization algorithms
2011/1/4
Motivated by the problem of effectively executing clustering algorithms on very large data sets, we address a model for large scale distributed clustering methods. To this end, we briefly recall some ...
We consider adaptive system identification problems with convex constraints and propose a family of regularized Least-Mean-Square (LMS) algorithms. We show that with a properly selected regularization...
The problem of filtering of finite--alphabet stationary ergodic time series is considered. A method for constructing a confidence set for the (unknown) signal is proposed, such that the resulting set ...
Extended Generalized-K (EGK): A New Simple and General Model for Composite Fading Channels
Extended Generalized-K General Model
2011/1/4
In this paper, we introduce a generalized composite fading distribution (termed extended generalized-K (EGK)) to model the envelope and the power of the received signal in millimeter wave (60 GHz or a...
Time and category information in pattern-based codes
category information pattern-based codes
2011/1/4
Sensory stimuli are usually composed of different features (the what) appearing at irregular times (the when). Neural responses often use spike patterns to represent sensory information. The what is h...
Mapping gravitational lensing of the CMB using local likelihoods
Mapping gravitational lensing the CMB local likelihoods
2011/1/4
We present a new estimation method for mapping the gravitational lensing potential from observed CMB intensity and polarization fields. Our method uses Bayesian techniques to estimate the average curv...
We consider a class of sparsity-inducing regularization terms based on submodular functions. While earlier work has focused on non-decreasing functions, we explore symmetric submodular functions and t...