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Information Theory Based Estimator of the Number of Sources in a Sparse Linear Mixing Model
Information Theory Estimator of the Number of Sources Sparse Linear Mixing Model
2015/9/29
In this paper we present an Information Theoretic Estimator for the number of sources mutuallydisjoint in a linear mixing model. The approach follows the Minimum Description Length prescription and is...
Game arguments in computability theory and algorithmic information theory
Game arguments computability theory algorithmic information theory Logic
2012/4/17
We provide some examples showing how game-theoretic arguments can be used in computability theory and algorithmic information theory: unique numbering theorem (Friedberg), the gap between conditional ...
Analyzing Weighted $\ell_1$ Minimization for Sparse Recovery with Nonuniform Sparse Models\footnote{The results of this paper were presented in part at the International Symposium on Information Theory, ISIT 2009}
Analyzing Weighted $\ell_1$ Minimization Sparse Recovery International Symposium Information Theory
2010/12/8
In this paper we introduce a nonuniform sparsity model and analyze the performance of an optimized weighted ℓ1 minimization over that sparsity model. In particular, we focus on a model where the...
Information theory of quantum systems with some hydrogenic applications
information theory quantummechanics Fisher information Shannon entropy
2010/12/15
The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed.
Some Theorems on the Algorithmic Approach to Probability Theory and Information Theory
Algorithmic Approach to Probability Theory Information Theory
2010/12/14
Some Theorems on the Algorithmic Approach to Probability Theory and Information Theory.
We discuss a refinement of an inequality from Information Theory using other well known inequalities. Then we consider relationships between the logarithmic mean and inequalities of the geometric-arit...
Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory
Convex functions Jensen's Inequality Entropy Mappings
2008/7/1
Some new inequalities which counterpart Jensen's discrete inequality and improve the recent results from [20] and [22] are given. A related result for generalized means is established. Applications in...
On Some Applications of the AG Inequality in Information Theory
Arithmetic-Geometric Mean Kullback-Leibler Distances Shannon's Entropy
2008/6/27
Recently, S.S. Dragomir used the concavity property of the log mapping and the weighted arithmetic mean-geometric mean inequality to develop new inequalities that were then applied to Information Theo...