The issue of microstate counting for general black holes in D = 5, N = 2 supergravity coupled to vector multiplets is discussed from various viewpoints. The statistical entropy is computed for the near-extremal case by using the central charge appearing in the asymptotic symmetry algebra of AdS2. Furthermore, we show that the considered supergravity theory enjoys a duality invariance which conn...

Statistical approaches to natural language parsing and interpretation have a number of advantages but thus far have failed to incorporate compositional generalizations found in traditional structural models. A major reason for this is the inability of most statistical language models being used to represent relational constraints, the connectionist variable binding problem being a prominent cas...

We derive a one-parametric family of entropy functions that respect the additivity condition, and which describe effects of finiteness of statistical systems, in particular, distribution functions with long tails. This one-parametric family is different from the Tsallis entropies, and is a convex combination of the Boltzmann-Gibbs-Shannon entropy and the entropy function proposed by Burg. An ex...

Relative Entropy-based pruning has been shown to be efficient for pruning language models for more than a decade ago. Recently, this method has been applied to Phrase-based Machine Translation, and results suggest that this method is comparable the state-of-art pruning method based on significance tests. In this work, we show that these 2 methods are effective in pruning different types of phra...

I review a new (and still tentative) approach to black hole thermodynamics that seeks to explain black hole entropy in terms of microscopic quantum gravitational boundary states induced on the black hole horizon. (Talk given at CAM ’95, joint meeting of the Canadian Association of Physicists, the American Physical Society, and the Mexican Physical Society, Quebec City, Canada.) ∗email: carlip@d...

The statistical entropy of black holes in M-theory is considered. Using the Matrix formulation of M-theory, we map the counting problem onto the original Gibbons-Hawking calculation of the thermodynamic entropy.

We suggest a certain statistical interpretation for the entropy produced in driven thermodynamic processes. The exponential function of the irreversible entropy re-weights the probability of the standard Ornstein-Uhlenbeck-type thermodynamic fluctuations. ∗E-mail: [email protected]

An iterative design algorithm for the joint design of complexityand entropy-constrained subband quantizers and associated entropy coders is proposed. Unlike conventional subband design algorithms, the proposed algorithm does not require the use of various bit allocation algorithms. Multistage residual quantizers are employed here because they provide greater control of the complexity-performanc...

introduction the chemical characteristic of groundwater as a major source of water supply for human life is an important factor in determining the usage of it for agriculture, industry and drinking. useful techniques and different methods of studying the chemical composition of groundwater such as correlation coefficient, descriptive statistics, factor analysis and cluster analysis provide an u...

Using the usual definitions of information and entropy in quantum gravity and statistical mechanics and the existing views about the relation between information and complexity, we examine the evolution of complexity in an ever expanding universe.