Entropy and Relative Entropy
Some Inequalities for the Relative Entropy and Applications
... In the recent paper [2], the authors proved between other the following upper bound for the relative entropy and employed it in Coding Theory in connection to Noiseless Coding Theorem:..[r] ...
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Newton Polytopes and Relative Entropy Optimization
... Abstract Newton polytopes play a prominent role in the study of sparse polynomial systems, where they help formalize the idea that the root structure underlying sparse polynomials of possibly high degree ought to still ...
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Hierarchical Relative Entropy Policy Search
... the entropy bound κ as well as the relative entropy bound ...The entropy bound κ is probably the most important parameter to consider since it does not have a clear equivalent in existing ...
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Model-based relative entropy stochastic search
... the relative entropy of two subsequent search ...the entropy of the new ...the entropy of the old search distribution such that MORE converges asymptotically to a point ...
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Improving Relative Entropy Pruning using Statistical Significance
... to relative entropy, implying that it is redundant, while the significance score is 300, because the phrase pair is well aligned, a uniform linear interpolation would give this phrase pair the score of ...
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Essays in Minimum Relative Entropy implementations for views processing
... Table 3.3: Non-parametric vs iterative MRE: bias, ine¢ ciency and error See also Figures 3.3 and 3.4. 3.6 Conclusions We investigated how minimum relative entropy models can be estimated in a non-parametric ...
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Financial Portfolios based on Tsallis Relative Entropy as the Risk Measure
... Tsallis relative entropy, which is the generalization of Kullback-Leibler relative entropy to non-extensive systems, is investigated as a possible risk measure in constructing risk optimal ...
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Signomial and polynomial optimization via relative entropy and partial dualization
... For many years these abstract differences between signomials and polynomials have coincided with algorithmic disparities. Contemporary methods for signomial programming use some combination of local linearization, ...
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Boundary Relative Entropy as Quasilocal Energy: Positive Energy Theorems and Tomography
... the relative entropy associated to a spherical boundary region can be viewed as a form of quasi-local energy, in the precise sense defined by ...by relative entropy map to an infinite family ...
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Hierarchical relative entropy policy search
... the entropy outperforms the two other ...the entropy is clearly bet- ter than the REPS approach, as REPS only uses one option to cover the whole state ...
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Some Upper Bounds for Relative Entropy and Applications
... The entropy of a random variable is a measure of the uncertainty of the random variable; it is a measure of the amount of information required on the average to describe the random ...
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Relative Entropy and Entropy Production for Equilibrium States in pAQFT
... the relative entropy we give below in (11) survives the thermodynamical limit (h → 1) if spacelike densities are considered, however, it can only be tested among the perturbatively constructed KMS states ...
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Forecasting using relative entropy
... Using Relative Entropy INTRODUCTION One of the frustrations of macroeconometric modeling and policy analysis is that empirical models that forecast well are typically nonstructural, yet making the kinds of ...
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On the nature and decay of quantum relative entropy
... Chapter 8 Conclusions and Outlook Applications of information-theoretic techniques to physics and mathematics questions are recently grow- ing, as are applications of operator algebra techniques to information theory. ...
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An Inequality for Logarithmic Mapping and Applications for the Relative Entropy
... APPLICATIONS FOR THE RELATIVE ENTROPY S.S. DRAGOMIR Abstract. Using the concavity property of the log mapping and the weighted arithmetic mean - geometric mean inequality, we point out an analytic inequal- ...
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Estimation of Distribution Algorithms and Minimum Relative Entropy
... The following chapters contain the main contributions of this thesis. Chapter 5 presents manipulations of a factorization graph in order to capture more dependen- cies in FDA, and the application of the maximum ...
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Stochastic models for finance and insurance: relative entropy
... The aim of this chapter is to give an introduction to the problem of the min- imal entropy martingale measures (MEMM). The chapter is based on results of Frittelli (2000) which are natural generalizations of ideas ...
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Deep Supervised Hashing using Symmetric Relative Entropy
... symmetric relative entropy, the Jensen-Shannon (JS) divergence, which is both symmetric and has a finite value, to minimize the distri- bution distance between the sources of the original image data and the ...
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A note on operator inequalities of Tsallis relative operator entropy
... Neumann entropy S(ρ) ≡ T r[H(ρ)] as λ → 0. It is remarkable that R´ enyi entropy (which is also called α entropy) [13] 1−α 1 log P x p(x) α has also the concavity in p(x) for the limited region of ...
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Generalized Shannon inequalities based on Tsallis relative operator entropy
... the relative operator entropy was defined by Fujii and Kamei [ 3 ...type relative entropy but also the prop- erties before taking a trace, namely, Tsallis type relative operator ...
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