The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...

This paper discusses efficient parameter estimation methods for joint (unconditional) maximum entropy language models such as whole-sentence models. Such models are a sound framework for formalizing arbitrary linguistic knowledge in a consistent manner. It has been shown that general-purpose gradient-based optimization methods are among the most efficient algorithms for estimating parameters of...

In the Robot Vision task, the participants are asked to answer where is the robot using its vision. The robot may be in 5 rooms (BO-One-person office, CR-Corridor, EO-Two-persons office, KT-Kitchen, PA-Printer Area). In order to train our models we structured the views of each room into several sub-classes: BO-inside, exit, enter; CR-enter, exit, leftstairs, nostairs, rightstairs; EO-enter, exi...

We demonstrate that nucleosynthesis in rapid, high-entropy expansions of proton-rich matter from high temperature and density can result in a wider variety of abundance patterns than heretofore appreciated. In particular, such expansions can produce iron-group nuclides, p-process nuclei, or even heavy, neutron-rich isotopes. Such diversity arises because the nucleosynthesis enters a little expl...

We consider a family of Gagliardo-Nirenberg-Sobolev interpolation inequalities which interpolate between Sobolev’s inequality and the logarithmic Sobolev inequality, with optimal constants. The difference of the two terms in the interpolation inequalities (written with optimal constant) measures a distance to the manifold of the optimal functions. We give an explicit estimate of the remainder t...

A long-standing issue in the Bayesian statistical approach to the phase problem in X-ray crystallography is to solve an entropy maxi-mization subproblem eeciently in every iteration of phase estimation. The entropy maximization problem is a semi-innnite convex program and can be solved in a nite dual space by using a standard Newton's method. However, the Newton's method is too expensive for th...

Maximum Entropy (ME) deconvolution has become a widely used approach for image restoration. Although it has many attractive features, its computational burden is considerably larger than for competing linear inversion techniques. The present work accelerates ME restoration by using linear techniques within theME framework and proposes a simple and fast algorithmwhich is applicable to low-noise ...

Fractal image compression gives some desirable properties like resolution independence, fast decoding, and very competitive rate-distortion curves. But still suffers from a (sometimes very) high encoding time, depending on the approach being used. This paper presents a method to reduce the encoding time of this technique by reducing the size of the domain pool based on the Entropy value of each...

We describe a non-parametric estimator for the differential entropy of a multidimensional distribution, given a limited set of data points, by a recursive rectilinear partitioning. The estimator uses an adaptive partitioning method and runs in Θ ( N log N ) time, with low memory requirements. In experiments using known distributions, the estimator is several orders of magnitude faster than othe...