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- Yuri M. Suhov, Izabella Stuhl, Salimeh Yasaei Sekeh, Mark Kelbert
- ArXiv
- 2015

A number of simple inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities. 1 The weighted Gibbs inequality and its consequences The definition and initial results on weighted entropy were introduced in [1, 14]. Further progress was made, subsequently, in [27, 9, 17, 26, 28, 34, 18],… (More)

- Kevin R. Moon, Morteza Noshad, Salimeh Yasaei Sekeh, Alfred O. Hero
- 2017 IEEE International Conference on Acoustics…
- 2017

Information theoretic measures (e.g. the Kullback Liebler divergence and Shannon mutual information) have been used for exploring possibly nonlinear multivariate dependencies in high dimension. If these dependencies are assumed to follow a Markov factor graph model, this exploration process is called structure discovery. For discrete-valued samples,… (More)

A number of inequalities for the weighted entropies is proposed, mirroring properties of a standard (Shannon) entropy and related quantities. 2000 MSC. 60A10, 60B05, 60C05

- Yuri M. Suhov, Salimeh Yasaei Sekeh
- ArXiv
- 2015

We analyse an analog of the entropy-power inequality for the weighted entropy. In particular, we discuss connections with weighted Lieb‘s splitting inequality and an Gaussian additive noise formula. Examples and counterexamples are given, for some classes of probability distributions.

- Morteza Noshad, Kevin R. Moon, Salimeh Yasaei Sekeh, Alfred O. Hero
- 2017 IEEE International Symposium on Information…
- 2017

We propose a direct estimation method for Rényi and f-divergence measures based on a new graph theoretical interpretation. Suppose that we are given two sample sets X and Y, respectively with N and M samples, where η := M/N is a constant value. Considering the k-nearest neighbor (k-NN) graph of Y in the joint data set (X, Y), we show… (More)

- Yuri M. Suhov, Salimeh Yasaei Sekeh
- ArXiv
- 2015

The aim of this paper is to analyze the weighted KyFan inequality proposed in [11]. A number of numerical simulations involving the exponential weighted function is given. We show that in several cases and types of examples one can imply an improvement of the standard KyFan inequality.

- Yuri M. Suhov, Salimeh Yasaei Sekeh, Izabella Stuhl
- ArXiv
- 2015

We produce a series of results extending information-theoretical inequalities (discussed by Dembo–Cover–Thomas in 1989-1991) to a weighted version of entropy. The resulting inequalities involve the Gaussian weighted entropy; they imply a number of new relations for determinants of positive-definite matrices.

- Fabio Bellini, Franco Pellerey, Carlo Sgarra, Salimeh Yasaei Sekeh
- J. Applied Probability
- 2014

We propose the following definition which we call the double truncated (interval) weighted cumulative residual entropy (IWCRE) IEw φ (t1, t2) and the double truncated (interval) weighted cumulative entropy (IWCE) IE w φ(t1, t2) of a RV X|t1 < X < t2: Department of Statistics, Federal University of São Carlos (UFSCar), São Carlos, Brazil. E-mail:… (More)

- Salimeh Yasaei Sekeh
- ArXiv
- 2015

In this paper the author analyzes the weighted Renyi entropy in order to derive several inequalities in weighted case. Furthermore, using the proposed notions α-th generalized deviation and (α, p)-th weighted Fisher information, extended versions of the moment-entropy, Fisher information and Cramér-Rao inequalities in terms of generalized Gaussian densities… (More)