A new approach to mutual information
A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.
A new approach to mutual information. II
A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.
A new approach to the ElGamal encryption scheme
The ElGamal encryption scheme can be used for both digital signatures and encryption, and its security results from the difficulty of calculating discrete logarithms in a finite field. This algorithm usually works in a multiplicative group of GF(p) and in this case the progress in the discrete logarithm problem forces the users of such a basic ElGamal public key cryptosystem to permanently increase a prime modulus p in order to ensure the desired security. But the task of finding a multiplicative...
A new definition of the fuzzy set
The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.
A new formulation and solution of the sequencing problem: mathematical model
A new generalization of entropy and its characterization
A new high-speed foreign fiber detection system with machine vision.
A new lower bound for the football pool problem for matches
Let denote the minimum cardinality of a ternary code of length and covering radius one. In a previous paper, we improved on the lower bound by showing that . In this note, we prove that .
A new method for the nonlinear approximation of signals. I. The optimal damping factor
A new method for the nonlinear approximation of signals. II. The convergence problem
A new method of constructing a lattice basis and its applications to cryptanalyse short exponent RSA.
A New overlapping community detection algorithm based on similarity of neighbors in complex networks
Community detection algorithms help us improve the management of complex networks and provide a clean sight of them. We can encounter complex networks in various fields such as social media, bioinformatics, recommendation systems, and search engines. As the definition of the community changes based on the problem considered, there is no algorithm that works universally for all kinds of data and network structures. Communities can be disjointed such that each member is in at most one community or...
A new sphere packing in 20 dimensions.
A new table of constant weight codes of length greater than 28.
A new variational model for segmenting objects of interest from color images.
A non-convex diffusion model for simultaneous image denoising and edge enhancement.
A Nonlinear Parabolic Model in Processing of Medical Image
The image's restoration is an essential step in medical imaging. Several Filters are developped to remove noise, the most interesting are filters who permits to denoise the image preserving semantically important structures. One class of recent adaptive denoising methods is the nonlinear Partial Differential Equations who knows currently a significant success. This work deals with mathematical study for a proposed nonlinear evolution partial differential equation for image processing. The existence...
A nonnegatively constrained trust region algorithm for the restoration of images with an unknown blur.
A note on characterizations of entropies
A note on codes and kets.