Gaussian mixture model or Gaussian mixture density model(GMM) uses the likelihood function as a measure of fit. We show that just the same algorithm as the GMM can be derived from a modified objective function of Fuzzy c-Means (FCM) clustering with the regularizer by K-L information, only when the parameter λ equals 2. Although the fixed-point iteration scheme of FCM is similar to that of the G...

in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal w...

This paper applies both the neural network and adaptive neuro-fuzzy inference system for forecasting short-term chaotic traffic volumes and compares the results. The architecture of the neural network consists of the input vector, one hidden layer and output layer. Bayesian regularization is employed to obtain the effective number of neurons in the hidden layer. The input variables and target o...

Regulating deep neural networks (DNNs) with human structured knowledge has shown to be of great benefit for improved accuracy and interpretability. We develop a general framework that enables learning knowledge and its confidence jointly with the DNNs, so that the vast amount of fuzzy knowledge can be incorporated and automatically optimized with little manual efforts. We apply the framework to...

The objective function of the original (fuzzy) c-mean method is modified by a regularizing functional in the form of total variation (TV) with regard to gradient sparsity, and a regularization parameter is used to balance clustering and smoothing. An alternating direction method of multipliers in conjunction with the fast discrete cosine transform is used to solve the TV-regularized optimizatio...

This is a review paper .Review is carried out in two directions. Firstly, a survey is done to know to know the work done on TEM images and secondly to know how and where the basic filters which led to the evolution of number of other filters are being used in number of applications over the years and the effect of these denoising filters on normal images over the years. I. USAGE AND WORK DONE O...

This article analyzes a regularized set of fuzzy differential equations with respect to an uncertain parameter. We provide sufficient conditions for the correctness new regularization scheme. For resulting family equations, following properties are analyzed, and efficient criteria proposed: successive approximations, continuity, global existence solutions, approximate solutions in autonomous ca...

We consider the matrix regularization of scalar fields on a Riemann surface with general gauge-field background. propose construction fuzzy version Laplacian.Received 23 March 2021Accepted 30 April 2021DOI:https://doi.org/10.1103/PhysRevD.103.126003Published by American Physical Society under terms Creative Commons Attribution 4.0 International license. Further distribution this work must maint...

Abstract Microgrids (μ-grids) are gaining increased interest around the world for supplying cheap and clean energy. In this paper, a μ-grid comprising wind turbine generator (WTG) diesel (DG) is considered. It one of most practical demanding systems suitable present energy crisis in isolated or rural areas. However, intermittent nature while load demand changes frequently. Therefore, µ-grid can...