Natural gradients have been widely used in the optimization of loss functionals over probability space, with important examples such as Fisher–Rao gradient descent for Kullback–Leibler divergence, Wasserstein transport-related functionals, and Mahalanobis quadratic functionals. This note considers situation which is a convex linear combination these examples. We propose new natural algorithm by...

In this paper we address the problem of measuring the degree of consensus/dissensus in a context where experts or agents express their opinions on alternatives or issues by means of cardinal evaluations. To this end we propose a new class of distance-based consensus model, the family of the Mahalanobis dissensus measures for profiles of cardinal values. We set forth some meaningful properties o...

Many applications in computer vision require robust linear regression on photogrammetrically reconstructed point clouds. Due to the modeling process from perspective images the uncertainty of an object point depends heavily on its location in object space w.r.t. the cameras. Standard algorithms for robust regression are based on distance measures from the regression surface to the points, but t...

In this paper, face recognition technique using Discrete Cosine Transform (DCT) is proposed. The local information of the face is extracted using block-based (DCT). The coefficients selected in each DCT block are fused to generate the feature image. This feature image is used for classification process. The face, recognition is then performed using Mahalanobis distance. The advantage of this te...

Nowadays, the design of the representation of images is one of the most crucial factors in the performance of visual categorization. A common pipeline employed in most of recent researches for obtaining an image representation consists of two steps: the encoding step and the pooling step. In this paper, we introduce the Mahalanobis metric to the two popular image patch encoding modules, Histogr...

This article discusses in detail the use of spatial references in electroacoustic music, which is the fourth of the five senses of space I identified in a broader investigation on the meaning of space in music, electroacoustic music and sound art. The expression space as reference refers to the use of the referential properties of sound to suggest or produce spatial impressions and associations...