In this work, we show how to obtain for non-compact manifolds the results that have already been done for Monge Transport Problem for costs coming from Tonelli Lagrangians on compact manifolds. In particular, the already known results for a cost of the type dr , r > 1, where d is the Riemannian distance of a complete Riemannian manifold, hold without any curvature restriction.

In their recent article, Whittington et al. (2004) show that wolf packs increase their path sinuosity in the vicinity of roads and highly used trails. This path variable is defined as the relationship between the length of the path traveled (L) and the net displacement of the animal (R). The authors present a model that explains path sinuosity using the distance to prey and the density of roads...

This paper discusses an important issue for today’s mobile world striving sustainable development, namely ecotourism. The major objective of the study presented in this article was to carry out a comparative analysis conventional tourist trip along Kharkov (Ukraine)–Varna (Bulgaria) route electric car and by air transport. main criteria comparing two variants were cost price, time, mobility, in...

Correctly estimating the discrepancy between two data distributions has always been an important task in Machine Learning. Recently, Cuturi proposed the Sinkhorn distance [1] which makes use of an approximate Optimal Transport cost between two distributions as a distance to describe distribution discrepancy. Although it has been successfully adopted in various machine learning applications (e.g...

introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

This is an adoptive design of ant colony system and has been generalised to AGV transport system, predetermined targets replacement results has been evaluated simulating four AGV in Mat lab by Particle Algorithm and fuzzification and simulating the operative environment with regard to constant velocity and different results has been compared to each other by changing robots’ location and replac...

transport infrastructure is an important factorforthe spatialdistribution ofgoods, services andinnovationswithinand between regions, and also an important factorin locating andestablishingbusinessesinthe region. this research aims to analyze the effects of transportation infrustructure on industrial concentration in the iranian provinces. for this aim, we have specified econometrics models and ...