In this paper, we describe a novel iterative procedure called SISTA to learn the underlying cost in optimal transport problems. SISTA is a hybrid between two classical methods, coordinate descent ("S"-inkhorn) and proximal gradient descent ("ISTA"). It alternates between a phase of exact...

In this paper, the Partial Distribution (PD) and multivariate Partial Distribution (MPD) are presented in their concepts, properties and applications, and PD is compared with the lognormal and the levy distribution. Though the levy distribution is better to describe the exchange returns in...

In this paper, we describe a novel iterative procedure called SISTA to learn the underlying cost in optimal transport problems. SISTA is a hybrid between two classical methods, coordinate descent ("S"-inkhorn) and proximal gradient descent ("ISTA"). It alternates between a phase of exact...

This work presents the rationale of multidimensional coordinate systems as the most effective visual tool to understand the behavior of any natural phenomenon from a multidimensional perspective. The main motivation behind the creation of multidimensional coordinate systems is to propose an...

Artificial intelligence (AI) is a key component in the field of antitrust, as it is utilized to analyze vast quantities of data with the aim of detecting indications of unjust business practices. This paper provides a comprehensive survey of the issue of algorithmic biases in computational...