A great variety of complex physical, natural and artificial systems are governed by statistical
distributions, which often follow a standard exponential function in the bulk, while their tail …

Over the last two decades, it has been argued that the Lorentz transformation mechanism,
which imposes the generalization of Newton's classical mechanics into Einstein's special …

Extracting physical parameters that cannot be directly measured from an observed data set
remains a great challenge in several fields of science and physics. In many of these …

The axiomatic structure of the κ-statistcal theory is proven. In addition to the first three
standard Khinchin–Shannon axioms of continuity, maximality, and expansibility, two further …

The study of cooling materials is essential to analyse the thermal properties of substances,
electronic devices, among many others. The physical law for describing the temporal …

Full-waveform inversion (FWI) is a powerful seismic imaging methodology to estimate
geophysical parameters that honour the recorded waveforms (observed data), and it is …

Seismic inversion is a central procedure for estimating subsurface physical parameters from
observed data. In geophysical applications, the seismic inversion is usually formulated as an …

The inference of physical parameters from measured data is essential for describing and
analysing several complex systems. In this regard, the inverse problem theory has been …

In an attempt to overcome the difficulties of the full waveform inversion (FWI), several
alternative objective functions have been proposed over the last few years. Many of them …

The conventional approach to data-driven inversion framework is based on Gaussian
statistics that presents serious difficulties, especially in the presence of outliers in the …