The Koopman operator provides a linear description of non-linear systems exploiting an embedding into infinite dimensional space. Dynamic Mode Decomposition and Extended are amongst the most popular finite approximations Operator. In this paper we capture their core essence as dual version same problem, them Kernel framework. To do so, leverage RKHS suitable space for learning dynamics. Learnin...

In this paper, we address the classical problem of testing for stationarity in prices energy-related commodities. A panel fourteen time series monthly is analyzed 1980–2020 period. Nine are nonrenewable, GHG-emissions-intensive resources (coal, crude oil, natural gas), whereas remaining, low-emission group includes both uranium and four commodities employed biofuels (rapeseed, palm, soybean oil...

We consider the general problem of constructing nonparametric Bayesian models on infinite-dimensional random objects, such as functions, infinite graphs or infinite permutations. The problem has generated much interest in machine learning, where it is treated heuristically, but has not been studied in full generality in nonparametric Bayesian statistics, which tends to focus on models over prob...