Institute of Information Theory and Automation

You are here

Projects

Dept.: SI Duration: 2021 - 2023
We want to conduct some meaningful and fruitful research into multivariate nonparametric econometrics. In particular, we intend (a) to come up with an exchangeability test based on integrated rank scores, (b) to come up with tests based on new multivariate ranks and signs, (c) to describe and model multivariate volatility by means of quantile regression for vector responses, (d) to introduce new...
Dept.: SI Duration: 2020 - 2022
In interacting stochastic models, simple rules on the local level can give rise to complex behaviour on large scales. A natural way to study this phenomenon is through scaling limits and examination of the corresponding asymptomatic behaviour. Sometimes, randomness is present even at the macroscopic level, motivating the study of random continuum models. In other cases, the fluctuations live on a...
Dept.: SI Duration: 2019 - 2021
The project is aimed at research in the field of stochastic partial differential equations (SPDEs), in particular, at the qualitative behaviour of solutions and optimal control thereof. Also, some related space-time systems (Brownian web) arising as a continuum limit of discrete random systems will be studied. More specifically, the following topics will be emphasized: 1. Non - Markovian...
Dept.: SI Duration: 2017 - 2019
Dept.: SI Duration: 2017 - 2019
We want to conduct some meaningful and fruitful econometric research into multiple-output regression quantiles and related concepts of nonparametric statistics. In particular, we intend (a) to explore the use of directional and elliptical (regression) quantiles for statistical inference, (b) to generalize the elliptical (regression) quantiles in a few ways, (c) to overcome related...
Dept.: SI Duration: 2015 - 2017
Dept.: SI Duration: 2014 - 2016
We want to conduct some meaningful and fruitful econometric research into multivariate regression quantiles. In particular, we intend (a) to define and investigate new multivariate (regression) quantiles, especially elliptical (regression) quantiles and (regression) quantiles defined by means of polar or spherical coordinate systems (b) to explore asymptotic properties and usefulness of some...
Dept.: SI Duration: 2014 - 2016
The word “TENSOR” in this project is understood as a multidimensional linear array of a rectangular shape, whose entries are either real or complex numbers. Such data structures are encountered, e.g., in chemometrics, telecommunication, biomedicine (fMRI, EEG) , data mining, kinetic theory of descriptions of materials, and so on. Canonical polyadic (CP) decomposition is a decomposition of a...