Institute of Information Theory and Automation

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Projects

Dept.: MTR Duration: 2021 - 2024
The goal of this project is the quantitative analysis of carbon reduction policies, namely Carbon Tax and Cap and Trade. For each of these policies, an optimal control model will be formulated; for Carbon Tax, the tax rate will serve as the control, for Cap and Trade, the controls will include the amounts of freely allocated allowances and the timing of their auctioning. In addition, import...
Dept.: MTR Duration: 2021 - 2024
We will propose a mathematically lucid setting for the derivation of reduced models from nonlinear continuum thermomechanics. We will justify linearized models in thermoviscoelasticity and viscoplasticity as limits of the nonlinear deformation theory employing variational convergence. We will also investigate lower-dimensional models as limit models of bulk structures subject to the injectivity...
Dept.: MTR Duration: 2021 - 2025
The aim of the project is to develop analytical tools to support the investigation of the locomotion of soft-bodied animals and robots, with a focus on limbless locomotion. Topics such as stabilization to limit cycles, optimal control and multiscale models will be studied.
Dept.: MTR Duration: 2021 - 2022
We will propose a mathematically lucid setting for the derivation of reduced models from nonlinear continuum thermomechanics. We will justify linearized models in thermoviscoelasticity and viscoplasticity as limits of the nonlinear deformation theory employing variational convergence. We will also investigate lower-dimensional models as limit models of bulk structures subject to the injectivity...
Dept.: MTR Duration: 2019 - 2021
The aim of the project is to apply the methods of polyhedral geometry to solve mathematical problems with motivation in statistics and artificial intelligence. The goals concern several areas: statistical learning graphical models of conditional independence structure, theory for application of graphical models, supermodular functions, secret sharing schemes, theory of cooperative games and...
Dept.: MTR Duration: 2019 - 2021
The project aims at advancing the mathematical modeling of nonlinear mechanical phenomena described by large strain deformations in three different directions. First, we will investigate effective simplified models for problems in materials science whose energetic formulations simultaneously involve both energy terms defined on the original stress-free configuration and energy contributions...
Dept.: MTR Duration: 2018 - 2020
Our research effort follows the current challenging problems of portfolio analysis and energy finance. In particular, we shall investigate sparse robust portfolio selection problems with non-smooth objectives and analyze the joint effects of sparsity and robustification using real stock exchange data. Also, we shall attempt at modeling the price of emission allowances and provide predictions...
Dept.: MTR Duration: 2018 - 2019
The goal of the project is to establish the research cooperation between the mutually complementary Taiwan and Czech research teams. The research is oriented to the development and verification of a new data mining technique based on probabilistic compositional models, the theory of which was developed by the Czech partner in the last decade. For this purpose, a new semi-supervised web...
Dept.: MTR Duration: 2018 - 2020
Graded properties are ubiquitous in human discourse and reasoning. They are characterized by the fact that they may apply with different intensity to different objects. Typical examples are vague properties (e.g. “tall” or “rich”), that is, those that do not establish a clear distinction between objects that satisfy them and those that do not, and hence have blurry boundaries and borderline cases...