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Department of Decision-Making Theory

Head
Prof. RNDr. Martin Kružík, Ph.D. DSc.
Deputy head
Ing. Jiří Vomlel, Ph.D.
Secretary
Marie Kolářová
Phone
286581419
Publications ÚTIA
list

Most of the research activities of the department belong to the field of applied mathematics. The focus is on theoretical problems as well as problems connected with implementation of methods in the following areas:

  • mathematical optimization
  • nonsmooth analysis
  • differential equations
  • variational problems
  • probabilistic models of decision support systems
  • conditional independence structures
  • uncertainty in artificial intelligence
  • mathematical logic
  • multicriteria decision making

Former members of the department.

Submitted by admin on
RNDr. Michal Červinka Ph.D.
Prof. László Csirmaz Ph.D.
RNDr. Anna Doležalová Ph.D.
Dr. Marouan Handa
Ing. Martin Horák Ph.D.
Prof. Radim Jiroušek DrSc.
Prof. RNDr. Michal Kočvara DrSc.
Marie Kolářová
Ing. Václav Kratochvíl Ph.D.
PD Dr. Stefan Krömer
Prof. RNDr. Martin Kružík Ph.D. DSc.
Mgr. Alexej Moskovka
Doc. Ing. Jiří Outrata DrSc.
Mgr. Iván Leonardo Pérez Cabrera
Mgr. Miroslav Pištěk Ph.D.
Ing. Martin Plajner Ph.D.
Ing. Martin Rod
RNDr. Tomáš Roubal Ph.D.
RNDr. Martin Šmíd Ph.D.
RNDr. Milan Studený DrSc.
Ing. Marek Tyburec Ph.D.
Doc. Ing. Jan Valdman Dr.
Ing. Jiří Vomlel Ph.D.

Martin Kružík byl jmenován profesorem

Prezident republiky Petr Pavel předal ve středu 21. června ve Velké aule Karolina jmenovací dekrety novým profesorkám a profesorům. Profesorem pro obor matematika – matematické modelování a numerická matematika byl jmenován vedoucí oddělení MTR Martin Kružík.

Úspěch stážistů ÚTIA v projektu Otevřená věda

Stážisté Adam Hobza, Ondřej Vašátko a Tadeáš Zíka se umístili na třetím místě ve vědní oblasti o neživé přírodě na závěrečné konferenci projektu Akademie věd ČR pro studenty středních škol Otevřená věda. Tito studenti absolvovali v našem ústavu stáž na téma "Bayesovská síť jako mozek umělé inteligence" pod vedením Jiřího Vomlela.

The Award of the Czech Academy of Sciences for Jiří Outrata

Jiří Outrata received the Award of the Czech Academy of Sciences for outstanding results in science, experimental research and innovations based on his achieved results in mathematical analysis of the so-called non-smooth and multivalued mappings. These results contribute to further advances of scientific field of mathematics as well as numerous applications in economics and industry.

 

University of Ballarat Adjunct Professorship for Jiří Outrata

Doc. Ing. Jiří Outrata, DrSc. has been awarded a University of Ballarat Adjunct Professorship, School of Science, Information Technology and Engineering, Australia.

Prémii Otto Wichterleho v r. 2009 získal Tomáš Kroupa

Akademická rada Akademie věd ČR, na základě návrhu poroty pro udělování Prémií Otto Wichterleho mladým vědeckým pracovníkům v AV ČR, udělila Prémii Otto Wichterleho v roce 2009

Ing. Tomáši Kroupovi, Ph.D.

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Medaile Bernarda Bolzana udělena Jiřímu Outratovi

Čestnou oborovou medaili Bernarda Bolzana převzal 24. září 2007 doc. Jiří V. Outrata. Nejlepších výsledků dosáhl v oblasti, která se dnes nejčastěji označuje pojmem moderní variační analýza. Obsahuje moderní výsledky dosažené při studiu složitých úloh, jež se vyskytují při řešení praktických problémů: optimalizačních úloh, variačních nerovností a ekvilibrií, které se týkají především nehladkých funkcí a mnohoznačných zobrazení.

Hlávkova cena 2005 udělena Tomáši Kroupovi

Hlávkovu cenu pro mladé vědecké pracovníky získal v roce 2005

Ing. Tomáš Kroupa, Ph.D.

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Cena je určena pro talentované studenty v bakalářském, magisterském nebo doktorském studiu, kteří prokázali výjimečné schopnosti a tvůrčí myšlení ve svém oboru, do 33 let jejich věku.

Prémie Otto Wichterleho 2003 udělena Martinu Kružíkovi

Akademická rada Akademie věd ČR, na základě návrhu poroty pro udělování Prémií Otto Wichterleho mladým vědeckým pracovníkům v AV ČR, udělila Prémii Otto Wichterleho v roce 2003

RNDr. Martinovi Kružíkovi, Ph.D.

z Ústavu teorie informace a automatizace.

The 13th Workshop on Uncertainty Processing - WUPES 2025

A series of Workshops on Uncertainty Processing (WUPES) has been held in the Czech Republic every third year since 1988. Proceedings from several previous workshops can be found on their websites (WUPES'22, WUPES'18, WUPES'15, WUPES'12, WUPES'09, and WUPES'06).

Winter school of MTR, 2025

The Winter School of the Department of Decision-Making Theory is a well-established gathering of students and researchers from the department, collaborating researchers from several Czech institutions, and international guests. This year, it is organized by Tomáš Roubal, M. Studený, and J. Outrata. The scientific program reflects the research interests of the MTR UTIA department and our invited guests.

Coupled dissipative processes and deformation mechanisms in metastable titanium alloys

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Prof. RNDr. Martin Kružík, Ph.D. DSc.
The proposed project aims to develop an experimentally justified and mathematically consistent constitutive model of the shape memory behavior of metastable beta-Ti alloys, to implement it into a…

Interface-bulk interactions in solids

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Ing. Martin Horák, Ph.D.
Many models used in applied sciences lack rigorous mathematical and numerical analysis, leading to incorrect predictions and non-reliable simulations, especially in nonlinear continuum-mechanical…

Mathematical justification of Continuum-kinematics-inspired Peridynamics

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Ing. Martin Horák, Ph.D.

Variational approaches to dynamical problems in continuum mechanics

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Prof. RNDr. Martin Kružík, Ph.D. DSc.
This project aims to systematically advance the analysis of problems in elastodynamics and viscoelastodynamics when also coupled with other dissipative processes. Here, all essential geometric…

Multiscale problems in materials science

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PD Dr. Stefan Krömer
The focus of our project is the mathematically rigorous investigation of models for so-called active materials, for example elastic media with additional relevant electrical or magnetic responses.…

Polynomial optimization in the design of globally optimal frame structures under dynamic loads

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Prof. RNDr. Michal Kočvara, DrSc.
Designing frame and shell structures for globally optimal mechanical performance is challenging because stiffness and inertia depend non-linearly on sizing variables, rendering an ensuing…

Modeling, analysis, and simulation of magnetoelastic materials

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Prof. RNDr. Martin Kružík, Ph.D. DSc.
This project aims to interconnect the complementary expertise of researchers based in Vienna and Prague. The resulting interdisciplinary and international team will collaborate to advance the…

Efficiency of Carbon Reduction Policies

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Doc. RNDr. Martin Branda, Ph.D.
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…

Scales and shapes in continuum thermomechanics

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Prof. RNDr. Martin Kružík, Ph.D. DSc.
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…

Model reduction and optimal control in thermomechanics

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Doc. Ing. Jan Valdman, Dr.
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…

Advanced analytical methods for soft locomotion

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Paolo Gidoni, Ph.D.
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…

Hadamard-in-the-mean: a new and useful class of inequalities in the calculus of variations

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Prof. RNDr. Martin Kružík, Ph.D. DSc.

Conditional independence structures: methods of polyhedral geometry

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RNDr. Milan Studený, DrSc.
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…

Large Strain Challenges in Materials Science

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Prof. RNDr. Martin Kružík, Ph.D. DSc.
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…

Compositional models for data mining

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Prof. Radim Jiroušek, DrSc.
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…

Localization phenomena in shape memory alloys: experiments & modeling

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Prof. RNDr. Martin Kružík, Ph.D. DSc.
This project is focused on systematic experimental investigation and theoretical description of nucleation and propagation of martensitic phase transformation via localized inhomogeneities in NiTi…

Reasoning with graded properties

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Carles Noguera, Ph.D.
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…

Utilization of Stochastic Optimization and Equilibrium Models in Portfolio Selection and Energy Finance

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RNDr. Michal Červinka, Ph.D.
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…

Advanced mathematical methods for dissipative evolutionary systems

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Prof. RNDr. Martin Kružík, Ph.D. DSc.

Mathematical Modelling of Intransitive Preferences

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Mgr. Miroslav Pištěk, Ph.D.
Mgr. Alexej Moskovka
Mgr. Iván Leonardo Pérez Cabrera
Ing. Martin Rod

An introduction to mathematical homogenization

Matematicko-fyzikální fakulta UK

Conditional independence structures

Matematicko-fyzikální fakulta UK

Introductory Statistics

Fakulta sociálních věd UK

Logika a sémantika

Fakulta informatiky a statistiky VŠE

Matematická informatika

Fakulta informatiky a statistiky VŠE

Matematické metody v mechanice pevných látek

Matematicko-fyzikální fakulta UK

Math for Artificial Intelligence and Data Science

Přírodovědecká fakulta Jihočeské University v Českých Budějovicích

Mathematical elasticity

Matematicko-fyzikální fakulta UK

Nonlinear differential equations and inequalities

Matematicko-fyzikální fakulta UK

Numerická matematika I

Přírodovědecká fakulta Jihočeské University v Českých Budějovicích

6th Workshop on Variational Analysis and Optimization, Mariánská

Workshop on Variational Analysis and Optimization is an annual workshop organized by members of the Czech Academy of Sciences. It is an informal meeting of people interested in various topics of optimization theory. It combines a mathematical program in the afternoon/evening with a free program in the morning/early afternoon, when one can enjoy the beautiful scenery, go hiking, skiing or just discuss mathematics. Because of its location on the Czech-German border, it is suited mainly for Czech and German researchers.

Useful information

The 9th International Conference on Probabilistic Graphical Models

11th Workshop on Uncertainty Processing

Winter school of MTR, 2018

February 26 - March 4, Mariánská, Czech Republic

The Winter School of Department of Decision-Making Theory is a popular meeting point of students and researchers from the department and other colaborating researchers from several Czech institutions as well as guests from abroad. It is held in the UTIA's chalet.

The program of the 2018 edition of the MTR Winter School will consist mainly of tutorial talks given by participants.

5th Workshop on Variational Analysis and Optimization, Mariánská

Workshop on Variational Analysis and Optimization is an annual workshop organized by members of the Czech Academy of Sciences. It is an informal meeting of people interested in various topics of optimization theory. It combines a mathematical program in the afternoon/evening with a free program in the morning/early afternoon, when one can enjoy the beautiful scenery, go hiking, skiing or just discuss mathematics. Because of its location on the Czech-German border, it is suited mainly for Czech and German researchers.

11th International Conference on Parametric Optimization and Related Topics

September 19-22, 2017. Prague

In honor of Jiří Outrata's 70th birthday

The international conference series “Parametric Optimization and Related Topics” was founded in 1985 and, since then, took place in different places: the latter seven conferences were held in Enschede (1995), Tokyo (1997), Dubrovnik (1999), Puebla (2002), Cairo (2005), Cienfuegos (2007) and Karlsruhe (2010).

4th Workshop on Variational Analysis and Optimization

Workshop on Variational Analysis and Optimization is an annual workshop organized by members of the Czech Academy of Sciences. It is an informal meeting of people interested in various topics of optimization theory. It combines a mathematical program in the afternoon/evening with a free program in the morning/early afternoon, when one can enjoy the beautiful scenery, go hiking, skiing or just discuss mathematics. Because of its location on the Czech-German border, it is suited mainly for Czech and German researchers.

Winter school of MTR, 2017

January 29 - February 2, Mariánská, Czech Republic

The Winter School of Department of Decision-Making Theory is a popular meeting point of students and researchers from the department and other colaborating researchers from several Czech institutions as well as guests from abroad. It is held in the UTIA's chalet.

The program of the 2017 edition of the MTR Winter School will consist mainly of tutorial talks given by participants.

BELIEF'16

The theory of belief functions, also referred to as evidence theory or Dempster-Shafer theory, is a well established general framework for reasoning with uncertainty, with well understood connections to other frameworks such as probability, possibility and imprecise probability theories. First introduced by Arthur P. Dempster in the context of statistical inference, the theory was later developed by Glenn Shafer into a general framework for modeling epistemic uncertainty.

IGAIA IV

The fourth conference on Information Geometry and its Applications will be held on June 13-17, 2016, at Liblice Castle in Czech Republic. It is organized by the Institute of Information Theory and Automation of the Czech Academy of Sciences.