Multidimensional Models of Uncertainty
Project goals
Mathematical models in decision making under uncertainty usually contain a large number of variables. The relations of independence and conditional independence enable the efficient construction of multidimensional models such as Bayesian networks or graphical Markov models. Real applications of these models require fast algorithms. A promising alternative to the graphical models are compositional models, which emphasize the computational aspects. Incomplete data or presence of various sources of uncertainty lead to the introduction of multidimensional models within non-additive approaches such as Dempster-Shafer theory or possibility theory. Applicability of such models depends on (conditional) independence that is not sufficiently studied in this context. The structural properties of non-additive models can also be determined by purely geometrical properties of a compact convex set of probability measures. The essence of the project is the research of the computational facets of multidimensional models from the viewpoint of their structural and geometrical properties.
Keywords
multidimenzionální modelBayesovská síťteorie pravděpodobnostiDempsterova-Shaferova teorieinterva
Public support
Provider
Czech Science Foundation
Programme
Standard projects
Call for proposals
Standardní projekty 12 (SGA02009GA-ST)
Main participants
—
Contest type
VS - Public tender
Contract ID
201/09/1891
Alternative language
Project name in Czech
Multidimenzionální modely neurčitosti
Annotation in Czech
Cílem projektu je návrh metod pro efektivní výpočty v pravděpodobnostních multidimenzionálních modelech a získání nových poznatků umožňujících návrh výpočetních metod v rámci neaditivních multidimenzionálních modelů. Navržené výpočetní procedury budou ověřeny na reálných datech.
Scientific branches
R&D category
ZV - Basic research
CEP classification - main branch
BA - General mathematics
CEP - secondary branch
IN - Informatics
CEP - another secondary branch
—
10101 - Pure mathematics
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Completed project evaluation
Provider evaluation
U - Uspěl podle zadání (s publikovanými či patentovanými výsledky atd.)
Project results evaluation
The project gone according to plan both in terms of expertise and in terms of disbursement of funds.
Solution timeline
Realization period - beginning
Jan 1, 2009
Realization period - end
Dec 31, 2011
Project status
U - Finished project
Latest support payment
Apr 16, 2011
Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP12-GA0-GA-U/02:2
Data delivery date
May 2, 2016
Finance
Total approved costs
1,551 thou. CZK
Public financial support
1,551 thou. CZK
Other public sources
0 thou. CZK
Non public and foreign sources
0 thou. CZK
Basic information
Recognised costs
1 551 CZK thou.
Public support
1 551 CZK thou.
100%
Provider
Czech Science Foundation
CEP
BA - General mathematics
Solution period
01. 01. 2009 - 31. 12. 2011