| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0397249 |
| utime |
20240103203059.2 |
| mtime |
20131112235959.9 |
| DOI |
10.1007/978-3-642-40020-9_32 |
| title
(primary) (eng) |
Generalized minimizers of convex integral functionals and Pythagorean identities |
| specification |
| page_count |
6 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0398425 |
| ISBN |
978-3-642-40019-3 |
| ISSN |
0302-9743 |
| title
|
Geometric Science of Information 2013 |
| page_num |
302-307 |
| publisher |
| place |
Berlin |
| name |
Springer |
| year |
2013 |
|
|
| keyword |
Integral functional |
| keyword |
convex normal integrand |
| keyword |
primal constraint qualification |
| keyword |
generalized minimizer |
| keyword |
Pythagorean identities |
| keyword |
information geometry |
| author
(primary) |
| ARLID |
cav_un_auth*0015571 |
| name1 |
Csiszár |
| name2 |
I. |
| country |
HU |
|
| author
|
| ARLID |
cav_un_auth*0101161 |
| name1 |
Matúš |
| name2 |
František |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The effective domain of the value function is described by a modification of the concept of convex core. The minimization is viewed as a primal problem and studied together with a dual one in the framework of convex duality. The minimizers and generalized minimizers are explicitly described whenever the primal value is finite, assuming a dual constraint qualification but not the primal constraint qualification. A generalized Pythagorean identity is presented using Bregman distance and a correction term. |
| action |
| ARLID |
cav_un_auth*0294821 |
| name |
Geometric Science of Information 2013 |
| place |
Paris |
| dates |
28.08.2013-30.08.2013 |
| country |
FR |
|
| reportyear |
2014 |
| RIV |
BD |
| num_of_auth |
2 |
| presentation_type |
PR |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0225900 |
| mrcbT16-q |
100 |
| mrcbT16-s |
0.325 |
| mrcbT16-y |
16.75 |
| mrcbT16-x |
0.51 |
| mrcbT16-4 |
Q2 |
| mrcbT16-E |
Q3 |
| arlyear |
2013 |
| mrcbU63 |
cav_un_epca*0398425 Geometric Science of Information 2013 978-3-642-40019-3 0302-9743 302 307 Berlin Springer 2013 Lecture Notes in Computer Science 8085 |
|