| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0363806 |
| utime |
20240111140759.6 |
| mtime |
20110913235959.9 |
| title
(primary) (eng) |
Stability Analysis and Fast Damped-Gauss-Newton Algorithm for INDSCALTensor Decomposition |
| specification |
| page_count |
4 s. |
| media_type |
CD ROM |
|
| serial |
| ARLID |
cav_un_epca*0363805 |
| ISBN |
978-1-4577-0569-4 |
| title
|
2011 IEEE Statistical Signal Processing Workshop (SSP) Proceedings |
| page_num |
581-584 |
| publisher |
| place |
Nice |
| name |
IEEE Signal Processing Society |
| year |
2011 |
|
|
| keyword |
INDSCAL |
| keyword |
PARAFAC |
| keyword |
tensor decomposition |
| author
(primary) |
| ARLID |
cav_un_auth*0108100 |
| name1 |
Koldovský |
| name2 |
Zbyněk |
| full_dept (cz) |
Stochastická informatika |
| full_dept (eng) |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department (eng) |
SI |
| institution |
UTIA-B |
| full_dept |
Department of Stochastic Informatics |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0101212 |
| name1 |
Tichavský |
| name2 |
Petr |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| institution |
UTIA-B |
| full_dept |
Department of Stochastic Informatics |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0274170 |
| name1 |
Phan |
| name2 |
A. H. |
| country |
JP |
|
| source |
|
| cas_special |
| project |
| project_id |
1M0572 |
| agency |
GA MŠk |
| ARLID |
cav_un_auth*0001814 |
|
| project |
| project_id |
GA102/09/1278 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0253174 |
|
| project |
| project_id |
GAP103/11/1947 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0301478 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
INDSCAL is a special case of the CANDECOMP-PARAFAC (CP) decomposition of three or more-way tensors, where two factor matrices are equal. This paper provides a stability analysis of INDSCAL that is done by deriving the Cram'er-Rao lower bound (CRLB) on variance of an unbiased estimate of the tensor parameters from its noisy observation (the tensor plus a Gaussian random tensor). The existence of the bound reveals necessary conditions for the essential uniqueness of the INDSCAL decomposition. This is compared with previous results on CP. Next, analytical expressions for the inverse of the Hessian matrix, which is needed to compute the CRLB, are used in a damped Gaussian (Levenberg-Marquardt) algorithm, which gives a novel method for INDSCAL having a lower computational complexity. |
| action |
| ARLID |
cav_un_auth*0274146 |
| name |
2011 IEEE Statistical Signal Processing Workshop (SSP) |
| place |
Nice |
| dates |
28.06.2011-30.06.2011 |
| country |
FR |
|
| reportyear |
2012 |
| RIV |
BB |
| num_of_auth |
3 |
| permalink |
http://hdl.handle.net/11104/0199463 |
| arlyear |
2011 |
| mrcbU56 |
430 kB |
| mrcbU63 |
cav_un_epca*0363805 2011 IEEE Statistical Signal Processing Workshop (SSP) Proceedings 978-1-4577-0569-4 581 584 Nice IEEE Signal Processing Society 2011 |
|