TY - GEN
T1 - A single-class SVM based algorithm for computing an identifiable NMF
AU - Essid, Slim
PY - 2012/10/23
Y1 - 2012/10/23
N2 - The geometric interpretation of Nonnegative Matrix Factorisation (NMF) as the problem of determining a convex cone that "well describes" the data under analysis has been key for addressing a major shortcoming of the "mainstream" NMF algorithms, that is the non-identifiability of the factorisation. On the basis of such geometric motivations, this paper proposes a novel algorithm that makes use of single-class support vector machines to recover the targeted NMF components. Not only does this new approach alleviate the NMF illposedness issue, but also it allows for automatically estimating the number of relevant NMF components, as demonstrated through experiments described in the paper. Moreover, it is readily kernelised thus opening the way for non-linear factorisations of the data.
AB - The geometric interpretation of Nonnegative Matrix Factorisation (NMF) as the problem of determining a convex cone that "well describes" the data under analysis has been key for addressing a major shortcoming of the "mainstream" NMF algorithms, that is the non-identifiability of the factorisation. On the basis of such geometric motivations, this paper proposes a novel algorithm that makes use of single-class support vector machines to recover the targeted NMF components. Not only does this new approach alleviate the NMF illposedness issue, but also it allows for automatically estimating the number of relevant NMF components, as demonstrated through experiments described in the paper. Moreover, it is readily kernelised thus opening the way for non-linear factorisations of the data.
KW - identifiability
KW - nonnegative matrix factorisation
KW - single-class support vector machines
U2 - 10.1109/ICASSP.2012.6288313
DO - 10.1109/ICASSP.2012.6288313
M3 - Conference contribution
AN - SCOPUS:84867608214
SN - 9781467300469
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 2053
EP - 2056
BT - 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings
T2 - 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012
Y2 - 25 March 2012 through 30 March 2012
ER -