TY - GEN
T1 - Core consistency diagnostic aided by reconstruction error for accurate enumeration of the number of components in parafac models
AU - Liu, Kefei
AU - So, H. C.
AU - Da Costa, Joao Paulo C. L.
AU - Huang, Lei
PY - 2013/10/18
Y1 - 2013/10/18
N2 - Recently, the CORe CONsistency DIAgnostic (CORCONDIA) has attractedmore and more attention as an effective tool for determining the number of components in parallel factor analysis (PARAFAC) or Tucker 3 models. In CORCONDIA, a proper user-defined threshold is required to ensure reliable performance. The optimal threshold increases with the signal-to-noise ratio (SNR), which results in significant probability of over-enumeration of the number of components for high SNRs under fixed threshold settings. We propose to first use a threshold interval to obtain lower and upper bounds of the estimates. The estimate takes the upper bound as its initial value and is then refined based on a sequence of hypothesis tests by exploiting the reconstruction error of the PARAFAC decomposition. The proposed scheme provides accurate detection for both low and high SNRs at almost no extra computational cost. © 2013 IEEE.
AB - Recently, the CORe CONsistency DIAgnostic (CORCONDIA) has attractedmore and more attention as an effective tool for determining the number of components in parallel factor analysis (PARAFAC) or Tucker 3 models. In CORCONDIA, a proper user-defined threshold is required to ensure reliable performance. The optimal threshold increases with the signal-to-noise ratio (SNR), which results in significant probability of over-enumeration of the number of components for high SNRs under fixed threshold settings. We propose to first use a threshold interval to obtain lower and upper bounds of the estimates. The estimate takes the upper bound as its initial value and is then refined based on a sequence of hypothesis tests by exploiting the reconstruction error of the PARAFAC decomposition. The proposed scheme provides accurate detection for both low and high SNRs at almost no extra computational cost. © 2013 IEEE.
KW - core consistency
KW - multi-linear algebra
KW - parallel factor analysis (PARAFAC)
KW - Source enumeration
UR - https://www.scopus.com/pages/publications/84890542816
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84890542816&origin=recordpage
U2 - 10.1109/ICASSP.2013.6638945
DO - 10.1109/ICASSP.2013.6638945
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9781479903566
SP - 6635
EP - 6639
BT - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
T2 - 38th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013)
Y2 - 26 May 2013 through 31 May 2013
ER -