2010
DOI: 10.1109/tpami.2010.15
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Detecting the Number of Clusters in n-Way Probabilistic Clustering

Abstract: Abstract-Recently, there has been a growing interest in multiway probabilistic clustering. Some efficient algorithms have been developed for this problem. However, not much attention has been paid on how to detect the number of clusters for the general n-way clustering (n ! 2). To fill this gap, this problem is investigated based on n-way algebraic theory in this paper. A simple, yet efficient, detection method is proposed by eigenvalue decomposition (EVD), which is easy to implement. We justify this method. I… Show more

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Cited by 165 publications
(13 citation statements)
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“…In addition, we provide a numerical example including fixed-point and trajectory controls so that the validity of our method is ensured. Future works may extend the proposed method and combine it with advanced learning methods such as those in [43,44,45,46,47,48,49].…”
Section: Discussionmentioning
confidence: 99%
“…In addition, we provide a numerical example including fixed-point and trajectory controls so that the validity of our method is ensured. Future works may extend the proposed method and combine it with advanced learning methods such as those in [43,44,45,46,47,48,49].…”
Section: Discussionmentioning
confidence: 99%
“…gives us the possibility to further decompose it into signal and noise subspace. This is done by selecting L eigen values k ðkÞ l per bin k. As used in [40], this can be a fixed number L or be variable and computed with methods such as SORTE introduced in [41]. The case of a first-order surround signal allows the estimation of a maximum of two directions per frequency bin as it is the case with HARPEX [6].…”
Section: Single-perspective Doa Mapmentioning
confidence: 99%
“…In Figure 7 , we try to consider the targets number detection performance under several different sensor array configurations. In this simulation, the second order statistic of the eigenvalues (SORTE) algorithm [ 49 ] is adopted, which is an eigenvalue-based strategy. The all parameters setting is the same as the previous example, that is to say, the targets number that needs to be detected.…”
Section: Numerical Simulationmentioning
confidence: 99%