Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Min-max Cut Algorithm for Graph Partitioning and Data Clustering
ICDM '01 Proceedings of the 2001 IEEE International Conference on Data Mining
Document clustering based on non-negative matrix factorization
Proceedings of the 26th annual international ACM SIGIR conference on Research and development in informaion retrieval
Document clustering by concept factorization
Proceedings of the 27th annual international ACM SIGIR conference on Research and development in information retrieval
Document clustering via adaptive subspace iteration
Proceedings of the 27th annual international ACM SIGIR conference on Research and development in information retrieval
Relational clustering by symmetric convex coding
Proceedings of the 24th international conference on Machine learning
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In this paper, we propose a novel non-negative matrix factorization (NMF) to the affinity matrix for document clustering, which enforces non-negativity and orthogonality constraints simultaneously. With the help of orthogonality constraints, this NMF provides a solution to spectral clustering, which inherits the advantages of spectral clustering and presents a much more reasonable clustering interpretation than the previous NMF-based clustering methods. Furthermore, with the help of non-negativity constraints, the proposed method is also superior to traditional eigenvector-based spectral clustering, as it can inherit the benefits of NMF-based methods that the non-negative solution is institutive, from which the final clusters could be directly derived. As a result, the proposed method combines the advantages of spectral clustering and the NMF-based methods together, and hence outperforms both of them, which is demonstrated by experimental results on TDT2 and Reuters-21578 corpus.