Application of Nonnegative Tucker Decomposition in Medical Data Analysis

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Abstract:

In recent years, we have been studied about medical data analysis, especially for the rehabilitation data provided by a hospital, and extracted the recovery tendency of patients from their Functional Independence Measure (FIM) data. This time, we adopt the nonnegative Tucker decomposition (NTD) method, which is known as an extension of the nonnegative matrix factorization (NMF) to higher-dimensional data, to the medical data built up by piling each FIM data at some time points for several patients. Since the all elements of the tensor and matrices obtained by the NTD are nonnegative, it is expected that this method makes the interpretation of the characteristic vectors which are obtained from the resulting matrices easy and intelligible in comparison with our former approach, which used the multi-dimensional principal component analysis (MPCA). The experimental results show the effectiveness of proposed approach.

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Advanced Materials Research (Volumes 971-973)

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1874-1883

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June 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] A. Cichocki, R. Zdunek, A.H. Phan, and S. Amari: Nonnegative matrix and tensor factorizations: applications to exploratory multi-way data analysis and blind source separation, John Wiley & Sons, West Sussex (2009), pp.55-59, pp.384-392.

DOI: 10.1002/9780470747278

Google Scholar

[2] D.D. Lee and H.S. Seung: Algorithms for non-negative matrix factorization, Adv. Neural Info. Proc. Syst. 13 (2001), pp.552-562.

Google Scholar

[3] A.H. Phan and A. Cichocki: Extended HALS algorithm for nonnegative Tucker decomposition and its applications for multiway analysis and classification, Neurocompt. 74 (2011), p.1956-(1969).

DOI: 10.1016/j.neucom.2010.06.031

Google Scholar

[4] H. Hetherington, R.J. Earlam and C.J.C. Kirk: The disability status of injured patients measured by the functional independence measure (FIM) and their use of rehabilitation services, Injury 26 (1995), pp.97-101.

DOI: 10.1016/0020-1383(95)92185-d

Google Scholar

[5] N. Yamamoto, J. Murakami, C. Okuma, Y. Shigeto, S. Saito, T. Izumi, and N. Hayashida: Application of multi-dimensional principal component analysis to medical data, Int. J. Eng. Phys. Sci. 6 (2012), pp.260-266.

Google Scholar

[6] N. Yamamoto, J. Murakami, K. Fujii, C. Okuma, S. Saito, T. Izumi, and N. Hayashida: Measurement and analysis of the functional independence measure data by using nonnegative matrix factorization method, Adv. Mater. Res. 718-720 (2013), pp.630-635.

DOI: 10.4028/www.scientific.net/amr.718-720.630

Google Scholar

[7] Y. -D. Kim and S. Choi: Nonnegative Tucker decomposition, Proc. IEEE Conf. CVPR (2007), pp.1-8.

Google Scholar

[8] L. D. Lathauwer, B. D. Moor, J. Vandewalle: A multilinear singular value decomposition, SIAM J. Mat. Anal. Appl. 21 (2000), pp.1253-1278.

DOI: 10.1137/s0895479896305696

Google Scholar

[9] G.H. Golub and C. Reinsch: Singular value decomposition and least squares solutions, Numer. Math. 14(1970), pp.403-420.

DOI: 10.1007/bf02163027

Google Scholar