Geodesic
Compression of fMRI data using wavelet tensor train decomposition
Numerical methods and programming, Tome 15 (2014) no. 4, pp. 669-676.

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The application of the Wavelet Tensor Train (WTT) decomposition to the compression of functional magnetic resonance imaging (fMRI) data is considered. Contrary to the classical wavelet transforms, the WTT decomposition is an algebraic technique for the construction of adaptive wavelet transforms, but it requires to store filters for each data array. The WTT method of compressing realistic fMRI data is compared with Daubechies wavelet transforms. The numerical results show that the WTT transform can be successfully used to compress lossy data.
Keywords: numerical tensor methods, wavelet tensor train decomposition, functional magnetic resonance imaging (fMRI) data, lossy data compression.
Mots-clés : Daubechies wavelet transform 
@article{VMP_2014_15_4_a11,
     author = {P. V. Kharyuk and I. V. Oseledets and V. L. Ushakov},
     title = {Compression of {fMRI} data using wavelet tensor train decomposition},
     journal = {Numerical methods and programming},
     pages = {669--676},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a11/}
}
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P. V. Kharyuk; I. V. Oseledets; V. L. Ushakov. Compression of fMRI data using wavelet tensor train decomposition. Numerical methods and programming, Tome 15 (2014) no. 4, pp. 669-676. http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a11/