On Revealing Replicating Structures in Multiway Data: A Novel Tensor Decomposition Approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00376327" target="_blank" >RIV/67985556:_____/12:00376327 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-28551-6_37" target="_blank" >http://dx.doi.org/10.1007/978-3-642-28551-6_37</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-28551-6_37" target="_blank" >10.1007/978-3-642-28551-6_37</a>

Result language
angličtina
Original language name
On Revealing Replicating Structures in Multiway Data: A Novel Tensor Decomposition Approach
Original language description
A novel tensor decomposition is proposed to make it possible to identify replicating structures in complex data, such as textures and patterns in music spectrograms. In order to establish a computational framework for this paradigm, we adopt a multiway (tensor) approach. To this end, a novel tensor product is introduced, and the subsequent analysis of its properties shows a perfect match to the task of identification of recurrent structures present in the data. Out of a whole class of possible algorithms, we illuminate those derived so as to cater for orthogonal and nonnegative patterns. Simulations on texture images and a complex music sequence confirm the benefits of the proposed model and of the associated learning algorithms.
Czech name
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Czech description
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Project
<a href="/en/project/GA102%2F09%2F1278" target="_blank" >GA102/09/1278: Advanced methods of blind source separation and blind deconvolution</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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