Name
Title | ||
|---|---|---|
On revealing replicating structures in multiway data: a novel tensor decomposition approach |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/978-3-642-28551-6_37 | LVA/ICA |
Keywords | Field | DocType |
novel tensor product,multiway data,possible algorithm,computational framework,complex music sequence,novel tensor decomposition approach,complex data,novel tensor decomposition,nonnegative pattern,perfect match,music spectrogram,structural complexity,pattern analysis,tensor product | Tensor product,Tensor product network,Tensor,Tensor (intrinsic definition),Structural complexity,Spectrogram,Pure mathematics,Algorithm,Complex data type,Mathematics,Tensor decomposition | Conference |
Citations | PageRank | References |
11 | 0.68 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anh Huy Phan | 1 | 828 | 51.60 |
| Andrzej Cichocki | 2 | 5228 | 508.42 |
| Petr Tichavský | 3 | 341 | 41.01 |
| Danilo Mandic | 4 | 1641 | 173.32 |
| Kiyotoshi Matsuoka | 5 | 303 | 83.73 |