New estimations on the upper bounds for the nuclear norm of a tensor

Using the orthogonal rank of the tensor, a new estimation method for the upper bounds on the nuclear norms is presented and some new tight upper bounds on the nuclear norms are established. Taking into account the structure information of the tensor, an important factor affecting the upper bounds is...

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Detalles Bibliográficos
Autores principales: Kong, Xu, Li, Jicheng, Wang, Xiaolong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208618/
https://www.ncbi.nlm.nih.gov/pubmed/30839714
http://dx.doi.org/10.1186/s13660-018-1861-1
Descripción
Sumario:Using the orthogonal rank of the tensor, a new estimation method for the upper bounds on the nuclear norms is presented and some new tight upper bounds on the nuclear norms are established. Taking into account the structure information of the tensor, an important factor affecting the upper bounds is discussed and some corresponding properties related to the nuclear norms are given. Meanwhile, some new results of the upper bounds on the nuclear norms are obtained.

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