On unique tensor rank decomposition of 3-tensors
Pavel Gubkin
TL;DR
This paper proves a conjectured minimality and uniqueness condition for the decomposition of 3-tensors, addressing a recent open question in tensor algebra.
Contribution
It provides a rigorous proof confirming the conjectured conditions for unique tensor rank decomposition of 3-tensors.
Findings
Confirmed the conjectured minimality condition
Established the uniqueness of 3-tensor decompositions under certain conditions
Resolved a recent open question in tensor algebra
Abstract
We answer to a question posed recently by B. Lovitz and F. Petrov, proving the conjectured sufficient minimality and uniqueness condition of the 3-tensor decomposition.
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Taxonomy
TopicsTensor decomposition and applications · Chromatin Remodeling and Cancer · Genetics and Neurodevelopmental Disorders