Maximal Border Subrank Tensors
Chia-Yu Chang
TL;DR
This paper establishes a pioneering lower bound on the dimension of the set of tensors with maximal border subrank, advancing understanding in tensor algebra and complexity theory.
Contribution
It provides the first known lower bound on the dimension of maximal border subrank tensors, a significant step in tensor analysis.
Findings
First lower bound on maximal border subrank tensor set dimension
Advances theoretical understanding of tensor border subrank
Establishes foundational results for tensor complexity
Abstract
We prove a lower bound on the dimension of the set of maximal border subrank tensors. This is the first such bound of its type.
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Taxonomy
TopicsTensor decomposition and applications · Mathematical Approximation and Integration · Advanced Neuroimaging Techniques and Applications