Degree of tensor train varieties via integral geometry
Published in arXiv preprint, 2026
In this work we consider tensor train varieties. These are varieties of tensors arising in a range of fields, including quantum many-body physics and machine learning. Using methods from integral geometry, we obtain a combinatorial expression for their degrees. We provide the ready-to-use julia package TTVarietyDegree.jl.
Recommended citation: Andrea Rosana and Otto T.P. Schmidt. Degree of tensor train varieties via integral geometry. arXiv:2606.11847 (2026).
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