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arXiv · 2606.11847

Degree of tensor train varieties via integral geometry

Andrea Rosana·Otto T. P. Schmidt
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Abstract

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$.$

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Andrea Rosana, Otto T. P. Schmidt. 2026-06-10. Degree of tensor train varieties via integral geometry. https://arxiv.org/abs/2606.11847

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