Degree of tensor train varieties via integral geometry

Key Points

• This research aims to understand the degrees of tensor train varieties using integral geometry methods.
• Utilized integral geometry to derive a combinatorial expression for the degrees of tensor train varieties.
• Provided a ready-to-use Julia package named TTVarietyDegree.jl for practical usage.
• Developed a combinatorial expression that can be used to calculate the degrees of tensor train varieties in various applications.