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math.AG2026
Universal Varieties for Signatures of Membranes
Carlos Améndola, Gabriel Riffo, Leonard Schmitz
Membranes are sufficiently smooth vector-valued functions defined on the unit square, widely used in applications such as interpolation of image data. The signature of a membrane i…
cs.SC2026
SignatureTensors.jl: A Package for Signature Tensors in Julia
Gabriel Riffo, Leonard Schmitz
We introduce SignatureTensors.jl, a new package for computing signature tensors of paths in julia. We present its core functionality and demonstrate its use through illustrative ex…
math.AG2026
Signature Varieties of Splines
Carlos Améndola, Felix Lotter, Leonard Schmitz
Splines are central objects for the interpolation of discrete data via piecewise smooth paths. Their iterated-integral signature is an infinite collection of tensors which characte…