Author

E. Tsigaridas

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Preprint Sep 2026

Resultant multiplicity via projective degrees and applications to tensor eigenvalues

Given a system $\mathbf{f}=(f_1,\ldots,f_n)$ of $n$ homogeneous forms in $n$ variables of the same degree, Macaulay's resultant vanishes precisely when the polynomials have a common projective zero. Its order of vanishing measures the singularity of the resultant hypersurface at $\mathbf{f}$. In this paper, we study ho...

M. L. Dogan, E. Tsigaridas, Z. Zafeirakopoulos · 0 citations

Preprint Aug 2026

Exact Algebraic Computation of Learning Coefficients for Two-Dimensional Singular Models

This work presents the first deterministic algorithm that computes local RLCTs exactly for any two-dimensional model whose Kullback-Leibler distance is contact equivalent to a polynomial, derive a bound on its complexity, and demonstrate its effectiveness for a broad class of models, with applications including polynom...

Grégoire Sergeant-Perthuis, E. Tsigaridas, Jules Tsukahara Cqsb et al. · 0 citations