Paul Breiding

activity

20152025

most citedThe condition number of join decompositions

47 citations · 232 across the 39 of their papers we have counts for

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3 papers · 1 filter

cs.MS2024★ 2 cited

Computing Arrangements of Hypersurfaces

Paul Breiding, Bernd Sturmfels, Kexin Wang

We present a Julia package HypersurfaceRegions.jl for computing all connected components in the complement of an arrangement of real algebraic hypersurfaces in $R^{n}$ .

math.AG2024

Typical ranks of random order-three tensors

Paul Breiding, Sarah Eggleston, Andrea Rosana

In this paper we study typical ranks of real $m \times n \times ℓ$ tensors. In the case $(m - 1) (n - 1) + 1 \leq ℓ \leq mn$ the typical ranks are contained in ${ℓ, ℓ + 1}$ ,…

math.AG2024

Degree of the subspace variety

Paul Breiding, Pierpaola Santarsiero

Subspace varieties are algebraic varieties whose elements are tensors with bounded multilinear rank. In this paper, we compute their degrees by computing their volumes.