13 citations · 30 across the 6 of their papers we have counts for
6 papers
Osculating Geometry and Higher-Order Distance Loci
Sandra Di Rocco, Kemal Rose, Luca Sodomaco
We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Eucli…
Conditional Euclidean distance optimization via relative tangency
Sandra Di Rocco, Lukas Gustafsson, Luca Sodomaco
We introduce a theory of relative tangency for projective algebraic varieties. The dual variety of a variety relative to a subvariety is the set of hyperplanes t…
On the minimal algebraic complexity of the rank-one approximation problem for general inner products
Khazhgali Kozhasov, Alan Muniz, Yang Qi +1
We study the algebraic complexity of Euclidean distance minimization from a generic tensor to a variety of rank-one tensors. The Euclidean Distance (ED) degree of the Segre-Verones…
Degrees of Kalman varieties of tensors
Zahra Shahidi, Luca Sodomaco, Emanuele Ventura
Kalman varieties of tensors are algebraic varieties consisting of tensors whose singular vector -tuples lay on prescribed subvarieties. They were first studied by Ottaviani and…
Asymptotics of degrees and ED degrees of Segre products
Giorgio Ottaviani, Luca Sodomaco, Emuanuele Ventura
Two fundamental invariants attached to a projective variety are its classical algebraic degree and its Euclidean Distance degree (ED degree). In this paper, we study the asymptotic…
The Distance Function from a Real Algebraic Variety
Giorgio Ottaviani, Luca Sodomaco
For any (real) algebraic variety in a Euclidean space endowed with a nondegenerate quadratic form , we introduce a polynomial which, for any…