47 citations · 232 across the 39 of their papers we have counts for
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math.AG2020
Euclidean distance degree and mixed volume
Paul Breiding, Frank Sottile, James Woodcock
We initiate a study of the Euclidean Distance Degree in the context of sparse polynomials. Specifically, we consider a hypersurface f=0 defined by a polynomial f that is general gi…
math.AG2020★ 6 cited
Certifying zeros of polynomial systems using interval arithmetic
Paul Breiding, Kemal Rose, Sascha Timme
We establish interval arithmetic as a practical tool for certification in numerical algebraic geometry. Our software HomotopyContinuation.jl now has a built-in function certify, wh…
math.AG2020★ 1 cited
An algebraic geometry perspective on topological data analysis
Paul Breiding
A short survey on applications of algebraic geometry in topological data analysis.