Josué Tonelli-Cueto

activity

20182025

most citedComputing the Homology of Semialgebraic Sets. II: General formulas

14 citations · 53 across the 17 of their papers we have counts for

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2 papers · 1 filter

math.PR2018★ 9 cited

On the Number of Real Zeros of Random Fewnomials

Peter Bürgisser, Alperen A. Ergür, Josué Tonelli-Cueto

Consider a system $f_{1} (x) = 0, \dots, f_{n} (x) = 0$ of $n$ random real polynomials in $n$ variables, where each $f_{i}$ has a prescribed set of terms described by a set $A\subseteq \mathbb{…

cs.CG2018★ 13 cited

Computing the Homology of Semialgebraic Sets I: Lax Formulas

Peter Bürgisser, Felipe Cucker, Josué Tonelli-Cueto

We describe and analyze an algorithm for computing the homology (Betti numbers and torsion coefficients) of closed semialgebraic sets given by Boolean formulas without negations ov…