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math.PR2023★ 2 cited
Solving systems of Random Equations via First and Second-Order Optimization Algorithms
Andrea Montanari, Eliran Subag
We revisit the problem of solving random equations in real variables, when the equations are independent realizations of a Gaussian process in dimensions. A special cas…
math.PR2023
Concentration for the zero set of large random polynomial systems
Eliran Subag
For random systems of polynomials in real variables which include the models of Kostlan (1987) and Shub and Smale (1993), we prove that the number of zeros on the unit…