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math.OC2023
Higher-Order Newton Methods with Polynomial Work per Iteration
Amir Ali Ahmadi, Abraar Chaudhry, Jeffrey Zhang
We present generalizations of Newton's method that incorporate derivatives of an arbitrary order but maintain a polynomial dependence on dimension in their cost per iteration.…
math.OC2023★ 1 cited
Safely Learning Dynamical Systems
Amir Ali Ahmadi, Abraar Chaudhry, Vikas Sindhwani +1
A fundamental challenge in learning an unknown dynamical system is to reduce model uncertainty by making measurements while maintaining safety. We formulate a mathematical definiti…