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math.OC2023★ 2 cited
Cubic-quartic regularization models for solving polynomial subproblems in third-order tensor methods
Wenqi Zhu, Coralia Cartis
High-order tensor methods for solving both convex and nonconvex optimization problems have generated significant research interest, leading to algorithms with optimal global rates…
math.OC2023★ 2 cited
Second-order methods for quartically-regularised cubic polynomials, with applications to high-order tensor methods
Coralia Cartis, Wenqi Zhu
There has been growing interest in high-order tensor methods for nonconvex optimization, with adaptive regularization, as they possess better/optimal worst-case evaluation complexi…