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08/29/2023
Second-order methods for quartically-regularised cubic polynomials, with applications to high-order tensor methods
There has been growing interest in high-order tensor methods for nonconv...
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11/10/2022
A Randomised Subspace Gauss-Newton Method for Nonlinear Least-Squares
We propose a Randomised Subspace Gauss-Newton (R-SGN) algorithm for solv...
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09/13/2021
Nonlinear matrix recovery using optimization on the Grassmann manifold
We investigate the problem of recovering a partially observed high-rank ...
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07/26/2021
Global optimization using random embeddings
We propose a random-subspace algorithmic framework for global optimizati...
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05/25/2021
Hashing embeddings of optimal dimension, with applications to linear least squares
The aim of this paper is two-fold: firstly, to present subspace embeddin...
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11/03/2018
Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints
We provide sharp worst-case evaluation complexity bounds for nonconvex m...
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08/14/2017