6 citations · 6 across the 15 of their papers we have counts for
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math.OC2022
Nonsmooth rank-one matrix factorization landscape
Cédric Josz, Lexiao Lai
We provide the first positive result on the nonsmooth optimization landscape of robust principal component analysis, to the best of our knowledge. It is the object of several conje…
math.OC2022
Sufficient conditions for instability of the subgradient method with constant step size
Cédric Josz, Lexiao Lai
We provide sufficient conditions for instability of the subgradient method with constant step size around a local minimum of a locally Lipschitz semi-algebraic function. They are s…
math.OC2022★ 6 cited
Lyapunov stability of the subgradient method with constant step size
Cédric Josz, Lexiao Lai
We consider the subgradient method with constant step size for minimizing locally Lipschitz semi-algebraic functions. In order to analyze the behavior of its iterates in the vicini…