Results 111 to 120 of about 257,170 (166)

On subdifferential chain rule of matrix factorization and beyond

open access: yes
In this paper, we study equality-type Clarke subdifferential chain rules of matrix factorization and factorization machine. Specifically, we show for these problems that provided the latent dimension is larger than some multiple of the problem size (i.e.,
Guan, Jiewen, So, Anthony Man-Cho
core  

Value Functions and Optimality Conditions for Nonconvex Variational Problems with an Infinite Horizon in Banach Spaces

open access: yes, 2020
International audienceWe investigate the value function of an infinite horizon variational problem in the infinite-dimensional setting. Firstly, we provide an upper estimate of its Dini-Hadamard subdifferential in terms of the Clarke subdifferential of ...
Sagara, Nobusumi, Frankowska, Hélène
core  

Morse Theory for the <i>k</i>-NN Distance Function. [PDF]

open access: yesDiscrete Comput Geom
Reani Y, Bobrowski O.
europepmc   +1 more source

APPROXIMATE CONVEXITY AND SUBMONOTONICITY IN LOCALLY CONVEX SPACES Communicated by Mohammad Sal Moslehian

open access: yes, 2010
. We introduce some new concepts of locally Lipschitz mappings, Clarke subdifferential, approximate convexity and submonotonocity in locally convex spaces. We show that, if f is approximately convex and bounded above, then f is locally Lipschitz. We also
A Amini-Harandi, A P Farajzadeh
core  

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