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Subdifferential Calculus for the Value Function in Nonconvex Dynamic Optimization in Banach Spaces [PDF]

open access: yes, 2011
This paper explores nonsmooth analysis for infinite-horizon dynamic programming in discrete time without convexity assumptions, exploiting Clarke subdifferentials for locally Lipschitz functions defined on Banach spaces.
SAGARA Nobusumi
core  

Theoretical issues in deep networks. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
Poggio T, Banburski A, Liao Q.
europepmc   +1 more source

Weakened subdifferentials and Frechet differentiability of real functions [PDF]

open access: yes
Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
core  

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