Search results with tag "Differentiable"
Improved Training of Wasserstein GANs
arxiv.orgeverywhere and differentiable almost everywhere. The WGAN value function is constructed using the Kantorovich-Rubinstein duality [25] to obtain min G max D 2D E x P r D (x ) E x~ P g D (x~ )) (2) where D is the set of 1-Lipschitz functions and P g is once again the model distribution implicitly dened by x~ = G (z ); z p(z ).
TOPOLOGY FROM DIFFERENTIABLE VIEWPOINT
math.uchicago.edu6 51. Smooth maniJolds smooth map f:M+N with f(x) = y.The derivative dfz : TM, 3 TN, is defined as follows.Since J is smooth there exist an open set W con- taining x and a smooth map F:W4R1 that coincides with f on W (7 M. De&e df,(v) to be equal to dF,(v) for all v e TM,. To justify this definition we must prove that dF,(v) belongs to TN, and that it does not depend on the …
An Introduction to Differentiable Manifolds and …
aetemad.iut.ac.irThe Existence Theorem for Ordinary Differential Equations 130 5. ... it is more elementary and less encyclopedic than most books on this subject. Special care has been taken to review, and then to develop, the connections with advanced calculus. In particular, all of ...