Results 211 to 220 of about 129,728 (246)
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International Journal of Computer Mathematics, 1995
Considered here is the problem of learning a nonlinear mapping with uncountable domain and range. The learning model used is that of piecewise linear interpolation on random samples from the domain. More specifically, a network learns a function by approximating its value, typically within some small ∈, when presented an arbitrary element of the domain.
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Considered here is the problem of learning a nonlinear mapping with uncountable domain and range. The learning model used is that of piecewise linear interpolation on random samples from the domain. More specifically, a network learns a function by approximating its value, typically within some small ∈, when presented an arbitrary element of the domain.
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Lipschitz pre-orders and Lipschitz utility functions
Russian Mathematical Surveys, 1984The notion of the Lipschitz preorder as a preference ordering relation on a separable metric space is introduced, and it is shown that it leads to a Lipschitz utility function.
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Optimization of lipschitz continuous functions
Mathematical Programming, 1977This paper contains basic results that are useful for building algorithms for the optimization of Lipschitz continuous functionsf on compact subsets of En. In this settingf is differentiable a.e. The theory involves a set-valued mappingxźźźf(x) whose range is the convex hull of existing values of źf and limits of źf on a closedź-ball,B(x, ź).
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We investigate Lipschitz symmetric functions on a Banach space with a symmetric basis. We consider power symmetric polynomials on or and show that they are Lipschitz on the unbounded subset of consisting of vectors on or such that .
Danyliv I., Martsinkiv M.
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Danyliv I., Martsinkiv M.
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Extension of lipschitz functions
Mathematical Notes of the Academy of Sciences of the USSR, 1980openaire +2 more sources
On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
Geometric and Functional Analysis, 2016Giovanni Alberti, Andrea Marchese
exaly
Extensions of Lipschitz Functions
Journal of the London Mathematical Society, 1974openaire +2 more sources