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Medial Axis and Singularities. [PDF]
Birbrair L, Denkowski MP.
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Penalized classification using Fisher's linear discriminant. [PDF]
Witten DM, Tibshirani R.
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Separation of convex sets by Clarke subdifferential
Optimization, 2010In this article we consider a separation technique proposed in J. Grzybowski, D. Pallaschke, and R. Urbanski (A pre-classification and the separation law for closed bounded convex sets, Optim. Method Softw. 20(2005), pp. 219–229) for separating two convex sets A and B with another convex set C. We prove that in a finite dimension C can be chosen as the
GAUDIOSO, MANLIO +2 more
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Neutral fractional stochastic partial differential equations with Clarke subdifferential
Applicable Analysis, 2020By using fractional calculus, stochastic analysis theory and fixed point theorems, sufficient conditions for approximate controllability of nonlocal Sobolev-type neutral fractional stochastic diffe...
Hamdy M. Ahmed +2 more
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Approximate controllability for stochastic evolution inclusions of Clarke’s subdifferential type
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang Lu, Zhenhai Liu, Maojun Bin
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Clarke subdifferential for lipschitzian multivalued mappings
Cybernetics and Systems Analysis, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rotund norms, Clarke subdifferentials and extensions of Lipschitz functions
Nonlinear Analysis: Theory, Methods & Applications, 2002It is well known that the Clarke subdifferential of a Lipschitz function is an essential tool in nonsmooth analysis and especially in nonsmooth optimization. Nevertheless, there exists a large class of pathological Lipschitz functions for which this notion provides no information about the local behavior of the function. So in recent papers it is shown
Borwein, Jon +2 more
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A Note On The Clarke Subdifferential
The American Mathematical Monthly, 1998L yON y?N j for every x E U and every Lebesgue null set N containing the set of points where h is not differentiable. By h'(y) we mean the derivative of h at y provided it exists. There are numerous general results about characterizing the Clarke subdifferential. We refer to [2] and [3], from which the following result may be deduced.
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Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential type
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhenhai, Zeng, Biao
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