Results 11 to 20 of about 560,829 (251)
Locally lipschitz cooperative games
Journal of Mathematical Economics, 1981 A locally Lipschitz cooperative generalized game is described by its coalition worth function v defined on the set [0, 1]n of generalized (or fuzzy) coalitions of n players. We assume that v is positively homogeneous and locally Lipschitz. We propose the Clarke's generalized gradient ∂v(cN) of v at the coalition cN=(1,…,1) of all players as a set of ...
Aubin, Jean-Pierre, Jean-Pierre Aubin
openaire +3 more sources
The oscillation of separately locally Lipschitz functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
doaj +2 more sources
Hybrid robust observers for locally Lipschitz systems [PDF]
2009 European Control Conference (ECC), 2009 State observer design procedure is proposed for nonlinear locally Lipschitz systems. Possible presence of disturbances is taken into account. The solution is based on logic-based control approach applicable to nonlinear systems with bounded solutions.
Bobtsov, Alexey, Efimov, Denis
openaire +4 more sources
The Rank Theorem for Locally Lipschitz Continuous Functions
Canadian Mathematical Bulletin, 1988 AbstractThe Rank Theorem is proved for locally Lipschitz continuous functions f:Rn → Rp with generalized derivative of constant rank.
Butler, G. J. +2 more
openaire +3 more sources
Whitney stratifications and the continuity of local Lipschitz–Killing curvatures [PDF]
Annales de l'Institut Fourier, 2018 In the paper we prove that the local Lipschitz–Killing curvatures of a definable set in a polynomially bounded o-minimal structure are continuous along the strata of a Whitney stratification. Moreover, if the stratification is ( w
Valette, Guillaume +1 more
openaire +4 more sources
The oscillation of separately locally Lipschitz functions
Karpatsʹkì Matematičnì Publìkacìï, 2011 We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
doaj +1 more source
Adversarial Robustness of Sparse Local Lipschitz Predictors
SIAM Journal on Mathematics of Data Science, 2023 Abstract. This work studies the adversarial robustness of parametric functions composed of a linear predictor and a nonlinear representation map. Our analysis relies on sparse local Lipschitzness (SLL), an extension of local Lipschitz continuity that better captures the stability and reduced effective dimensionality of predictors upon
Ramchandran Muthukumar, Jeremias Sulam
openaire +4 more sources
Limitations of Local Filters of Lipschitz and Monotone Functions [PDF]
ACM Transactions on Computation Theory, 2012 We study local filters for two properties of functions of the form f : {0,1}d → R: the Lipschitz property and monotonicity. A local filter with additive error a is a randomized algorithm that is given black-box access to a function f
Pranjal Awasthi +3 more
openaire +4 more sources
Segment Tracing Using Local Lipschitz Bounds [PDF]
Computer Graphics Forum, 2020 Abstract We introduce Segment Tracing, a new algorithm that accelerates the classical Sphere Tracing method for computing the intersection between a ray and an implicit surface. Our approach consists in computing the Lipschitz bound locally over a segment to improve the marching step computation and accelerate the overall process.
Galin, Eric +3 more
openaire +2 more sources
Characterization of the Local Lipschitz Constant
Journal of Approximation Theory, 1994 Let \(X\) be a closed subset of \([a,b]\) with at least \(n+1\) points, and let \(C(X)\) denote the space of continuous real valued functions on \(X\) endowed with the uniform norm. Let \(H_ n\) denote a Haar set of dimension \(n\), and let the best approximation of \(f\in C(X)\) in \(H_ n\) be \(B_ n(f)\).
Bartelt, M. W., Swetits, J. J.
openaire +3 more sources