Results 231 to 240 of about 770,647 (275)

Deep Learning for Automated Meningioma Segmentation: Toward Clinical Integration and Workflow Efficiency

Fenney E, Muralidharan L, Ruffle JK, Pandit A, Millip M, Hammam A, Brookes T, Jabeen F, Colman J, Sarwani O, Alattar K, Efthymiou E, Kallam N, Siddiqui J, Marcus HJ, Nachev P, Hyare H.   +16 more
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Invexity and generalized convexity

Optimization, 1991
Let f be a real differentiate function defined on the open subset A of R n;f is said to be invex if the following inequality is satisfied for a suitable function η The purpose of this paper is to investigate the relationship between invexity and generalized convexity; moreover, we shall give necessary and sufficient conditions for a differentiable ...
Rita Pini
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Generalized Rectangular Convexity

Acta Mathematica Sinica, English Series, 2023
In this paper, the authors investigate two particular convexities, namely the \(tr\)-convexity and the rectangular biconvexity in Euclidean spaces. The authors investigate another generalization of rectangular convexity, by taking the family of all thin rectangles, thus obtaining the thin rectangular convexity and name it as \(tr\)-convex sets.
Yuan, Li Ping, Zamfirescu, Tudor
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On Convex Generalized Systems

Journal of Optimization Theory and Applications, 2000
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MASTROENI, GIANDOMENICO, Rapcsak T.
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Stochastic Convexity on General Space

Mathematics of Operations Research, 1999
This paper presents a general theory of stochastic convexity. The notions of stochastic convexity formulated by Shaked and Shanthikumar (1988a, 1988b, 1990) are defined for general partially ordered spaces. All of the closure properties of the one-dimensional real theory are proved to be true in this general framework as well and results concerning ...
Ludolf E. Meester, J. George Shanthikumar   +1 more
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GENERALIZED CONVEXITY AND CLOSURE CONDITIONS

International Journal of Algebra and Computation, 2013
Convex subsets of affine spaces over the field of real numbers are described by so-called barycentric algebras. In this paper, we discuss extensions of the geometric and algebraic definitions of a convex set to the case of more general coefficient rings.
Gábor Czédli, Anna B. Romanowska
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Generalized Monotonicity of Subdifferentials and Generalized Convexity

Journal of Optimization Theory and Applications, 1997
A function \(f:X\to {\mathbb{R}}\) defined on a Banach space \(X\) is said to be quasiconvex if \[ \forall x,y\in X, \forall t\in [0,1]: f(x+t(y-x)) \leq \max \{f(x),f(y)\} . \] Given a notion of subdifferential \(\partial f\), the authors provide characterizations of the convexity and quasiconvexity of \(f\) in terms of the monotonicity and ...
Penot, J. P., Sach, P. H.
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On generalized convex functions and generalized subdifferential

Optimization Letters, 2018
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A Generalized Convexity and Variational Inequality for Quasi-Convex Minimization

SIAM Journal on Optimization, 1996
Summary: We present a variational-type necessary and sufficient condition for the optimality in a quasi-convex minimization, in which a vanishing differential is not a sufficient condition. Using this condition, we show that path-following methods can, in principle, be applied to solve a quasi-convex minimization.
Phan Thien Thach, Masakazu Kojima
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On Second-Order Generalized Convexity

Journal of Optimization Theory and Applications, 2015
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