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[1990] Proceedings. 10th International Conference on Pattern Recognition, 2002
Regularization has become an important tool for solving many ill-posed problems in approximation theory-for example, in computer vision-including surface reconstruction, optical flow, and shape from shading. The authors attempt to determine whether the approach taken in regularization is always the correct one, and to what extent the results of ...
D. Keren, M. Werman
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Regularization has become an important tool for solving many ill-posed problems in approximation theory-for example, in computer vision-including surface reconstruction, optical flow, and shape from shading. The authors attempt to determine whether the approach taken in regularization is always the correct one, and to what extent the results of ...
D. Keren, M. Werman
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1987
This book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is 'close' to a power of x. Such functions are much more than a convenient extension of powers.
N. H. Bingham +2 more
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This book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is 'close' to a power of x. Such functions are much more than a convenient extension of powers.
N. H. Bingham +2 more
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Regularization of Nonmonotone Variational Inequalities
Applied Mathematics and Optimization, 2006In this paper we extend the Tikhonov-Browder regularization scheme from monotone to rather a general class of nonmonotone multivalued variational inequalities. We show that their convergence conditions hold for some classes of perfectly and nonperfectly competitive economic equilibrium problems. © 2006 Springer Science+Business Media, Inc.
Konnov I., Ali M., Mazurkevich E.
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Hidden Regular Variation, Second Order Regular Variation and Asymptotic Independence
Extremes, 2002This paper deals with a survey of several related asymptotic properties of multivariate distributions connected with the notion of regular variation. The author gives the definition of multivariate regular variation in terms of vague convergence of measure. Such an orientation is more natural when considering changes of coordinate systems.
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1998
In this chapter we deal with variational integrals $$F(u,\Omega ): = \int\limits_\Omega {f(x,u(x),Du(x))dx} $$ (1) defined on smooth maps u:Ω ⊂ ℝ n → ℝ N , which are regular, i.e., such that $$F({\text{u}},\Omega ) \geqslant v{H^n}({g_u}_{,\Omega })v > 0$$ for all admissible u. Our goal is to find weak minimizers in suitable classes by
Mariano Giaquinta +2 more
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In this chapter we deal with variational integrals $$F(u,\Omega ): = \int\limits_\Omega {f(x,u(x),Du(x))dx} $$ (1) defined on smooth maps u:Ω ⊂ ℝ n → ℝ N , which are regular, i.e., such that $$F({\text{u}},\Omega ) \geqslant v{H^n}({g_u}_{,\Omega })v > 0$$ for all admissible u. Our goal is to find weak minimizers in suitable classes by
Mariano Giaquinta +2 more
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Intermediate Regular and Π Variation
Proceedings of the London Mathematical Society, 1994A generalization of regular variation is discussed which is intermediate to extended regular variation and \(O\)-regular variation. Analogous to this intermediate regular variation is intermediate \(\Pi\)-variation, a generalization of \(\Pi\)-variation.
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Some Regular and Non Regular Variational Problems
1998In this chapter we shall extend some of the methods and results of Ch. 4 to more general situations. In Sec. 5.1 we deal with Oseen-Frank energy for liquid crystals developing a theory which parallels the ones for harmonic maps from B 3 into S 2. Less complete is the theory for energy minimizing maps from a generic manifold X into S 2 and from a 2 ...
Mariano Giaquinta +2 more
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