Results 11  20
of
914,993
Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
Abstract

Cited by 5350 (67 self)
 Add to MetaCart
was the exploration of variations around a point, within the bounds imposed by the constraints, in order to help characterize solutions and portray them in terms of ‘variational principles’. Notions of perturbation, approximation and even generalized differentiability were extensively investigated. Variational theory
PreprintNr Lipschitz minimizers of the well problem having gradients of bounded variation
"... of the well problem having gradients of bounded variation by ..."
Dynamic topic models
 In ICML
, 2006
"... Scientists need new tools to explore and browse large collections of scholarly literature. Thanks to organizations such as JSTOR, which scan and index the original bound archives of many journals, modern scientists can search digital libraries spanning hundreds of years. A scientist, suddenly ..."
Abstract

Cited by 656 (28 self)
 Add to MetaCart
Scientists need new tools to explore and browse large collections of scholarly literature. Thanks to organizations such as JSTOR, which scan and index the original bound archives of many journals, modern scientists can search digital libraries spanning hundreds of years. A scientist, suddenly
On the Use of Dual Norms in Bounded Variation Type Regularization
 Weickert (Eds.), Geometric Properties of Incomplete Data, in: Computational Imaging and Vision
, 2004
"... Recently Y. Meyer gave a characterization of the minimizer of the RudinOsherFatemi functional in terms of the Gnorm. In this work we generalize this result to regularization models with higher order derivatives of bounded variation. This requires us to define generalized Gnorms. We present some ..."
Abstract

Cited by 11 (1 self)
 Add to MetaCart
Recently Y. Meyer gave a characterization of the minimizer of the RudinOsherFatemi functional in terms of the Gnorm. In this work we generalize this result to regularization models with higher order derivatives of bounded variation. This requires us to define generalized Gnorms. We present some
Orthonormal bases of compactly supported wavelets
, 1993
"... Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp. 90 ..."
Abstract

Cited by 2182 (27 self)
 Add to MetaCart
Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp
Stochastic Perturbation Theory
, 1988
"... . In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a firstorder perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating the variatio ..."
Abstract

Cited by 886 (35 self)
 Add to MetaCart
the variation in the perturbed quantity. Up to the higherorder terms that are ignored in the expansion, these statistics tend to be more realistic than perturbation bounds obtained in terms of norms. The technique is applied to a number of problems in matrix perturbation theory, including least squares
ORTHOGONAL POLYNOMIALS WITH RECURSION COEFFICIENTS OF GENERALIZED BOUNDED VARIATION
"... Abstract. We consider probability measures on the real line or unit circle with Jacobi or Verblunsky coefficients satisfying an ℓp condition and a generalized bounded variation condition. This latter condition requires that a sequence can be expressed as a sum of sequences β (l), each of which has r ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
Abstract. We consider probability measures on the real line or unit circle with Jacobi or Verblunsky coefficients satisfying an ℓp condition and a generalized bounded variation condition. This latter condition requires that a sequence can be expressed as a sum of sequences β (l), each of which has
Why Do Some Countries Produce So Much More Output Per Worker Than Others?
, 1998
"... Output per worker varies enormously across countries. Why? On an accounting basis, our analysis shows that differences in physical capital and educational attainment can only partially explain the variation in output per worker — we find a large amount of variation in the level of the Solow residual ..."
Abstract

Cited by 2363 (22 self)
 Add to MetaCart
Output per worker varies enormously across countries. Why? On an accounting basis, our analysis shows that differences in physical capital and educational attainment can only partially explain the variation in output per worker — we find a large amount of variation in the level of the Solow
Bounded Variation of { V.} and its Limit 1
"... Abstract: This note studies relations between lim II. and the lower longrun average value C_V) in dynamic programming. It is shown that a certain bounded variation conditions of { V.} implies that lim V. =__V. 1 ..."
Abstract
 Add to MetaCart
Abstract: This note studies relations between lim II. and the lower longrun average value C_V) in dynamic programming. It is shown that a certain bounded variation conditions of { V.} implies that lim V. =__V. 1
ON THE CONVOLUTION OF FUNCTIONS OF GENERALIZED BOUNDED VARIATIONS
"... Abstract. Let f and g be 2pi periodic functions. If f ∈ L1[0, 2pi] and g is from BV (p)[0, 2pi] or, Lip(α, p)[0, 2pi] or, r−BV [0, 2pi], then f convolution g inherit the same property. ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
Abstract. Let f and g be 2pi periodic functions. If f ∈ L1[0, 2pi] and g is from BV (p)[0, 2pi] or, Lip(α, p)[0, 2pi] or, r−BV [0, 2pi], then f convolution g inherit the same property.
Results 11  20
of
914,993