Results 31 to 40 of about 1,290,281 (292)
Information-Geometric Approach for a One-Sided Truncated Exponential Family
Entropy, 2023 In information geometry, there has been extensive research on the deep connections between differential geometric structures, such as the Fisher metric and the α-connection, and the statistical theory for statistical models satisfying regularity ...
Masaki Yoshioka, Fuyuhiko Tanaka
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Metric Regularity of Newton's Iteration
SIAM Journal on Control and Optimization, 2011 For a version of Newton's method applied to a generalized equation with a parameter, we extend the paradigm of the Lyusternik–Graves theorem to the framework of a mapping acting from the pair “parameter-starting point” to the set of corresponding convergent Newton sequences. Under ample parameterization, metric regularity of the mapping associated with
Francisco J. Aragón Artacho +4 more
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Analysis and Geometry in Metric Spaces, 2019 The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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Metric Regularity Properties in Bang-Bang Type Linear-Quadratic Optimal Control Problems
Set-Valued and Variational Analysis, 2018 The paper investigates the Lipschitz/Hölder stability with respect to perturbations of optimal control problems with linear dynamic and cost functional which is quadratic in the state and linear in the control variable.
J. Preininger, T. Scarinci, V. Veliov
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Note on the Regularity of Nonadditive Measures
Journal of Applied Mathematics, 2013 We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff's theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact ...
Toshikazu Watanabe +2 more
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Characterization of quadratic growth of extended-real-valued functions
Journal of Inequalities and Applications, 2016 This paper shows that the sharpest possible bound in the second-order growth condition of a proper lower semicontinuous function can be attained under some assumptions. We also establish a relationship among strong metric subregularity, quadratic growth,
Jin jiang Wang, Wen Song
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On the regularity of Ricci flows coming out of metric spaces [PDF]
Journal of the European Mathematical Society (Print), 2019 We consider smooth, not necessarily complete, Ricci flows, (M,g(t))t∈(0,T) with Ric(g(t))≥−1 and |Rm(g(t))|≤c/t for all t∈(0,T) coming out of metric spaces (M,d0) in the sense that (M,d(g(t)),x0)→(M,d0,x0) as t↘0 in the pointed Gromov-Hausdorff sense. In
Alix Deruelle, F. Schulze, Miles Simon
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Metrically complete regular rings [PDF]
Transactions of the American Mathematical Society, 1982 This paper is concerned with the structure of those (von Neumann) regular rings R which are complete with respect to the weakest metric derived from the pseudo-rank functions on R, known as the N*-metric. It is proved that this class of regular rings includes all regular rings with bounded index of nilpotence, and all 80-continuous regular rings.
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On metric regularity of Reed–Muller codes [PDF]
Designs, Codes and Cryptography, 2020 In this work we study metric properties of the well-known family of binary Reed-Muller codes. Let $A$ be an arbitrary subset of the Boolean cube, and $\widehat{A}$ be the metric complement of $A$ -- the set of all vectors of the Boolean cube at the maximal possible distance from $A$.
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Metric sub-regularity in optimal control of affine problems with free end state
E S A I M: Control, Optimisation and Calculus of Variations, 2020 The paper investigates the property of Strong Metric sub-Regularity (SMsR) of the mapping representing the first order optimality system for a Lagrange-type optimal control problem which is affine with respect to the control.
N. Osmolovskii, V. Veliov
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