Results 91 to 100 of about 304,795 (244)
Iterative regularization for convex regularizers
, 2020 We study iterative regularization for linear models, when the bias is convex but not necessarily strongly convex. We characterize the stability properties of a primal-dual gradient based approach, analyzing its convergence in the presence of worst case deterministic noise.
Cesare Molinari +3 more
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Regularity of Idempotent Reflexive GP-V’-Rings
MathematicsThis paper discusses the regularity of the GP-V’-rings in conjunction with idempotent reflexivity for the first time. We mainly discuss the weak and strong regularity of the GP-V’-rings using generalized weak ideals, weakly right ideals, and quasi-ideals.
Liuwen Li, Wenlin Zou, Ying Li
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Absence of Lavrentiev gap for non-autonomous functionals with (p,q)-growth
Advances in Nonlinear Analysis, 2016 We consider non-autonomous functionals of the form ℱ(u,Ω)=∫Ωf(x,Du(x))𝑑x{\mathcal{F}(u,\hskip-0.569055pt\Omega)\hskip-0.853583pt=\hskip-0.853583pt\int% _{\Omega}f(x,\hskip-0.569055ptDu(x))\hskip-0.569055pt\,dx}, where u:Ω→ℝN{u\colon\kern-0.711319pt ...
Esposito Antonio +2 more
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Regular overrings of regular local rings [PDF]
Transactions of the American Mathematical Society, 1972 The local factorization theorem of Zariski and Abhyankar characterizes all 2 2 -dimensional regular local rings which lie between a given 2 2 -dimensional regular local ring R R and its quotient field as finite quadratic transforms of R R .
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Regularity preserving modifications of regular expressions
Information and Control, 1963 This paper is concerned with the problem of determining whether a set of sequences R\t', obtained by some given rule from a regular set of sequences R, is again a regular set. A number of such problems are solved in this paper and a basic technique is used which is easy to apply to problems of this type.
Richard Edwin Stearns, Juris Hartmanis
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On the domain of regularity of generalized axially symmetric potentials [PDF]
, 1957 Peter Henrici
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Regular factors in regular multipartite graphs
Discrete Mathematics, 2000 The paper presents sufficient conditions for a regular multipartite graph to have a regular factor and demonstrates that these are best possible. In particular, it is shown that a \(d\)-regular \(p\)-partite graph has a \(k\)-factor in the following cases: \(p= 2\); or if \(p\geq 3\) and \(d\) and \(k\) are even, plus a few other combinations.
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On Measurability and Regularity [PDF]
Proceedings of the American Mathematical Society, 1969 The author constructs non-measurable sets. Let \(P\) be a locally compact Hausdorff space and let \((P, \mathfrak M_i, \mu_i)\) be a family of measure spaces such that for each \(i\), \(\mu_i\) is regular, \(\mathfrak M_i\) contains the family of Borel sets of \(P\), and \(\mu_i(\{x_i\}) = 0\) for each \(x\in P\).
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Regular, pseudo-regular, and almost regular matrices
, 2007 We give lower bounds on the largest singular value of arbitrary matrices, some of which are asymptotically tight for almost all matrices. To study when these bounds are exact, we introduce several combinatorial concepts. In particular, we introduce regular, pseudo-regular, and almost regular matrices.
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A remark on infinity harmonic functions
Electronic Journal of Differential Equations, 2001 A real-valued function $u$ is said to be {it infinity harmonic} if it solves the nonlinear degenerate elliptic equation $-sum_{i,j=1}^nu_{x_1}u_{x_j}u_{x_ix_j}=0$ in the viscosity sense.
Michael G. Crandall, L. C. Evans
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