Results 31 to 40 of about 578,785 (117)
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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Regular subgraphs of almost regular graphs [PDF]
Journal of Combinatorial Theory, Series B, 1984 AbstractSuppose every vertex of a graph G has degree k or k + 1 and at least one vertex has degree k + 1. It is shown that if k ≥ 2q − 2 and q is a prime power then G contains a q-regular subgraph (and hence an r-regular subgraph for all r < q, r ≡ q (mod 2)). It is also proved that every simple graph with maximal degree Δ ≥ 2q − 2 and average degree d
Noga Alon, Gil Kalai, Shmuel Friedland
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Non-Autonomous Maximal Regularity in Hilbert Spaces
, 2016 We consider non-autonomous evolutionary problems of the form $u'(t)+A(t)u(t)=f(t)$, $u(0)=u_0,$ on $L^2([0,T];H)$, where $H$ is a Hilbert space.
Dier, Dominik, Zacher, Rico
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Propagation of singularities around a Lagrangian submanifold of radial points [PDF]
, 2011 In this work we study the wavefront set of a solution u to Pu = f, where P is a pseudodifferential operator on a manifold with real-valued homogeneous principal symbol p, when the Hamilton vector field corresponding to p is radial on a Lagrangian ...
Haber, Nick, Vasy, András
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Function spaces and contractive extensions in Approach Theory: The role of regularity
, 2013 Two classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other, are extended to convergence-approach spaces ...
Colebunders, Eva +2 more
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Local regularity for fractional heat equations
, 2017 We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary bounded open set $\Omega\subset\mathbb{R}^N$.
D Lamberton +16 more
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, 2009 We show that stochastically continuous, time-homogeneous affine processes on the canonical state space $\Rplus^m \times \RR^n$ are always regular. In the paper of \citet{Duffie2003} regularity was used as a crucial basic assumption.
Keller-Ressel, Martin +2 more
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Regular Operator Equations: Conditions for Regularity [PDF]
Proceedings of the American Mathematical Society, 1982 Regular operator equations are causal equations admitting unique solutions and have the property that all of their limiting equations along solutions admit unique solutions. Sufficient conditions which guarantee that an operator equation x = T x x = Tx is regular are given in case T T is
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Regular and semi-regular polytopes. II
Mathematische Zeitschrift, 1940 Groupes de reflexion a 4 dimensions. Certains sous groupes d'indice petit. Construction de Wythoff et ses consequences numeriques. Polytopes a 4 dimensions. Nids d'abeilles a 4 dimensions. L'analogue a 4 dimensions du cube de Snub.
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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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