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Mathematics Technical ...
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Regular Homomorphisms and Regular Maps
The authors study regular automorphisms of oriented maps. Their main concern is the problem of lifting and projecting map automorphisms. Regular homomorphisms of oriented maps essentially arise from a factorization by a subgroup of automorphisms. In this paper, this kind of map automorphisms is studied in detail.
Malnič, Aleksander +2 more
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Optimal computational and statistical rates of convergence for sparse nonconvex learning problems [PDF]
We provide theoretical analysis of the statistical and computational properties of penalized $M$-estimators that can be formulated as the solution to a possibly nonconvex optimization problem.
Liu, Han, Wang, Zhaoran, Zhang, Tong
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Regular Operator Equations: Conditions for Regularity [PDF]
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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Regularized CNN Feature Hierarchy for Hyperspectral Image Classification
Convolutional Neural Networks (CNN) have been rigorously studied for Hyperspectral Image Classification (HSIC) and are known to be effective in exploiting joint spatial-spectral information with the expense of lower generalization performance and ...
Muhammad Ahmad +2 more
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Error Estimations for Total Variation Type Regularization
This paper provides several error estimations for total variation (TV) type regularization, which arises in a series of areas, for instance, signal and imaging processing, machine learning, etc.
Kuan Li, Chun Huang, Ziyang Yuan
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Some matrix nearness problems suggested by Tikhonov regularization
The numerical solution of linear discrete ill-posed problems typically requires regularization, i.e., replacement of the available ill-conditioned problem by a nearby better conditioned one.
Noschese, Silvia, Reichel, Lothar
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We provide a characterization of r-regular sets in terms of the Lipschitz regularity of normal vector fields to the boundary.
Duarte, P., Torres, M. J.
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On fractional asymptotical regularization of linear ill-posed problems in Hilbert spaces
In this paper, we study a fractional-order variant of the asymptotical regularization method, called {\it Fractional Asymptotical Regularization (FAR)}, for solving linear ill-posed operator equations in a Hilbert space setting.
Hofmann, Bernd, Zhang, Ye
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Hadron Structure Functions in a Chiral Quark Model: Regularization, Scaling and Sum Rules [PDF]
We provide a consistent regularization procedure for calculating hadron structure functions in a chiral quark model. The structure functions are extracted from the absorptive part of the forward Compton amplitude in the Bjorken limit.
Abe +71 more
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