Asymptotically minimax empirical Bayes estimation of a sparse normal mean vector
, 2014 For the important classical problem of inference on a sparse high-dimensional normal mean vector, we propose a novel empirical Bayes model that admits a posterior distribution with desirable properties under mild conditions.
Martin, Ryan, Walker, Stephen G.
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On geodesic flows with symmetries and closed magnetic geodesics on orbifolds [PDF]
, 2017 Let $Q$ be a closed manifold admitting a locally-free action of a compact Lie group $G$. In this paper we study the properties of geodesic flows on $Q$ given by Riemannian metrics which are invariant by such an action.
Asselle, Luca, Schmäschke, Felix
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A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators
Advances in Nonlinear Analysis, 2015 We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka +2 more
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Discussion: The Dantzig selector: Statistical estimation when $p$ is much larger than $n$ [PDF]
, 2007 Discussion of ``The Dantzig selector: Statistical estimation when $p$ is much larger than $n$'' [math/0506081]Comment: Published in at http://dx.doi.org/10.1214/009053607000000442 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute ...
Cai, T. Tony, Lv, Jinchi
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Convex Banding of the Covariance Matrix [PDF]
, 2014 We introduce a new sparse estimator of the covariance matrix for high-dimensional models in which the variables have a known ordering. Our estimator, which is the solution to a convex optimization problem, is equivalently expressed as an estimator which ...
Bien, Jacob +2 more
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On the Group Rings of Abelian Minimax Groups
Journal of Algebra, 2001 An Abelian group \(G\) is called minimax if it contains a finitely generated subgroup \(H\) such that \(G/H\) satisfies the minimal condition for subgroups. The set of primes \(p\) such that \(G\) has an element of order \(p\) is denoted by \(\pi(G)\), and we write \(\text{spect}(G)=\pi(G/H)\), where \(H\) is a finitely generated subgroup of \(G\) with
openaire +3 more sources
On invariant ideals in crossed products of torsion-free minimax nilpotent groups
Researches in MathematicsLet $R$ be a finitely generated commutative domain and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank.
A.V. Tushev
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Sion's mini-max theorem and Nash equilibrium in a multi-players game with two groups which is zero-sum and symmetric in each group [PDF]
, 2018 We consider the relation between Sion's minimax theorem for a continuous function and a Nash equilibrium in a multi-players game with two groups which is zero-sum and symmetric in each group. We will show the following results. 1. The existence of Nash
Satoh, Atsuhiro, Tanaka, Yasuhito
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A unified minimax result for restricted parameter spaces
, 2012 We provide a development that unifies, simplifies and extends considerably a number of minimax results in the restricted parameter space literature. Various applications follow, such as that of estimating location or scale parameters under a lower (or ...
Marchand, Éric, Strawderman, William E.
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Dynamic Linear Discriminant Analysis in High Dimensional Space [PDF]
, 2019 High-dimensional data that evolve dynamically feature predominantly in the modern data era. As a partial response to this, recent years have seen increasing emphasis to address the dimensionality challenge.
Chen, Ziqi, Jiang, Binyan, Leng, Chenlei
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