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Minimum Variance Estimation of a Sparse Vector Within the Linear Gaussian Model: An

by Zvika Ben-haim, Yonina C. Eldar
"... Abstract — We consider minimum variance estimation within the sparse linear Gaussian model (SLGM). A sparse vector is to be estimated from a linearly transformed version embedded in Gaussian noise. Our analysis is based on the theory of reproducing kernel Hilbert spaces (RKHS). After a characterizat ..."
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Abstract — We consider minimum variance estimation within the sparse linear Gaussian model (SLGM). A sparse vector is to be estimated from a linearly transformed version embedded in Gaussian noise. Our analysis is based on the theory of reproducing kernel Hilbert spaces (RKHS). After a characterization of the RKHS associated with the SLGM, we derive a lower bound on the minimum variance achievable by estimators with a prescribed bias function, including the important special case of unbiased estimation. This bound is obtained via an orthogonal projection of the prescribed mean function onto a subspace of the RKHS associated with the SLGM. It provides an approximation to the minimum achievable variance (Barankin bound) that is tighter than any known bound. Our bound holds for an arbitrary system matrix, including the overdetermined and underdetermined cases. We specialize

unknown title

by Dissertationes Forestales, Kristiina Karhu, Prof Emeritus, Carl Johan Westman, Assoc Prof, Annemieke Gärdenäs , 2010
"... Temperature sensitivity of soil organic matter decomposition in boreal soils ..."
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Temperature sensitivity of soil organic matter decomposition in boreal soils

Akademisk avhandling för teknisk doktorsexamen vid

by Kungl Tekniska Högskolan, Kth Tryck , 1994
"... mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group ..."
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mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group elements are data structures in a computer. Matrices are unnecessarily large structures, and part of this thesis is concerned with small and efficient representations of a large class of Coxeter groups (including most Coxeter groups that anyone ever payed any attention to.) The main contents of the thesis can be summarized as follows. • We prove that for all Coxeter graphs constructed from an n-path of unlabelled edges by adding a new labelled edge and a new vertex (sometimes two new edges and vertices), there is a permutational representation of the corresponding group. Group elements correspond to integer n-sequences and the nodes in the path generate all n! permutations. The extra node has a more complicated action, adding a certain quantity to some of the numbers.

AGR 05

by Università Degli, Studi Della Tuscia, Dottorato Di Ricerca, Candidato Tutori, Alessandra Lagomarsino, Prof Paolo, De Angelis, Prof Stefano Grego, Prof Paolo, De Angelis
"... Responses of soil biological processes to elevated atmospheric [CO2] and nitrogen addition in a poplar plantation ..."
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Responses of soil biological processes to elevated atmospheric [CO2] and nitrogen addition in a poplar plantation

POUR L'OBTENTION DU GRADE DE DOCTEUR ÈS SCIENCES PAR

by Dominique Tschopp, Prof E. Telatar, Prof S. Diggavi, Prof M. Grossglauser, Prof J. -y, Le Boudec, Prof M. Mitzenmacher, Prof S. Shakkottai
"... 2010 to my wife, Joyce, and my family...- Résumé- ..."
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2010 to my wife, Joyce, and my family...- Résumé-

DOCTEUR EN SCIENCES

by Bhaskar Biswas, Bhaskar Biswas , 2010
"... Implementational aspects of code-based cryptography ..."
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Implementational aspects of code-based cryptography

www.biogeosciences.net/7/3669/2010/ doi:10.5194/bg-7-3669-2010 © Author(s) 2010. CC Attribution 3.0 License.

by H. Portner, H. Bugmann, A. Wolf , 2010
"... Temperature response functions introduce high uncertainty in modelled carbon stocks in cold temperature regimes ..."
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Temperature response functions introduce high uncertainty in modelled carbon stocks in cold temperature regimes

Composition du Jury

by Eric Chaumette, Cédric Richard, Professeur Universités, Yannick Berthoumieu, Professeur Universités, Pascal Chevalier Professeur, Pascal Larzabal, Professeur Universités
"... Caractérisation des problèmes conjoints de détection et d'estimation ..."
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Caractérisation des problèmes conjoints de détection et d'estimation

Scenario Generation and Reduction for Long-term and Short-term Power System Generation Planning under Uncertainties

by Yonghan Feng, James D. Mccalley, William Q. Meeker, Jo Min, Lizhi Wang
"... ii ..."
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TO CODE OR NOT TO CODE

by Présentée À La, Faculté Informatique, Et Communications, Section Des, Systèmes De Communication, Du Grade, De Docteur, Ès Sciences, Prof M. Vetterli, Prof B. Rimoldi, Prof R. Gallager, Prof A. Lapidoth, Prof J. Massey, Prof E. Telatar, Prof S. Verdú, Michael Gastpar, Amos Lapidoth, Jim Ma , 2002
"... de nationalité suisse et originaire de Zurich (ZH) et Lucerne (LU) acceptée sur proposition du jury: ..."
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de nationalité suisse et originaire de Zurich (ZH) et Lucerne (LU) acceptée sur proposition du jury:
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