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In this short note we give characterizations for objective sets and objective functions as defined in D. Y. Gao and C. Wu's paper arxiv:1104.2970v2.

Optimization and Control · Mathematics 2018-12-27 C. Zalinescu

Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2009-09-29 Lexin Li , Christopher J. Nachtsheim

Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2009-09-29 Bing Li

Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2007-08-30 Ronald Christensen

Jayanta Kumar Ghosh is one of the most extraordinary professors in the field of Statistics. His research in numerous areas, especially asymptotics, has been groundbreaking, influential throughout the world, and widely recognized through…

Statistics Theory · Mathematics 2008-06-30 Bertrand Clarke , Subhashis Ghosal

In an earlier paper we introduced the notion of 'bifurcating continued fractions' in a heuristic manner. In this paper a formal theory is developed for the 'bifurcating continued fractions'.

General Mathematics · Mathematics 2007-05-23 Ashok Kumar Mittal , Ashok Kumar Gupta

This paper concerns partial groups, objective partial groups, and (finite) localities, with special attention given to the quotient of a locality by a partial normal subgroup.

Group Theory · Mathematics 2021-11-18 Andrew Chermak

I review the problem of the choice of the priors from the point of view of a physicist interested in measuring a physical quantity, and I try to show that the reference priors often recommended for the purpose (Jeffreys priors) do not fit…

Data Analysis, Statistics and Probability · Physics 2007-05-23 G. D'Agostini

Rejoinder of "Impact of Frequentist and Bayesian Methods on Survey Sampling Practice: A Selective Appraisal" by J. N. K. Rao [arXiv:1108.2356]

Methodology · Statistics 2011-08-22 J. N. K. Rao

This is the extended version of a talk presented at the J.W.Goethe Universitaet Frankfurt a. M. and at the same time a preview at a forthcoming extensive publication on the same subject. It is shown that there is a common background…

Mathematical Physics · Physics 2007-05-23 Hans F. de Groote

It is noted that some results of the author's research papers cited in the comprehensive review paper "The Science of Sungrazers, Sunskirters, and Other Near-Sun Comets" by G. H. Jones et al. (2018) have been factually misrepresented. The…

Earth and Planetary Astrophysics · Physics 2019-08-30 Zdenek Sekanina

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Geert Molenberghs , Michael G. Kenward , Geert Verbeke

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

Methodology · Statistics 2010-10-06 Thomas A. Louis

The purpose of this paper is to present the notion of quotient of supergroups in different categories using the unified treatment of the functor of points and to examine some physically interesting examples.

Rings and Algebras · Mathematics 2008-05-22 L. Balduzzi , C. Carmeli , R. Fioresi

This survey article is an introduction to Diophantine Geometry at a basic undergraduate level. It focuses on Diophantine Equations and the qualitative description of their solutions rather than detailed proofs.

Algebraic Geometry · Mathematics 2018-08-07 Pranabesh Das , Amos Turchet

This is an informal discussion on one of the basic problems in the theory of empirical processes, addressed in our preprint "Combinatorics of random processes and sections of convex bodies", which is available at ArXiV and from our web…

Functional Analysis · Mathematics 2007-05-23 Mark Rudelson , Roman Vershynin

Lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.

General Relativity and Quantum Cosmology · Physics 2020-03-09 José Natário

This is a write-up of a two hour talk at the Simons workshop. It contains an elementary introduction to F-theory and may be useful for people new to the subject.

High Energy Physics - Theory · Physics 2008-09-24 Martijn Wijnholt

Multiple Object Tracking (MOT) has gained increasing attention due to its academic and commercial potential. Although different approaches have been proposed to tackle this problem, it still remains challenging due to factors like abrupt…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Wenhan Luo , Junliang Xing , Anton Milan , Xiaoqin Zhang , Wei Liu , Tae-Kyun Kim

M\"obius inversion, originally a tool in number theory, was generalized to posets for use in group theory and combinatorics. It was later generalized to categories in two different ways, both of which are useful. We provide a unifying…

Category Theory · Mathematics 2013-03-12 Tom Leinster