maximizing a class of submodular utility functions

... constant-factor approximation guarantee does not apply in this case. When scoring a summary at the sub-sentence level, submodularity naturally arises. Concept-based summarization (Filatova and Hatzivassiloglou, ... 1. 3.3 Automatic summarization evaluation Automatic evaluation of summary quality is impor- tant for the research of document summarization as it avoids the labor-intensive and potentially inconsis- tent ... summarization can be viewed as a problem of submodular function maximization. We also in this section show that many standard methods for summarization are, in fact, al- ready performing submodular function...

Ngày tải lên: 23/03/2014, 16:20

Ngày tải lên: 07/08/2014, 21:21

... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. New proofs of Schur-concavity for a class of ... (sftguchun@buu.edu.cn) ISSN 1029-242X Article type Research Submission date 24 May 2011 Acceptance date 17 January 2012 Publication date 17 January 2012 Article URL http://www.journalofinequalitiesandapplications.com/content/2012/1/12 This ... your research in Journal of Inequalities and Applications go to http://www.journalofinequalitiesandapplications.com/authors/instructions/ For information about other SpringerOpen publications go...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 22/06/2014, 02:20

Ngày tải lên: 22/06/2014, 03:20

... Key Audiences Communication tactics may include traditional channels, such as media (television, radio, newspapers and magazines) and Web sites, as well as non-media channels, such as grassroots ... media for a pre-season look at the team Don't underestimate the importance and potential impact of non-media channels. Word -of- mouth can be considerably important in generating enthusiasm ... local papers ã Deskside visits - you or the coach visit local media to create connection and dialogue, and generate coverage ã Local radio and/or local TV media tours - offer to go on air and...

Ngày tải lên: 17/10/2013, 12:15

... Albarreal, M.C. Calzada, J.L. Cruz, E. Fern ´ andez-Cara, M. Mari´n, Stability and Convergence of a Parallel Fractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... Journal of Science, Mathematics - Physics 23 (2007) 201-209 Fully parallel methods for a class of linear partial differential-algebraic equations Vu Tien Dung ∗ Department of Mathematics, Mechanics, ... differential-algebraic equation (PDAE), nonnegative pencil of matrices, parallel method 1. Introduction Recently there has been a growing interest in the analysis and numerical solution of PDAEs because...

Ngày tải lên: 13/02/2014, 03:20

... abelian ∗ -subalgebra A of a finite von Neumann factor M is called semiregular if N (A) generates a factor, equivalently, if N (A)  ∩ M = C. Also, while maximal abelian ∗-subalgebras A with N (A)  = ... H relative to its von Neumann subalgebra B ⊂ N, then B is quasiregular in N. If in addition N is a type II 1 factor M and B = A is maximal abelian in M , then A is a Cartan subalgebra of M. Proof. ... is always a 2-cocycle, ∀R), there exists a type II 1 fac- tor with a Cartan subalgebra (A ⊂ M ) associated with it, via a group- measure space construction “ `a la” Murray-von Neumann. The association (A...

Ngày tải lên: 06/03/2014, 08:21

... USA *Corresponding author: manuel.delasen@ehu.es Email address: RPA: Agarwal@tamuk.edu Abstract This article discusses three weak φ-contractive conditions of rational type for a class of ... via Lemma 2.1 as follows for the case when A and B do not intersect, in general: Theorem 3.1. Assume that BABAT ∪ → ∪ : is a modified weak φ-contraction, that is, a cyclic self-map satisfying ... self-mappings under three general weak contractive conditions of rational type Manuel De la Sen *1 and Ravi P Agarwal 2 1 Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais...

Ngày tải lên: 18/06/2014, 22:20

... equations Huantao Zhu 1 and Weibing Wang ∗2 1 Hunan College of Information, Changsha, Hunan 410200, P.R. China 2 Department of Mathematics, Hunan University of Science and Technology, Xiangtan, ... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Periodic solutions for a class of higher ... study was supported by the NNSF of China (10871063) and Scientific Research Fund of Hunan Provincial Education Department (10B017). References [1] Agarwal, RP: Difference Equations and Inequalities,...

Ngày tải lên: 18/06/2014, 22:20

... purposes) mixture containing 5 mM ATP, CTP, UTP, and GTP (Phar- macia-Pfizer, Mississauga, Ontario, Canada), 0.7 àl of T7 polymerase (Ambion), and nuclease-free water to a final volume of 25 àl. The reactions ... Johnson KL, Garcia-Sastre A, Ball LA, Palese P, Ding SW: Interferon antagonist proteins of influenza and vaccinia viruses are suppressors of RNA silencing. Proc Natl Acad Sci U S A 2004, 101(5):1350-1355. 5. ... Melcher 2 , Amanda Howard 1 and Jeanmarie Verchot- Lubicz* 1 Address: 1 Department of Entomology and Plant Pathology, Oklahoma State University, Stillwater, OK 74078, USA and 2 Department of Biochemistry...

Ngày tải lên: 18/06/2014, 22:20

... the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Lyapunov-type inequalities for a class of even-order differential equations Journal ... Research Submission date 19 October 2011 Acceptance date 12 January 2012 Publication date 12 January 2012 Article URL http://www.journalofinequalitiesandapplications.com/content/2012/1/5 This peer-reviewed article ... theoretical proof and drafted the manuscript. XH participated in the design and coordination. Both of the two authors read and approved the final manuscript. References [1] Liapunov, AM: Probl`eme...

Ngày tải lên: 20/06/2014, 21:20

... canonical form of regular matrix polynomials. Linear Algebra Appl. 385, 117–130 (2004) doi:10.1186/1687-1847-2011-51 Cite this article as: Dassios: On a boundary value problem of a class of generalized ... springeropen.com Dassios Advances in Difference Equations 2011, 2011:51 http://www.advancesindifferenceequations.com/content/2011/1/51 Page 9 of 9 RESEARCH Open Access On a boundary value problem of a class of generalized ... (1980) 5. Gantmacher, FR: The Theory of Matrices, Volume I and II. Chelsea (1959) 6. Datta, BN: Numerical Linear Algebra and Applications. Cole Publishing Company (1995) 7. Dassios, IK: Solutions of...

Ngày tải lên: 20/06/2014, 22:20

... University of South China, Hengyang, Hunan 421001, People’s Republic of China Full list of author information is available at the end of the article Abstract In this paper, we consider the rule of trajectory ... RESEARCH Open Access On a class of second-order nonlinear difference equation Li Dongsheng 1* , Zou Shuliang 1 and Liao Maoxin 2 * Correspondence: lds1010@sina. com 1 School of Economics and Management, ... this equation, and the positive equilibrium point 1 of this equation is proved to be globally asymptotically stable. Mathematics Subject Classification (2000) 3 9A1 0 Keywords: rational difference equation,...

Ngày tải lên: 20/06/2014, 22:20

Ngày tải lên: 20/06/2014, 22:20

Ngày tải lên: 20/06/2014, 22:20