We derive a beautiful series expansion for Spearman’s rho, ρ(θ) of the Ali-Mikhail-Haq (AMH) copula with paramater θ which is also called α or θ. Further, via experiments we determine the cutoffs to be used for practically fast and accurate computation of ρ(θ) for all θ ∈ [−1, 1].

We show how to find series expansions for π of the form π = ∞ n=0 S(n) mn pn a n , where S(n) is some polynomial in n (depending on m, p, a). We prove that there exist such expansions for m = 8k, p = 4k, a = (−4) k , for any k, and give explicit examples for such expansions for small values of m, p and a.

In this paper we give a brief overview of the Webis group’s participation in the TREC 2012 Session track. Our runs focus on three research questions: (1) distinguishing low risk sessions where we want to involve session knowledge from those where we don’t, (2) examining conservative query expansion (only few expansion terms based on keywords from previous queries and seen/clicked documents/titl...

We prove that a two-variable p-adic lq-function has the series expansion lp,q s, t, χ 2 q/ 2 F ∑F a 1, p,a 1 −1 a χ a qa/〈a pt〉 ∑∞ m 0 −s m F/〈a pt〉 mE∗ m,qF which interpolates the values lp,q −n, t, χ E∗ n,χn,q pt − pχn p 2 q/ 2 qp E∗ n,χn,q t , whenever n is a nonpositive integer. The proof of this original construction is due to Kubota and Leopoldt in 1964, although the method given in this ...

It is the first time that the Chinese Information Processing group of NLPR participates in TREC. Our goal in this year is to test our IR system and get some experience about the TREC evaluation. So, we select two retrieval tasks: Novelty Track and Robust Track. We build a new IR system based on two key technologies: Window-based weighting method and Semantic Tree Model for query expansion. In t...

Michael Symonds1,3, Peter Bruza1, Guido Zuccon2, Bevan Koopman1,2, Laurianne Sitbon1, Ian Turner1 1Queensland University of Technology, Brisbane, QLD 4001 2Australian e-Health Research Centre, CSIRO, Brisbane, QLD 4001 [email protected]; [email protected]; [email protected] [email protected]; [email protected]; [email protected] 3 Corresponding author (phone: +614...

We present a flexible, yet cost-effective prototyping platform for hybrid hardware/software systems. Our approach is based on combining off-the-shelf hardware components with custom software to arrive at an encompassing solution. We address the hybrid nature by tightly coupling a conventional processor with configurable logic on a single PCI expansion card.

This paper briefly describes the Qatar Computing Research Institute (QCRI) participation in the TREC 2011 Microblog track. The focus of our TREC submissions was on using a generative graphic model to perform query expansion. We trained a model that attempted to predict appropriate hashtags to expand tweets as well as queries. In essence, we used hashtags to represent latent topics in tweets.