... they contain. We propose to com-pute the conditional similarity score by linearlycombining the scores conditioned on the sourceopinion (i.e. f(i → j|Op(vi))) and the destina-tion opinion (i.e. ... graphmodel as a condition. The second model, calledOpinion HITS model, considers the sentences asauthorities and both question topic informationand opinion sentiment information as hubs. Theexperiment ... AFNLPAnswering Opinion Questions with RandomWalkson Graphs Fangtao Li, Yang Tang, Minlie Huang, and Xiaoyan ZhuState Key Laboratory on Intelligent Technology and SystemsTsinghua National Laboratory...
... route.A basic operational and computational feature of the a priori optimization ap-proach is that the optimization problem considered has to be solved only once; next,the only “tool” needed ... dealing, on the one hand, with somemathematical preliminaries: on sets, relations and functions, on basic concepts fromgraph-theory and on some elements from discrete probabilities and, on the other ... problem ([BOL 85]) or randomness on the fact that an elementis included to a set or not, when dealing with optimization problems on set-systems or,even, randomness on the execution time of a task...
... all configurations reachable from the initial one is called configuration space, and a fixed point is a configuration from which the evolution rule can not be applied. Convergence conditions (involving ... configuration, we call configuration space, and we denote by CCFG(G,O), the set of all configurations reachable from the initial configuration O. On this set, we define the following relation: ... the evolution rule (firing a vertex) is defined by: a configuration can be transformed into another one by transferringa chipfrom one vertex along each of its outgoing edges, if it contains at...
... {L−k}nk=2.To get a hold on the latter, note that conditional on L−(k+1)= k+1≥ 0wehave the representationL−k=k+1i=1Zi,(6.2)COVER TIMES FOR PLANAR BROWNIAN MOTION AND RANDOM WALKS 447hence ... Processes 1992), 189–208, Birkh¨auser, Boston, MA (1993).[22]R. Lyons and R. Pemantle, Randomwalks in a random environment and first-passagepercolation on trees, Ann. Probab. 20 (1992), 125–136.[23]P. ... following extension of Theorem 1.2.See Section 8 for definitions and references concerning Brownian motion on manifolds.Theorem 1.3. Let M be a smooth, compact, connected, two-dimensional,Riemannian...
... valuableresource for such an application.Another interesting application is mining onlinediscussions. A threaded discussion is an electronicdiscussion in which software tools are used to ... orienta-tion from association. ACM Transactions on Infor-mation Systems, 21:315–346.Peter D. Turney. 2002. Thumbs up or thumbs down?:semantic orientation applied to unsupervised classi-fication of ... method only considersthe words it could assign a non-zero orientationvalue. If we consider all words, the accuracy willdrop to around 61%.4.1.1 Varying ParametersAs we mentioned in Section 3.4,...
... fluctuating connectivities [152, 153]in random graphs. With these rationales in place, we now define some key concepts. Formally,a random graph [177] of N nodes and average connectivity c is constructed ... a typical blocked configuration.This is quite an extraordinary result; it implies that despite the exponential dom-inance of blocked configurations, random initial conditions preferentially selecta ... Discussion 936.5 DiscussionIn the above, we have presented a finitely connected spin model on random graphs [152, 153], with the aim of examining the compaction of tapped granularmedia on a fully...
... to one of its neighbors with equal probability. The main resultof this section is that for randomwalks maximal compression is possible.Theorem 3.1. Successor searching in a one-dimensional random ... and Cmust both contain (v, X), a contradiction to theassumption that they are distinct sink components. Thus, each node (v, ∅) canreach exactly one sink component.Now consider two distinct ... graph, it can be decomposed into strongly con-nected components that induce a directed acyclic graph D. We call a stronglyconnected component of dec(G) a sink component (also called essential class...
... small changes in the distribution function of ξkonly lead to the small changes inthe distribution function of η.In the paper, we investigate the distribution function of η when we have the small ... changesin the distribution function F (x) only lead to the small changes in the distribution function Ψ(x).In this paper, we shall investigate the stability of η’s distribution function when we have ... distribution of ν.1. IntroductionLet us consider the random variable (r.v):η =νk=1ξk(1)where ξ1, ξ2, are independent identically distributed random variables with the distribution functionF...
... research onrandom laser is concentrated to the steady-state properties. Therefore, in this paper we examine the stationary operation of two-mode random microlaser. Starting from basic equations ... influence of laser parameters on the saturated values of mode intensities and Section 4 devoted to discussion and conclusion. 2. Basic equations and solving method In stationary regime, from [11] ... like John et al [7] combining the electron number equations of energy level with diffusion equation, Berger et al [8] using a Monter Carlo simulation and recently Kiang et al [9] combining...
... L 66.2 Combination of 3NL, 6NL, 9NL L 72.1 Combination of HMM, 6NL, 9NL L 72.3 Combination of HMM, 3NL, 6NL L 71.9 6 Conclusion We presented systems based on conditional random fields for ... Conditional Random Fields offer some advantages over traditional models for sequence labeling. These conditional models have mainly been introduced up to now in the information retrieval context ... International Conf. on Machine Learning, 282–289. Morgan Kaufmann, San Francisco, CA. [3] Sarawagi, S., and Cohen, W. (2004) Semi-Markov Conditional Random Fields for Information Extraction. Advances...
... note on the almost sure central limit theorem for weakly dependent random variables. Stat. Probab. Lett. 22,131–136 (1995)12This Provisional PDF corresponds to the article as it appeared upon ... full text (HTML) versions will be made available soon.A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal lawJournal ... below).For information about publishing your research in Journal of Inequalities and Applications go tohttp://www.journalofinequalitiesandapplications.com/authors/instructions/For information about other...
... the National Natural Science Foundation of China (11061012), Project supported byProgram to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of HigherLearning, ... and Katz complete conver-gence theorem for pairwise NQD random variable sequences still holds true under thestrong er condition. The result generalizes and extends the corr esponding result of ... quadrant dependent(NQD) random variables.The concept of NQD random variables was introduced by Lehmann [1].Definition 1.1 [1] Two random variables X and Y are said to be NQD random vari-ables if...
... notations, and conven-tions of the theory of intuitionistic random normed spaces as in [22], [31], [33], [34],[40], [41], [42].Definition 6.1.Ameasure distribution function is a function μ : R ® ... isanonemptyset,thenμ : X ® D is called a probabilistic meas ure on X and μ(x)isdenoted by μx.Definition 6.2.Anon-measure distribution function is a function ν : R ® [0, 1]which is right continuous, ... y))(monotonicity).If(L∗, ≤L∗, T)is an Abelian topological monoid with unit1L∗,thenTis said to be acontinuous t-norm.Definition 6.5. [44] A continuous t-normT on L*issaidtobecontinuous...
... Applications 2011, 2011:76http://www.journalofinequalitiesandapplications.com/content/2011/1/76Page 7 of 8RESEARC H Open AccessA note on the complete convergence for arraysof dependent random ... versions of Kruglov et al.Mathematics Subject Classificat ion 60F15Keywords: Complete convergence, Negatively associated random variables, Nega-tively dependent random variables1 IntroductionThe ... 8J+1JJ−2Jkni=1EX2niJ.(2:9)Hence, the result follows by conditions (i) and (ii). ■Remark 2.7. As noted in the Introduction, Chen et al. [9] have pr oved Theorem 2.6under an additional condition (see also Theorem 1.5).It...