This paper presents an approach to detecting and correcting edit disfluency based on conditional random fields with variable-length features. The variable-length features consist of word, chunk and sentence features. Conditional random fields (CRF) are adopted to model the properties of the edit disfluency, including repair, repetition and restart, for edit disfluency detection. For the evaluat...

The behavior of the conditional expectation E{X I Y) under a small perturbation Z of the conditioning random variable Y is analyzed. We show that if Y and Z are independent then E(XIY + EZ) converges to E{XIY) in mean as E --* 0 for all integrable X, provided the distribution of Y is absolutely continuous. We also show that the limit is E{X 1 Y, Z} rather than E(X 1 Y}, i.e., there is no stabil...

Grade of membership (GoM) analysis was introduced in 1974 [7] as a means of analyzing multivariate categorical data. Since then, it has been successfully applied to many problems. The primary goal of GoM analysis is to derive properties of individuals based on results of multivariate measurements; such properties are given in the form of the expectations of a hidden random variable (state of an...

We present a notion of quantum Markov random field based on a concept of conditional independence replacing the (usual) requirement of conditional expectation onto a desired algebra by conditional expectation onto a subalgebra, adopted to the special case that all subalgebras of the filtration are type I factors. It is immediate to introduce the classical notions like pairwise, local, global an...

This article studies the problem of nonparametric estimation conditional model a scalar response variable $Y$ given functional random $X$. Our estimate is based on semi recursive approach. The asymptotic properties proposed estimators are established Under Mixing Conditions.

The ordinary least squares estimation is based on minimization of the squared distance of the response variable to its conditional mean given the predictor variable. We extend this method by including in the criterion function the distance of the squared response variable to its second conditional moment. It is shown that this “second-order” least squares estimator is asymptotically more effici...