This paper shows that using the tree structure generated from a Probabilistic Context Free Grammar parser adds meaningful information to language processing tasks, in particular, question identification. By using a part-of-speech representation of a sentence as a base line, this paper’s results show that adding features derived from the tree output of a Probabilistic Context Free Grammar parser...

Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(1984), 1-9] in metric spaces and extended by Choudhury et al. [Acta Mathematica Sinica, 24(8) (2008), 1379-1386] in probabilistic metric spaces. An example has also been constru...

We describe and analyze a mixture model for supervised learning of probabilistic transducers. We devise an on-line learning algorithm that eeciently infers the structure and estimates the parameters of each probabilistic transducer in the mixture. Theoretical analysis and comparative simulations indicate that the learning algorithm tracks the best transducer from an arbitrarily large (possibly ...

This article is concerned with a compositional approach for the construction of control barrier certificates large-scale interconnected stochastic systems while synthesizing hybrid controllers against high-level logic properties. Our proposed methodology involves decomposition into smaller subsystems and leverages notion <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http:/...

The notion of a probabilistic metric  space  corresponds to thesituations when we do not know exactly the  distance.  Probabilistic Metric space was  introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of  probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are  topological vector spaces and the open mapping an...

This paper considers safe control synthesis for dynamical systems with either probabilistic or worst-case uncertainty in both the dynamics model and safety constraints. We formulate novel robust (worst-case) Lyapunov function (CLF) barrier (CBF) constraints that take into account effect of case. show formulation leads to a second-order cone program (SOCP), which enables efficient stable synthes...

We survey various notions of probabilistic automata and probabilistic bisimulation, accumulating in an expressiveness hierarchy of probabilistic system types. The aim of this paper is twofold: On the one hand it provides an overview of existing types of probabilistic systems and, on the other hand, it explains the relationship between these models. We overview probabilistic systems with discret...

conclusions the influences of various facilities and barriers were different in the physical activity of elderly in kashan. the promotion of active life style should be a part of health care planning in elderly. background the supplements and decreasing the limitations are important for suitable physical activity. these factors are different in various environments. objectives the current study...