A divide-and-conquer based approach for computing the Moore-Penrose pseudo-inverse of the combinatorial Laplacian matrix (L) of a simple, undirected graph is proposed. The nature of the underlying sub-problems is studied in detail by means of an elegant interplay between L and the effective resistance distance (Ω). Closed forms are provided for a novel two-stage process that helps compute the p...

We investigate the incremental stability properties of Itô stochastic dynamical systems. Specifically, we derive a stochastic version of nonlinear contraction theory that provides a bound on the mean square distance between any two trajectories of a stochastically contracting system. This bound can be expressed as a function of the noise intensity and the contraction rate of the noise-free syst...

The analysis of presupposition projection lead researchers to posit in the early 1980's that the meaning of a clause should be viewed as its Context Change Potential rather than as its truth conditions (Heim 1983, following Stalnaker 1974). We argue that this 'dynamic turn' was misguided, and that it leads straight into a dilemma: either one follows Stalnaker in his pragmatic analysis, in which...

Over the past few years, a considerable number of studies have been made on Support Vector Machines (SVMs) in many domains to improve classification or prediction. However, SVMs request high computational time and memory when the datasets are large. Although incremental learning techniques are viewed as one possible solution developed to reduce the computation complexity of the scalability prob...

This paper introduces a methodology for differential nonlinear stability analysis using contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct steps: the descriptions of two systems to be compared (the plant and the observer in the case of observer convergence analysis, the plant and the controller in the case of tracking controller analysis), the definition of...

Why should computers interpret language incremen-tally? In recent years psycholinguistic evidence for in-cremental interpretation has become more and more compelling, suggesting that humans perform semantic interpretation before constituent boundaries, possibly word by word. However, possible computational applications have received less attention. In this paper we consider various potential ap...

Some people believe that their own health is rather malleable and can be changed (incremental theory), whereas other relatively fixed (entity theory). Previous research suggests individuals who hold a strong incremental theory of have more positive health-related attitudes engage in health-promoting behaviors everyday life. However, less known about the interpersonal effects an health. A could ...

Previous theories of myopia development involved subtle and complex processes such as the sensing and analyzing of chromatic aberration, spherical aberration, spatial gradient of blur, and spatial frequency content of the retinal image. However, these theories have not been able to explain all the diverse experimental results, which has been accomplished by our newly proposed incremental retina...

In today’s changing world huge amount of data is generated and transferred frequently. Although the data is sometimes static but most commonly it is dynamic and transactional. New data that is being generated is getting constantly added to the old/existing data. To discover the knowledge from this incremental data, one approach is to run the algorithm repeatedly for the modified data sets which...