We design a new co-occurrence based word association measure by incorporating the concept of significant cooccurrence in the popular word association measure Pointwise Mutual Information (PMI). By extensive experiments with a large number of publicly available datasets we show that the newly introduced measure performs better than other co-occurrence based measures and despite being resource-li...

We establish pointwise andW−1 ∞ estimates for finite element methods for a class of second-order quasilinear elliptic problems defined on domains Ω in Rn. These estimates are localized in that they indicate that the pointwise dependence of the error on global norms of the solution is of higher order. Our pointwise estimates are similar to and rely on results and analysis techniques of Schatz fo...

In this paper we study pointwise projectively related Einstein metrics (having the same geodesics as point sets). We show that pointwise projectively related Einstein metrics satisfy a simple equation along geodesics. In particular, we show that if two pointwise projectively related Einstein metrics are complete with negative Einstein constants , then one is a multiple of another.

In this paper we focus on the global-in-time existence and the pointwise estimates of solutions to the Cauchy problem for the semilinear dissipative wave equation in multi-dimensions. By using the method of Green function combined with the energy estimates, we obtain the pointwise estimates of the solution. keywords: semilinear dissipative wave equation, pointwise estimates, Green function. MSC...

OBJECTIVE To compare performance of pointwise linear regression, Glaucoma Change Probability Analysis (GCPA), and the Advanced Glaucoma Intervention Study (AGIS) method in predicting visual field progression in glaucoma. DESIGN Longitudinal visual field data from AGIS. Proportion of progressing eyes and time to progression were the main outcome measures. One hundred fifty-six patients with 8 ...

Function estimation over the Besov spaces under pointwise r (1 ≤ r < ∞) risks is considered. Minimax rates of convergence are derived using a constrained risk inequality and wavelets. Adaptation under pointwise risks is also considered. Sharp lower bounds on the cost of adaptation are obtained and are shown to be attainable by a wavelet estimator. The results demonstrate important differences b...

In the original version of the present paper submitted in 1995, we stated: "As far as we know it may be possible to prove that, if H and K are two compact Hausdorff spaces and (C(H), pointwise) and (C(K), pointwise) are both a-fragmented, then (C(HxK), pointwise) is also a-fragmented. If this is so, then the condition that for each finite subset O of F the space C(U {Kv: (pe}, pointwise) is ...

A wind field model can be used to evaluate the accuracy of pointwise ambiguity removal for NASA Scatterometer (NSCAT) data. Errors in pointwise ambiguity removal result in large model-fit errors when the pointwise wind estimates are assimilated into the model. By thresholding the error, regions containing ambiguity removal error can be identified. For these regions, the ambiguity selection can ...

A simple wind field model can be used to evaluate the accuracy of pointwise ambiguity removal for NASA Scatterometer (NSCAT) data. Errors in pointwise ambiguity removal result in large model-fit errors when the pointwise wind estimates are assimilated into the model. By thresholding the error, regions containing ambiguity removal error can be identified. For many of these regions, the ambiguity...

Abstract We consider non-local Schrödinger operators $$H=-L-V$$ H = - L V in $$L^2(\mathbb {R}^d)$$ 2 ( R d ) ,...