By applying the probability estimation of the unavailable attributes derived from the available attributes to the neighborhood system, the suited degree of each neighbor to a given object is depicted. Therefore, the neighborhood space with guaranteed suited precision is obtained. We show how to shrink the rule search space via VPRS model for this space, and also, we will prove the incredibility...

Much research on residential mobility relies on examining people’s choices within the context of what is available in a local housing market. However, it is difficult to determine the demand for alternative housing or neighborhood types that may not be available or are available only in limited quantities. Hence, the market may not accurately reveal consumer preferences for such alternatives. W...

A metric space is said to be locally non-compact if every neighborhood contains a sequence that is bounded away from every element of the space, hence contains no accumulation point. We show within recursive mathematics that a nonvoid complete metric space is locally non-compact iff it is without isolated points. The result has an interesting consequence in computable analysis: If a complete me...

Graph based methods are among the most active and applicable approaches studied in semi-supervised learning. The problem of neighborhood graph construction for these methods is addressed in this paper. Neighborhood graph construction plays a key role in the quality of the classification in graph based methods. Several unsupervised graph construction methods have been proposed that have addresse...

OBJECTIVE Lifestyle interventions for type 2 diabetes mellitus (T2DM) are best positioned for success if participants live in supportive neighborhood environments. Deprived neighborhoods increase T2DM risk. Parks and other "green spaces" promote active lifestyles and therefore may reduce T2DM risk. We investigated association between neighborhood green space and the risk of T2DM in a large grou...

In this paper, we adopt a new factor analysis of neighborhood preserving embedding (NPE) for speaker verification under the support vector machine (SVM) framework. NPE aims at preserving the local neighborhood structure on the data and defines a low-dimensional speaker space called neighborhood preserving embedding space. We compare the proposed method with the state-of-the-art total variabilit...

By an absolute neighborhood retract (ANR) I mean a separable metrizable space which is a neighborhood retract of every separable metrizable space which contains it and in which it is closed. This generalization of Borsuk's original definition was given by Kuratowski for the purpose of enlarging the class of absolute neighborhood retracts to include certain spaces which are not compact. The spac...

Local Tangent Space Alignment (LTSA) algorithm is a classic local nonlinear manifold learning algorithm based on the information about local neighborhood space, i.e., local tangent space with respect to each point in dataset, which aims at finding the low-dimension intrinsic structure lie in high dimensional data space for the purpose of dimensionality reduction. In this paper, we present a nov...