We revisit the definition of transverse frames and tetrad choices with regards to its application numerically generated spacetimes, in particular those from merger binary black holes. introduce concept local approximate algebraic Petrov types strong field regime. define an index $\mathcal{D}=\sqrt{12/I}\left(\Psi_2 - \Psi_3^2/\Psi_4\right)$ able discriminate between II D regions spacetime when ...

In practical machine learning, models are frequently updated, or corrected, to adapt new datasets. this study, we pose two challenges model correction. First, the effects of corrections end-users need be described explicitly, similar standard software where as release notes. Second, amount small so that corrected perform similarly old models. propose first correction method for classification r...

    Background: Giant cell tumor (GCT) of the bone is a benign neoplasm with local aggressive behavior. Distal ulna is a very rare place for GCT. Published studies have mainly focused on case reports, and thus there is no consistent treatment strategy for this tumor at this location. This retrospective study was conducted to evaluate the oncological and functional results of 2 di...

Early classification on time series data has been found highly useful in a few important applications, such as medical and health informatics, industry production management, safety and security management. While some classifiers have been proposed to achieve good earliness in classification, the interpretability of early classification remains largely an open problem. Without interpretable fea...

In literature of face recognition many methods have been proposed which extract features at multiple scales for robust classification. In this paper, we proposed a novel method which utilizes Local Polynomial Approximation (LPA) techniques to capture the directional information of the face image at different scales. LPA based filters are used to obtain directional faces from the normalized face...

Annotating protein structures is an urgent task as increasing number of protein structures of unknown function is being solved. To achieve this goal, it is critical to establish computational methods for characterizing and classifying protein local structures. We analyzed the similarity of local surface patches from 609 representative proteins considering shape and the electrostatic potential, ...

Recently, the bag-of-visual-words (BoW) model has been proven very effective for image classification. However, most researchers used local features directly while neglecting their spatial information and correlations. Besides, the encoding of local features causes some information loss which also hinders the final image classification performance. To tackle these problems, in this paper, we pr...

We show that, if U is the representation of SOe(n+1, 1) on L2(Sn) given by (2.11), and P is a bounded operator on L2(Sn), then P belongs to OPS0 1,0(S n) if and only if P (g) = U(g)PU(g)−1 is a C∞ function on SOe(n+1, 1) with values in the Banach space L(L2(Sn)). Introduction Let M be a compact C∞ manifold. Denote by OPS 1,0(M) the space of pseudodifferential operators on M , whose symbols in l...

Let S be a surface in P2 × P2 given by the intersection of a (1,1)form and a (2,2)-form. Then S is a K3 surface with two noncommuting involutions σx and σy . In 1991 the second author constructed two height functions ĥ+ and ĥ− which behave canonically with respect to σx and σy , and in 1993 together with the first author showed in general how to decompose such canonical heights into a sum of lo...

The classical k nearest neighbor (k-nn) classification assumes that a fixed global metric is defined and searching for nearest neighbors is always based on this global metric. In the paper we present a model with local induction of a metric. Any test object induces a local metric from the neighborhood of this object and selects k nearest neighbors according to this locally induced metric. To in...