We provide axiomatic characterizations of two natural families of rules for aggregating equivalence relations: the family of join aggregators and the family of meet aggregators. The central conditions in these characterizations are two separability axioms. Disjunctive separability, neutrality, and unanimity characterize the family of join aggregators. On the other hand, conjunctive separability...

We first examine Howard's analysis of the Bell factorizability condition in terms of 'separability' and 'locality' and then consider his claims that the violations of Bell's inequality by the statistical predictions of quantum mechanics should be interpreted in terms of 'non-separability' rather than 'non-locality' and that 'non-separability' implies the failure of space-time as a principle of ...

In this paper, we propose a fast combined separability filter, which can selectively detect circular features such as pupils and nostrils in an image of the human face. The proposed filter is designed as a combination of multiple rectangle separability filters so that it can achieve high-speed processing and high positioning accuracy at the same time. The evaluation experiments using synthetic ...

In machine learning, the performance of a classifier depends on both model and separability/complexity datasets. To quantitatively measure separability datasets, in this study, we propose an intrinsic – Distance-based Separability Index (DSI), which is independent model. We then formally show that DSI can indicate whether distributions datasets are identical for any dimensionality. because cons...

spatial-temporal modeling of air pollutants, ground-level ozone concentrations in particular, has attracted recent attention because by using spatial-temporal modeling, can analyze, interpolate or predict ozone levels at any location. in this paper we consider daily averages of troposphere ozone over tehran city. for eliminating the trend of data, a dynamic linear model is used, then some featu...

We investigate the formal relationship between separability of processes and the types of non-interference properties they enjoy. Though intuitively appealing, separability – the ability to define a process as a parallel composition of disjoint components – alone cannot adequately prove the absence of information flow. We present a number of laws for the composition of secure systems, and an ex...

In remote sensing, the number of training samples is often limited. For hyperspectral data, it becomes more difficult to obtain accurate estimates of class statistics because of the small ratio of the training sample size to dimensionality. Generally speaking, classification performance depends on four factors: class separability, the training sample size, dimensionality, and classifier type (o...

In this paper we argue for a Separability Hypothesis as a working hypothesis for AI. There is no a priori equivalence of the terms “mind” and “cognition.” Phenomenologically, a mental state has a cognitive content as well as subjectivity and emotions. The Separability Hypothesis asserts that an architecture for intelligence is a homomorphism of the architecture for mind. None of the technical p...