Blum and Mitchell introduced a model of learning in (Blum & Mitchell, 1998) where each instance X is composed of two views (X1; X2) with X1 conditionally independent of X2 given the label of X . They showed that the target concept is learnable using X2 and the labels of a weak predictor f on X1 because the labels generated by f behave like the actual label corrupted by independent classificatio...

Goodness-of-fit and symmetry tests are proposed for the innovation distribution in generalized autoregressive conditionally heteroscedastic models. The tests utilize an integrated distance involving the empirical characteristic function (or the empirical Laplace transform) computed from properly standardized observations. A bootstrap version of the tests serves the purpose of studying the small...

We define the notion of conditionally monotone product as a part of conditionally free product, which naturally includes monotone and Boolean products. Then we define conditionally monotone cumulants which are useful to calculate the limit distributions in central limit theorem and Poisson’s law of small numbers. Moreover, we introduce deformed convolutions arising from the conditionally monoto...

in this research fe-tio2 nanocomposites with different molar ratios of fe/ti were prepared as nano-photocatalyst using a modified sol-gel process at ambient temperature. crystallographic properties of nanocomposites were characterized by x-ray diffraction (xrd). surface morphology and mean particle size of nanocomposites were specified by field emission scanning electron microscopy (fesem) and ...

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process composition. Abstract processes are specified as CLL sequents describing the types of input and output resources. The proofs-as-processes paradigm and its r...