All continuous translation invariant complex-valued valuations on Lebesgue measurable functions are completely classified. And all rotation spherical also

in this paper, we aim to overcome three major shortcomings of the fdh (free disposal hull) directional distance function through developing two new, named linear and fractional cdfdh, complete fdh measures of efficiency. to accomplish this, we integrate the concepts of similarity and fdh directional distance function. we prove that the proposed measures are translation invariant and unit invari...

The fractional Laplacian (−�)γ/2 commutes with the primary coordination transformations in the Euclidean space Rd: dilation, translation and rotation, and has tight link to splines, fractals and stable Levy processes. For 0 < γ < d, its inverse is the classical Riesz potential Iγ which is dilationinvariant and translation-invariant. In this work, we investigate the functional properties (contin...

We present a machine translation framework based on Kernel Regression techniques. The translation process is modeled as a stringto-string mapping. For doing so, first both source and target strings are mapped to a natural vector space obtaining feature vectors. Afterwards, a translation mapping is defined from the source feature vector to the target feature vector. This translation mapping is l...

Xiong et al. presented a translationand scale-invariant adaptive wavelet transform. We show that their renormalized signal (pre-wavelet transform) is already translation- and scale-invariant. Thus, it is not just invariant under the wavelet transform. We give a necessary and sufficient condition for renormalized signals to be affine transform invariant.

the present paper investigated the effectiveness of concept mapping as a learning strategy on efl students’ self-regulation (metacognitive self-regulation, time and study environment, effort regulation, peer learning, and help seeking). sixty university students participated in the study. they were randomly assigned to control and experimental groups, each including thirty students. they were a...

A fundamental problem in object recognition is the development of image representations that are invariant to common transformations such as translation, rotation, and small deformations. There are multiple hypotheses regarding the source of translation invariance in CNNs. One idea is that translation invariance is due to the increasing receptive field size of neurons in successive convolution ...