—This paper devises a new means of filter diversification, dubbed multi-fold filter convolution (í µí³œ-FFC), for face recognition. On the assumption that í µí³œ-FFC receives single-scale Gabor filters of varying orientations as input, these filters are self-cross convolved by í µí³œ-fold to instantiate an offspring set. The í µí³œ-FFC flexibility also permits the self-cross convolution amongst...

Image resizing is to change an image size by upsampling or downsampling of a digital image. Most still images and video frames on digital media are given in a compressed domain. Image resizing of a compressed image can be performed in the spatial domain via decompression and recompression. In general, resizing of a compressed image in a compressed domain is much faster than that in the spatial ...

We prove that if u1, u2 : (0,∞)× Rd → (0,∞) are sufficiently well-behaved solutions to certain heat inequalities on Rd then the function u : (0,∞) × Rd → (0,∞) given by u1/p = u 1/p1 1 ∗ u 1/p2 2 also satisfies a heat inequality of a similar type provided 1 p1 + 1 p2 = 1 + 1 p . On iterating, this result leads to an analogous statement concerning n-fold convolutions. As a corollary, we give a d...

"Let $C$ and $S^*$ stand for the classes of convex starlike mapping in $\D$, let $\cc$, $\cs$ denote closures respective hulls. We derive characterizations when convolution mappings $\cc$ is convex, as well starlike. Several terms are given convexity within starlikeness $\cs$. also obtain a correspondence via between $S^*$, correspondences subclasses that have $n$-fold symmetry."

In this paper we report results for recognizing colorectal NBI endoscopic images by using features extracted from convolutional neural network (CNN). In this comparative study, we extract features from different layers from different CNN models, and then train linear SVM classifiers. Experimental results with 10-fold cross validations show that features from first few convolution layers are eno...

This paper gives a rigorous analysis of trained Generalized Hamming Networks (GHN) proposed by Fan (2017) and discloses an interesting finding about GHNs, i.e., stacked convolution layers in a GHN is equivalent to a single yet wide convolution layer. The revealed equivalence, on the theoretical side, can be regarded as a constructive manifestation of the universal approximation theorem Cybenko ...

The nonparametric estimation of the m-fold convolution power of an unknown function f is considered. We introduce an estimator based on a plug-in approach and a wavelet hard thresholding estimator. We explore its theoretical asymptotic performances via the mean integrated squared error assuming that f has a certain degree of smoothness. Applications and numerical examples are given for the stan...

introduction radiotherapy with small fields is used widely in newly developed techniques. additionally, dose calculation accuracy of treatment planning systems in small fields plays a crucial role in treatment outcome. in the present study, dose calculation accuracy of two commercial treatment planning systems was evaluated against monte carlo method. materials and methods siemens once or linea...

The weighted semigroup algebra Mb (S, w) is studied via its identification with Mb (S) together with a weighted algebra product *w so that (Mb (S, w), *) is isometrically isomorphic to (Mb (S), *w). This identification enables us to study the relation between regularity and amenability of Mb (S, w) and Mb (S), and improve some old results from discrete to general case.