extensive research has been devoted to economic production quantity (epq) problem. however, little atten-tion has been paid to problems where depreciation cost and process quality cost must be considered, simulta-neously. in this paper, we consider the economic production quantity model of minimizing the annual total cost subject to depreciation cost and process quality cost, where depreciation...

a reproducing kernel hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. in this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. the analytical solution is represented in the form of series in the reproducing kernel space. some numerical ...

We construct parametric active contours (snakes) for outlining cells in histology images. These snakes are defined in terms of cubic B-spline basis functions. We use a steerable ridge detector for obtaining a reliable map of the cell boundaries. Using the contour information thus obtained, we compute a distance map and specify it as one of the snake energies. To ensure smooth contours, we also ...

This paper establishes the (nearly) optimal approximation error characterization of deep rectified linear unit (ReLU) networks for smooth functions in terms both width and depth simultaneously. To that end, we first prove multivariate polynomials can be approximated by ReLU $\mathcal{O}(N)$ $\mathcal{O}(L)$ with an $\mathcal{O}(N^{-L})$. Through local Taylor expansions their network approximati...