Abstract: The inventive concepts provide a method of providing a stochastic prediction system. The method includes extracting contours of patterns corresponding to a first design layout from a plurality of scanning electron microscope (SEM) images, respectively, generating a first contour histogram image based on the contours, and training a stochastic prediction model by using the first contour histogram image as an output, and by using the first design layout and a first resist image, a first aerial image, a first slope map, a first density map, and/or a first photo map corresponding to the first design layout as inputs, in which the stochastic prediction model comprises a cycle generative adversarial network (GAN).

Abstract: The inventive concepts provide a method of providing a stochastic prediction system. The method includes extracting contours of patterns corresponding to a first design layout from a plurality of scanning electron microscope (SEM) images, respectively, generating a first contour histogram image based on the contours, and training a stochastic prediction model by using the first contour histogram image as an output, and by using the first design layout and a first resist image, a first aerial image, a first slope map, a first density map, and/or a first photo map corresponding to the first design layout as inputs, in which the stochastic prediction model comprises a cycle generative adversarial network (GAN).

Abstract: A method for process proximity correction may include obtaining a point spread function (PSF) from test patterns, the test patterns including an etching process performed thereon, generating a target layout with polygonal patterns, dividing the target layout into grid cells, generating a density map including long-range layout densities, each of the long-range layout densities being obtained from the polygonal patterns located within a corresponding one of the grid cells, performing a convolution of the long-range layout densities with the PSF to obtain long-range etch skews for the grid cells, and generating an etch bias model including short-range etch skews and the long-range etch skews, each of the short-range etch skews being obtained from a neighboring region of a target pattern selected from the polygonal patterns in each of the grid cells.