Image segmentation, the process of decomposing an image into meaningful regions, is a fundamental problem in image processing and computer vision. Recently, image segmentation techniques based on active contour models with level set implementation have received considerable attention. The objective of this thesis is in the development of advanced active contour-based image segmentation methods ...

We show that maximum a posteriori (MAP) statistical methods can be used in nonparametric machine learning problems in the same way as their current applications in parametric statistical problems, and give some examples of applications. This MAPN (MAP for nonparametric machine learning) paradigm can also reproduce much more transparently the same results as regularization methods in machine lea...

Conventional statistical tests are usually called parametric tests. Parametric tests are used more frequently than nonparametric tests in many medical articles, because most of the medical researchers are familiar with and the statistical software packages strongly support parametric tests. Parametric tests require important assumption; assumption of normality which means that distribution of s...

In recent years, learning theory has been increasingly influenced by the fact that many learning algorithms have at least in part a comprehensive interpretation in terms of well established statistical theories. Furthermore, with little modification, several statistical methods can be directly cast into learning algorithms. One family of such methods stems from nonparametric regression. This pa...

Nonparametric statistical process monitoring procedures demonstrate greater efficiency than parametric methods when data significantly depart from normality. A comparison between some nonparametric procedures is conducted and the results are presented.

This paper gives a selective review on the recent development of nonparametric methods in continuous-time finance, particularly in the areas of nonparametric estimation of diffusion processes, nonparametric testing of parametric diffusion models, and nonparametric pricing of derivatives. In each financial context, we discuss suitable statistical concepts, models, procedures, as well as some of ...