KTH CSC Course Plan, Spring 2009, DD2447: Statistical Methods in Computer Science.(6hp, 6ECTS) Teacher: Stefan Arnborg, stefan@nada.kth.se. Office hours: After lectures or by appointment. CODE OF HONOR The CSC School Code of Honour applies to all assignments handed in: If you have cooperated with or been given significant advice by someone not teaching the course, you must state this on the solution turned in. Reasonable amounts of cooperation is permitted as long as you can explain your solution in full detail. This course summarizes statistical and probabilistic methods used in applied Computer Science. PREREQUISITES Courses in mathematics (analysis), programming, computer science and statistics equivalent to obligatory courses on KTH D- or F-programme. Matlab or similar tool (Octave, R). The following MIT course is a fairly good approximation of the probability competence assumed: http://mit.ocw.cn/OcwWeb/Electrical-Engineering-and-Computer-Science/ 6-041Spring-2006/CourseHome/index.htm LEARNING GOALS After successfully taking this course, you will be able to: -motivate the use of uncertainty management and statistical methodology in computer science applications, as well as the main methods in use, -account for algorithms used in the area and use the standard tools, -critically evaluate the applicability of these methods in new contexts, and design new applications of uncertainty management, -follow research and development in the area. SYLLABUS Common statistical models and their use: Bayesian, testing, and fiducial statistical philosophy Hypothesis choice Parametric inference Non-parametric inference Elements of regression Clustering Graphical statistical models Prediction and retrodiction Chapman-Kolmogoroff formulation Elements of Vapnik/Chervonenki's learning theory Evidence theory, estimation and combination of evidence. Support Vector Machines and Kernel methods Stochastic simulation, Markov Chain Monte Carlo. GRADING Grades are E-A during 2009. 70% of homeworks and a very short oral discussion of them gives grade C. Less gives F-D. For higher grades, essentially all homeworks should be turned in on time. Alternative assignments will be substituted for those homeworks you miss. For grade B you must pass one Master's test, for grade A you must do two Master's tests.