Lecture to Look at Two-Dimensional Stochastic Systems
As part of the Mathematics Colloquium Series—hosted by the Farquhar College of Arts and Sciences Division of Math, Science, and Technology—Jose Ramos, Ph.D., associate professor in the college, will present a talk titled “Subspace System Identification of 2-D Stochastic Systems.” The event will take place on Wednesday, Nov. 16, from noon to 1:00 p.m., in the Alvin Sherman Library, room 3015.
The fitting of a causal dynamic model to an image is a fundamental problem in image processing, pattern recognition, and computer vision. There are numerous other applications that require a causal dynamic model, such as in scene analysis, machined-parts inspection, and biometric analysis, to name only a few. There are many types of causal dynamic models that have been proposed. Among the most widely known are the autoregressive moving average (ARMA) and state-space models.
In this talk, Ramos will introduce a two-dimensional stochastic state-space system identification algorithm for obtaining stochastic 2-D, causal, recursive, and separable-in-denominator (CRSD) models in the Roesser state-space form. The algorithm is tested with the classical Lena image, and the image reconstructed with the 2-D model is shown to be almost indistinguishable from the true image.
Established in the fall of 2009, the Mathematics Colloquium Series aims to increase awareness of mathematics’ importance and applications in daily life. The series also gives mathematics faculty members and students the opportunity to discuss independent research and share their passion for the subject. These talks are free and open to the public.