Title: | Centre for Mathematical Imaging and Vision (CMIV) Lecture Series Lecture 2: Projecting onto a Polytope Simplifies Data Distributions: Theory and Some Applications |
Speaker: | Prof. Francois Malgouyres, Laboratoire Analyse, Géométrie et Applications, Universiti Paris 13, France |
Time/Place: | 14:00 - 15:00 FSC 1217 |
Title: | Centre for Mathematical Imaging and Vision (CMIV) Lecture Series Lecture 3: Primal-dual Implementation of the Basis Pursuit Algorithm |
Speaker: | Prof. Francois Malgouyres, Laboratoire Analyse, Géométrie et Applications, Universiti Paris 13, France |
Time/Place: | 14:00 - 15:00 FSC 1217 |
Title: | Optimal Shrinkage Estimation of Variances with Applications to Microarray Data Analysis |
Speaker: | Prof. Yuedong Wang, Department of Statistics and Applied Probability, University of California - Santa Barbara, USA |
Time/Place: | 11:30 - 12:30 FSC 1217 |
Abstract: | Microarray technology allows a scientist to study genome-wide patterns of gene expression. Thousands of individual genes are measured with relatively little replication which poses challenges to traditional statistical methods. In particular,the gene-specific estimates of variances are not reliable and gene-by-gene tests have low power. We propose a family of shrinkage estimators for variances raised to a fixed power. We derive optimal shrinkage parameters under both Stein and the squared loss functions. Our results show that the standard sample variance is inadmissible under both loss functions. We conduct simulations to evaluate performance of the optimal shrinkage estimators and compare them with some existing methods. We construct F statistics using these shrinkage variance estimators and apply them to detect differentially expressed genes in a microarray experiment. We also conduct simulations to evaluate performance of these F statistics and compare them with some existing methods. |
Title: | CMIV Lecture Series: Optimization for Image Processing (Lecture 1) |
Speaker: | Prof. Mila Nikolova, CMLA ENS de Cachan, France |
Time/Place: | 14:30 - 16:30 FSC 1217 |
Title: | CMIV Lecture Series: Optimization for Image Processing (Lecture 2) |
Speaker: | Prof. Mila Nikolova, CMLA ENS de Cachan, France |
Time/Place: | 14:30 - 16:30 FSC 1217 |
Title: | Enhanced Snake Algorithm for Noisy Images based on Integrated Region Information |
Speaker: | Mr. Chi Pan Tam, Department of Mathematics, Hong Kong Baptist University, HKSAR, China |
Time/Place: | 14:30 - 15:30 FSC 1217 |
Abstract: | In this paper, an improved parametric active contour is proposed based on the techniques of binarization and the utilization of region information. Traditional active contour models are mainly based on gradient information; therefore it may be difficult to find the boundary of objects if the image is noisy. Our model makes use of binarization techniques to extract region information which is integrated with gradient information. This approach can greatly improve the results for noisy images. We present various experimental results to demonstrate the performance of this model to different types of noisy images. Also, we will show that it is robust to change in parameter settings as compared with traditional snakes. |
We organize conferences and workshops every year. Hope we can see you in future.
Learn MoreProf. M. Cheng, Dr. Y. S. Hon, Dr. K. F. Lam, Prof. L. Ling, Dr. T. Tong and Prof. L. Zhu have been awarded research grants by Hong Kong Research Grant Council (RGC) — congratulations!
Learn MoreFollow HKBU Math