Title: | Numerical Algorithms: from Small Scale Dynamics to Large Scale Phenomena |
Speaker: | Prof. Eitan Tadmor, University of Maryland, College Park |
Time/Place: | 16:00 - 17:00 SCM012 |
Title: | Up-and-down designs for Phase I trials: An evaluation of different designs and estimators |
Speaker: | Dr. Hon Keung Tony Ng, Department of Statistical Science, Southern Methodist University, USA |
Time/Place: | 11:30 - 12:30 FSC1217 |
Abstract: | In this talk, I will first review some up-and-down designs for phase I trials in the literature - Biased coin design, k-in-a-row design, Narayana design and continual reassessment method. Then I will propose a randomized Narayana design, which is a randomized version of the Narayana design. For the estimation of the maximum tolerated dose (MTD), five estimators, including a newly proposed modified maximum likelihood estimator (MMLE), are compared of which the MMLE and isotonic regression estimator with logistic interpolation (ISLOG) are selected based on their overall performance in a Monte Carlo simulation study. Then, a large scale Monte Carlo simulation study is conducted to examine the performance of the five designs for different sample sizes and underlying dose-response curves. From these results, some recommendations and comments are made under different scenarios. |
Title: | Digital Nets: Complexity, Algorithm and Application |
Speaker: | Mr. Kwong Ip Liu, Mathematics, Hong Kong Baptist University, Hong Kong |
Time/Place: | 15:00 - 16:00 T909 |
Abstract: | Digital nets are regularly distributed points. They have been used in Quasi-Monte Carlo methods. A new structure is proposed to characterize the quality of digital nets. Under the new structure, digital net can be considered as a generalized orthogonal array. The computational complexity to search the generating matrices according to the new structure will be discussed. A backtracking algorithm is proposed to find the generating matrices. An application of the digital nets in secret sharing scheme will also be shown. Several further works will be suggested. |
Title: | A Guided Tour of Quasi-Monte Carlo Methods |
Speaker: | Prof. Harald Niederreiter, Department of Mathematics, National University of Singapore |
Time/Place: | 16:00 - 17:00 WLB204 |
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!
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