Colloquium/Seminar

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Event(s) on June 2005


  • Thursday, 2nd June, 2005

    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


  • Tuesday, 14th June, 2005

    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.


  • Wednesday, 15th June, 2005

    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.


  • Friday, 17th June, 2005

    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