2008-01-29
13:30:00 - 15:00:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Chin-Lung Wang  ( Department of Mathematics, National Taiwan University )

Prof. Jenn-Nan Wang  ( Department of Mathematics, National Taiwan University ) 

Prof. Tai-Chia Lin  ( Department of Mathematics, National Taiwan University )

Chin-Lung Wang 2008-01-24
16:00:00 - 17:00:00 Some research directions in Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.)

Tai-Chia Lin 2008-01-24
16:00:00 - 17:00:00 Some research directions in Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.)

Jenn-Nan Wang 2008-01-24
16:00:00 - 17:00:00 Some research directions in Mathematics ,

Prof. Chien-Cheng Chang  ( Institute of Applied Mechanics, National Taiwan University )

Prof. Ming-Chih Lai  ( Department of Applied Mathematics, National Chiao Tung University )

Some research directions in Applied Mathematics
Prof. Tony Wen-Hann Sheu ( Department of Engineering Science and Ocean Engineering, National Taiwan University )2008 - 01 - 18 (Fri.)
16:30 - 17:30
Fourth Floor, Mathematics Research Center Building (ori. New Math. Bldg.)

Chien-Cheng Chang 2008-01-18
16:30:00 - 17:30:00 Some research directions in Applied Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ming-Chih Lai 2008-01-18
16:30:00 - 17:30:00 Some research directions in Applied Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Noriko Mizoguchi  ( Tokyo Institute of Technology, Japan )

Prof. Kazuhiro Takimoto  ( Hiroshima University, Japan )

Prof. Yasuhito Miyamoto  ( Tokyo Institute of Technology, Japan )

Prof. Jong-Shenq Guo  ( Tamkang University )

Prof. Meng-Kai Hong  ( Department of Mathematics, National Central University )

Noriko Mizoguchi 2008-01-16
10:20:00 - 11:10:00 Blowup rate of type II and the braid group theory308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Jong-Shenq Guo 2008-01-16
11:20:00 - 12:10:00 On the dead-core problem308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yasuhito Miyamoto 2008-01-16
14:10:00 - 15:00:00 On the shape of the stable patterns for activator-inhibitor systems308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Meng-Kai Hong 2008-01-16
15:10:00 - 16:00:00 A version of the Glimm method based on generalized Riemann problems.308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Kazuhiro Takimoto 2008-01-16
16:10:00 - 17:00:00 Rad\'{o} type removability result for fully nonlinear equations308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Identify Design Conditions to Achieve the Optimal Rate of Convergence in a Bivariate Additive Model2008 - 01 - 15 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)This paper considers the estimation problem in a bivariate additive model, for . Here and is a random error and is assumed to be smooth which is approximated by B-splines. However, is not necessary to be smooth. This problem is motivated by the normalization needed in correcting intensity effects in microarray study. In this talk, an almost necessary and sufficient condition is given to guarantee that can be estimated with the usual one-dimensional optimal rate of convergence. We also present a simulation study to illustrate various convergence rate can be obtained when the proposed design condition is not satisfied.

Prof. Hung-Chi Kuo  ( Department of Atmospheric Sciences, National Taiwan University )

Hung-Chi Kuo 2008-01-11
10:30:00 - 12:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Chang-Shou Lin  ( Department of Mathematics, National Taiwan University )

Mr. Chenyi Hu  ( University of Central Arkansas, USA )

Nonparametric Estimation For Time-Dependent AUC
Prof. Chin-Tsang Chiang ( Department of Mathematics, National Taiwan University )2008 - 01 - 08 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)The area under the receiver operating characteristic curve (AUC) is the commonly used measure to evaluate or compare the predictive ability of markers to the disease status . Motivated by an angiographic coronary artery disease (CAD) study, our objective is mainly to compare the performance of different plasma markers in the prediction of CAD-related vital status at different time points within the study period. Instead of integrating the area under the estimated receiver operating characteristic curve (ROC) at a specified time point, a class of nonparametric estimators is proposed for the time-dependent AUC under the different censoring mechanisms. Moreover, the asymptotic properties of the estimators are developed and used to construct the approximated confidence regions of the AUCs and test for the performance of different markers. The finite sample properties and the usefulness of the estimators and procedures are investigated through extensive simulations. Finally, our proposed methods are applied to the illustrated empirical example.

Tautness and Algebraicity
Prof. Quo-Shin Chi ( Washington University in St. Louis, USA )2008 - 01 - 08 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)A compact submanifold in a sphere (or in an Euclidean space) is taut if all the spherical (Euclidean) distance functions are perfect Morse-Bott functions with respect to Z 2 coefficients. Tautness is preserved by stereographic projection, and so the theories in the two ambient spaces are essentially the same. Two important classes of taut submanifolds are isoparametric submanifolds and compact proper Dupin hypersurfaces in spheres, among many others. In a paper published in 1984, Kuiper raised the question as to whether a taut submanifold is real algebraic, i.e., whether a taut submanifold is an irreducible component of a real algebraic subvariety of the ambient space. In the 1980's the answer to this question was widely thought to be true, for a good reason, because intuitively a perfect Morse-Bott function should not be flabby anywhere. In this talk, I shall indicate a proof that the answer to this question of Kuiper's is affirmative if the dimension of the taut submanifold is less than or equal to four.

Prof. Shu-Cheng Chang ( Department of Mathematics, National Taiwan University )2008 - 01 - 08 (Tue.)
11:00 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)