
20080118Some research directions in Applied MathematicsProf. ChienCheng Chang ( Institute of Applied Mechanics, National Taiwan University )

20080118Some research directions in Applied MathematicsProf. MingChih Lai ( Department of Applied Mathematics, National Chiao Tung University )

20080118Computational Science on MedicineModelling, Simulation and ApplicationSome research directions in Applied Mathematics
Prof. Tony WenHann 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.) 
20080118Some research directions in Applied MathematicsChienCheng Chang 20080118
16:30:00  17:30:00 Some research directions in Applied Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080118Some research directions in Applied MathematicsMingChih Lai 20080118
16:30:00  17:30:00 Some research directions in Applied Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080118Some research directions in Applied MathematicsTony Sheu 20080118
16:30:00  17:30:00 Some research directions in Applied Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080116Blowup rate of type II and the braid group theoryProf. Noriko Mizoguchi ( Tokyo Institute of Technology, Japan )

20080116Rad\'{o} type removability result for fully nonlinear equationsProf. Kazuhiro Takimoto ( Hiroshima University, Japan )

20080116On the shape of the stable patterns for activatorinhibitor systemsProf. Yasuhito Miyamoto ( Tokyo Institute of Technology, Japan )

20080116On the deadcore problemProf. JongShenq Guo ( Tamkang University )

20080116A version of the Glimm method based on generalized Riemann problems.Prof. MengKai Hong ( Department of Mathematics, National Central University )

20080116Blowup rate of type II and the braid group theoryNoriko Mizoguchi 20080116
10:20:00  11:10:00 Blowup rate of type II and the braid group theory308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080116On the deadcore problemJongShenq Guo 20080116
11:20:00  12:10:00 On the deadcore problem308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080116On the shape of the stable patterns for activatorinhibitor systemsYasuhito Miyamoto 20080116
14:10:00  15:00:00 On the shape of the stable patterns for activatorinhibitor systems308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080116A version of the Glimm method based on generalized Riemann problems.MengKai Hong 20080116
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.) 
20080116Rad\'{o} type removability result for fully nonlinear equationsKazuhiro Takimoto 20080116
16:10:00  17:00:00 Rad\'{o} type removability result for fully nonlinear equations308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080116PDE WorkShopJanuary 16, 2008
Website http://140.112.50.155/workshop/TIMS/20080116PDEWorkShop.htm 
20080115Statistical MethodologyIdentify 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 Bsplines. 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 onedimensional 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. 
20080115Identify Design Conditions to Achieve the Optimal Rate of Convergence in a Bivariate Additive Model20080115
13:30:00  15:00:00 Identify Design Conditions to Achieve the Optimal Rate of Convergence in a Bivariate Additive Model405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080111Typhoon and Vortex Dynamics2D Turbulence and a Course SummaryProf. HungChi Kuo ( Department of Atmospheric Sciences, National Taiwan University )

20080111Typhoon and Vortex Dynamics2D Turbulence and a Course SummaryHungChi Kuo 20080111
10:30:00  12:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080108Ricci flow and Poincaré ConjectureProf. ChangShou Lin ( Department of Mathematics, National Taiwan University )

20080108Interval Methods in Computational FinanceMr. Chenyi Hu ( University of Central Arkansas, USA )

20080108Statistical MethodologyNonparametric Estimation For TimeDependent AUC
Prof. ChinTsang 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 CADrelated 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 timedependent 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. 
20080108NCTS/TPE & TIMS Joint Geometry Seminar (20092010)Tautness and Algebraicity
Prof. QuoShin 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 MorseBott 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 MorseBott 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. 
20080108Subgradient estimates for CR heat equationProf. ShuCheng Chang ( Department of Mathematics, National Taiwan University )2008  01  08 (Tue.)
11:00  12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080108Interval Methods in Computational FinanceChenyi Hu 20080108
16:30:00  17:20:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080108Ricci flow and Poincaré ConjectureChangShou Lin 20080108
09:10:00  10:50:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080108Subgradient estimates for CR heat equationShuCheng Chang 20080108
11:00:00  12:00:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080108Nonparametric Estimation For TimeDependent AUCChinTsang Chiang 20080108
13:30:00  15:00:00 Nonparametric Estimation For TimeDependent AUC405 , Mathematics Research Center Building (ori. New Math. Bldg.)