-
2008-01-16On the shape of the stable patterns for activator-inhibitor systemsYasuhito 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.) -
2008-01-16A version of the Glimm method based on generalized Riemann problems.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.) -
2008-01-16Rad\'{o} type removability result for fully nonlinear equationsKazuhiro 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.) -
2008-01-15Statistical 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 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. -
2008-01-11Typhoon and Vortex Dynamics-2-D Turbulence and a Course SummaryProf. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )
-
2008-01-11Typhoon and Vortex Dynamics-2-D Turbulence and a Course SummaryHung-Chi Kuo 2008-01-11
10:30:00 - 12:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-01-08Ricci flow and Poincaré ConjectureProf. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )
-
2008-01-08Interval Methods in Computational FinanceMr. Chenyi Hu ( University of Central Arkansas, USA )
-
2008-01-08Statistical MethodologyNonparametric 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. -
2008-01-08NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)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. -
2008-01-08Subgradient estimates for CR heat equationProf. 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.) -
2008-01-08Interval Methods in Computational FinanceChenyi Hu 2008-01-08
16:30:00 - 17:20:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-01-08Ricci flow and Poincaré ConjectureChang-Shou Lin 2008-01-08
09:10:00 - 10:50:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-01-08Subgradient estimates for CR heat equationShu-Cheng Chang 2008-01-08
11:00:00 - 12:00:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-01-03Invariance of plurigenera2008 - 01 - 03 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-01-03Invariance of plurigenera2008-01-03
14:00:00 - 15:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-27Typhoon and Vortex Dynamics ***Rescheduled from Dec. 21(Fri.)Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )
-
2007-12-27Typhoon and Vortex Dynamics ***Rescheduled from Dec. 21(Fri.)Hung-Chi Kuo 2007-12-27
10:00:00 - 13:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-21Computational SciencesMultiscale Computations and Engineering Applications
Prof. Yizhao Thomas Hou ( California Institute of Technology, USA )2007 - 12 - 21 (Fri.)
10:00 - 11:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Many problems of fundamental and practical importance contain multiple scale solutions. Composite materials, flow and transport in heterogeneous porous media, and turbulent flow are examples of this type. Direct numerical simulations of these multiscale problems are extremely difficult due to the wide range of length scales in the underlying physical problems. In this talk, I describe some of our recent efforts in developing multiscale computational methods to upscale two-phase flows in strongly heterogeneous porous media. For some challenging problems with long range scale interaction arising from engineering applications, we show how to use limited global information to improve the accuracy of the multiscale method. Another important application is how to quantify uncertainty in modeling the heterogeneous random media. We show that by using a coarse multiscale model to precondition the Markov Chain Monte Carlo method, we can significantly improve the efficiency of the MCMC method in generating the probability distribution of the random media subject to some production data. Finally, we will discuss some recent progress in developing multiscale methods for incompressible Navier-Stokes equations with high Reynolds number. -
2007-12-20Some efficient numerical methods for inverse problemsProf. Hung-Chi Kuo ( Department of Atmospheric ScienProf. Jun Zou ( The Chinese University of Hong Kong )
-
2007-12-20Inverse obstacle scattering problems: theory and numericsProf. Jun Zou ( The Chinese University of Hong Kong )
-
2007-12-20Some efficient numerical methods for inverse problemsJun Zou 2007-12-20
14:10:00 - 15:00:00 Some efficient numerical methods for inverse problems308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-14Typhoon and Vortex DynamicsProf. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )
-
2007-12-14Typhoon and Vortex DynamicsHung-Chi Kuo 2007-12-14
11:20:00 - 12:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-07Typhoon and Vortex DynamicsProf. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )
-
2007-12-06Nonlinear PDESolutions of elliptic PDE concerned with Toda system
Dr. Yuko Nagase ( Taida Institute for Mathematical Sciences )2007 - 12 - 06 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-04Geometric AnalysisRicci flow and Poincaré Conjecture
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2007 - 12 - 04 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-04NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)The balance between existence and nonexistence theorems via an index theory
Prof. Shihshu Walter Wei ( University of Oklahoma, USA )2007 - 12 - 04 (Tue.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-04Statistical MethodologyModel Selection via the Group Lasso
Ms. Yen-Shiu Chin ( Department of Mathematics, National Taiwan University )2007 - 12 - 04 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2007-12-04NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)Concentration phenomena for some singularly perturbed elliptic PDEs
Prof. Andrea Malchiodi ( SISSA, Italy )2007 - 12 - 04 (Tue.)
15:00 - 16:00We study singularly perturbed elliptic equations arising from models in physics or biology, and investigate the asymptotic behavior of some special solutions as some parameter tends to zero. We also discuss some connections with related problems arising in differential geometry.