Prof. Dan'l Pierce  ( Access Analytics International, USA )

Prof. Norden E. Huang  ( Research Center for Adaptive Data Analysis, National Central University ) 

May 30 - 31, 2008
Website  http://140.112.50.155/workshop/NPDER/0530.pdf

Norden Huang 2008-05-30
13:30:00 - 14:30:00 Paleoclimatological climate variations study based on Vostok Ice Core’308 , Mathematics Research Center Building (ori. New Math. Bldg.)

2008-05-30
11:10:00 - 12:00:00 Paleoclimatological climate variations study based on Vostok Ice Core’405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -XIII
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 29 (Thu.)
10:00 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

The CIP Method and Adaptive Soroban-Grid for Flow Analysis
Prof. Yoichi Ogata ( Hiroshima University, Japan )2008 - 05 - 29 (Thu.)
11:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Modeling and simulations of physiological flows:-Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 05 - 29 (Thu.)
14:10 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -XIV
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 29 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Lectures on Differential Geometry
Prof. Yu-Chao Tu ( University of Utah, USA )2008 - 05 - 29 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-05-29
10:00:00 - 12:00:00 Circular consecutive choosability of graphs -XIII405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-05-29
13:30:00 - 15:30:00 Circular consecutive choosability of graphs -XIV405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yoichi Ogata 2008-05-29
11:10:00 - 12:00:00 The CIP Method and Adaptive Soroban-Grid for Flow Analysis308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yu-Chao Tu 2008-05-29
19:00:00 - 20:30:00 Lectures on Differential Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Marc Thiriet 2008-05-29
14:10:00 - 17:00:00 Modeling and simulations of physiological flows:-Liver blood flow and mini-invasive cancer therapies308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 05 - 28 (Wed.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Galois cohomology: The cohomological interpretation of Galois algebras
Prof. Ming-Chang Kang ( Department of Mathematics, National Taiwan University )2008 - 05 - 28 (Wed.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ming-Chang Kang 2008-05-28
15:30:00 - 17:30:00 Galois cohomology: The cohomological interpretation of Galois algebras308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Marc Thiriet 2008-05-28
09:10:00 - 12:10:00 Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Ching-hsiao Cheng  ( Department of Mathematics, National Central University )

Schwarzschild Geometry
Mr. Po-Yao Chang ( Department of Mathematics, National Taiwan University )2008 - 05 - 27 (Tue.)
16:10 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

selected review on unified framework of discriminant analysis
Prof. Hung Chen ( Department of Mathematics, National Taiwan University )2008 - 05 - 27 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Starting with the pioneering work of Fisher (1936), discriminant analysis has become one of the most important techniques in applied statistics. The classical linear discriminant function introduced by Fisher achieves this separation by maximizing the standardized difference between the means of these two populations. On the other hand, a logistic regression with linear combination of covariates is also used. In this talk, we will present some attempts in the literature to put those approaches into a unified framework, In particular, we will address the connection between the Neyman-Pearson Lemma, ROC curve and AUC. Part of the talk is based on Eguchi and Copas (2002, 2005, 2006)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 27 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-05-27
09:10:00 - 12:10:00 Ricci flow 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung Chen 2008-05-27
13:30:00 - 15:00:00 selected review on unified framework of discriminant analysis405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Po-Yao Chang 2008-05-27
16:10:00 - 17:00:00 Schwarzschild Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ching-hsiao Cheng 2008-05-27
18:30:00 - 20:00:00 An informal talk on free boundary problems308 , Mathematics Research Center Building (ori. New Math. Bldg.)

One-Dimensional Dynamics-III
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 05 - 26 (Mon.)
09:30 - 11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Universal DNA Sequence Representation and Prediction of Coding
Prof. Stephen S-T. Yau ( Tsinghua University, China )2008 - 05 - 26 (Mon.)
15:30 - 16:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)Universal DNA Sequence Representation and Prediction of Protein Coding Region" Graphical representation of DNA sequence provides a simple and intuitive way of viewing, anchoring and computing various gene structures, so a simple and non-degenerate graph representation is attractive to both biologists and computational biologists. We shall present a universal graphical representation for DNA sequence which is a generalization of S. S.-T. Yau's method. The method adopts a trigonometric function to represent the four nucleotides A, G, C, T. We exploit the frequency analysis with our representations on DNA sequences, which demonstrates possible applications in coding regions prediction of proteins. Based on the statistically experimental results from the frequency analysis, a simple coding region predictor and an optimized one are presented. Experiment on a broadly accepted ROSETTA data set demonstrates that the performance of the optimized predictor is comparable to that of the other popular methods. This is a joint work with Xianyang Jiang and Dominique Lavenier.

Explicit Construction of Moduli Space for Complete Reinhardt Domains via Bergman Functions
Prof. Stephen S-T. Yau ( Tsinghua University, China )2008 - 05 - 26 (Mon.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Explicit Construction of Moduli Space for Complete Reinhardt Domains via Bergman Functions" We introduce higher order Bergman functions for complete Reinhardt domains in a variety with isolated singularities. These Bergman functions are invariant under biholomorphic maps. We use Bergman functions to determine all the biholomorphic maps between two such domains. We construct an infinite family of numerical invariants from the Bergman functions for such domains in A n-variety {(x, y, z) in C3 : xy = z^(n+1)}. These infinite family of numerical invariants are actually a complete set of invariants for either the set of all strictly pseudoconvex domains or the set of all pseudoconvex domains with real analytic boundaries in A n-variety. In particular the moduli space of these domains in A n variety is constructed explicitly as the image of this complete family of numerical invariants. Recall that A n-variety is the quotient of cyclic group of order n + 1 on C^2. We prove that the moduli space of complete Reinhardt domains in A n variety coincides with the moduli space of the corresponding complete Reinhardt domains in C^2. Since our complete family of numerical invariants are explicitly computable, we have solved the biholomorphically equivalent problem for large family of domains in C^2.