Anatoly Kamchatnov 2008-04-30
15:30:00 - 17:20:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.)

An Eigenvector Variability Plot
Prof. I-Ping Tu ( Institute of Statistical Science , Academia Sinica )2008 - 04 - 29 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Principal components analysis is perhaps the most widely used method for ex-ploring multivariate data. In this talk, we present a variability plot composed of measures on the stability of each eigenvectors over samples as a data exploration tool. We also show that this variability measure gives a good measure on the intersample variability of eigenvectors through asymptotic analysis. For distinct eigenvalues, the asymptotic behavior for this variability measure is comparable to the size of the asymptotic covariance of the eigenvector in Anderson (1963). A simulation for functional data analysis with dimension p greater than sample size n is provided. The proposed variability plot is successful to distinguish the signal components, noise components and 0 eigenvalue components. Applying this method on a gene expression data set for a gastric cancer study, many hills on the proposed variability plot are observed. When the intersample variability of eigenvectors is considered, the cuto point on informative eigenvectors should not be on the top of the hill as suggested by the proposed variability plot.

Geometric aspects of random walks on a crystal lattice
Prof. Motoko Kotani ( Tohoku University, Japan )2008 - 04 - 29 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 29 (Tue.)
09:10 - 12:10

Motoko Kotani 2008-04-29
14:00:00 - 15:00:00 Geometric aspects of random walks on a crystal lattice308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-04-29
09:10:00 - 12:10:00 Ricci flow ,

I-Ping Tu 2008-04-29
13:30:00 - 15:00:00 An Eigenvector Variability Plot405 , Mathematics Research Center Building (ori. New Math. Bldg.)

One-Dimensional Dynamics
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 04 - 28 (Mon.)
09:30 - 11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Jung-Chao Ban 2008-04-28
09:30:00 - 11:30:00 One-Dimensional Dynamics308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Collapsing Bridges: Broughton and Tacoma Narrows
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 04 - 25 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

2D, 3D, and Full-field Breast Ultrasound Computer-aided Diagnosis
Prof. Ruey-Feng Chang ( Department of Computer Science and Information Engineering , National Taiwan University )2008 - 04 - 25 (Fri.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)In our previous 2D CAD studies, the texture and speckle information are used to diagnose tumors and these features are classified by the neural network, support vector machine, data mining, and retrieval techniques. Recently, we dealt with 3D CAD techniques including 3D texture analysis, spiculation detection, and microcalcification identification. From these studies, using 3D techniques for CAD represents a potentially significant advantage over 2D. Vessels provide blood supply for tumor expansion and also increase the opportunity for tumor cells to enter the blood or lymph circulation. In contrast to normal vessels, tumor vasculature is highly disorganized, tortuous and dilated, with uneven diameter and excessive branching. We propose a method extracting morphological features from 3-D breast power Doppler ultrasound and a CAD system adopting these features to classify tumor. Ultrasound elastography is a newly developed technique of imaging the tissue elasticity and it has been used clinically to examine a variety of breast lesions in patients. In general, the breast cancer tissue is harder than the adjacent normal breast tissue. Recently, we have developed a CAD for color elastography from Hitachi EUB-8500. Recently, several companies such as Aloka in Japan and U-systems in USA have developed new whole breast ultrasound screening machines. We have developed a computer-aided detection system for these fully automatic screening systems. By using the full-view images, our fully automatic CAD system for whole breast screening could be used to find suspicious frames and locate the approximate positions of tumors in the US images. By the way, an automatic rib detection will be introduced in this talk.

Anomalous Dispersion and Superluminal Propagation
Ko-Shin Chen ( Department of Mathematics, National Taiwan University )2008 - 04 - 25 (Fri.)
11:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ko-Shin Chen 2008-04-25
11:00:00 - 12:10:00 Anomalous Dispersion and Superluminal Propagation308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ruey-Feng Chang 2008-04-25
13:30:00 - 14:30:00 2D, 3D, and Full-field Breast Ultrasound Computer-aided Diagnosis308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-04-25
15:30:00 - 17:00:00 Collapsing Bridges: Broughton and Tacoma Narrows308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci Flow
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
13:00 - 14:00
103, Old Mathematics Building

Chern-Simons-Higgs Models in Superconductivity Ⅲ
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Application of Braid Group Theory to PDEⅡ
Prof. Chin-Chin Wu ( Department of Applied Mathematics, National Chiao Tung University )2008 - 04 - 24 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

On Witten’s Proof of the Positive Energy Theorem
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
16:30 - 17:20
110, Old Mathematics Building

Circular consecutive choosability of graphs VII
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 04 - 24 (Thu.)
10:10 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Lectures on Differential Geometry
Mr. Yang-Kai Lue ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs VIII
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 04 - 24 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Chin-Chin Wu 2008-04-24
14:00:00 - 15:00:00 Application of Braid Group Theory to PDEⅡ308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yang-Kai Lue 2008-04-24
19:00:00 - 20:30:00 Lectures on Differential Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-04-24
10:10:00 - 12:00:00 Circular consecutive choosability of graphs VII405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-04-24
13:30:00 - 15:30:00 Circular consecutive choosability of graphs VIII405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-04-24
11:10:00 - 12:20:00 Chern-Simons-Higgs Models in Superconductivity Ⅲ308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ye-Kai Wang 2008-04-24
13:00:00 - 14:00:00 Ricci Flow103 , Old Mathematics Building

Ye-Kai Wang 2008-04-24
16:30:00 - 17:20:00 On Witten’s Proof of the Positive Energy Theorem110 , Old Mathematics Building

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 22 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)