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2008-05-02Mathematical modeling and Scientifical ComputingChaos in Deterministic Continuous Systems, Poincare and Lorenz
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 05 - 02 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-05-01Harmonic forms and Weight Poincar\'{e} inequalityProf. Chiung-Jue Sung ( National Tsing Hua University )
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2008-05-01Student seminar on differential geometryLectures on Differential Geometry
Mr. Yang-Kai Lue ( Department of Mathematics, National Taiwan University )2008 - 05 - 01 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-05-01NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)Harmonic forms and Weight Poincar\'{e} inequality
Prof. Chiung-Jue Sung ( National Tsing Hua University )2008 - 05 - 01 (Thu.)
15:00 - 16:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-05-01Harmonic forms and Weight Poincar\'{e} inequalityChiung-Jue Sung 2008-05-01
15:00:00 - 16:00:00 Harmonic forms and Weight Poincar\'{e} inequality308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-30Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 04 - 30 (Wed.)
15:30 - 17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we will shall show that the KdV hierarchy has a Hamiltonian structure and all Hamiltonians commute with each other with respect to the Poisson bracket. This leads to notion of complete integrability of the KdV hierarchy equations. After that, we shall give a few simple applications of the developed theory: (1) derivation of periodic solutions (2) new simple derivation of Whitham equations (3) cnoidal wave solution of the whole hierarchy (4) Whitham equations for higher KdV equations. -
2008-04-29Statistical MethodologyAn 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. -
2008-04-29NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)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.) -
2008-04-29Geometric AnalysisRicci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 29 (Tue.)
09:10 - 12:10 -
2008-04-28Seminar on Dynamic SystemOne-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.) -
2008-04-25Mathematical modeling and Scientifical ComputingCollapsing 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.) -
2008-04-25Computational Science on Medicine-Modelling, Simulation and Application2D, 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. -
2008-04-25Seminar on multiscale Analysis and ComputationAnomalous 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.) -
2008-04-24NCTS/TPE & TIMS Joint Student Geometry Seminar (2008)Ricci Flow
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 04 - 24 (Thu.)
13:00 - 14:00
103, Old Mathematics Building -
2008-04-24PDE and Mathematical PhysicsChern-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.) -
2008-04-24Seminar on Parabolic PDEApplication 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.) -
2008-04-24NCTS/TPE & TIMS Joint Student Geometry Seminar (2008)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 -
2008-04-24Seminar on Graph ColoringCircular 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.) -
2008-04-24Student seminar on differential geometryLectures 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.) -
2008-04-24Seminar on Graph ColoringCircular 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.) -
2008-04-22Geometric AnalysisRicci 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.) -
2008-04-22NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature
Prof. Dong-Ho Tsai ( National Tsing Hua University )2008 - 04 - 22 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-22Contracting Convex Immersed Closed Plane Curves with Slow Speed of CurvatureProf. Dong-Ho Tsai ( National Tsing Hua University )
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2008-04-22Contracting Convex Immersed Closed Plane Curves with Slow Speed of CurvatureDong-Ho Tsai 2008-04-22
14:00:00 - 15:00:00 Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-21Seminar on Dynamic SystemOne-Dimensional Dynamics
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 04 - 21 (Mon.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-18Two species competition in an unstirred chemostat, an internal instored modelProf. Sze-Bi Hsu ( National Tsing Hua University )
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2008-04-18Seminar on Financial MathematicsAn introduction to financial models and risk management
Prof. Chuan-Hsiang Han ( Department of Quantitative Finance, National Tsing Hua University )2008 - 04 - 18 (Fri.)
09:30 - 10:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-18Computational Science on Medicine-Modelling, Simulation and ApplicationScientific Computing on Hemodynamics-Computational Challenges and its Application to Surgical Planning for Cardiovascular Diseases (Ⅱ)
Prof. Tony Wen-Hann Sheu ( Department of Engineering Science and Ocean Engineering, National Taiwan University )2008 - 04 - 18 (Fri.)
11:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-04-18Mathematical modeling and Scientifical ComputingProf. Chih-hao Hsieh ( Institute of Oceanography, National Taiwan University )
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2008-04-18Two species competition in an unstirred chemostat, an internal instored modelSze-Bi Hsu 2008-04-18
13:30:00 - 14:30:00 Two species competition in an unstirred chemostat, an internal instored model308 , Mathematics Research Center Building (ori. New Math. Bldg.)