
20080411Seminar on multiscale Analysis and ComputationAverage performance of the sparsest approximation using a dictionary
Prof. Mila Nikolova ( Centre de Mathématiques et de Leurs Applications, ENS Cachan )2008  04  11 (Fri.)
10:30  11:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)We consider the minimization of the number of nonzero coefficients (the ℓ0 norm) of the representation of a data set in terms of a dictionary under a fidelity constraint. (Both the dictionary and the norm defining the constraint are arbitrary.) This (nonconvex) optimization problem naturally leads to the sparsest representations, compared with other objectives. Our goal is to measure the sets of data yielding a Ksparse or sparser solution  i.e. involving at most K nonzero components. Data are assumed uniformly distributed on a domain defined by a norm. Relevant bounds on the Lebesgue measure of these sets are derived. They naturally lead to bound the probability of getting a Ksparse (or sparser) solution. We specify these results in the case of the Euclidian norm and an arbitrary dictionary. Then we specialize the problem to orthogonal bases (e.g. splines or wavelets) and focus on popular choices for the two norms. We get sharper bounds that are easy to compute. These results have a considerable theoretical and practical importance. 
20080411Mathematical modeling and Scientifical ComputingHungChi Kuo 20080411
15:30:00  17:00:00 Mathematical modeling and Scientifical Computing405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411An introduction to stochastic calculusNarnRueih Shieh 20080411
09:30:00  10:20:00 An introduction to stochastic calculus405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411Average performance of the sparsest approximation using a dictionaryMila Nikolova 20080411
10:30:00  11:20:00 Average performance of the sparsest approximation using a dictionary405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411Application of Time Frequency Transformation in Medical and Biological EngineeringYihNen Jeng 20080411
13:30:00  14:30:00 Application of Time Frequency Transformation in Medical and Biological Engineering405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411Mathematical modeling and Scientifical ComputingHungChi Kuo 20080411
15:30:00  17:00:00 Mathematical modeling and Scientifical Computing405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411Average performance of the sparsest approximation using a dictionaryMila Nikolova 20080411
10:30:00  11:20:00 Average performance of the sparsest approximation using a dictionary405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080411TBAYihNen Jeng 20080411
13:30:00  14:30:00 TBA405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410PDE and Mathematical PhysicsChernSimonsHiggs Models in Superconductivity (Ⅲ)
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  04  10 (Thu.)
11:10  12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410Student seminar on differential geometryComparison theorems in Rimannian geometry
Mr. Sheng Fu Chio ( Department of Mathematics, National Taiwan University )2008  04  10 (Thu.)
19:00  20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410Seminar on Parabolic PDEApplication of Braid Group Theory to PDE
Prof. ChinChin Wu ( Department of Applied Mathematics, National Chiao Tung University )2008  04  10 (Thu.)
14:00  15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410NCTS/TPE & TIMS Joint Student Geometry Seminar (2008)Stability of spacelike hypersurfaces in foliated spacetims
Mr. YeKai Wang ( Department of Mathematics, National Taiwan University )2008  04  10 (Thu.)
13:00  14:00
103, Old Mathematics Building 
20080410Stability of spacelike hypersurfaces in foliated spacetimesMr. YeKai Wang ( Department of Mathematics, National Taiwan University )

20080410Stability of spacelike hypersurfaces in foliated spacetimesYeKai Wang 20080410
13:00:00  14:00:00 Stability of spacelike hypersurfaces in foliated spacetimes103 , Old Mathematics Building 
20080410Application of Braid Group Theory to PDEChinChin Wu 20080410
14:00:00  15:00:00 Application of Braid Group Theory to PDE308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410Comparison theorems in Rimannian geometrySheng Fu Chio 20080410
19:00:00  20:30:00 Comparison theorems in Rimannian geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410ChernSimonsHiggs Models in Superconductivity (Ⅲ)ChangShou Lin 20080410
11:10:00  12:20:00 ChernSimonsHiggs Models in Superconductivity (Ⅲ)308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080410Stability of spacelike hypersurfaces in foliated spacetimsYeKai Wang 20080410
13:00:00  14:00:00 Stability of spacelike hypersurfaces in foliated spacetims103 , Old Mathematics Building 
20080409Physics 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  09 (Wed.)
15:30  17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall apply the Whitham modulation theory developed earlier for the KdV equation to description of dispersive shocks. GurevichPitaevskii problem is formulated. Its solution is given for a dispersive shock formed due to decay of an initial steplike distribution. 
20080409Physics and mathematics of dispersive shocks: An introductionAnatoly Kamchatnov 20080409
15:30:00  17:20:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080408NCTS/TPE & TIMS Joint Geometry Seminar (20092010)The Cauchy problem of the Ward equation I
Prof. Derchyi Wu ( Academia Sinica )2008  04  08 (Tue.)
14:00  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080408The Cauchy problem of the Ward equation (I)Prof. Derchyi Wu ( Academia Sinica )

20080408Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  04  08 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080408Ricci flowChangShou Lin 20080408
09:10:00  12:10:00 Ricci flow405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080408The Cauchy problem of the Ward equation IDerchyi Wu 20080408
14:00:00  15:00:00 The Cauchy problem of the Ward equation I405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080408The Cauchy problem of the Ward equation (I)Derchyi Wu 20080408
14:00:00  15:00:00 The Cauchy problem of the Ward equation (I)405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080403Student seminar on differential geometryComparison Theorems in Riemannian Geometry
Mr. JuiEn Chang ( Department of Mathematics, National Taiwan University )2008  04  03 (Thu.)
19:00  20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080403Ricci flowRicci Flow
Prof. YuChao Tu ( University of Utah, USA )2008  04  03 (Thu.)
13:00  14:00
103, Old Mathematics Building 
20080403Ricci FlowYuChao Tu 20080403
13:00:00  14:00:00 Ricci Flow 103 , Old Mathematics Building 
20080403Comparison Theorems in Riemannian GeometryJuiEn Chang 20080403
19:00:00  20:30:00 Comparison Theorems in Riemannian Geometry 405 , Mathematics Research Center Building (ori. New Math. Bldg.)