Colloquium/Seminar

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Event(s) on July 2008


  • Thursday, 3rd July, 2008

    Title: Tensor Decompositions and Tensor Ranks: General Concepts and Algorithms
    Speaker: Prof. Eugene Tyrtyshnikov, Institute of Numerical Mathematics, Russian Academy of Sciences, Russia
    Time/Place: 10:30  -  12:00
    Room RL4-005, Block 4, Low-rise Building, Baptist University Road Campus


  • Thursday, 3rd July, 2008

    Title: Matrix Computation and Image Processing
    Speaker: Prof. Michael Ng, Department of Mathematics, Hong Kong Baptist University, Hong Kong
    Time/Place: 14:00  -  15:30
    Room RL4-005, Block 4, Low-rise Building, Baptist University Road Campus


  • Monday, 7th July, 2008

    Title: Nonlinear Manifold Learning
    Speaker: Prof. Ren-Cang Li, , MATH, University of Texas, Arlington, USA
    Time/Place: 14:30  -  15:30
    RRS905, Conference Room, HSH Campus, Hong Kong Baptist University
    Abstract: Principle Component Analysis (PCA) and Principle Coordinates Analysis (PCO) are two widely used tools in statistics and data mining for high dimensional data points living approximately on an affine subspace. Finding the affine subspace is the so-called linear manifold learning. Recent interest has been drawn to nonlinear manifold learning which assumes that the high dimensional data points live approximately on a curved lower dimensional manifold and tries to find the lower dimensional manifold. In this talk, we shall review briefly three commonly used nonlinear manifold learning algorithms: Isometric feature mapping (ISOMAP), Locally Linear Embedding (LLE), and Local tangent space alignment (LTSA). We then present our work on the analysis of LTSA.


  • Tuesday, 8th July, 2008

    Title: Tensor Techniques for Huge-scale Data Compression
    Speaker: Prof. Eugene Tyrtyshnikov, Institute of Numerical Mathematics, Russian Academy of Sciences, Russia
    Time/Place: 10:30  -  12:00
    Room RL6-004, Block 6, Low-rise Building, Baptist University Road Campus


  • Tuesday, 8th July, 2008

    Title: Optimization and Image Processing
    Speaker: Prof. Michael Ng, Department of Mathematics, Hong Kong Baptist University, Hong Kong
    Time/Place: 14:00  -  15:30
    Room RL6-004, Block 6, Low-rise Building, Baptist University Road Campus


  • Wednesday, 9th July, 2008

    Title: Sharp Greens Function Integrals under Planar Conformal Metrics
    Speaker: Prof. Jie Xiao, MATH, Memorial University of Newfoundland, Canada
    Time/Place: 11:00  -  12:00
    RRS905, Conference Room, HSH Campus, Hong Kong Baptist University
    Abstract: Both analytic and geometric optimal monotonicities for Lp integrals of Green's functions of simply-connected planar domains with rectifiable simple curves as boundaries are obtained via a sharp Riemann-Stieltjes's integration and Huber's analytic and geometric isoperimetric inequalities under finiteness of the positive part of total Gauss curvature of a conformal metric. Consequently, new analytic and geometric isoperimetric-type inequalities are discovered. Moreover, when extending the geometric monotonicity to two-dimensional Riemannian manifolds, we surprisingly find that the {0,1}-form of the extended monotonicity is between Moser-Trudinger's inequality and Nash-Sobolev's inequality on complete noncompact boundary-free surfaces, especially equivalent to Nash-Sobolev's/Faber-Krahn's eigenvalue/Heat-kernel-upper-bound /Log-Sobolev inequality on the surfaces with finite total Gauss curvature and quadratic area growth.


  • Thursday, 10th July, 2008

    Title: Approximate Iterations for Tensor-structured Matrices
    Speaker: Prof. Eugene Tyrtyshnikov, Institute of Numerical Mathematics, Russian Academy of Sciences, Russia
    Time/Place: 10:30  -  12:00
    Room RL6-004, Block 6, Low-rise Building, Baptist University Road Campus


  • Thursday, 10th July, 2008

    Title: Some Computational Problems in Image Processing
    Speaker: Prof. Michael Ng, Department of Mathematics, Hong Kong Baptist University, Hong Kong
    Time/Place: 14:00  -  15:30
    Room RL6-004, Block 6, Low-rise Building, Baptist University Road Campus

 

 


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