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 |
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 |
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. |
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 |
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 |
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. |
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 |
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 |
We organize conferences and workshops every year. Hope we can see you in future.
Learn MoreProf. M. Cheng, Dr. Y. S. Hon, Dr. K. F. Lam, Prof. L. Ling, Dr. T. Tong and Prof. L. Zhu have been awarded research grants by Hong Kong Research Grant Council (RGC) — congratulations!
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