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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
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- 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
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- 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
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| 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.
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- 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
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- 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
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- 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
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| 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.
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- 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
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- 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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