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Event(s) on November 2009
- 2/11/2009
| 題目: |
Lecture Series on Graph Theory and Combinatorial Algorithms: Some Related Topics on Friendly Labeling |
| 講員: |
Dr. Wai-chee Shiu, Department of Mathematics, Hong Kong Baptist University, Hong Kong |
| 時間/地點: |
11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
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- 11/11/2009
| 題目: |
Brilliance of Civilization - Distinguished Computational Mathematics Lecture: New Algorithms in Information Science |
| 講員: |
Prof. Stanley Osher, University of California, Los Angeles, USA |
| 時間/地點: |
16:30 - 18:00 (Preceded by Reception at 4:00pm)
WLB103, The Wing Lung Bank Building for Business Studies, Shaw Campus, Hong Kong Baptist University
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| 摘要: |
The past few years have seen an incredible explosion of new (or
revival of old) fast and effective algorithms for various imaging
and information science applications. These include: nonlocal
means, compressive sensing, graph cuts, Bregman iteration, as
well as relatively old favorites such as the level set method
and PDE based image restoration. Prof. Osher will give his view
of where we are, hopefully giving credit to all the people involved.
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- 12/11/2009
| 題目: |
Lecture Series on Graph Theory and Combinatorial Algorithms: Generalizations of Chung-Feller Theorems |
| 講員: |
Prof. Yeong-Nan Yeh, Institute of Mathematics, Academia, Taiwan, R.O.C. |
| 時間/地點: |
11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
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- 16/11/2009
| 題目: |
Lecture Series on Graph Theory and Combinatorial Algorithms: Incidence Colouring: Recent Developments and Relation with Other Colourings |
| 講員: |
Dr. Pak-kiu Sun, Department of Mathematics, City University of Hong Kong, Hong Kong |
| 時間/地點: |
11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
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- 23/11/2009
| 題目: |
Lecture Series on Graph Theory and Combinatorial Algorithms: On the Laplacian and Signless Laplacian Characteristic Polynomial of a Graph |
| 講員: |
Prof. Jiming Guo, China University of Petroleum, China |
| 時間/地點: |
11:00 - 12:00
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
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- 24/11/2009
| 題目: |
System Reduction Using Optimal Replacement Variables |
| 講員: |
Prof. Alex Solomonof, Division of Applied Mathematics, Brown University, USA |
| 時間/地點: |
11:30 - 12:30
FSC1217, Fong Shu Chuen Library, HSH Campus, Hong Kong Baptist University
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| 摘要: |
We present a method of approximating a large system of ODEs by
one with fewer equations, while attempting to preserve the dynamics
of a given set of variables of interest. The method is as follows:
1) Put a (simple, ad-hoc) probability distribution on the phase
space of the ODE,
2) Assert that a small set of {em replacement variables} are
to be unknown linear combinations of the not-of-interest variables,
and let the variables of the reduced system consist of the variables-of-interest
together with the replacement variables.
3) Find the linear combinations that minimize the difference
between the dynamics of the original system and the reduced system.
We describe this program in detail for linear systems of ODEs,
show that the resulting approximate system of ODEs gives quite
good approximations to the original, discuss methods and issues
for carrying out the required minimization, and consider the
many possible directions for further work.
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