方述诚教授:Theory and Applications of Shape-preserving Cubic L1 Splines 上午9:00-11:00
2006-05-19 来源:数学科学研究中心活动地点:
活动类型:学术报告
主讲人:方述诚
活动时间:
活动内容:
方述诚
北卡罗莱纳州立大学工业工程与运筹学系讲座教授
清华大学数学科学系及工业工程系讲席教授
1. Theory and Applications of Shape-preserving Cubic L1 Splines
Abstract:
Splines have been conveniently and widely used for drawing curves in two or
three-dimensional spaces. Spline functions possess many nice structural properties
and exhibit excellent approximation power. For real-world applications, one
fundamental requirement for splines is that they should be “shape preserving”
which, in general, means no “nonphysical” or “extraneous” oscillations.
Observation over past three decades indicates traditional polynomial splines have
inadequate shape-preserving capability, in particular, for data with arbitrary
changes in magnitude and in node spacing. Experiments have shown that cubic L1
splines preserve shape well even for irregular data. We report our progress made
in the past several years on developing the theory and applications of
shape-preserving cubic L1 splines.
Coauthors: Hao Cheng, John E. Lavery, Yong Wang, Wei Zhang, Yunbin Zhao
2. Experiments on Solving Some Bio-informatics Problems Using
Soft-computing Techniques
Abstract:
Bio-informatics is an area full of problems with combinatorial nature that
challenges the traditionally used analytical solution methods. In this talk, we
report our limited experience on “Tabu Search for Parsimony Phylogeny
Inference”and “Genetic Algorithms for DNA Fragment Assembly.”
Coauthors: Yu-Min Lin, Yong Wang, Jie Zhong