1st Edition

Manifold Learning Theory and Applications

Edited By Yunqian Ma, Yun Fu Copyright 2012

    Trained to extract actionable information from large volumes of high-dimensional data, engineers and scientists often have trouble isolating meaningful low-dimensional structures hidden in their high-dimensional observations. Manifold learning, a groundbreaking technique designed to tackle these issues of dimensionality reduction, finds widespread

    Spectral Embedding Methods for Manifold Learning. Robust Laplacian Eigenmaps Using Global Information. Density Preserving Maps. Sample Complexity in Manifold Learning. Manifold Alignment. Large-scale Manifold Learning. Metric and Heat Kernel. Discrete Ricci Flow for Surface and 3-Manifold. 2D and 3D Objects Morphing Using Manifold Techniques. Learning Image Manifolds from Local Features. Human Motion Analysis Applications of Manifold Learning.

    Biography

    About the Editors:

    Yunqian Ma received his PhD in electrical engineering from the University of Minnesota at twin cities in 2003. He then joined Honeywell International Inc., where he is currently senior principal research scientist in the advanced technology lab at Honeywell Aerospace. He holds 12 U.S. patents and 38 patent applications. He has authored 50 publications, including 3 books. His research interest includes inertial navigation, integrated navigation, surveillance, signal and image processing, pattern recognition and computer vision, machine learning and neural networks. His research has been supported by internal funds and external contracts, such as AFRL, DARPA, HSARPA, and FAA. Dr. Ma received the International Neural Network Society (INNS) Young Investigator Award for outstanding contributions in the application of neural networks in 2006. He is currently associate editor of IEEE Transactions on Neural Networks, on the editorial board of the pattern recognition letters journal, and has served on the program committee of several international conferences. He also served on the panel of the National Science Foundation in the division of information and intelligent system and is a senior member of IEEE. Dr. Ma is included in Marquis Who is Who Engineering and Science.

    Yun Fu received his B.Eng. in information engineering and M.Eng. in pattern recognition and intelligence systems, both from Xian Jiaotong University, China. His M.S. in statistics, and Ph.D. in electrical and computer engineering, were both earned at the University of Illinois at Urbana-Champaign. He joined BBN Technologies, Cambridge, MA, as a Scientist in 2008 and was a part-time lecturer with the Department of Computer Science, Tufts University, Medford, MA, in 2009. Since 2010, he has been an assistant professor with the Department of Computer Science and Engineering, SUNY at Buffalo. His current research interests