关键词: 流形学习, 维数降维, 模式识别, 机器学习

Abstract: As a novel dimensionality reduction technique，manifold learning algorithm aims at discovering the lower dimensional manifold structure which is embedded in the high dimensionality data space，and derives an efficient lower dimensional representation.At present，manifold learning has become a hot issue in the field of pattern recognition，machine learning and data mining.The fundamental ideas，some latest research resutls and algorithm analysis of manifold learing are introduced.Besides，some problems for further research are presented and analyzed.

Key words: manifold learning, dimensionality reduction, pattern recognition, machine learning