《manifold_learning》.pdf

Manifold learning Pattern Recognition Dimensionality Reduction (IV) ZHAO Haitao Zhao Haitao haitaozhao@ecust.edu.cn Locally linear embedding (LLE) Manifold learning Laplacian Eigenmaps In Memoriam SAM T. ROWEIS (1972-2010) was born on April 27, 1972. He obtained a bachelor’s degree with honours from the University of Toronto Engineering Science Program four years later. His first exposure to AI and neural computation occured when - as an exceptional undergraduate - he took the graduate-level Neural Network course taught by Geoffrey Hinton. Here Sam discovered what would become his lifelong interest: unlocking the mysteries of intelligence; motivating all his work was a dream to understand human intelligence, and to build intelligent machines. The LLE paper, published in Science in 2000, revolutionized the field of dimensionality reduction, and gathered over 2700 citations in less than 10 years. Zhao Haitao haitaozhao@ecust.edu.cn Locally linear embedding (LLE) Manifold learning Laplacian Eigenmaps Outline Introduction Algorithm1 Examples Conclusion 1 Reference: 1 “Nonlinear dimensionality reduction by locally linear embedding”, Roweis Saul, Science, 2000. 2 “Think Golob