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OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle 期刊论文
PHYSICAL REVIEW FLUIDS, 2021, 卷号: 6, 期号: 11, 页码: 32
Authors:  Yu, Haijun;  Tian, Xinyuan;  Weinan, E.;  Li, Qianxiao
Favorite  |  View/Download:96/0  |  Submit date:2022/04/02
An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit 期刊论文
SENSORS, 2020, 卷号: 20, 期号: 11, 页码: 25
Authors:  Hu, Xiaoyin;  Liu, Xin
Favorite  |  View/Download:155/0  |  Submit date:2020/09/23
dual principal component pursuit  orthogonality constraint  sparse dictionary learning  stiefel manifold  
The Grassmannian of affine subspaces 期刊论文
Authors:  Lim, Lek-Heng;  Wong, Ken Sze-Wai;  Ye, Ke
Favorite  |  View/Download:163/0  |  Submit date:2020/06/30
Affine Grassmannian  Affine subspaces  Schubert calculus  homotopy and (co)homology  Probability densities  Distances and metrics  Multivariate data analysis  
Improve the spectral clustering by integrating a new modularity similarity index and out-of-sample extension 期刊论文
MODERN PHYSICS LETTERS B, 2020, 卷号: 34, 期号: 11, 页码: 12
Authors:  Shen, Dongqin;  Li, Xiuyi;  Yan, Guan
Favorite  |  View/Download:151/0  |  Submit date:2020/06/30
Spectral clustering  out-of-sample  modularity  similarity measure  
A Brief Introduction to Manifold Optimization 期刊论文
Journal of the Operations Research Society of China, 2020, 卷号: 8, 期号: 2, 页码: 199-248
Authors:  Hu Jiang;  Liu Xin;  Wen Zaiwen;  Yuan Yaxiang
Favorite  |  View/Download:118/0  |  Submit date:2021/01/14
Convergence  First-order-type algorithms  Manifold optimization  Retraction  Second-order-type algorithms  
Applying Ricci flow to high dimensional manifold learning 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2019, 卷号: 62, 期号: 9, 页码: 14
Authors:  Li, Yangyang;  Lu, Ruqian
Favorite  |  View/Download:156/0  |  Submit date:2020/01/10
manifold learning  Ricci flow  Ricci curvature  dimension reduction  curvature estimation  
Curvature-aware manifold learning 期刊论文
PATTERN RECOGNITION, 2018, 卷号: 83, 页码: 273-286
Authors:  Li, Yangyang
Favorite  |  View/Download:136/0  |  Submit date:2018/10/07
Manifold learning  Riemannian curvature  Second fundamental form  Hessian operator  
Locality preserving projection on SPD matrix Lie group: algorithm and analysis 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 9, 页码: 15
Authors:  Li, Yangyang;  Lu, Ruqian
Favorite  |  View/Download:164/0  |  Submit date:2018/07/30
manifold learning  SPD matrix Lie group  locally preserving projection  Laplace operator  Log Euclidean metric  
A Novel Manifold Regularized Online Semi-supervised Learning Model 期刊论文
COGNITIVE COMPUTATION, 2018, 卷号: 10, 期号: 1, 页码: 49-61
Authors:  Ding, Shuguang;  Xi, Xuanyang;  Liu, Zhiyong;  Qiao, Hong;  Zhang, Bo
Favorite  |  View/Download:253/0  |  Submit date:2018/07/30
Human learning  Manifold regularization  Online semi-supervised learning  Lagrange dual problem  
LLE Score: A New Filter-Based Unsupervised Feature Selection Method Based on Nonlinear Manifold Embedding and Its Application to Image Recognition 期刊论文
IEEE TRANSACTIONS ON IMAGE PROCESSING, 2017, 卷号: 26, 期号: 11, 页码: 5257-5269
Authors:  Yao, Chao;  Liu, Ya-Feng;  Jiang, Bo;  Han, Jungong;  Han, Junwei
Favorite  |  View/Download:130/0  |  Submit date:2018/07/30
Unsupervised learning  feature selection  manifold learning  image recognition