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Projecting to Manifolds via Unsupervised Learning

Aug 05, 2020
Howard Heaton, Samy Wu Fung, Alex Tong Lin, Stanley Osher, Wotao Yin


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Exploring Private Federated Learning with Laplacian Smoothing

May 01, 2020
Zhicong Liang, Bao Wang, Quanquan Gu, Stanley Osher, Yuan Yao


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A Machine Learning Framework for Solving High-Dimensional Mean Field Game and Mean Field Control Problems

Dec 18, 2019
Lars Ruthotto, Stanley Osher, Wuchen Li, Levon Nurbekyan, Samy Wu Fung

* 16 pages, 9 figures, 1 table 

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Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo

Nov 02, 2019
Bao Wang, Difan Zou, Quanquan Gu, Stanley Osher

* 27 pages, 5 figures 

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Understanding Straight-Through Estimator in Training Activation Quantized Neural Nets

Mar 13, 2019
Penghang Yin, Jiancheng Lyu, Shuai Zhang, Stanley Osher, Yingyong Qi, Jack Xin


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CESMA: Centralized Expert Supervises Multi-Agents

Feb 07, 2019
Alex Tong Lin, Mark J. Debord, Katia Estabridis, Gary Hewer, Stanley Osher

* Submitted to a conference on January 23, 2019. Approved for public release on February 6, 2019. For v2, only added funding support acknowledgement and removed email on the first page 

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Laplacian Smoothing Gradient Descent

Oct 17, 2018
Stanley Osher, Bao Wang, Penghang Yin, Xiyang Luo, Minh Pham, Alex Lin

* 17 pages, 10 figures 

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BinaryRelax: A Relaxation Approach For Training Deep Neural Networks With Quantized Weights

Sep 05, 2018
Penghang Yin, Shuai Zhang, Jiancheng Lyu, Stanley Osher, Yingyong Qi, Jack Xin


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Blended Coarse Gradient Descent for Full Quantization of Deep Neural Networks

Aug 29, 2018
Penghang Yin, Shuai Zhang, Jiancheng Lyu, Stanley Osher, Yingyong Qi, Jack Xin


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Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for $k$-means Clustering

May 21, 2018
Penghang Yin, Minh Pham, Adam Oberman, Stanley Osher


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Scalable low dimensional manifold model in the reconstruction of noisy and incomplete hyperspectral images

Mar 23, 2018
Wei Zhu, Zuoqiang Shi, Stanley Osher


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Unsupervised Classification in Hyperspectral Imagery with Nonlocal Total Variation and Primal-Dual Hybrid Gradient Algorithm

Feb 13, 2017
Wei Zhu, Victoria Chayes, Alexandre Tiard, Stephanie Sanchez, Devin Dahlberg, Andrea L. Bertozzi, Stanley Osher, Dominique Zosso, Da Kuang


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A Harmonic Extension Approach for Collaborative Ranking

Feb 16, 2016
Da Kuang, Zuoqiang Shi, Stanley Osher, Andrea Bertozzi


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A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-norm Fidelity

Feb 12, 2016
Fang Li, Stanley Osher, Jing Qin, Ming Yan

* Journal of Scientific Computing, 69 (2016), 82-106 
* 28 pages, 8 figures, 3 tables 

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Sparse Recovery via Differential Inclusions

Jan 21, 2016
Stanley Osher, Feng Ruan, Jiechao Xiong, Yuan Yao, Wotao Yin

* In Applied and Computational Harmonic Analysis, 2016 

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A convex model for non-negative matrix factorization and dimensionality reduction on physical space

Feb 04, 2011
Ernie Esser, Michael Möller, Stanley Osher, Guillermo Sapiro, Jack Xin

* 14 pages, 9 figures. EE and JX were supported by NSF grants {DMS-0911277}, {PRISM-0948247}, MM by the German Academic Exchange Service (DAAD), SO and MM by NSF grants {DMS-0835863}, {DMS-0914561}, {DMS-0914856} and ONR grant {N00014-08-1119}, and GS was supported by NSF, NGA, ONR, ARO, DARPA, and {NSSEFF.} 

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