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documentation by:

Jiachen Jin

jinjiachen@126.com

National University of Defense Technology

2026


This package contains the code used in the paper "Adaptive Riemannian ADMM for Nonsmooth Optimization: Optimal Complexity without Smoothing".

This code has been tested to run in MATLAB R2023b.

If you use this code in an academic paper, please cite our paper:

Kangkang Deng, Jiachen Jin, Jiang Hu, and Hongxia Wang. Adaptive Riemannian ADMM for Nonsmooth Optimization: Optimal Complexity without Smoothing. In 39th Conference on Neural Information Processing Systems (NeurIPS 2025).


- spca_demo_ADMM : compares 4 Riemannian ADMM algorithms SOC, MADMM, RADMM and OADMM for solving spare PCA problem

- dpcp_demo_ADMM : compares 3 Riemannian ADMM algorithms SOC, MADMM and RADMM for solving Dual Principal Component Pursuit


If you have any questions or bugs, feel free to contact Jiachen Jin jinjiachen@126.com and Kangkang Deng freedeng1208@gmail.com.

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Implementation for paper "adaptive riemannian admm for nonsmooth optimization: optimal complexity without smoothing"

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