% Key papers for Nonconvex low-rank and sparse optimization (scime atlas, https://atlas.scime.ai). Authors are not included: add them from the paper pages. @inproceedings{icml2017_no_36309, title = {{No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified Geometric Analysis}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2017}, url = {https://icml.cc/virtual/2017/poster/777}, } @inproceedings{aaai2020_a_103723, title = {{A Generalized Framework for Edge-Preserving and Structure-Preserving Image Smoothing}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2020}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/6830}, } @inproceedings{icml2016_provable_35959, title = {{Provable Non-convex Phase Retrieval with Outliers: Median TruncatedWirtinger Flow}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2016}, url = {https://proceedings.mlr.press/v48/zhange16.html}, } @inproceedings{aaai2018_asynchronous_102536, title = {{Asynchronous Doubly Stochastic Sparse Kernel Learning}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2018}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/11803}, } @inproceedings{iclr2017_understanding_28311, title = {{Understanding Trainable Sparse Coding with Matrix Factorization}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2017}, url = {https://openreview.net/forum?id=SJGPL9Dex}, } @inproceedings{neurips2017_convergence_56217, title = {{Convergence of Gradient EM on Multi-component Mixture of Gaussians}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2017}, url = {https://nips.cc/virtual/2017/poster/9462}, } @inproceedings{aaai2017_solving_104512, title = {{Solving Indefinite Kernel Support Vector Machine with Difference of Convex Functions Programming}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2017}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/10889}, } @inproceedings{cvpr2023_on_21759, title = {{On the Convergence of IRLS and Its Variants in Outlier-Robust Estimation}}, booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)}, year = {2023}, url = {https://cvpr.thecvf.com/virtual/2023/poster/21998}, } @inproceedings{aaai2020_safe_102320, title = {{Safe Sample Screening for Robust Support Vector Machine}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2020}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/6182}, } @inproceedings{aaai2016_stochastic_105070, title = {{Stochastic Optimization for Kernel PCA}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2016}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/10242}, } @inproceedings{icml2016_fast_35839, title = {{Fast Stochastic Algorithms for SVD and PCA: Convergence Properties and Convexity}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2016}, url = {https://proceedings.mlr.press/v48/shamira16.html}, } @inproceedings{neurips2018_dual_57074, title = {{Dual Principal Component Pursuit: Improved Analysis and Efficient Algorithms}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2018}, url = {https://nips.cc/virtual/2018/poster/11228}, } @inproceedings{iclr2022_gradient_31529, title = {{Gradient Step Denoiser for convergent Plug-and-Play}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2022}, url = {https://iclr.cc/virtual/2022/poster/6192}, } @inproceedings{aaai2016_an_105081, title = {{An Alternating Proximal Splitting Method with Global Convergence for Nonconvex Structured Sparsity Optimization}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2016}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/10253}, } @inproceedings{icml2020_high_38283, title = {{High-dimensional Robust Mean Estimation via Gradient Descent}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2020}, url = {https://icml.cc/virtual/2020/poster/6824}, } @inproceedings{neurips2018_inexact_57235, title = {{Inexact trust-region algorithms on Riemannian manifolds}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2018}, url = {https://nips.cc/virtual/2018/poster/11421}, } @inproceedings{aaai2017_efficient_101073, title = {{Efficient Stochastic Optimization for Low-Rank Distance Metric Learning}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2017}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/10649}, } @inproceedings{neurips2021_iteratively_61136, title = {{Iteratively Reweighted Least Squares for Basis Pursuit with Global Linear Convergence Rate}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2021}, url = {https://nips.cc/virtual/2021/poster/26357}, } @inproceedings{icml2017_doubly_36163, title = {{Doubly Greedy Primal-Dual Coordinate Descent for Sparse Empirical Risk Minimization}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2017}, url = {https://icml.cc/virtual/2017/poster/864}, } @inproceedings{icml2018_gradient_36722, title = {{Gradient Descent for Sparse Rank-One Matrix Completion for Crowd-Sourced Aggregation of Sparsely Interacting Workers}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2018}, url = {https://icml.cc/virtual/2018/poster/2196}, } @inproceedings{aaai2025_non_10128, title = {{Non-Convex Tensor Recovery from Local Measurements}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2025}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/35462}, } @inproceedings{aaai2024_privacy_6989, title = {{Privacy Amplification by Iteration for ADMM with (Strongly) Convex Objective Functions}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2024}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/28998}, } @inproceedings{iclr2024_a_33870, title = {{A Fast and Provable Algorithm for Sparse Phase Retrieval}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2024}, url = {https://iclr.cc/virtual/2024/poster/19205}, } @inproceedings{icml2024_weakly_43856, title = {{Weakly Convex Regularisers for Inverse Problems: Convergence of Critical Points and Primal-Dual Optimisation}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/34596}, } @inproceedings{neurips2024_sample_72721, title = {{Sample-Efficient Geometry Reconstruction from Euclidean Distances using Non-Convex Optimization}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/94667}, } @inproceedings{neurips2025_learning_80458, title = {{Learning Cocoercive Conservative Denoisers via Helmholtz Decomposition for Poisson Imaging Inverse Problems}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2025}, url = {https://openreview.net/forum?id=zl4FR39Ibh}, } @inproceedings{aaai2025_in_9546, title = {{In-depth Analysis of Low-rank Matrix Factorisation in a Federated Setting}}, booktitle = {AAAI Conference on Artificial Intelligence (AAAI)}, year = {2025}, url = {https://ojs.aaai.org/index.php/AAAI/article/view/34192}, } @inproceedings{icml2024_optimization_44365, title = {{Optimization without Retraction on the Random Generalized Stiefel Manifold}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/34087}, } @inproceedings{icml2024_non_44540, title = {{Non-parametric Online Change Point Detection on Riemannian Manifolds}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/33912}, } @inproceedings{icml2024_private_45109, title = {{Private Gradient Descent for Linear Regression: Tighter Error Bounds and Instance-Specific Uncertainty Estimation}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2024}, url = {https://icml.cc/virtual/2024/poster/33343}, } @inproceedings{icml2025_scalable_46035, title = {{Scalable First-order Method for Certifying Optimal k-Sparse GLMs}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2025}, url = {https://icml.cc/virtual/2025/poster/46512}, } @inproceedings{icml2025_preconditioned_48609, title = {{Preconditioned Riemannian Gradient Descent Algorithm for Low-Multilinear-Rank Tensor Completion}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2025}, url = {https://icml.cc/virtual/2025/poster/44012}, } @inproceedings{icml2026_improved_52297, title = {{Improved Analysis of the Accelerated Noisy Power Method with Applications to Decentralized PCA}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2026}, url = {https://openreview.net/forum?id=UTiEfkfNQ2}, } @inproceedings{icml2026_riemannian_52929, title = {{Riemannian stochastic optimization for sufficient dimension reduction}}, booktitle = {International Conference on Machine Learning (ICML)}, year = {2026}, url = {https://openreview.net/forum?id=aLnPza1dyT}, } @inproceedings{neurips2024_globally_70271, title = {{Globally Q-linear Gauss-Newton Method for Overparameterized Non-convex Matrix Sensing}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2024}, url = {https://neurips.cc/virtual/2024/poster/96818}, } @inproceedings{neurips2025_guarantees_75538, title = {{Guarantees for Alternating Least Squares in Overparameterized Tensor Decompositions}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2025}, url = {https://openreview.net/forum?id=9FDErIfoVE}, } @inproceedings{neurips2025_map_77678, title = {{MAP Estimation with Denoisers: Convergence Rates and Guarantees}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2025}, url = {https://openreview.net/forum?id=WL55AVdvxq}, } @inproceedings{neurips2025_non_80177, title = {{Non-Convex Tensor Recovery from Tube-Wise Sensing}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2025}, url = {https://openreview.net/forum?id=wztnOaiNz7}, } @inproceedings{iclr2026_on_85886, title = {{On the Benefits of Weight Normalization for Overparameterized Matrix Sensing}}, booktitle = {International Conference on Learning Representations (ICLR)}, year = {2026}, url = {https://openreview.net/forum?id=JIMM5YLShy}, } @inproceedings{neurips2026_high_92259, title = {{High-Probability Minimax Adaptive Estimation in Besov Spaces via Online-to-Batch}}, booktitle = {Advances in Neural Information Processing Systems (NeurIPS)}, year = {2026}, url = {https://neurips.cc/virtual/2026/poster/149324}, }