| Geoopt: Riemannian Optimization in PyTorch | May 6, 2020 | Riemannian optimization | CodeCode Available | 2 | 5 |
| Geomstats: A Python Package for Riemannian Geometry in Machine Learning | Apr 7, 2020 | BIG-bench Machine LearningClustering | CodeCode Available | 2 | 5 |
| Riemannian Optimization on Relaxed Indicator Matrix Manifold | Mar 26, 2025 | Denoisingglobal-optimization | CodeCode Available | 2 | 5 |
| Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach | Jun 9, 2021 | Graph ReconstructionNode Classification | CodeCode Available | 2 | 5 |
| Riemannian Adaptive Optimization Methods | Oct 1, 2018 | Riemannian optimizationStochastic Optimization | CodeCode Available | 2 | 5 |
| geomstats: a Python Package for Riemannian Geometry in Machine Learning | May 21, 2018 | BIG-bench Machine LearningGPU | CodeCode Available | 2 | 5 |
| FireANTs: Adaptive Riemannian Optimization for Multi-Scale Diffeomorphic Matching | Apr 1, 2024 | CPUImage Registration | CodeCode Available | 2 | 5 |
| Tensor-Train Density Estimation | Jul 30, 2021 | Density EstimationRiemannian optimization | CodeCode Available | 1 | 5 |
| Fast hyperboloid decision tree algorithms | Oct 20, 2023 | BenchmarkingRiemannian optimization | CodeCode Available | 1 | 5 |
| Projective Manifold Gradient Layer for Deep Rotation Regression | Oct 22, 2021 | regressionRiemannian optimization | CodeCode Available | 1 | 5 |
| Graph Neural Networks on SPD Manifolds for Motor Imagery Classification: A Perspective from the Time-Frequency Analysis | Oct 25, 2022 | ClassificationEEG | CodeCode Available | 1 | 5 |
| Poincaré Embeddings for Learning Hierarchical Representations | May 22, 2017 | Graph EmbeddingRepresentation Learning | CodeCode Available | 1 | 5 |
| Tensor-on-Tensor Regression: Riemannian Optimization, Over-parameterization, Statistical-computational Gap, and Their Interplay | Jun 17, 2022 | regressionRiemannian optimization | CodeCode Available | 0 | 5 |
| Spherical Text Embedding | Nov 4, 2019 | ClusteringRiemannian optimization | CodeCode Available | 0 | 5 |
| Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method | May 18, 2025 | Riemannian optimizationStochastic Optimization | CodeCode Available | 0 | 5 |
| Riemannian stochastic variance reduced gradient algorithm with retraction and vector transport | Feb 18, 2017 | Low-Rank Matrix CompletionMatrix Completion | CodeCode Available | 0 | 5 |
| Riemannian Optimization for Skip-Gram Negative Sampling | Apr 26, 2017 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Rieoptax: Riemannian Optimization in JAX | Oct 10, 2022 | CPUGPU | CodeCode Available | 0 | 5 |
| The Gaussian Discriminant Variational Autoencoder (GdVAE): A Self-Explainable Model with Counterfactual Explanations | Sep 19, 2024 | Classificationcounterfactual | CodeCode Available | 0 | 5 |
| Registration of algebraic varieties using Riemannian optimization | Jan 16, 2024 | DenoisingPoint Cloud Registration | CodeCode Available | 0 | 5 |
| Geometric Mean Metric Learning | Jul 18, 2016 | FormGeneral Classification | CodeCode Available | 0 | 5 |
| A Riemannian ADMM | Nov 3, 2022 | Dictionary LearningRiemannian optimization | CodeCode Available | 0 | 5 |
| A Spectral Framework for Tracking Communities in Evolving Networks | Dec 10, 2024 | Community DetectionDynamic Community Detection | CodeCode Available | 0 | 5 |
| Riemannian optimization for non-centered mixture of scaled Gaussian distributions | Sep 7, 2022 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Optimal Matrix-Mimetic Tensor Algebras via Variable Projection | Jun 11, 2024 | Image CompressionRiemannian optimization | CodeCode Available | 0 | 5 |
| Riemannian stochastic variance reduced gradient on Grassmann manifold | May 24, 2016 | Low-Rank Matrix CompletionMatrix Completion | CodeCode Available | 0 | 5 |
| On Riemannian Optimization over Positive Definite Matrices with the Bures-Wasserstein Geometry | Jun 1, 2021 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Optimization without Retraction on the Random Generalized Stiefel Manifold | May 2, 2024 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Elliptical Wishart distributions: information geometry, maximum likelihood estimator, performance analysis and statistical learning | Nov 5, 2024 | EEGRiemannian optimization | CodeCode Available | 0 | 5 |
| Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives | Aug 30, 2017 | Dimensionality ReductionRiemannian optimization | CodeCode Available | 0 | 5 |
| Riemannian block SPD coupling manifold and its application to optimal transport | Jan 30, 2022 | Riemannian optimization | CodeCode Available | 0 | 5 |
| MixEst: An Estimation Toolbox for Mixture Models | Jul 22, 2015 | ClusteringDensity Estimation | CodeCode Available | 0 | 5 |
| Causal Abstraction Learning based on the Semantic Embedding Principle | Feb 1, 2025 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Meta-Learning with Generalized Ridge Regression: High-dimensional Asymptotics, Optimality and Hyper-covariance Estimation | Mar 27, 2024 | Meta-Learningregression | CodeCode Available | 0 | 5 |
| Neural Collapse with Normalized Features: A Geometric Analysis over the Riemannian Manifold | Sep 19, 2022 | Multi-class ClassificationRepresentation Learning | CodeCode Available | 0 | 5 |
| Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints | Mar 29, 2023 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Accurate and fast matrix factorization for low-rank learning | Apr 21, 2021 | Matrix Factorization / DecompositionRiemannian optimization | CodeCode Available | 0 | 5 |
| Feedback Gradient Descent: Efficient and Stable Optimization with Orthogonality for DNNs | May 12, 2022 | Computational Efficiencyimage-classification | CodeCode Available | 0 | 5 |
| Block-Diagonal Orthogonal Relation and Matrix Entity for Knowledge Graph Embedding | Jan 11, 2024 | Graph EmbeddingKnowledge Graph Embedding | CodeCode Available | 0 | 5 |
| Accelerated Inference in Markov Random Fields via Smooth Riemannian Optimization | Oct 27, 2018 | Image SegmentationRiemannian optimization | CodeCode Available | 0 | 5 |
| Operator-valued formulas for Riemannian Gradient and Hessian and families of tractable metrics | Sep 21, 2020 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Learning with symmetric positive definite matrices via generalized Bures-Wasserstein geometry | Oct 20, 2021 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Learning Graphical Factor Models with Riemannian Optimization | Oct 21, 2022 | Graph LearningRiemannian optimization | CodeCode Available | 0 | 5 |
| An Alternative to EM for Gaussian Mixture Models: Batch and Stochastic Riemannian Optimization | Jun 10, 2017 | Density Estimationparameter estimation | CodeCode Available | 0 | 5 |
| Exponential Machines | May 12, 2016 | Recommendation SystemsRiemannian optimization | CodeCode Available | 0 | 5 |
| Pymanopt: A Python Toolbox for Optimization on Manifolds using Automatic Differentiation | Mar 10, 2016 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Low-complexity subspace-descent over symmetric positive definite manifold | May 3, 2023 | parameter estimationRiemannian optimization | CodeCode Available | 0 | 5 |
| Nonlinear matrix recovery using optimization on the Grassmann manifold | Sep 13, 2021 | Riemannian optimizationSecond-order methods | CodeCode Available | 0 | 5 |
| Riemannian Optimization via Frank-Wolfe Methods | Oct 30, 2017 | Riemannian optimization | CodeCode Available | 0 | 5 |
| Vector Transport Free Riemannian LBFGS for Optimization on Symmetric Positive Definite Matrix Manifolds | Aug 25, 2021 | Riemannian optimizationStochastic Optimization | CodeCode Available | 0 | 5 |
