| Geoopt: Riemannian Optimization in PyTorch | May 6, 2020 | Riemannian optimization | CodeCode Available | 2 |
| Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach | Jun 9, 2021 | Graph ReconstructionNode Classification | CodeCode Available | 2 |
| Geomstats: A Python Package for Riemannian Geometry in Machine Learning | Apr 7, 2020 | BIG-bench Machine LearningClustering | CodeCode Available | 2 |
| Riemannian Adaptive Optimization Methods | Oct 1, 2018 | Riemannian optimizationStochastic Optimization | CodeCode Available | 2 |
| geomstats: a Python Package for Riemannian Geometry in Machine Learning | May 21, 2018 | BIG-bench Machine LearningGPU | CodeCode Available | 2 |
| Riemannian Optimization on Relaxed Indicator Matrix Manifold | Mar 26, 2025 | Denoisingglobal-optimization | CodeCode Available | 2 |
| FireANTs: Adaptive Riemannian Optimization for Multi-Scale Diffeomorphic Matching | Apr 1, 2024 | CPUImage Registration | CodeCode Available | 2 |
| Poincaré Embeddings for Learning Hierarchical Representations | May 22, 2017 | Graph EmbeddingRepresentation Learning | CodeCode Available | 1 |
| Fast hyperboloid decision tree algorithms | Oct 20, 2023 | BenchmarkingRiemannian optimization | CodeCode Available | 1 |
| Graph Neural Networks on SPD Manifolds for Motor Imagery Classification: A Perspective from the Time-Frequency Analysis | Oct 25, 2022 | ClassificationEEG | CodeCode Available | 1 |
| Projective Manifold Gradient Layer for Deep Rotation Regression | Oct 22, 2021 | regressionRiemannian optimization | CodeCode Available | 1 |
| Tensor-Train Density Estimation | Jul 30, 2021 | Density EstimationRiemannian optimization | CodeCode Available | 1 |
| Contrastive Video Representation Learning via Adversarial Perturbations | Jul 24, 2018 | Action RecognitionBinary Classification | —Unverified | 0 |
| A Manifold Approach to Learning Mutually Orthogonal Subspaces | Mar 8, 2017 | Domain AdaptationRiemannian optimization | —Unverified | 0 |
| Learning Discriminative Video Representations Using Adversarial Perturbations | Sep 1, 2018 | Binary ClassificationRiemannian optimization | —Unverified | 0 |
| Automatic differentiation for Riemannian optimization on low-rank matrix and tensor-train manifolds | Mar 27, 2021 | Riemannian optimization | —Unverified | 0 |
| Affinity guided Geometric Semi-Supervised Metric Learning | Feb 27, 2020 | Metric LearningRiemannian optimization | —Unverified | 0 |
| Accelerated Riemannian Optimization: Handling Constraints with a Prox to Bound Geometric Penalties | Nov 26, 2022 | Open-Ended Question AnsweringRiemannian optimization | —Unverified | 0 |
| Learning Mixed-Curvature Representations in Product Spaces | May 1, 2019 | Riemannian optimizationWord Embeddings | —Unverified | 0 |
| Coupling Matrix Manifolds and Their Applications in Optimal Transport | Nov 15, 2019 | Riemannian optimization | —Unverified | 0 |
| A dual framework for low-rank tensor completion | Dec 4, 2017 | Riemannian optimization | —Unverified | 0 |
| Learning an Invariant Hilbert Space for Domain Adaptation | Nov 25, 2016 | Domain AdaptationRiemannian optimization | —Unverified | 0 |
| Design of Artificial Interference Signals for Covert Communication Aided by Multiple Friendly Nodes | Apr 14, 2024 | Riemannian optimization | —Unverified | 0 |
| Differential Evolution for Grassmann Manifold Optimization: A Projection Approach | Mar 27, 2025 | Riemannian optimization | —Unverified | 0 |
| Differentially private Riemannian optimization | May 19, 2022 | Riemannian optimization | —Unverified | 0 |
| Dimensionality Reduction on Grassmannian via Riemannian Optimization: A Generalized Perspective | Nov 17, 2017 | Dimensionality ReductionRiemannian optimization | —Unverified | 0 |
| A Variance-Reduced Stochastic Gradient Tracking Algorithm for Decentralized Optimization with Orthogonality Constraints | Aug 29, 2022 | Autonomous DrivingRiemannian optimization | —Unverified | 0 |
| Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley Transform | Feb 4, 2020 | Riemannian optimization | —Unverified | 0 |
| Averaging Stochastic Gradient Descent on Riemannian Manifolds | Feb 26, 2018 | Riemannian optimization | —Unverified | 0 |
| Escape saddle points faster on manifolds via perturbed Riemannian stochastic recursive gradient | Oct 23, 2020 | Riemannian optimization | —Unverified | 0 |
| Understanding Riemannian Acceleration via a Proximal Extragradient Framework | Nov 4, 2021 | Riemannian optimization | —Unverified | 0 |
| Convergence and Complexity Guarantee for Inexact First-order Riemannian Optimization Algorithms | May 5, 2024 | Riemannian optimizationTensor Decomposition | —Unverified | 0 |
| Hyperboloid GPLVM for Discovering Continuous Hierarchies via Nonparametric Estimation | Oct 22, 2024 | Bayesian InferenceDimensionality Reduction | —Unverified | 0 |
| Learning Discriminative ab-Divergences for Positive Definite Matrices | Oct 1, 2017 | Dictionary LearningMetric Learning | —Unverified | 0 |
| Communication-Efficient Distributed PCA by Riemannian Optimization | Jan 1, 2020 | Riemannian optimization | —Unverified | 0 |
| Fast Quantum Process Tomography via Riemannian Gradient Descent | Apr 29, 2024 | Riemannian optimization | —Unverified | 0 |
| Hamiltonian Monte-Carlo for Orthogonal Matrices | Jan 23, 2019 | Riemannian optimization | —Unverified | 0 |
| Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization | Dec 31, 2020 | RetrievalRiemannian optimization | —Unverified | 0 |
| Approximate Birkhoff-von-Neumann decomposition: a differentiable approach | Jan 1, 2021 | FairnessRiemannian optimization | —Unverified | 0 |
| Gaussian-Mixture-Model Q-Functions for Reinforcement Learning by Riemannian Optimization | Sep 6, 2024 | Reinforcement Learning (RL)Riemannian optimization | —Unverified | 0 |
| A Riemannian Optimization Perspective of the Gauss-Newton Method for Feedforward Neural Networks | Dec 18, 2024 | Riemannian optimization | —Unverified | 0 |
| Convergence and complexity of block majorization-minimization for constrained block-Riemannian optimization | Dec 16, 2023 | Dictionary LearningRiemannian optimization | —Unverified | 0 |
| Generalized Rank Pooling for Activity Recognition | Apr 7, 2017 | Action RecognitionActivity Recognition | —Unverified | 0 |
| Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality | Feb 21, 2014 | Riemannian optimization | —Unverified | 0 |
| Geometric optimisation on positive definite matrices for elliptically contoured distributions | Dec 1, 2013 | Riemannian optimization | —Unverified | 0 |
| Geometry Aware Constrained Optimization Techniques for Deep Learning | Jun 1, 2018 | Deep LearningMetric Learning | —Unverified | 0 |
| Higher Order Reduced Rank Regression | Mar 9, 2025 | regressionRiemannian optimization | —Unverified | 0 |
| Faster Riemannian Newton-type Optimization by Subsampling and Cubic Regularization | Feb 22, 2023 | Riemannian optimizationVocal Bursts Type Prediction | —Unverified | 0 |
| Faster Randomized Methods for Orthogonality Constrained Problems | Jun 22, 2021 | Riemannian optimization | —Unverified | 0 |
| Leveraging Low-rank Factorizations of Conditional Correlation Matrices in Graph Learning | Jun 12, 2025 | Graph LearningRiemannian optimization | —Unverified | 0 |