| 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 |
| Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach | Jun 9, 2021 | Graph ReconstructionNode Classification | CodeCode Available | 2 |
| Geoopt: Riemannian Optimization in PyTorch | May 6, 2020 | Riemannian optimization | 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 |
| 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 |
| Poincaré Embeddings for Learning Hierarchical Representations | May 22, 2017 | Graph EmbeddingRepresentation Learning | CodeCode Available | 1 |
| Leveraging Low-rank Factorizations of Conditional Correlation Matrices in Graph Learning | Jun 12, 2025 | Graph LearningRiemannian optimization | —Unverified | 0 |
| PoLAR: Polar-Decomposed Low-Rank Adapter Representation | Jun 3, 2025 | Mathematical Problem-SolvingRiemannian optimization | —Unverified | 0 |
| Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method | May 18, 2025 | Riemannian optimizationStochastic Optimization | CodeCode Available | 0 |
| Riemannian Optimization on the Oblique Manifold for Sparse Simplex Constraints via Multiplicative Updates | Mar 31, 2025 | Riemannian optimization | —Unverified | 0 |
| Differential Evolution for Grassmann Manifold Optimization: A Projection Approach | Mar 27, 2025 | Riemannian optimization | —Unverified | 0 |
| Higher Order Reduced Rank Regression | Mar 9, 2025 | regressionRiemannian optimization | —Unverified | 0 |
| Multi-view Spectral Clustering on the Grassmannian Manifold With Hypergraph Representation | Mar 8, 2025 | ClusteringRepresentation Learning | —Unverified | 0 |
| The Distributionally Robust Optimization Model of Sparse Principal Component Analysis | Mar 4, 2025 | Riemannian optimization | —Unverified | 0 |
| Fast, Accurate Manifold Denoising by Tunneling Riemannian Optimization | Feb 24, 2025 | compressed sensingDenoising | —Unverified | 0 |
| Spectral-factorized Positive-definite Curvature Learning for NN Training | Feb 10, 2025 | Riemannian optimization | —Unverified | 0 |
| Causal Abstraction Learning based on the Semantic Embedding Principle | Feb 1, 2025 | Riemannian optimization | CodeCode Available | 0 |
| A Riemannian Optimization Perspective of the Gauss-Newton Method for Feedforward Neural Networks | Dec 18, 2024 | Riemannian optimization | —Unverified | 0 |
| A Spectral Framework for Tracking Communities in Evolving Networks | Dec 10, 2024 | Community DetectionDynamic Community Detection | CodeCode Available | 0 |
| Elliptical Wishart distributions: information geometry, maximum likelihood estimator, performance analysis and statistical learning | Nov 5, 2024 | EEGRiemannian optimization | CodeCode Available | 0 |
| Hyperboloid GPLVM for Discovering Continuous Hierarchies via Nonparametric Estimation | Oct 22, 2024 | Bayesian InferenceDimensionality Reduction | —Unverified | 0 |
| Structured Regularization for Constrained Optimization on the SPD Manifold | Oct 12, 2024 | Riemannian optimization | —Unverified | 0 |
| Riemannian Optimization for Non-convex Euclidean Distance Geometry with Global Recovery Guarantees | Oct 8, 2024 | Low-Rank Matrix CompletionMatrix Completion | —Unverified | 0 |
| The Gaussian Discriminant Variational Autoencoder (GdVAE): A Self-Explainable Model with Counterfactual Explanations | Sep 19, 2024 | Classificationcounterfactual | CodeCode Available | 0 |
| Gaussian-Mixture-Model Q-Functions for Reinforcement Learning by Riemannian Optimization | Sep 6, 2024 | Reinforcement Learning (RL)Riemannian optimization | —Unverified | 0 |
| Optimal Matrix-Mimetic Tensor Algebras via Variable Projection | Jun 11, 2024 | Image CompressionRiemannian optimization | CodeCode Available | 0 |
| Riemannian coordinate descent algorithms on matrix manifolds | Jun 4, 2024 | Riemannian optimization | —Unverified | 0 |
| Convergence and Complexity Guarantee for Inexact First-order Riemannian Optimization Algorithms | May 5, 2024 | Riemannian optimizationTensor Decomposition | —Unverified | 0 |
| Optimization without Retraction on the Random Generalized Stiefel Manifold | May 2, 2024 | Riemannian optimization | CodeCode Available | 0 |
| Fast Quantum Process Tomography via Riemannian Gradient Descent | Apr 29, 2024 | Riemannian optimization | —Unverified | 0 |
| Worst-Case Riemannian Optimization with Uncertain Target Steering Vector for Slow-Time Transmit Sequence of Cognitive Radar | Apr 16, 2024 | Riemannian optimization | —Unverified | 0 |
| Design of Artificial Interference Signals for Covert Communication Aided by Multiple Friendly Nodes | Apr 14, 2024 | Riemannian optimization | —Unverified | 0 |
| Meta-Learning with Generalized Ridge Regression: High-dimensional Asymptotics, Optimality and Hyper-covariance Estimation | Mar 27, 2024 | Meta-Learningregression | CodeCode Available | 0 |
| Near-Optimal differentially private low-rank trace regression with guaranteed private initialization | Mar 24, 2024 | regressionRiemannian optimization | —Unverified | 0 |
| Streamlining in the Riemannian Realm: Efficient Riemannian Optimization with Loopless Variance Reduction | Mar 11, 2024 | Distributed OptimizationRiemannian optimization | —Unverified | 0 |
| Registration of algebraic varieties using Riemannian optimization | Jan 16, 2024 | DenoisingPoint Cloud Registration | CodeCode Available | 0 |
| Block-Diagonal Orthogonal Relation and Matrix Entity for Knowledge Graph Embedding | Jan 11, 2024 | Graph EmbeddingKnowledge Graph Embedding | CodeCode Available | 0 |
| Convergence and complexity of block majorization-minimization for constrained block-Riemannian optimization | Dec 16, 2023 | Dictionary LearningRiemannian optimization | —Unverified | 0 |
| Riemannian Self-Attention Mechanism for SPD Networks | Nov 28, 2023 | BenchmarkingRiemannian optimization | —Unverified | 0 |
| Riemannian stochastic optimization methods avoid strict saddle points | Nov 4, 2023 | Dictionary LearningPolicy Gradient Methods | —Unverified | 0 |
| The Fisher-Rao geometry of CES distributions | Oct 2, 2023 | Riemannian optimization | —Unverified | 0 |
| Symplectic Structure-Aware Hamiltonian (Graph) Embeddings | Sep 9, 2023 | Node ClassificationRiemannian optimization | —Unverified | 0 |
| Multichannel Active Noise Control with Exterior Radiation Suppression Based on Riemannian Optimization | Jun 15, 2023 | Riemannian optimization | —Unverified | 0 |
| Riemannian Low-Rank Model Compression for Federated Learning with Over-the-Air Aggregation | Jun 4, 2023 | Federated LearningModel Compression | —Unverified | 0 |