{"total":64,"rows":[{"id":"2106.14472","title":"Hyperbolic Busemann Learning with Ideal Prototypes","created":"2021-06-28","cited_by_count":41,"area":null},{"id":"2106.00286","title":"On Riemannian Optimization over Positive Definite Matrices with the Bures-Wasserstein Geometry","created":"2021-06-01","cited_by_count":32,"area":null},{"id":"2110.11657","title":"Projective Manifold Gradient Layer for Deep Rotation Regression","created":"2021-10-22","cited_by_count":31,"area":null},{"id":"2303.16510","title":"Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints","created":"2023-03-29","cited_by_count":18,"area":null},{"id":"2504.08896","title":"Position: Beyond Euclidean -- Foundation Models Should Embrace Non-Euclidean Geometries","created":"2025-04-11","cited_by_count":18,"area":null},{"id":"2206.05891","title":"Anchor Sampling for Federated Learning with Partial Client Participation","created":"2022-06-13","cited_by_count":14,"area":null},{"id":"2206.05668","title":"Federated Learning on Riemannian Manifolds","created":"2022-06-12","cited_by_count":13,"area":null},{"id":"2102.07586","title":"On Riemannian Stochastic Approximation Schemes with Fixed Step-Size","created":"2021-02-15","cited_by_count":12,"area":null},{"id":"2204.11418","title":"Riemannian Hamiltonian methods for min-max optimization on manifolds","created":"2022-04-25","cited_by_count":12,"area":null},{"id":"2205.09494","title":"Differentially private Riemannian optimization","created":"2022-05-19","cited_by_count":12,"area":null},{"id":"2601.23000","title":"Mano: Restriking Manifold Optimization for LLM Training","created":"2026-01-30","cited_by_count":12,"area":null},{"id":"2205.14173","title":"Momentum Stiefel Optimizer, with Applications to Suitably-Orthogonal Attention, and Optimal Transport","created":"2022-05-27","cited_by_count":11,"area":null},{"id":"2203.06031","title":"Exploiting Low-Rank Tensor-Train Deep Neural Networks Based on Riemannian Gradient Descent With Illustrations of Speech Processing","created":"2022-03-11","cited_by_count":10,"area":null},{"id":"2206.02041","title":"First-Order Algorithms for Min-Max Optimization in Geodesic Metric Spaces","created":"2022-06-04","cited_by_count":10,"area":null},{"id":"2202.06950","title":"Sion's Minimax Theorem in Geodesic Metric Spaces and a Riemannian Extragradient Algorithm","created":"2022-02-13","cited_by_count":9,"area":null},{"id":"2203.04437","title":"The Flag Median and FlagIRLS","created":"2022-03-08","cited_by_count":9,"area":null},{"id":"2302.03825","title":"Decentralized Riemannian Algorithm for Nonconvex Minimax Problems","created":"2023-02-08","cited_by_count":7,"area":null},{"id":"2302.14796","title":"Particle-based Online Bayesian Sampling","created":"2023-02-28","cited_by_count":7,"area":null},{"id":"2309.14506","title":"Zeroth-order Riemannian Averaging Stochastic Approximation Algorithms","created":"2023-09-25","cited_by_count":7,"area":null},{"id":"2405.01702","title":"Optimization without Retraction on the Random Generalized Stiefel Manifold","created":"2024-05-02","cited_by_count":7,"area":null},{"id":"2108.07406","title":"From the Greene--Wu Convolution to Gradient Estimation over Riemannian Manifolds","created":"2021-08-17","cited_by_count":6,"area":null},{"id":"2509.05757","title":"Hyperbolic Large Language Models","created":"2025-09-06","cited_by_count":6,"area":null},{"id":"2207.07287","title":"Riemannian Natural Gradient Methods","created":"2022-07-15","cited_by_count":5,"area":null},{"id":"2208.06619","title":"Riemannian accelerated gradient methods via extrapolation","created":"2022-08-13","cited_by_count":5,"area":null},{"id":"2310.01032","title":"The Fisher-Rao geometry of CES distributions","created":"2023-10-02","cited_by_count":5,"area":null},{"id":"2404.10029","title":"Federated Learning on Riemannian Manifolds with Differential Privacy","created":"2024-04-15","cited_by_count":5,"area":null},{"id":"2101.05657","title":"No-go Theorem for Acceleration in the Hyperbolic Plane","created":"2021-01-14","cited_by_count":4,"area":null},{"id":"2211.14645","title":"Accelerated Riemannian Optimization: Handling Constraints with a Prox to Bound Geometric Penalties","created":"2022-11-26","cited_by_count":4,"area":null},{"id":"2305.16186","title":"Accelerated Methods for Riemannian Min-Max Optimization Ensuring Bounded Geometric Penalties","created":"2023-05-25","cited_by_count":4,"area":null},{"id":"2406.02225","title":"Riemannian coordinate descent algorithms on matrix manifolds","created":"2024-06-04","cited_by_count":4,"area":null},{"id":"2409.07223","title":"Riemannian Federated Learning via Averaging Gradient Streams","created":"2024-09-11","cited_by_count":4,"area":null},{"id":"2111.02763","title":"Understanding Riemannian Acceleration via a Proximal Extragradient Framework","created":"2021-11-04","cited_by_count":3,"area":null},{"id":"2207.01916","title":"Hierarchical Symbolic Reasoning in Hyperbolic Space for Deep Discriminative Models","created":"2022-07-05","cited_by_count":3,"area":"lr"},{"id":"2402.03883","title":"A Framework for Bilevel Optimization on Riemannian Manifolds","created":"2024-02-06","cited_by_count":3,"area":null},{"id":"2505.12378","title":"Efficient Optimization with Orthogonality Constraint: a Randomized Riemannian Submanifold Method","created":"2025-05-18","cited_by_count":3,"area":null},{"id":"2509.11236","title":"Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives","created":"2025-09-14","cited_by_count":3,"area":null},{"id":"2109.10680","title":"rSVDdpd: A Robust Scalable Video Surveillance Background Modelling Algorithm","created":"2021-09-22","cited_by_count":2,"area":null},{"id":"2208.13643","title":"A Variance-Reduced Stochastic Gradient Tracking Algorithm for Decentralized Optimization with Orthogonality Constraints","created":"2022-08-29","cited_by_count":2,"area":null},{"id":"2303.11602","title":"Convergence of variational Monte Carlo simulation and scale-invariant pre-training","created":"2023-03-21","cited_by_count":2,"area":null},{"id":"2305.02041","title":"Low-complexity subspace-descent over symmetric positive definite manifold","created":"2023-05-03","cited_by_count":2,"area":null},{"id":"2306.16617","title":"Last-Iterate Convergence of Adaptive Riemannian Gradient Descent for Equilibrium Computation","created":"2023-06-29","cited_by_count":2,"area":null},{"id":"2402.03467","title":"Stochastic Modified Flows for Riemannian Stochastic Gradient Descent","created":"2024-02-02","cited_by_count":2,"area":null},{"id":"2403.06677","title":"Streamlining in the Riemannian Realm: Efficient Riemannian Optimization with Loopless Variance Reduction","created":"2024-03-11","cited_by_count":2,"area":null},{"id":"2206.11426","title":"On a class of geodesically convex optimization problems solved via Euclidean MM methods","created":"2022-06-22","cited_by_count":1,"area":null},{"id":"2207.09350","title":"Riemannian Stochastic Gradient Method for Nested Composition Optimization","created":"2022-07-19","cited_by_count":1,"area":null},{"id":"2210.04840","title":"Rieoptax: Riemannian Optimization in JAX","created":"2022-10-10","cited_by_count":1,"area":null},{"id":"2302.04729","title":"Constrained Empirical Risk Minimization: Theory and Practice","created":"2023-02-09","cited_by_count":1,"area":null},{"id":"2406.02296","title":"Learning-Rate-Free Stochastic Optimization over Riemannian Manifolds","created":"2024-06-04","cited_by_count":1,"area":null},{"id":"2407.05261","title":"Disciplined Geodesically Convex Programming","created":"2024-07-07","cited_by_count":1,"area":null},{"id":"2410.09660","title":"Structured Regularization for Constrained Optimization on the SPD Manifold","created":"2024-10-12","cited_by_count":1,"area":null},{"id":"2506.10628","title":"Leveraging Low-rank Factorizations of Conditional Correlation Matrices in Graph Learning","created":"2025-06-12","cited_by_count":1,"area":null},{"id":"2512.03363","title":"Adaptive Aggregation with Two Gains in QFL","created":"2025-12-03","cited_by_count":1,"area":null},{"id":"2603.08374","title":"This Looks Distinctly Like That: Grounding Interpretable Recognition in Stiefel Geometry against Neural Collapse","created":"2026-03-09","cited_by_count":1,"area":null},{"id":"2112.02531","title":"Trivial bundle embeddings for learning graph representations","created":"2021-12-05","cited_by_count":0,"area":null},{"id":"2302.11076","title":"Faster Riemannian Newton-type Optimization by Subsampling and Cubic Regularization","created":"2023-02-22","cited_by_count":0,"area":null},{"id":"2401.13530","title":"Continuous-time Riemannian SGD and SVRG Flows on Wasserstein Probabilistic Space","created":"2024-01-24","cited_by_count":0,"area":null},{"id":"2502.00320","title":"$k$-SVD with Gradient Descent","created":"2025-02-01","cited_by_count":0,"area":null},{"id":"2601.08039","title":"Riemannian Zeroth-Order Gradient Estimation with Structure-Preserving Metrics for Geodesically Incomplete Manifolds","created":"2026-01-12","cited_by_count":0,"area":null},{"id":"2603.12026","title":"Efficient Generative Modeling with Unitary Matrix Product States Using Riemannian Optimization","created":"2026-03-12","cited_by_count":0,"area":null},{"id":"2603.17527","title":"Mirror Descent on Riemannian Manifolds","created":"2026-03-18","cited_by_count":0,"area":null},{"id":"2604.03566","title":"Fr\\'echet Regression on the Bures-Wasserstein Manifold","created":"2026-04-04","cited_by_count":0,"area":null},{"id":"2606.00413","title":"Riemannian Stochastic Optimization for Sufficient Dimension Reduction","created":"2026-05-29","cited_by_count":0,"area":null},{"id":"2608.04406","title":"Incremental Aggregation on the Grassmannian for Asynchronous Eigenspace Computation","created":"2026-08-05","cited_by_count":0,"area":null},{"id":"2609.21039","title":"Stiefel-AdamW: Geometry-Aware AdamW for Linear Factorization Blocks","created":"2026-09-17","cited_by_count":0,"area":null}],"next_cursor":null}