Latest Research in Geometric Analysis and Curvature Flows

Top Research Topics in Geometric Analysis and Curvature Flows

• Optimization and Control — 11 papers
• Stochastic Gradient Optimization Techniques — 3 papers
• Machine Learning — 2 papers
• Geometric Analysis and Curvature Flows — 2 papers
• Systems and Control — 1 papers
• Tensor decomposition and applications — 1 papers
• Statistics Theory — 1 papers
• Probability and Risk Models — 1 papers

Highest-Cited Papers

1. Near-Optimal Pure Single-Loop Extragradient Method for Strongly Convex--Strongly Concave Minimax Optimization
2. Optimal Network Dependence in Distributed Stochastic Optimization via Tree Routing
3. Projection-Free Multi-level Algorithms for Stochastic Constrained Compositional Optimization
4. Finite-sample guarantees for data-driven operator splitting methods via martingale inequalities
5. Ceiling-Normalized Storage Bounds for Binary Tensor Trains: Exact scaling laws and compression crossovers for quantics representations
6. Curvature-Independent Regret Bounds for Distributed Online Optimization on Hadamard Manifolds
7. A sequential smoothing majorant stochastic approximation method for nonconvex nonconcave minimax problems
8. On Minimax Optimality and Uniqueness of Fixed-Step First-Order Methods for Smooth Convex Optimization
9. A Stochastic Recursive Gradient Algorithm with Random Barzilai-Borwein Step Size for Convex Optimization
10. A Stochastic Riemannian Alternating Descent Ascent Method for Nonsmooth Composite Expectation Optimization on Riemannian Manifolds
11. On the Convergence of HalpernSGD
12. Robust dimension-free estimation of simple random tensors: optimal guarantees under heavy tails and adversarial contamination
13. Wasserstein Metric as Optimal Transport with Sobolev Link — E8 Intelligence Research
14. Wasserstein Geometry: Bridging Probability and Lipschitz Duality — E8 Intelligence Research
15. Subsampled cubic regularization method with distinct sample sizes for function, gradient, and Hessian
16. Quadratic Optimization over Probability Measures with Coupling Constraints
17. Prelimit Coupling and Steady-State Convergence of Constant-Step-Size Nonsmooth Contractive Stochastic Approximation
18. Steady state Hidden Markov Model with rare events
19. On the Convergence of a Noisy Gradient Method for Non-convex Distributed Resource Allocation: Saddle Point Escape
20. Approximating invariant functions with the sorting trick is theoretically justified