State-space models through the lens of ensemble control

arXiv:2603.13587 · math.OC, cs.LG · Submitted 2026-03-13 · Read on arXiv

math.OC, cs.LG

Submitted: 2026-03-13

Updated: 2026-09-29

Terminology

• Regularization — 7× in this paper · explained in 3 episodes
• Transformer — 7× in this paper · explained in 2 episodes
• Parameterization — 5× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Closed-Loop Control — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Grounding — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Parameter Efficiency — 1× in this paper · explained in 3 episodes
• Transformer Architecture — 1× in this paper · explained in 2 episodes
• Vision Transformer (ViT) — 1× in this paper · explained in 2 episodes

Sources

• Efficiently Modeling Long Sequences with Structured State Spaces
• Optimal Control for Transformer Architectures: Enhancing Generalization, Robustness and Efficiency
• Point Mamba: A Novel Point Cloud Backbone Based on State Space Model with Octree-Based Ordering Strategy
• WSSM: Geographic-enhanced hierarchical state-space model for global station weather forecast

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