LipSSM: Structurally Lipschitz-Bounded Cascaded State-Space Model via Metric Transfer between Consecutive SSM Layers

arXiv:2609.30973 · cs.LG, cs.SY, eess.SY · Submitted 2026-09-25 · Read on arXiv

cs.LG, cs.SY, eess.SY

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Robustness — 7× in this paper · explained in 5 episodes
• System Identification — 4× in this paper · explained in 3 episodes
• Adam — 3× in this paper · explained in 2 episodes
• Core — 3× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Theoretical Guarantees — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• Adversarial Examples — 1× in this paper · explained in 2 episodes
• Adversarial Robustness — 1× in this paper · explained in 3 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Convolutional Neural Networks (CNNs) — 1× in this paper · explained in 2 episodes

Sources

• Lipschitz constant estimation for general neural network architectures using control tools
• Mamba: Linear-Time Sequence Modeling with Selective State Spaces
• R2DN: Scalable Parameterization of Contracting and Lipschitz Recurrent Deep Networks

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