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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Mar 201719922001200920172026
4 results for H-infinity

New approach generates optimal disturbances for controller verification.

problem Optimizing disturbances for controller verification with blackbox access.
method Online learning approach that adaptively generates disturbances based on controller inputs.
result New algorithm (MOTR) outperforms existing methods in simulated examples.

Modeling financial systemic risk with optimal control theory for stability.

problem Analyzing and stabilizing systemic risk in interconnected financial entities.
method Developed a theoretical model using optimal control theory, including steps for synthesizing stabilizing controllers.
result The model ensures that the HH^{\infty} norms of the mappings from disturbance to output are less than a predefined constant, stabilizing the system.

The paper shows why AI safety doesn't generalize across tasks.

problem AI safety fails to generalize across unseen tasks.
method Theoretical analysis of linear-quadratic control with HH_{\infty}-robustness, empirical demonstrations in simulated quadcopter navigation and CRM.
result The mapping from task specification to an optimal controller has a higher Lipschitz constant with safety requirements than without, indicating inherent complexity of safety.