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G. Calafiore

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Preprint Sep 2026

Collective Tube Model Predictive Control With Distribution-Free Joint Safety Certificates

Data-calibrated stochastic MPC typically builds separate risk margins for many events along the horizon, such as times, facets, state/input components, or obstacles, and then combines them with a union bound. This approach is valid, but it does not match the key object used in the tube-MPC recursive-feasibility proof,...

G. Calafiore · 0 citations

#machine learning Preprint Sep 2026

Exact Risk-Complexity Laws for Projective Boundaries in Scenario Optimization and Distribution-Free Certification

The framework covers scalar order-statistic calibration, support-reconstructive scenario programs, cascaded support-removal certificates, coordinatewise envelopes, and Pareto-frontier calibration with vector scores and yields conditional probabilistic certificates and a no-go result explaining why observed complexity a...

G. Calafiore · 0 citations