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Regularizers Pair Model Fit With Robustness Through Shared Geometry

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Original post
OPPedro A. Ortega#1258Pedro A. Ortega@ADAPTIVEAGENTS

The same regularizer has a dual interpretation. Information cost is also the price of protection against loss perturbations. That is, fit and robustness are paired by the same geometry. This gives a certificate frontier above the loss frontier.

8:23 AM · May 19, 2026 View on X
REPLYPedro A. Ortega#1258Pedro A. Ortega@ADAPTIVEAGENTS

The gap between loss and certificate is the information cost expressed in loss units: the learner’s hedging premium.

Pedro A. OrtegaPedro A. Ortega@AdaptiveAgents

The same regularizer has a dual interpretation. Information cost is also the price of protection against loss perturbations. That is, fit and robustness are paired by the same geometry. This gives a certificate frontier above the loss frontier.

3:23 PM · May 19, 2026 · 134 Views
3:23 PM · May 19, 2026 · 123 Views