Harmonic weighting makes online calibration polynomial in forecast dimension

The authors obtain calibration after d^{O(1/ε)} rounds for both simultaneous binary events and multiclass predictions.

Big Tech
Maxwell Fishelson · Mehryar Mohri

Institute for Advanced Study · Google Research · Courant Institute of Mathematical Sciences, New York

Research Digest··2 min read
Fishelson and Mohri give a single online algorithm for calibrating high-dimensional forecasts without assuming a stochastic model for outcomes.

The authors study distributional online calibration over an arbitrary convex forecast set Y and under an arbitrary error norm.

Why this paper

From Google Research and 2 others

In one line

Harmonic weighting achieves ε-calibration in d^{O(1/ε)} rounds for multi-event and multi-class forecasting.

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