Calibrated Forecasts: The Minimax Proof
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Abstract (arXiv)
A formal write-up of the simple proof (1995) of the existence of calibrated forecasts by the minimax theorem, which moreover shows that N3 periods suffice to guarantee a calibration error of at most 1/N.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). Builds on 2 of its 9 references that are in the map. First posted on arXiv 13 Sep 2022.
Builds on
2 of 9 references.
References · 2
- 2020Stronger Calibration Lower Bounds via Sidesteppingcited by 38
- 2022"Calibeating": Beating Forecasters at Their Own Gamecited by 14
Built on by
Citing papers per year: 2022: 1; 2023: 4; 2024: 5; 2025: 3; 2026: 4.
17 papers.
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- 2023U-Calibration: Forecasting for an Unknown Agentcited by 46
- 2023A Unifying Perspective on Multi-Calibration: Game Dynamics for Multi-Objective Learningcited by 30
- 2023Calibrated Stackelberg Games: Learning Optimal Commitments Against Calibrated Agentscited by 25
- 2022Forecast Hedging and Calibrationcited by 22
- 2023Classifier Calibration with ROC-Regularized Isotonic Regressioncited by 19
- 2024On the Distance from Calibration in Sequential Predictioncited by 19
- 2024Calibration Error for Decision Makingcited by 13
- 2024Optimal Multiclass U-Calibration Error and Beyondcited by 13
- 2025High dimensional online calibration in polynomial timecited by 13
- 2025High-Dimensional Calibration from Swap Regretcited by 13
- 2024Truthfulness of Calibration Measurescited by 7
- 2024Learning With Multi-Group Guarantees For Clusterable Subpopulationscited by 3
5 more
- 2026Computational and Statistical Hardness of Calibration Distancecited by 1
- 2026Instance-Adaptive Online Multicalibrationcited by 1
- 2026Proper Calibeatingcited by 1
- 2026Efficient Sequential Calibration with O(T2/3-ε) Error Boundcited by 1
- 2025Improved and Oracle-Efficient Online ℓ1-Multicalibrationcited by 0
- 2026Efficient Sequential Calibration with O(T2/3-ε) Error Bound14 Jul 2026
- 2026Proper Calibeating26 May 2026
- 2026Instance-Adaptive Online Multicalibration10 May 2026
- 2026Computational and Statistical Hardness of Calibration Distance19 Mar 2026
- 2025High-Dimensional Calibration from Swap Regret27 May 2025
- 2025Improved and Oracle-Efficient Online ℓ1-Multicalibration23 May 2025
- 2025High dimensional online calibration in polynomial time12 Apr 2025
- 2024Learning With Multi-Group Guarantees For Clusterable Subpopulations18 Oct 2024
- 2024Truthfulness of Calibration Measures19 Jul 2024
- 2024Optimal Multiclass U-Calibration Error and Beyond28 May 2024
- 2024Calibration Error for Decision Making21 Apr 2024
- 2024On the Distance from Calibration in Sequential Prediction12 Feb 2024
5 more
- 2023Classifier Calibration with ROC-Regularized Isotonic Regression21 Nov 2023
- 2023U-Calibration: Forecasting for an Unknown Agent30 Jun 2023
- 2023Calibrated Stackelberg Games: Learning Optimal Commitments Against Calibrated Agents5 Jun 2023
- 2023A Unifying Perspective on Multi-Calibration: Game Dynamics for Multi-Objective Learning21 Feb 2023
- 2022Forecast Hedging and Calibration13 Oct 2022
- 2023U-Calibration: Forecasting for an Unknown Agentcited by 46
- 2023A Unifying Perspective on Multi-Calibration: Game Dynamics for Multi-Objective Learningcited by 30
- 2023Calibrated Stackelberg Games: Learning Optimal Commitments Against Calibrated Agentscited by 25
- 2022Forecast Hedging and Calibrationcited by 22
- 2023Classifier Calibration with ROC-Regularized Isotonic Regressioncited by 19
- 2024On the Distance from Calibration in Sequential Predictioncited by 19
- 2024Calibration Error for Decision Makingcited by 13
- 2024Optimal Multiclass U-Calibration Error and Beyondcited by 13
- 2025High dimensional online calibration in polynomial timecited by 13
- 2025High-Dimensional Calibration from Swap Regretcited by 13
- 2024Truthfulness of Calibration Measurescited by 7
- 2024Learning With Multi-Group Guarantees For Clusterable Subpopulationscited by 3
12 most cited of 17 All 17 (JSON)
- 2026Efficient Sequential Calibration with O(T2/3-ε) Error Bound14 Jul 2026
- 2026Proper Calibeating26 May 2026
- 2026Instance-Adaptive Online Multicalibration10 May 2026
- 2026Computational and Statistical Hardness of Calibration Distance19 Mar 2026
- 2025High-Dimensional Calibration from Swap Regret27 May 2025
- 2025Improved and Oracle-Efficient Online ℓ1-Multicalibration23 May 2025
- 2025High dimensional online calibration in polynomial time12 Apr 2025
- 2024Learning With Multi-Group Guarantees For Clusterable Subpopulations18 Oct 2024
- 2024Truthfulness of Calibration Measures19 Jul 2024
- 2024Optimal Multiclass U-Calibration Error and Beyond28 May 2024
- 2024Calibration Error for Decision Making21 Apr 2024
- 2024On the Distance from Calibration in Sequential Prediction12 Feb 2024
12 newest of 17 All 17 (JSON)