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It is often reported in forecast combination literature that a simple average of candidate forecasts is more robust than sophisticated combining methods. This phenomenon is usually referred to as the "forecast combination puzzle". Motivated…

Methodology · Statistics 2015-05-05 Wei Qian , Craig A. Rolling , Gang Cheng , Yuhong Yang

We propose a method for combining probabilistic outputs of classifiers to make a single consensus class prediction when no further information about the individual classifiers is available, beyond that they have been trained for the same…

Machine Learning · Computer Science 2020-09-02 Jordan F. Masakuna , Simukai W. Utete , Steve Kroon

Forecast aggregation combines the predictions of multiple forecasters to improve accuracy. However, the lack of knowledge about forecasters' information structure hinders optimal aggregation. Given a family of information structures, robust…

Machine Learning · Computer Science 2024-02-01 Yongkang Guo , Jason D. Hartline , Zhihuan Huang , Yuqing Kong , Anant Shah , Fang-Yi Yu

In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

Machine Learning · Computer Science 2012-07-19 Joseph Kahn

A solution to control for nonresponse bias consists of multiplying the design weights of respondents by the inverse of estimated response probabilities to compensate for the nonrespondents. Maximum likelihood and calibration are two…

Methodology · Statistics 2023-10-27 Caren Hasler

Probability forecasts for binary outcomes, often referred to as probabilistic classifiers or confidence scores, are ubiquitous in science and society, and methods for evaluating and comparing them are in great demand. We propose and study a…

Methodology · Statistics 2023-01-27 Timo Dimitriadis , Tilmann Gneiting , Alexander I. Jordan , Peter Vogel

The goal of probabilistic prediction is to issue predictive distributions that are as informative as possible, subject to being calibrated. Despite substantial progress in the univariate setting, achieving multivariate calibration remains…

Machine Learning · Computer Science 2026-02-02 Aya Laajil , Elnura Zhalieva , Naomi Desobry , Souhaib Ben Taieb

Agentic AI systems capable of autonomous planning and extended environmental interaction pose a fundamental control problem: how can humans maintain meaningful oversight of systems that may exceed their own capabilities? Existing approaches…

Artificial Intelligence · Computer Science 2026-05-28 William Overman , Mohsen Bayati

Calibration has been proposed as a way to enhance the reliability and adoption of machine learning classifiers. We study a particular aspect of this proposal: how does calibrating a classification model affect the decisions made by…

Human-Computer Interaction · Computer Science 2025-08-27 Meir Nizri , Amos Azaria , Chirag Gupta , Noam Hazon

In a crowd forecasting system, aggregation is an algorithm that returns aggregated probabilities for each question based on the probabilities provided per question by each individual in the crowd. Various aggregation methods have been…

Applications · Statistics 2022-03-18 Yuzhong Huang , Andres Abeliuk , Fred Morstatter , Pavel Atanasov , Aram Galstyan

Machine learning is increasingly being used to generate prediction models for use in a number of real-world settings, from credit risk assessment to clinical decision support. Recent discussions have highlighted potential problems in the…

Multiaccuracy and multicalibration are multigroup fairness notions for prediction that have found numerous applications in learning and computational complexity. They can be achieved from a single learning primitive: weak agnostic learning.…

Machine Learning · Computer Science 2026-02-18 Sílvia Casacuberta , Parikshit Gopalan , Varun Kanade , Omer Reingold

This paper considers the problem of steering the aggregative behavior of a population of noncooperative price-taking agents towards a desired behavior. Different from conventional pricing schemes where the price is fully available for…

Optimization and Control · Mathematics 2022-01-20 Mehran Shakarami , Ashish Cherukuri , Nima Monshizadeh

Decision makers often need to rely on imperfect probabilistic forecasts. While average performance metrics are typically available, it is difficult to assess the quality of individual forecasts and the corresponding utilities. To convey…

Machine Learning · Statistics 2021-03-03 Shengjia Zhao , Stefano Ermon

Whether a population of decision-making individuals will reach a state of satisfactory decisions is a fundamental problem in studying collective behaviors. In the framework of evolutionary game theory and by means of potential functions,…

Multiagent Systems · Computer Science 2022-01-13 Negar Sakhaei , Zeinab Maleki , Pouria Ramazi

In machine learning, model calibration and predictive inference are essential for producing reliable predictions and quantifying uncertainty to support decision-making. Recognizing the complementary roles of point and interval predictions,…

Machine Learning · Statistics 2024-11-01 Lars van der Laan , Ahmed M. Alaa

Cooperative equilibria are fragile. When agents learn alongside each other rather than in a fixed environment, the process of learning destabilizes the cooperation they are trying to sustain: every gradient step an agent takes shifts the…

Computer Science and Game Theory · Computer Science 2026-04-20 Deep Kumar Ganguly , Chandradithya S Jonnalagadda , Pratham Chintamani , Adithya Ananth

Uncertainty estimates must be calibrated (i.e., accurate) and sharp (i.e., informative) in order to be useful. This has motivated a variety of methods for recalibration, which use held-out data to turn an uncalibrated model into a…

Machine Learning · Computer Science 2022-07-06 Charles Marx , Shengjia Zhao , Willie Neiswanger , Stefano Ermon

Federated learning promises significant sample-efficiency gains by pooling data across multiple agents, yet incentive misalignment is an obstacle: each update is costly to the contributor but boosts every participant. We introduce a…

Computer Science and Game Theory · Computer Science 2026-02-02 Ariel D. Procaccia , Han Shao , Itai Shapira

Calibration is a widely used method in survey sampling to adjust weights so that estimated totals of some chosen calibration variables match known population totals or totals obtained from other sources. When a large number of auxiliary…

Methodology · Statistics 2025-12-11 Caren Hasler , Arnaud Tripet , Yves Tillé
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