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A set of probabilistic predictions is well calibrated if the events that are predicted to occur with probability p do in fact occur about p fraction of the time. Well calibrated predictions are particularly important when machine learning…

Machine Learning · Statistics 2014-01-14 Mahdi Pakdaman Naeini , Gregory F. Cooper , Milos Hauskrecht

In this paper we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems with decision-dependent distributions has assumed…

Optimization and Control · Mathematics 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

Peer prediction mechanisms are often adopted to elicit truthful contributions from crowd workers when no ground-truth verification is available. Recently, mechanisms of this type have been developed to incentivize effort exertion, in…

Computer Science and Game Theory · Computer Science 2016-12-05 Yang Liu , Yiling Chen

Generating calibrated and sharp neural network predictive distributions for regression problems is essential for optimal decision-making in many real-world applications. To address the miscalibration issue of neural networks, various…

Machine Learning · Computer Science 2024-03-19 Victor Dheur , Souhaib Ben Taieb

Probabilistic forecasting relies on past observations to provide a probability distribution for a future outcome, which is often evaluated against the realization using a scoring rule. Here, we perform probabilistic forecasting with…

Machine Learning · Statistics 2024-03-06 Lorenzo Pacchiardi , Rilwan Adewoyin , Peter Dueben , Ritabrata Dutta

Calibration error is commonly adopted for evaluating the quality of uncertainty estimators in deep neural networks. In this paper, we argue that such a metric is highly beneficial for training predictive models, even when we do not…

Machine Learning · Statistics 2019-11-01 Jayaraman J. Thiagarajan , Bindya Venkatesh , Deepta Rajan

The field of algorithms with predictions incorporates machine learning advice in the design of online algorithms to improve real-world performance. A central consideration is the extent to which predictions can be trusted -- while existing…

Machine Learning · Statistics 2026-03-26 Judy Hanwen Shen , Ellen Vitercik , Anders Wikum

We introduce and study the problem of calibrating conditional risk, which involves estimating the expected loss of a prediction model conditional on input features. We analyze this problem in both classification and regression settings and…

Machine Learning · Computer Science 2026-04-23 Andrey Vasilyev , Yikai Wang , Xiaocheng Li , Guanting Chen

Individual choices are either based on personal experience or on information provided by peers. The latter case, causes individuals to conform to the majority in their neighborhood. Such herding behavior may be very efficient in aggregating…

Physics and Society · Physics 2009-11-11 Philippe Curty , Matteo Marsili

The problem of combining individual forecasters to produce a forecaster with improved performance is considered. The connections between probability elicitation and classification are used to pose the combining forecaster problem as that of…

Methodology · Statistics 2017-07-11 Hamed Masnadi-Shirazi

Probabilistic forecasts are typically obtained using state-of-the-art statistical and machine learning models, with model parameters estimated by optimizing a proper scoring rule over a set of training data. If the model class is not…

Applications · Statistics 2026-05-05 Jakob Benjamin Wessel , Maybritt Schillinger , Frank Kwasniok , Sam Allen

A decision-maker faces uncertainty governed by a data-generating process (DGP), which is only known to belong to a set of sequences of independent but possibly non-identical distributions. A robust decision maximizes the expected payoff…

Theoretical Economics · Economics 2026-02-12 Xiaoyu Cheng

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

Methodology · Statistics 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon

This study presents a rigorous mathematical approach to the optimization of round and betting policies in Blackjack, using Markov Decision Processes (MDP) and Expected Utility Theory. The analysis considers a direct confrontation between a…

Optimization and Control · Mathematics 2025-05-05 Lucas Bordeu , Javier Castro

Accurate uncertainty estimates are important in sequential model-based decision-making tasks such as Bayesian optimization. However, these estimates can be imperfect if the data violates assumptions made by the model (e.g., Gaussianity).…

Machine Learning · Computer Science 2024-06-27 Shachi Deshpande , Charles Marx , Volodymyr Kuleshov

Many real-world optimization problems involve uncertain parameters with probability distributions that can be estimated using contextual feature information. In contrast to the standard approach of first estimating the distribution of…

Machine Learning · Statistics 2023-08-03 Meng Qi , Paul Grigas , Zuo-Jun Max Shen

In this paper, we present results on improving out-of-domain weather prediction and uncertainty estimation as part of the \texttt{Shifts Challenge on Robustness and Uncertainty under Real-World Distributional Shift} challenge. We find that…

Machine Learning · Computer Science 2024-01-10 Sankalp Gilda , Neel Bhandari , Wendy Mak , Andrea Panizza

Strategyproof mechanisms provide robust equilibrium with minimal assumptions about knowledge and rationality but can be unachievable in combination with other desirable properties such as budget-balance, stability against deviations by…

Computer Science and Game Theory · Computer Science 2012-05-14 Benjamin Lubin , David C. Parkes

Rationalization, a data-centric framework, aims to build self-explanatory models to explain the prediction outcome by generating a subset of human-intelligible pieces of the input data. It involves a cooperative game model where a generator…

Artificial Intelligence · Computer Science 2025-10-16 Yunxiao Zhao , Zhiqiang Wang , Xingtong Yu , Xiaoli Li , Jiye Liang , Ru Li

Winner-take-all competitions in forecasting and machine-learning suffer from distorted incentives. Witkowski et al. 2018 identified this problem and proposed ELF, a truthful mechanism to select a winner. We show that, from a pool of $n$…

Machine Learning · Computer Science 2021-06-14 Rafael Frongillo , Robert Gomez , Anish Thilagar , Bo Waggoner