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Reliable probabilities are critical in high-risk applications, yet common calibration criteria (confidence, class-wise) are only necessary for full distributional calibration, and post-hoc methods often lack distribution-free guarantees. We…

Machine Learning · Statistics 2025-10-17 Daniil Kazantsev , Mohsen Guizani , Eric Moulines , Maxim Panov , Nikita Kotelevskii

High-dimensional predictive models, those with more measurements than observations, require regularization to be well defined, perform well empirically, and possess theoretical guarantees. The amount of regularization, often determined by…

Methodology · Statistics 2019-07-16 Darren Homrighausen , Daniel J. McDonald

Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information-updating rules. In many applications, however, prior distributions are introduced merely as…

Methodology · Statistics 2026-03-10 Yang Liu , Jonathan P. Williams , Jan Hannig

Deep neural networks (DNN) are prone to miscalibrated predictions, often exhibiting a mismatch between the predicted output and the associated confidence scores. Contemporary model calibration techniques mitigate the problem of…

Machine Learning · Computer Science 2022-12-21 Ramya Hebbalaguppe , Rishabh Patra , Tirtharaj Dash , Gautam Shroff , Lovekesh Vig

Large language models (LLMs) often make accurate next token predictions but their confidence in these predictions can be poorly calibrated: high-confidence predictions are frequently wrong, and low-confidence predictions may be correct.…

Machine Learning · Computer Science 2026-02-03 Nisarg Parikh , Ananya Sai , Pannaga Shivaswamy , Kunjal Panchal , Andrew Lan

Neural Networks have high accuracy in solving problems where it is difficult to detect patterns or create a logical model. However, these algorithms sometimes return wrong solutions, which become problematic in high-risk domains like…

Machine Learning · Computer Science 2025-06-26 Miguel N. Font , José L. Jorro-Aragoneses , Carlos M. Alaíz

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

Data Analysis, Statistics and Probability · Physics 2020-12-09 Jochen Bröcker

Post-training has become central to improving reasoning and alignment in large language models, where critic-free models enable scalable learning from model-generated outputs but lack principled mechanisms to distinguish informative from…

Machine Learning · Computer Science 2026-05-22 Zheyuan Zhang , Kaiwen Shi , Han Bao , Zehong Wang , Tianyi Ma , Yanfang Ye

Assessing uncertainty is an important step towards ensuring the safety and reliability of machine learning systems. Existing uncertainty estimation techniques may fail when their modeling assumptions are not met, e.g. when the data…

Machine Learning · Computer Science 2017-01-24 Volodymyr Kuleshov , Stefano Ermon

While Gaussian processes are a mainstay for various engineering and scientific applications, the uncertainty estimates don't satisfy frequentist guarantees and can be miscalibrated in practice. State-of-the-art approaches for designing…

Machine Learning · Computer Science 2023-11-20 Alexandre Capone , Geoff Pleiss , Sandra Hirche

While test-time scaling has enabled large language models to solve highly difficult tasks, state-of-the-art results come at exorbitant compute costs. These inefficiencies can be attributed to the miscalibration of post-trained language…

Machine Learning · Computer Science 2026-04-02 Cai Zhou , Zekai Wang , Menghua Wu , Qianyu Julie Zhu , Flora C. Shi , Chenyu Wang , Ashia Wilson , Tommi Jaakkola , Stephen Bates

In many applications, accurate class probability estimates are required, but many types of models produce poor quality probability estimates despite achieving acceptable classification accuracy. Even though probability calibration has been…

Machine Learning · Computer Science 2020-02-18 Tim Leathart , Maksymilian Polaczuk

When facing uncertainty, decision-makers want predictions they can trust. A machine learning provider can convey confidence to decision-makers by guaranteeing their predictions are distribution calibrated -- amongst the inputs that receive…

Machine Learning · Statistics 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

It is known that neural networks have the problem of being over-confident when directly using the output label distribution to generate uncertainty measures. Existing methods mainly resolve this issue by retraining the entire model to…

Machine Learning · Computer Science 2022-12-15 Maohao Shen , Yuheng Bu , Prasanna Sattigeri , Soumya Ghosh , Subhro Das , Gregory Wornell

Calibrated probabilistic classifiers are models whose predicted probabilities can directly be interpreted as uncertainty estimates. It has been shown recently that deep neural networks are poorly calibrated and tend to output overconfident…

Machine Learning · Statistics 2022-10-17 Teodora Popordanoska , Raphael Sayer , Matthew B. Blaschko

In computational social science, researchers often use a pre-trained, black box classifier to estimate the frequency of each class in unlabeled datasets. A variety of prevalence estimation techniques have been developed in the literature,…

Social and Information Networks · Computer Science 2024-04-03 Siqi Wu , Paul Resnick

Inverse weighting with an estimated propensity score is widely used by estimation methods in causal inference to adjust for confounding bias. However, directly inverting propensity score estimates can lead to instability, bias, and…

Methodology · Statistics 2025-04-11 Lars van der Laan , Ziming Lin , Marco Carone , Alex Luedtke

Calibration is a popular framework to evaluate whether a classifier knows when it does not know - i.e., its predictive probabilities are a good indication of how likely a prediction is to be correct. Correctness is commonly estimated…

Computation and Language · Computer Science 2022-12-01 Joris Baan , Wilker Aziz , Barbara Plank , Raquel Fernández

Probabilistic classifiers are central for making informed decisions under uncertainty. Based on the maximum expected utility principle, optimal decision rules can be derived using the posterior class probabilities and misclassification…

Machine Learning · Computer Science 2025-03-25 Alexandre Perez-Lebel , Gael Varoquaux , Sanmi Koyejo , Matthieu Doutreligne , Marine Le Morvan

Since neural classifiers are known to be sensitive to adversarial perturbations that alter their accuracy, \textit{certification methods} have been developed to provide provable guarantees on the insensitivity of their predictions to such…

Machine Learning · Computer Science 2025-02-26 Cornelius Emde , Francesco Pinto , Thomas Lukasiewicz , Philip H. S. Torr , Adel Bibi
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