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Calibration of predicted probabilities is critical for reliable machine learning, yet it is poorly understood how standard training procedures yield well-calibrated models. This work provides the first theoretical proof that canonical…

Machine Learning · Computer Science 2025-10-16 Masahiro Fujisawa , Futoshi Futami

Estimating the prevalence of a category in a population using imperfect measurement devices (diagnostic tests, classifiers, or large language models) is fundamental to science, public health, and online trust and safety. Standard approaches…

Artificial Intelligence · Computer Science 2026-04-24 Fridolin Linder , Thomas Leeper , Daniel Haimovich , Niek Tax , Lorenzo Perini , Milan Vojnovic

Multimodal machine learning has achieved remarkable progress in a wide range of scenarios. However, the reliability of multimodal learning remains largely unexplored. In this paper, through extensive empirical studies, we identify current…

Machine Learning · Computer Science 2023-06-05 Huan Ma. Qingyang Zhang , Changqing Zhang , Bingzhe Wu , Huazhu Fu , Joey Tianyi Zhou , Qinghua Hu

Reliable Confidence Estimates are hugely important for any machine learning model to be truly useful. In this paper, we argue that any confidence estimates based upon standard machine learning point prediction algorithms are fundamentally…

Machine Learning · Computer Science 2021-09-06 Rhys Green , Matthew Rowe , Alberto Polleri

Simulation-Based Inference (SBI) offers a principled and flexible framework for conducting Bayesian inference in any situation where forward simulations are feasible. However, validating the accuracy and reliability of the inferred…

Instrumentation and Methods for Astrophysics · Physics 2026-01-21 James Alvey , Carlo R. Contaldi , Mauro Pieroni

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

To facilitate robust and trustworthy deployment of large language models (LLMs), it is essential to quantify the reliability of their generations through uncertainty estimation. While recent efforts have made significant advancements by…

Computation and Language · Computer Science 2025-07-22 Rui Li , Jing Long , Muge Qi , Heming Xia , Lei Sha , Peiyi Wang , Zhifang Sui

Pre-trained language models (PLMs) serve as backbones for various real-world systems. For high-stake applications, it's equally essential to have reasonable confidence estimations in predictions. While the vanilla confidence scores of PLMs…

Computation and Language · Computer Science 2023-07-24 Yangyi Chen , Xingyao Wang , Heng Ji

Rankings are central to decision-making in fields ranging from education to online platforms, yet classical deterministic methods such as the Borda count method or Copeland-type pairwise methods ignore uncertainty due to sampling noise or…

Methodology · Statistics 2026-05-20 Shunpu Zhang

Influence estimation methods promise to explain and debug machine learning by estimating the impact of individual samples on the final model. Yet, existing methods collapse under training randomness: the same example may appear critical in…

Machine Learning · Computer Science 2026-04-06 Subhodip Panda , Dhruv Tarsadiya , Shashwat Sourav , Prathosh A. P , Sai Praneeth Karimireddy

Modern machine learning methods including deep learning have achieved great success in predictive accuracy for supervised learning tasks, but may still fall short in giving useful estimates of their predictive {\em uncertainty}. Quantifying…

For an AI system to be reliable, the confidence it expresses in its decisions must match its accuracy. To assess the degree of match, examples are typically binned by confidence and the per-bin mean confidence and accuracy are compared.…

Machine Learning · Computer Science 2022-02-14 Rebecca Roelofs , Nicholas Cain , Jonathon Shlens , Michael C. Mozer

Text classifiers built on Pre-trained Language Models (PLMs) have achieved remarkable progress in various tasks including sentiment analysis, natural language inference, and question-answering. However, the occurrence of uncertain…

Computation and Language · Computer Science 2023-06-07 Jiazheng Li , Zhaoyue Sun , Bin Liang , Lin Gui , Yulan He

During the past few decades, cognitive diagnostics modeling has attracted increasing attention in computational education communities, which is capable of quantifying the learning status and knowledge mastery levels of students. Indeed, the…

Computers and Society · Computer Science 2024-01-22 Yunfei Zhang , Chuan Qin , Dazhong Shen , Haiping Ma , Le Zhang , Xingyi Zhang , Hengshu Zhu

In-Context Learning (ICL) is suffering from unsatisfactory performance and under-calibration due to high prior bias and unfaithful confidence. Some previous works fine-tuned language models for better ICL performance with enormous datasets…

Computation and Language · Computer Science 2024-02-16 Yufeng Zhao , Yoshihiro Sakai , Naoya Inoue

Multimodal classifiers function as opaque black box models. While several techniques exist to interpret their predictions, very few of them are as intuitive and accessible as natural language explanations (NLEs). To build trust, such…

Computation and Language · Computer Science 2025-12-09 Dibyanayan Bandyopadhyay , Soham Bhattacharjee , Mohammed Hasanuzzaman , Asif Ekbal

In typical machine learning systems, an estimate of the probability of the prediction is used to assess the system's confidence in the prediction. This confidence measure is usually uncalibrated; i.e.\ the system's confidence in the…

Computation and Language · Computer Science 2022-05-24 Shehzaad Dhuliawala , Leonard Adolphs , Rajarshi Das , Mrinmaya Sachan

Generating confidence calibrated outputs is of utmost importance for the applications of deep neural networks in safety-critical decision-making systems. The output of a neural network is a probability distribution where the scores are…

Machine Learning · Computer Science 2021-09-17 Chihuang Liu , Joseph JaJa

Classifiers are often tested on relatively small data sets, which should lead to uncertain performance metrics. Nevertheless, these metrics are usually taken at face value. We present an approach to quantify the uncertainty of…

Machine Learning · Statistics 2021-03-05 Niklas Tötsch , Daniel Hoffmann

Handling missing data is a central challenge in data-driven analysis. Modern imputation methods not only aim for accurate reconstruction but also differ in how they represent and quantify uncertainty. Yet, the reliability and calibration of…

Databases · Computer Science 2025-11-27 Zarin Tahia Hossain , Mostafa Milani
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