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Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

Calibration$\unicode{x2014}$the problem of ensuring that predicted probabilities align with observed class frequencies$\unicode{x2014}$is a basic desideratum for reliable prediction with machine learning systems. Calibration error is…

机器学习 · 统计学 2026-03-02 Eugène Berta , Sacha Braun , David Holzmüller , Francis Bach , Michael I. Jordan

From the statistical learning perspective, complexity control via explicit regularization is a necessity for improving the generalization of over-parameterized models. However, the impressive generalization performance of neural networks…

机器学习 · 计算机科学 2021-02-09 Taejong Joo , Uijung Chung

Classification models based on deep neural networks (DNNs) must be calibrated to measure the reliability of predictions. Some recent calibration methods have employed a probabilistic model on the probability simplex. However, these…

机器学习 · 计算机科学 2025-03-19 Yasushi Esaki , Akihiro Nakamura , Keisuke Kawano , Ryoko Tokuhisa , Takuro Kutsuna

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Many applications of classification methods not only require high accuracy but also reliable estimation of predictive uncertainty. However, while many current classification frameworks, in particular deep neural networks, achieve high…

机器学习 · 计算机科学 2020-02-28 Jonathan Wenger , Hedvig Kjellström , Rudolph Triebel

Precise estimation of predictive uncertainty in deep neural networks is a critical requirement for reliable decision-making in machine learning and statistical modeling, particularly in the context of medical AI. Conformal Prediction (CP)…

机器学习 · 计算机科学 2024-01-05 Hamed Karimi , Reza Samavi

Quantifying uncertainty in a model's predictions is important as it enables the safety of an AI system to be increased by acting on the model's output in an informed manner. This is crucial for applications where the cost of an error is…

计算机视觉与模式识别 · 计算机科学 2021-05-31 Aria Khoshsirat

Accurate estimation of predictive uncertainty in modern neural networks is critical to achieve well calibrated predictions and detect out-of-distribution (OOD) inputs. The most promising approaches have been predominantly focused on…

机器学习 · 计算机科学 2020-07-13 Shreyas Padhy , Zachary Nado , Jie Ren , Jeremiah Liu , Jasper Snoek , Balaji Lakshminarayanan

Uncertainty quantification has received increasing attention in machine learning in the recent past. In particular, a distinction between aleatoric and epistemic uncertainty has been found useful in this regard. The latter refers to the…

机器学习 · 计算机科学 2022-10-14 Viktor Bengs , Eyke Hüllermeier , Willem Waegeman

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…

机器学习 · 统计学 2019-11-01 Jayaraman J. Thiagarajan , Bindya Venkatesh , Deepta Rajan

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

We address the problem of uncertainty calibration. While standard deep neural networks typically yield uncalibrated predictions, calibrated confidence scores that are representative of the true likelihood of a prediction can be achieved…

机器学习 · 计算机科学 2021-06-24 Christian Tomani , Sebastian Gruber , Muhammed Ebrar Erdem , Daniel Cremers , Florian Buettner

In this work, we aim at augmenting the decisions output by quantum models with "error bars" that provide finite-sample coverage guarantees. Quantum models implement implicit probabilistic predictors that produce multiple random decisions…

量子物理 · 物理学 2023-10-24 Sangwoo Park , Osvaldo Simeone

We evaluate two different methods for the integration of prediction uncertainty into diagnostic image classifiers to increase patient safety in deep learning. In the first method, Monte Carlo sampling is applied with dropout at test time to…

图像与视频处理 · 电气工程与系统科学 2019-08-05 Max-Heinrich Laves , Sontje Ihler , Tobias Ortmaier

In supervised learning, understanding an input's proximity to the training data can help a model decide whether it has sufficient evidence for reaching a reliable prediction. While powerful probabilistic models such as Gaussian Processes…

机器学习 · 计算机科学 2024-06-19 Ifigeneia Apostolopoulou , Benjamin Eysenbach , Frank Nielsen , Artur Dubrawski

Effective quantification of uncertainty is an essential and still missing step towards a greater adoption of deep-learning approaches in different applications, including mission-critical ones. In particular, investigations on the…

机器学习 · 计算机科学 2023-04-14 Marco Forgione , Dario Piga

Deep Learning methods are known to suffer from calibration issues: they typically produce over-confident estimates. These problems are exacerbated in the low data regime. Although the calibration of probabilistic models is well studied,…

机器学习 · 统计学 2021-11-30 Rahul Rahaman , Alexandre H. Thiery

Uncertainty quantification for deep learning is a challenging open problem. Bayesian statistics offer a mathematically grounded framework to reason about uncertainties; however, approximate posteriors for modern neural networks still…

机器学习 · 统计学 2020-01-23 Nicolas Brosse , Carlos Riquelme , Alice Martin , Sylvain Gelly , Éric Moulines

Uncertainty quantification in deep learning is crucial for safe and reliable decision-making in downstream tasks. Existing methods quantify uncertainty at the last layer or other approximations of the network which may miss some sources of…

机器学习 · 统计学 2025-04-25 James McInerney , Nathan Kallus