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There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

计算机视觉与模式识别 · 计算机科学 2017-10-06 Alex Kendall , Yarin Gal

Evidence-based deep learning represents a burgeoning paradigm for uncertainty estimation, offering reliable predictions with negligible extra computational overheads. Existing methods usually adopt Kullback-Leibler divergence to estimate…

计算机视觉与模式识别 · 计算机科学 2025-04-18 Yan Zhang , Ming Li , Chun Li , Zhaoxia Liu , Ye Zhang , Fei Richard Yu

Safety assurance is uncompromisable for safety-critical environments with the presence of drastic model uncertainties (e.g., distributional shift), especially with humans in the loop. However, incorporating uncertainty in safe learning will…

机器学习 · 计算机科学 2023-10-05 Alaa Eddine Chriat , Chuangchuang Sun

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

机器学习 · 计算机科学 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

We address the challenge of sequential data-driven decision-making under context distributional uncertainty. This problem arises in numerous real-world scenarios where the learner optimizes black-box objective functions in the presence of…

机器学习 · 计算机科学 2025-03-27 Francesco Micheli , Efe C. Balta , Anastasios Tsiamis , John Lygeros

Numerous deep learning applications benefit from multi-task learning with multiple regression and classification objectives. In this paper we make the observation that the performance of such systems is strongly dependent on the relative…

计算机视觉与模式识别 · 计算机科学 2018-04-25 Alex Kendall , Yarin Gal , Roberto Cipolla

We introduce a distributionally robust maximum likelihood estimation model with a Wasserstein ambiguity set to infer the inverse covariance matrix of a $p$-dimensional Gaussian random vector from $n$ independent samples. The proposed model…

最优化与控制 · 数学 2018-05-21 Viet Anh Nguyen , Daniel Kuhn , Peyman Mohajerin Esfahani

Uncertainty estimation is essential to make neural networks trustworthy in real-world applications. Extensive research efforts have been made to quantify and reduce predictive uncertainty. However, most existing works are designed for…

机器学习 · 计算机科学 2022-10-07 Myong Chol Jung , He Zhao , Joanna Dipnall , Belinda Gabbe , Lan Du

We study the problem of multiclass classification for settings where data features $\mathbf{x}$ and their labels $\mathbf{y}$ are uncertain. We identify that distributionally robust one-vs-all (OVA) classifiers often struggle in settings…

机器学习 · 计算机科学 2024-09-16 Michael Ibrahim , Heraldo Rozas , Nagi Gebraeel

Remote sensing imagery offers rich spectral data across extensive areas for Earth observation. Many attempts have been made to leverage these data with transfer learning to develop scalable alternatives for estimating socio-economic…

计算机视觉与模式识别 · 计算机科学 2024-11-22 Fan Yang , Sahoko Ishida , Mengyan Zhang , Daniel Jenson , Swapnil Mishra , Jhonathan Navott , Seth Flaxman

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

机器学习 · 计算机科学 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

Logistic regression models are widely used in the social and behavioral sciences and in high-stakes domains, due to their simplicity and interpretability properties. At the same time, such domains are permeated by distribution shifts, where…

机器学习 · 计算机科学 2025-03-18 Qingshi Sun , Nathan Justin , Andres Gomez , Phebe Vayanos

One of the ways to make artificial intelligence more natural is to give it some room for doubt. Two main questions should be resolved in that way. First, how to train a model to estimate uncertainties of its own predictions? And then, what…

计算机视觉与模式识别 · 计算机科学 2024-04-17 Alexey Kornaev , Elena Kornaeva , Oleg Ivanov , Ilya Pershin , Danis Alukaev

Capturing aleatoric uncertainty is a critical part of many machine learning systems. In deep learning, a common approach to this end is to train a neural network to estimate the parameters of a heteroscedastic Gaussian distribution by…

机器学习 · 计算机科学 2022-04-04 Maximilian Seitzer , Arash Tavakoli , Dimitrije Antic , Georg Martius

The increasingly common use of neural network classifiers in industrial and social applications of image analysis has allowed impressive progress these last years. Such methods are however sensitive to algorithmic bias, i.e. to an under- or…

机器学习 · 统计学 2021-11-15 Laurent Risser , Alberto Gonzalez Sanz , Quentin Vincenot , Jean-Michel Loubes

This paper proposes a distributionally robust approach to logistic regression. We use the Wasserstein distance to construct a ball in the space of probability distributions centered at the uniform distribution on the training samples. If…

最优化与控制 · 数学 2015-12-02 Soroosh Shafieezadeh-Abadeh , Peyman Mohajerin Esfahani , Daniel Kuhn

We consider a general online stochastic optimization problem with multiple budget constraints over a horizon of finite time periods. In each time period, a reward function and multiple cost functions are revealed, and the decision maker…

机器学习 · 计算机科学 2022-07-26 Jiashuo Jiang , Xiaocheng Li , Jiawei Zhang

This paper is focused on the statistical analysis of data consisting of a collection of multiple series of probability measures that are indexed by distinct time instants and supported over a bounded interval of the real line. By modeling…

机器学习 · 统计学 2026-05-05 Yiye Jiang , Jérémie Bigot

This study addresses a class of linear mixed-integer programming (MILP) problems that involve uncertainty in the objective function parameters. The parameters are assumed to form a random vector, whose probability distribution can only be…

最优化与控制 · 数学 2024-03-07 Sergey S. Ketkov

We propose a distributionally robust logistic regression model with an unfairness penalty that prevents discrimination with respect to sensitive attributes such as gender or ethnicity. This model is equivalent to a tractable convex…

机器学习 · 计算机科学 2020-07-21 Bahar Taskesen , Viet Anh Nguyen , Daniel Kuhn , Jose Blanchet