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Reliable quantification of epistemic and aleatoric uncertainty is of crucial importance in applications where models are trained in one environment but applied to multiple different environments, often seen in real-world applications for…

Machine Learning · Computer Science 2023-11-02 Simon Dirmeier , Ye Hong , Yanan Xin , Fernando Perez-Cruz

Uncertain, or probabilistic, graphs have been increasingly used to represent noisy linked data in many emerging applications, and have recently attracted the attention of the database research community. A fundamental problem on uncertain…

Social and Information Networks · Computer Science 2019-04-11 Xiangyu Ke , Arijit Khan , Leroy Lim Hong Quan

The uncertainty principle states that a signal cannot be localized both in time and frequency. With the aim of extending this result to signals on graphs, Agaskar&Lu introduce notions of graph and spectral spreads. They show that a graph…

Discrete Mathematics · Computer Science 2016-03-16 Bastien Pasdeloup , Réda Alami , Vincent Gripon , Michael Rabbat

As data plays an increasingly pivotal role in decision-making, the emergence of data markets underscores the growing importance of data valuation. Within the machine learning landscape, Data Shapley stands out as a widely embraced method…

Machine Learning · Statistics 2024-07-30 Mengmeng Wu , Zhihong Liu , Xiang Li , Ruoxi Jia , Xiangyu Chang

The distribution of a neural network's latent representations has been successfully used to detect out-of-distribution (OOD) data. This work investigates whether this distribution moreover correlates with a model's epistemic uncertainty,…

Machine Learning · Computer Science 2021-02-24 Janis Postels , Hermann Blum , Yannick Strümpler , Cesar Cadena , Roland Siegwart , Luc Van Gool , Federico Tombari

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…

Machine Learning · Computer Science 2022-10-14 Viktor Bengs , Eyke Hüllermeier , Willem Waegeman

Uncertainty-quantification methods are applied to estimate the confidence of deep-neural-networks classifiers over their predictions. However, most widely used methods are known to be overconfident. We address this problem by developing an…

Machine Learning · Computer Science 2023-05-19 Luigi Sbailò , Luca M. Ghiringhelli

We present an uncertainty principle for graph signals in the vertex-time domain, unifying the classical time-frequency and graph uncertainty principles within a single framework. By defining vertex-time and spectral-frequency spreads, we…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Yanan Zhao , Xingchao Jian , Feng Ji , Wee Peng Tay , Antonio Ortega

Recent advances in Neural Variational Inference allowed for a renaissance in latent variable models in a variety of domains involving high-dimensional data. While traditional variational methods derive an analytical approximation for the…

Machine Learning · Computer Science 2019-08-20 Alexander I. Cowen-Rivers , Pasquale Minervini , Tim Rocktaschel , Matko Bosnjak , Sebastian Riedel , Jun Wang

Probabilistic graphical models are a fundamental tool in probabilistic modeling, machine learning and artificial intelligence. They allow us to integrate in a natural way expert knowledge, physical modeling, heterogeneous and correlated…

Machine Learning · Statistics 2021-07-20 Panagiota Birmpa , Jinchao Feng , Markos A. Katsoulakis , Luc Rey-Bellet

Decomposing predictive uncertainty into epistemic (model ignorance) and aleatoric (data ambiguity) components is central to reliable decision making, yet most methods estimate both from the same predictive distribution. Recent empirical and…

Machine Learning · Computer Science 2026-02-13 Tanmoy Mukherjee , Marius Kloft , Pierre Marquis , Zied Bouraoui

An uncertain graph $\mathcal{G} = (V, E, p : E \rightarrow (0,1])$ can be viewed as a probability space whose outcomes (referred to as \emph{possible worlds}) are subgraphs of $\mathcal{G}$ where any edge $e\in E$ occurs with probability…

Data Structures and Algorithms · Computer Science 2017-10-17 Matteo Ceccarello , Carlo Fantozzi , Andrea Pietracaprina , Geppino Pucci , Fabio Vandin

Using the dynamics of information propagation on a network as our illustrative example, we present and discuss a systematic approach to quantifying heterogeneity and its propagation that borrows established tools from Uncertainty…

Adaptation and Self-Organizing Systems · Physics 2015-11-25 Karthikeyan Rajendran , Andreas C. Tsoumanis , Constantinos I. Siettos , Carlo R. Laing , Ioannis G. Kevrekidis

In this paper some initial work towards a new approach to qualitative reasoning under uncertainty is presented. This method is not only applicable to qualitative probabilistic reasoning, as is the case with other methods, but also allows…

Artificial Intelligence · Computer Science 2013-03-08 Simon Parsons , E. H. Mamdani

We propose a new approach for propagating stable probability distributions through neural networks. Our method is based on local linearization, which we show to be an optimal approximation in terms of total variation distance for the ReLU…

Machine Learning · Computer Science 2024-02-14 Felix Petersen , Aashwin Mishra , Hilde Kuehne , Christian Borgelt , Oliver Deussen , Mikhail Yurochkin

Epistemic uncertainty in neural networks is commonly modeled using two second-order paradigms: distribution-based representations, which rely on posterior parameter distributions, and set-based representations based on credal sets (convex…

Machine Learning · Computer Science 2026-02-27 Kaizheng Wang , Yunjia Wang , Fabio Cuzzolin , David Moens , Hans Hallez , Siu Lun Chau

Graph Neural Networks (GNNs) have been extensively used in various real-world applications. However, the predictive uncertainty of GNNs stemming from diverse sources such as inherent randomness in data and model training errors can lead to…

Machine Learning · Computer Science 2025-03-11 Fangxin Wang , Yuqing Liu , Kay Liu , Yibo Wang , Sourav Medya , Philip S. Yu

When the historical data are limited, the conditional probabilities associated with the nodes of Bayesian networks are uncertain and can be empirically estimated. Second order estimation methods provide a framework for both estimating the…

Machine Learning · Statistics 2022-08-09 Conrad D. Hougen , Lance M. Kaplan , Federico Cerutti , Alfred O. Hero

Probabilistic knowledge graph embeddings represent entities as distributions, using learned variances to quantify epistemic uncertainty. We identify a fundamental limitation: these variances are relation-agnostic, meaning an entity receives…

Machine Learning · Computer Science 2026-01-05 Chorok Lee

Graph Neural Networks (GNNs) excel in diverse tasks, yet their applications in high-stakes domains are often hampered by unreliable predictions. Although numerous uncertainty quantification methods have been proposed to address this…

Machine Learning · Computer Science 2024-07-22 Tianyi Zhao , Jian Kang , Lu Cheng