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Deep neural networks has been increasingly applied in fault diagnostics, where it uses historical data to capture systems behavior, bypassing the need for high-fidelity physical models. However, despite their competence in prediction tasks,…

Machine Learning · Computer Science 2025-09-24 Arman Mohammadi , Mattias Krysander , Daniel Jung , Erik Frisk

Machine learning models have exhibited exceptional results in various domains. The most prevalent approach for learning is the empirical risk minimizer (ERM), which adapts the model's weights to reduce the loss on a training set and…

Machine Learning · Computer Science 2024-12-11 Koby Bibas

Extracting meaning from uncertain, noisy data is a fundamental problem across time series analysis, pattern recognition, and language modeling. This survey presents a unified mathematical framework that connects classical estimation theory,…

Machine Learning · Computer Science 2025-08-22 Mohammed Elmusrati

Numerous kinds of uncertainties may affect an economy, e.g. economic, political, and environmental ones. We model the aggregate impact by the uncertainties on an economy and its associated financial market by randomised mixtures of L\'evy…

General Finance · Quantitative Finance 2011-12-12 Andrea Macrina , Priyanka A. Parbhoo

Uncertainty quantification is at the core of the reliability and robustness of machine learning. In this paper, we provide a theoretical framework to dissect the uncertainty, especially the \textit{epistemic} component, in deep learning…

Machine Learning · Computer Science 2023-06-21 Ziyi Huang , Henry Lam , Haofeng Zhang

Fair machine learning (ML) methods help identify and mitigate the risk that algorithms encode or automate social injustices. Algorithmic approaches alone cannot resolve structural inequalities, but they can support socio-technical decision…

Machine Learning · Computer Science 2026-04-24 Michelle Seng Ah Lee , Kirtan Padh , David Watson , Niki Kilbertus , Jatinder Singh

In this work we propose a statistical approach to handling sources of theoretical uncertainty in string theory models of inflation. By viewing a model of inflation as a probabilistic graph, we show that there is an inevitable information…

High Energy Physics - Theory · Physics 2019-06-05 Mafalda Dias , Jonathan Frazer , Alexander Westphal

The mainstream media has much leeway in what it chooses to cover and how it covers it. These choices have real-world consequences on what people know and their subsequent behaviors. However, the lack of objective measures to evaluate…

Computation and Language · Computer Science 2024-10-21 Alexandria Leto , Elliot Pickens , Coen D. Needell , David Rothschild , Maria Leonor Pacheco

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…

Machine Learning · Computer Science 2023-04-14 Marco Forgione , Dario Piga

This work proposes an evidence-retrieval mechanism for uncertainty-aware decision-making that replaces a single global cutoff with an evidence-conditioned, instance-adaptive criterion. For each test instance, proximal exemplars are…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Hassan Gharoun , Mohammad Sadegh Khorshidi , Kasra Ranjbarigderi , Fang Chen , Amir H. Gandomi

Off-policy learning, referring to the procedure of policy optimization with access only to logged feedback data, has shown importance in various real-world applications, such as search engines, recommender systems, and etc. While the…

Machine Learning · Computer Science 2023-09-28 Xiaoying Zhang , Junpu Chen , Hongning Wang , Hong Xie , Yang Liu , John C. S. Lui , Hang Li

We develop a systematic information-theoretic framework for quantification and mitigation of error in probabilistic Lagrangian (i.e., path-based) predictions which are obtained from dynamical systems generated by uncertain (Eulerian) vector…

Probability · Mathematics 2022-01-03 Michal Branicki , Kenneth Uda

An important factor to guarantee a fair use of data-driven recommendation systems is that we should be able to communicate their uncertainty to decision makers. This can be accomplished by constructing prediction intervals, which provide an…

Methodology · Statistics 2019-08-16 Yaniv Romano , Rina Foygel Barber , Chiara Sabatti , Emmanuel J. Candès

When sample data are governed by an unknown sequence of independent but possibly non-identical distributions, the data-generating process (DGP) in general cannot be perfectly identified from the data. For making decisions facing such…

Theoretical Economics · Economics 2022-05-11 Xiaoyu Cheng

This paper provides robust, new evidence on the causal drivers of market troughs. We demonstrate that conclusions about these triggers are critically sensitive to model specification, moving beyond restrictive linear models with a flexible…

Statistical Finance · Quantitative Finance 2025-09-09 Peilin Rao , Randall R. Rojas

Detecting opportunities and threats from massive text data is a challenging task for most. Traditionally, companies would rely mainly on structured data to detect and predict risks, losing a huge amount of information that could be…

Computation and Language · Computer Science 2022-11-24 Hasna Najmi , Mounia Mikram , Maryem Rhanoui , Siham Yousfi

While market is a social field where information flows over the interacting agents, there have been not so many methods to observe the spreading information in the prices comprising the market. By incorporating the entropy transfer in…

Statistical Finance · Quantitative Finance 2015-10-19 Hokky Situngkir

We present a critical survey on the consistency of uncertainty quantification used in deep learning and highlight partial uncertainty coverage and many inconsistencies. We then provide a comprehensive and statistically consistent framework…

Machine Learning · Computer Science 2026-01-14 Peter Jan van Leeuwen , J. Christine Chiu , C. Kevin Yang

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

Machine Learning · Computer Science 2020-11-23 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Y. Berger-Wolf

Uncertainty quantification (UQ) in scientific machine learning is increasingly critical as neural networks are widely adopted to tackle complex problems across diverse scientific disciplines. For physics-informed neural networks (PINNs), a…

Machine Learning · Statistics 2025-10-20 Frank Shih , Zhenghao Jiang , Faming Liang
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