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We present a Bayesian machine learning architecture that combines a physically motivated parametrization and an analytic error model for the likelihood with a deep generative model providing a powerful data-driven prior for complex signals.…

Instrumentation and Methods for Astrophysics · Physics 2019-12-10 Francois Lanusse , Peter Melchior , Fred Moolekamp

The significant advancements in applying Artificial Intelligence (AI) to healthcare decision-making, medical diagnosis, and other domains have simultaneously raised concerns about the fairness and bias of AI systems. This is particularly…

Computers and Society · Computer Science 2024-01-30 Emilio Ferrara

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

In recent years, the rapid development of artificial intelligence (AI) systems has raised concerns about our ability to ensure their fairness, that is, how to avoid discrimination based on protected characteristics such as gender, race, or…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Iris Dominguez-Catena , Daniel Paternain , Mikel Galar , MaryBeth Defrance , Maarten Buyl , Tijl De Bie

Recently, several methods have leveraged deep generative modeling to produce example-based explanations of image classifiers. Despite producing visually stunning results, these methods are largely disconnected from classical explainability…

Machine Learning · Computer Science 2025-09-11 Philipp Vaeth , Alexander M. Fruehwald , Benjamin Paassen , Magda Gregorova

Data-driven operations management often relies on parameters estimated from costly human-generated labels. Recent advances in large language models (LLMs) and other AI systems offer inexpensive auxiliary data, but introduce a new challenge:…

Machine Learning · Computer Science 2026-04-17 Cheng Lu , Mengxin Wang , Dennis J. Zhang , Heng Zhang

AI and data-driven models have large potential for data assimilation applications by creating fast and accurate forecasts. Their tendency to produce spurious inaccurate, nonphysical results -- hallucination -- however, raises a serious…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Andrey A. Popov

While fiducial inference was widely considered a big blunder by R.A. Fisher, the goal he initially set --`inferring the uncertainty of model parameters on the basis of observations' -- has been continually pursued by many statisticians. To…

Machine Learning · Statistics 2024-08-01 Faming Liang , Sehwan Kim , Yan Sun

In mathematical finance, Levy processes are widely used for their ability to model both continuous variation and abrupt, discontinuous jumps. These jumps are practically relevant, so reliable inference on the feature that controls jump…

Statistics Theory · Mathematics 2021-09-21 Zhe Wang , Ryan Martin

The design dataset is the backbone of data-driven design. Ideally, the dataset should be fairly distributed in both shape and property spaces to efficiently explore the underlying relationship. However, the classical experimental design…

Computational Engineering, Finance, and Science · Computer Science 2023-09-13 Jiarui Xie , Chonghui Zhang , Lijun Sun , Yaoyao Zhao

Uncertainty quantification is crucial to decision-making. A prominent example is probabilistic forecasting in numerical weather prediction. The dominant approach to representing uncertainty in weather forecasting is to generate an ensemble…

Machine Learning · Computer Science 2023-10-10 Lizao Li , Rob Carver , Ignacio Lopez-Gomez , Fei Sha , John Anderson

We propose a new method for conducting Bayesian prediction that delivers accurate predictions without correctly specifying the unknown true data generating process. A prior is defined over a class of plausible predictive models. After…

Methodology · Statistics 2020-08-24 Ruben Loaiza-Maya , Gael M. Martin , David T. Frazier

We present Active Learning for Accelerated Bayesian Inference (\texttt{alabi}): an open-source Python package for performing Bayesian inference with computationally expensive models. Given a forward model and observational data to construct…

Instrumentation and Methods for Astrophysics · Physics 2026-03-20 Jessica Birky , Rory K. Barnes

Graph Neural Networks (GNN) provide a powerful framework that elegantly integrates Graph theory with Machine learning for modeling and analysis of networked data. We consider the problem of quantifying the uncertainty in predictions of GNN…

Machine Learning · Computer Science 2022-05-23 Sai Munikoti , Deepesh Agarwal , Laya Das , Balasubramaniam Natarajan

Modern data analysis increasingly requires flexible conditional inference P(X_B | X_A) where (X_A, X_B) is an arbitrary partition of observed variable X. Existing approaches are either restricted to a fixed conditioning structure or depend…

Machine Learning · Statistics 2026-03-11 Qiao Liu , Wing Hung Wong

Recently, combinations of generative and Bayesian machine learning have been introduced in particle physics for both fast detector simulation and inference tasks. These neural networks aim to quantify the uncertainty on the generated…

Machine Learning · Computer Science 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs

Across domains, metrics and measurements are fundamental to identifying challenges, informing decisions, and resolving conflicts. Despite the abundance of data available in this information age, not only can it be challenging for a single…

Software Engineering · Computer Science 2024-10-02 Ti-Chung Cheng , Carmen Badea , Christian Bird , Thomas Zimmermann , Robert DeLine , Nicole Forsgren , Denae Ford

Obtaining high certainty in predictive models is crucial for making informed and trustworthy decisions in many scientific and engineering domains. However, extensive experimentation required for model accuracy can be both costly and…

Machine Learning · Computer Science 2024-12-17 Giorgio Morales , John Sheppard

Current methods for learning graphical models with latent variables and a fixed structure estimate optimal values for the model parameters. Whereas this approach usually produces overfitting and suboptimal generalization performance,…

Machine Learning · Computer Science 2013-01-30 Hagai Attias

Bayesian inference is used extensively to infer and to quantify the uncertainty in a field of interest from a measurement of a related field when the two are linked by a physical model. Despite its many applications, Bayesian inference…

Machine Learning · Statistics 2019-07-24 Dhruv Patel , Assad A Oberai
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