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Morden deep ensembles technique achieves strong uncertainty estimation performance by going through multiple forward passes with different models. This is at the price of a high storage space and a slow speed in the inference (test) time.…

Machine Learning · Computer Science 2024-03-13 Ha Manh Bui , Anqi Liu

We show how to treat systematic uncertainties using Bayesian deep networks for regression. First, we analyze how these networks separately trace statistical and systematic uncertainties on the momenta of boosted top quarks forming fat jets.…

High Energy Physics - Phenomenology · Physics 2020-12-23 Gregor Kasieczka , Michel Luchmann , Florian Otterpohl , Tilman Plehn

Real-world time series data often exhibits substantial missing values, posing challenges for advanced analysis. A common approach to addressing this issue is imputation, where the primary challenge lies in determining the appropriate values…

Machine Learning · Computer Science 2025-12-02 Ying Liu , Peng Cui , Wenbo Hu , Richang Hong

Deep learning has shown its human-level performance in various applications. However, current deep learning models are characterised by catastrophic forgetting of old knowledge when learning new classes. This poses a challenge particularly…

Machine Learning · Computer Science 2022-04-29 Yang Yang , Zhiying Cui , Junjie Xu , Changhong Zhong , Wei-Shi Zheng , Ruixuan Wang

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

Despite impressive state-of-the-art performance on a wide variety of machine learning tasks, deep learning methods can produce over-confident predictions, particularly with limited training data. Therefore, quantifying uncertainty is…

Machine Learning · Computer Science 2022-04-27 Haleh Akrami , Anand Joshi , Sergul Aydore , Richard Leahy

In this work, we demonstrate the Empirical Bayes approach to learning a Dynamic Bayesian Network. By starting with several point estimates of structure and weights, we can use a data-driven prior to subsequently obtain a model to quantify…

Machine Learning · Computer Science 2024-07-02 Vyacheslav Kungurtsev , Apaar , Aarya Khandelwal , Parth Sandeep Rastogi , Bapi Chatterjee , Jakub Mareček

Accurate reconstruction of environmental scalar fields from sparse onboard observations is essential for autonomous vehicles engaged in aquatic monitoring. Beyond point estimates, principled uncertainty quantification is critical for active…

Despite much research targeted at enabling conventional machine learning models to continually learn tasks and data distributions sequentially without forgetting the knowledge acquired, little effort has been devoted to account for more…

Machine Learning · Computer Science 2021-06-11 Sandra Servia-Rodriguez , Cecilia Mascolo , Young D. Kwon

Preferential sampling is a common feature in geostatistics and occurs when the locations to be sampled are chosen based on information about the phenomena under study. In this case, point pattern models are commonly used as the probability…

Methodology · Statistics 2022-10-27 Douglas Mateus da Silva , Dani Gamerman

Predictions made by deep learning models are prone to data perturbations, adversarial attacks, and out-of-distribution inputs. To build a trusted AI system, it is therefore critical to accurately quantify the prediction uncertainties. While…

Machine Learning · Computer Science 2023-04-12 Hanjing Wang , Dhiraj Joshi , Shiqiang Wang , Qiang Ji

This work proposes $\mu$GUIDE: a general Bayesian framework to estimate posterior distributions of tissue microstructure parameters from any given biophysical model or MRI signal representation, with exemplar demonstration in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-05 Maëliss Jallais , Marco Palombo

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

Methodology · Statistics 2026-02-03 Magid Sabbagh , David A. Stephens

We develop a novel deep learning method for uncertainty quantification in stochastic partial differential equations based on Bayesian neural network (BNN) and Hamiltonian Monte Carlo (HMC). A BNN efficiently learns the posterior…

Machine Learning · Statistics 2022-10-24 Jeahan Jung , Minseok Choi

Deep Learning is a consolidated, state-of-the-art Machine Learning tool to fit a function when provided with large data sets of examples. However, in regression tasks, the straightforward application of Deep Learning models provides a point…

Machine Learning · Computer Science 2018-07-25 Axel Brando , Jose A. Rodríguez-Serrano , Mauricio Ciprian , Roberto Maestre , Jordi Vitrià

Quantifying uncertainty about a policy's long-term performance is important to solve sequential decision-making tasks. We study the problem from a model-based Bayesian reinforcement learning perspective, where the goal is to learn the…

Machine Learning · Computer Science 2024-09-04 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

Machine Learning · Computer Science 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

In this work, we propose a novel deep bootstrap framework for nonparametric regression based on conditional diffusion models. Specifically, we construct a conditional diffusion model to learn the distribution of the response variable given…

Machine Learning · Statistics 2026-02-12 Jinyuan Chang , Yuling Jiao , Lican Kang , Junjie Shi

Bayesian neural networks and deep ensembles represent two modern paradigms of uncertainty quantification in deep learning. Yet these approaches struggle to scale mainly due to memory inefficiency issues, since they require parameter storage…

Machine Learning · Statistics 2021-11-24 Hippolyt Ritter , Martin Kukla , Cheng Zhang , Yingzhen Li
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