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Environmental processes resolved at a sufficiently small scale in space and time will inevitably display non-stationary behavior. Such processes are both challenging to model and computationally expensive when the data size is large.…

应用统计 · 统计学 2020-08-21 Amanda Lenzi , Stefano Castruccio , Haavard Rue , Marc G. Genton

Measuring the structural parameters (size, total brightness, light concentration, etc.) of galaxies is a significant first step towards a quantitative description of different galaxy populations. In this work, we demonstrate that a Bayesian…

天体物理仪器与方法 · 物理学 2022-07-08 Dimitrios Tanoglidis , Aleksandra Ćiprijanović , Alex Drlica-Wagner

End-to-end trained neural networks (NNs) are a compelling approach to autonomous vehicle control because of their ability to learn complex tasks without manual engineering of rule-based decisions. However, challenging road conditions,…

人工智能 · 计算机科学 2021-11-24 Alexander Amini , Ava Soleimany , Sertac Karaman , Daniela Rus

The growth of the population of space debris in the geostationary ring and the resulting threat to active satellites require insight into the dynamics of uncontrolled objects in the region. A Monte Carlo simulation analyzed the sensitivity…

地球与行星天体物理 · 物理学 2023-09-21 Roberto Flores , Mauro Pontani , Elena Fantino

Bayesian optimization has proven to be a highly effective methodology for the global optimization of unknown, expensive and multimodal functions. The ability to accurately model distributions over functions is critical to the effectiveness…

机器学习 · 统计学 2014-06-13 Jasper Snoek , Kevin Swersky , Richard S. Zemel , Ryan P. Adams

Multi-fidelity models are becoming more prevalent in engineering, particularly in aerospace, as they combine both the computational efficiency of low-fidelity models with the high accuracy of higher-fidelity simulations. Various…

计算工程、金融与科学 · 计算机科学 2024-07-09 Andrea Vaiuso , Gabriele Immordino , Marcello Righi , Andrea Da Ronch

Bayesian neural networks (BNNs) have been long considered an ideal, yet unscalable solution for improving the robustness and the predictive uncertainty of deep neural networks. While they could capture more accurately the posterior…

计算机视觉与模式识别 · 计算机科学 2021-03-26 Gianni Franchi , Andrei Bursuc , Emanuel Aldea , Severine Dubuisson , Isabelle Bloch

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

机器学习 · 计算机科学 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

Bayesian inference was once a gold standard for learning with neural networks, providing accurate full predictive distributions and well calibrated uncertainty. However, scaling Bayesian inference techniques to deep neural networks is…

This paper reviews recent developments in statistical structure learning; namely, Bayesian model reduction. Bayesian model reduction is a method for rapidly computing the evidence and parameters of probabilistic models that differ only in…

统计方法学 · 统计学 2019-10-15 Karl Friston , Thomas Parr , Peter Zeidman

Modern deep learning methods constitute incredibly powerful tools to tackle a myriad of challenging problems. However, since deep learning methods operate as black boxes, the uncertainty associated with their predictions is often…

机器学习 · 计算机科学 2022-06-06 Laurent Valentin Jospin , Wray Buntine , Farid Boussaid , Hamid Laga , Mohammed Bennamoun

Exoplanet observations are currently analysed with Bayesian retrieval techniques. Due to the computational load of the models used, a compromise is needed between model complexity and computing time. Analysis of data from future facilities,…

地球与行星天体物理 · 物理学 2022-06-29 Francisco Ardevol Martinez , Michiel Min , Inga Kamp , Paul I. Palmer

We demonstrate that final-state uncertainty is ubiquitous in multistable systems of coupled neuronal maps, meaning that predicting whether one such system will eventually be chaotic or nonchaotic is often nearly impossible. We propose a…

神经元与认知 · 定量生物学 2025-07-22 Brandon B. Le , Bennett Lamb , Luke Benfer , Sriharsha Sambangi , Nisal Geemal Vismith , Akshaj Jagarapu

In recent years, neural networks have revolutionized various domains, yet challenges such as hyperparameter tuning and overfitting remain significant hurdles. Bayesian neural networks offer a framework to address these challenges by…

机器学习 · 计算机科学 2025-12-16 Hayk Amirkhanian , Marco F. Huber

Uncertainty estimation for unlabeled data is crucial to active learning. With a deep neural network employed as the backbone model, the data selection process is highly challenging due to the potential over-confidence of the model…

机器学习 · 计算机科学 2024-02-14 Xingjian Li , Pengkun Yang , Yangcheng Gu , Xueying Zhan , Tianyang Wang , Min Xu , Chengzhong Xu

Methods for reasoning under uncertainty are a key building block of accurate and reliable machine learning systems. Bayesian methods provide a general framework to quantify uncertainty. However, because of model misspecification and the use…

机器学习 · 计算机科学 2018-07-03 Volodymyr Kuleshov , Nathan Fenner , Stefano Ermon

A comprehensive artificial intelligence system needs to not only perceive the environment with different `senses' (e.g., seeing and hearing) but also infer the world's conditional (or even causal) relations and corresponding uncertainty.…

机器学习 · 统计学 2021-01-07 Hao Wang , Dit-Yan Yeung

Bayesian Networks (BN) provide robust probabilistic methods of reasoning under uncertainty, but despite their formal grounds are strictly based on the notion of conditional dependence, not much attention has been paid so far to their use in…

人工智能 · 计算机科学 2013-01-30 Luigi Portinale , Andrea Bobbio

Bayesian neural networks (BNNs) have developed into useful tools for probabilistic modelling due to recent advances in variational inference enabling large scale BNNs. However, BNNs remain brittle and hard to train, especially: (1) when…

机器学习 · 计算机科学 2019-10-24 Felix McGregor , Arnu Pretorius , Johan du Preez , Steve Kroon

Deep learning techniques have been shown to be extremely effective for various classification and regression problems, but quantifying the uncertainty of their predictions and separating them into the epistemic and aleatoric fractions is…

信号处理 · 电气工程与系统科学 2019-10-15 Augustin Prado , Ravinath Kausik , Lalitha Venkataramanan