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Deep ensembles can be considered as the current state-of-the-art for uncertainty quantification in deep learning. While the approach was originally proposed as a non-Bayesian technique, arguments supporting its Bayesian footing have been…

机器学习 · 计算机科学 2021-11-19 Lara Hoffmann , Clemens Elster

In this paper, we present a novel approach to accelerate the Bayesian inference process, focusing specifically on the nested sampling algorithms. Bayesian inference plays a crucial role in cosmological parameter estimation, providing a…

天体物理仪器与方法 · 物理学 2024-10-17 Isidro Gómez-Vargas , J. Alberto Vázquez

Despite deep-learning being state-of-the-art for data-driven model predictions, it has not yet found frequent application in ecology. Given the low sample size typical in many environmental research fields, the default choice for the…

Deep Learning models are vulnerable to adversarial examples, i.e.\ images obtained via deliberate imperceptible perturbations, such that the model misclassifies them with high confidence. However, class confidence by itself is an incomplete…

机器学习 · 统计学 2017-11-23 Ambrish Rawat , Martin Wistuba , Maria-Irina Nicolae

Controlling the environmental parameters, including light in greenhouses, increases the crop yield; however, the electricity cost of supplemental lighting can be high. Therefore, the importance of applying cost-effective lighting methods…

系统与控制 · 电气工程与系统科学 2022-05-10 Shirin Afzali , Yajie Bao , Marc W. van Iersel , Javad Mohammadpour Velni

The combination of Monte Carlo tree search and neural networks has revolutionized online planning. As neural network approximations are often imperfect, we ask whether uncertainty estimates about the network outputs could be used to improve…

人工智能 · 计算机科学 2024-06-05 Nir Greshler , David Ben Eli , Carmel Rabinovitz , Gabi Guetta , Liran Gispan , Guy Zohar , Aviv Tamar

The continuous dynamics of natural systems has been effectively modelled using Neural Ordinary Differential Equations (Neural ODEs). However, for accurate and meaningful predictions, it is crucial that the models follow the underlying rules…

机器学习 · 计算机科学 2024-03-06 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Deep learning tools have gained tremendous attention in applied machine learning. However such tools for regression and classification do not capture model uncertainty. In comparison, Bayesian models offer a mathematically grounded…

机器学习 · 统计学 2016-10-05 Yarin Gal , Zoubin Ghahramani

Continuous-time Bayesian Networks (CTBNs) represent a compact yet powerful framework for understanding multivariate time-series data. Given complete data, parameters and structure can be estimated efficiently in closed-form. However, if…

机器学习 · 统计学 2019-11-04 Dominik Linzner , Michael Schmidt , Heinz Koeppl

There is a growing demand for accurate high-resolution land cover maps in many fields, e.g., in land-use planning and biodiversity conservation. Developing such maps has been performed using Object-Based Image Analysis (OBIA) methods, which…

计算机视觉与模式识别 · 计算机科学 2017-06-06 Emilio Guirado , Siham Tabik , Domingo Alcaraz-Segura , Javier Cabello , Francisco Herrera

Despite over three hundred years of effort, no solutions exist for predicting when a general planetary configuration will become unstable. We introduce a deep learning architecture to push forward this problem for compact systems. While…

地球与行星天体物理 · 物理学 2021-10-20 Miles Cranmer , Daniel Tamayo , Hanno Rein , Peter Battaglia , Samuel Hadden , Philip J. Armitage , Shirley Ho , David N. Spergel

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

机器学习 · 计算机科学 2019-04-03 Konstantin Posch , Jürgen Pilz

Neural operators are a type of deep architecture that learns to solve (i.e. learns the nonlinear solution operator of) partial differential equations (PDEs). The current state of the art for these models does not provide explicit…

机器学习 · 计算机科学 2022-08-03 Emilia Magnani , Nicholas Krämer , Runa Eschenhagen , Lorenzo Rosasco , Philipp Hennig

Determining the aqueous solubility of molecules is a vital step in many pharmaceutical, environmental, and energy storage applications. Despite efforts made over decades, there are still challenges associated with developing a solubility…

材料科学 · 物理学 2022-09-05 Gihan Panapitiya , Michael Girard , Aaron Hollas , Vijay Murugesan , Wei Wang , Emily Saldanha

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…

机器学习 · 计算机科学 2024-11-21 Sebastian Bieringer , Sascha Diefenbacher , Gregor Kasieczka , Mathias Trabs

The task of quantifying the inherent uncertainty associated with neural network predictions is a key challenge in artificial intelligence. Bayesian neural networks (BNNs) and deep ensembles are among the most prominent approaches to tackle…

机器学习 · 计算机科学 2025-05-23 Valentin Villecroze , Yixin Wang , Gabriel Loaiza-Ganem

Inferring parameters of macro-kinetic growth models, typically represented by Ordinary Differential Equations (ODE), from the experimental data is a crucial step in bioprocess engineering. Conventionally, estimates of the parameters are…

机器学习 · 计算机科学 2023-12-07 Maxim Borisyak , Stefan Born , Peter Neubauer , Mariano Nicolas Cruz-Bournazou

One of the core facets of Bayesianism is in the updating of prior beliefs in light of new evidence$\text{ -- }$so how can we maintain a Bayesian approach if we have no prior beliefs in the first place? This is one of the central challenges…

机器学习 · 统计学 2026-02-10 Tommy Rochussen , Vincent Fortuin

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

机器学习 · 计算机科学 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

Joint distributions over many variables are frequently modeled by decomposing them into products of simpler, lower-dimensional conditional distributions, such as in sparsely connected Bayesian networks. However, automatically learning such…

机器学习 · 计算机科学 2013-01-07 Scott Davies , Andrew Moore