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Bayesian neural networks with latent variables are scalable and flexible probabilistic models: They account for uncertainty in the estimation of the network weights and, by making use of latent variables, can capture complex noise patterns…

We evaluate the effectiveness of deep learning (DL) models for reconstructing the masses of galaxy clusters using X-ray photometry data from next-generation surveys. We establish these constraints using a catalogue of realistic mock eROSITA…

宇宙学与河外天体物理 · 物理学 2023-07-27 Matthew Ho , John Soltis , Arya Farahi , Daisuke Nagai , August Evrard , Michelle Ntampaka

This paper presents a probabilistic framework to obtain both reliable and fast uncertainty estimates for predictions with Deep Neural Networks (DNNs). Our main contribution is a practical and principled combination of DNNs with sparse…

机器人学 · 计算机科学 2021-09-22 Jongseok Lee , Jianxiang Feng , Matthias Humt , Marcus G. Müller , Rudolph Triebel

Galaxy clusters are important cosmological probes that have helped to establish the $\mathrm{\Lambda}$CDM paradigm as the standard model of cosmology. However, recent tensions between different types of high-accuracy data highlight the need…

宇宙学与河外天体物理 · 物理学 2025-11-04 Nikolaos Triantafyllou , Giorgos Korkidis , Vasiliki Pavlidou , Paolo Bonfini

We consider the problem of uncertainty estimation in the context of (non-Bayesian) deep neural classification. In this context, all known methods are based on extracting uncertainty signals from a trained network optimized to solve the…

机器学习 · 计算机科学 2019-04-25 Yonatan Geifman , Guy Uziel , Ran El-Yaniv

Bayesian Neural Networks (BNNs) often result uncalibrated after training, usually tending towards overconfidence. Devising effective calibration methods with low impact in terms of computational complexity is thus of central interest. In…

机器学习 · 计算机科学 2020-08-18 Hector J. Hortua , Luigi Malago , Riccardo Volpi

This article is the second in a series in which we perform an extensive comparison of various galaxy-based cluster mass estimation techniques that utilise the positions, velocities and colours of galaxies. Our aim is to quantify the…

Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

统计计算 · 统计学 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn

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

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

机器学习 · 统计学 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

We provide simple schemes to build Bayesian Neural Networks (BNNs), block by block, inspired by a recent idea of computation skeletons. We show how by adjusting the types of blocks that are used within the computation skeleton, we can…

机器学习 · 统计学 2018-06-12 Hao Henry Zhou , Yunyang Xiong , Vikas Singh

The posterior over Bayesian neural network (BNN) parameters is extremely high-dimensional and non-convex. For computational reasons, researchers approximate this posterior using inexpensive mini-batch methods such as mean-field variational…

机器学习 · 计算机科学 2021-04-30 Pavel Izmailov , Sharad Vikram , Matthew D. Hoffman , Andrew Gordon Wilson

Uncertainty quantification in inverse medical imaging tasks with deep learning has received little attention. However, deep models trained on large data sets tend to hallucinate and create artifacts in the reconstructed output that are not…

图像与视频处理 · 电气工程与系统科学 2020-08-21 Max-Heinrich Laves , Malte Tölle , Tobias Ortmaier

We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images. Our framework addresses two common challenges of Bayesian reconstructions: 1) It makes use of complex,…

机器学习 · 统计学 2019-10-24 Vanessa Böhm , François Lanusse , Uroš Seljak

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

机器学习 · 统计学 2023-05-02 Aliaksandr Hubin , Geir Storvik

Deep Convolutional Neural Networks (CNN) provides an "end-to-end" solution for image pattern recognition with impressive performance in many areas of application including medical imaging. Most CNN models of high performance use…

图像与视频处理 · 电气工程与系统科学 2020-05-29 Mohammed Ahmed , Hongbo Du , Alaa AlZoubi

Quantifying uncertainty in a model's predictions is important as it enables the safety of an AI system to be increased by acting on the model's output in an informed manner. This is crucial for applications where the cost of an error is…

计算机视觉与模式识别 · 计算机科学 2021-05-31 Aria Khoshsirat

Bayesian neural networks (BNN) and deep ensembles are principled approaches to estimate the predictive uncertainty of a deep learning model. However their practicality in real-time, industrial-scale applications are limited due to their…

机器学习 · 计算机科学 2020-10-27 Jeremiah Zhe Liu , Zi Lin , Shreyas Padhy , Dustin Tran , Tania Bedrax-Weiss , Balaji Lakshminarayanan

Convolutional neural networks (CNNs) are the state-of-the-art technique for identifying strong gravitational lenses. Although they are highly successful in recovering genuine lens systems with a high true-positive rate, the unbalanced…

Uncertainty quantification for deep learning is a challenging open problem. Bayesian statistics offer a mathematically grounded framework to reason about uncertainties; however, approximate posteriors for modern neural networks still…

机器学习 · 统计学 2020-01-23 Nicolas Brosse , Carlos Riquelme , Alice Martin , Sylvain Gelly , Éric Moulines