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Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

数值分析 · 数学 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

In recent years, the field of machine learning has made phenomenal progress in the pursuit of simulating real-world data generation processes. One notable example of such success is the variational autoencoder (VAE). In this work, with a…

机器学习 · 统计学 2021-12-30 Hwan Goh , Sheroze Sheriffdeen , Jonathan Wittmer , Tan Bui-Thanh

There has been an increasing interest in utilizing machine learning methods in inverse problems and imaging. Most of the work has, however, concentrated on image reconstruction problems, and the number of studies regarding the full solution…

计算物理 · 物理学 2024-10-10 Teemu Sahlström , Tanja Tarvainen

A probability distribution allows practitioners to uncover hidden structure in the data and build models to solve supervised learning problems using limited data. The focus of this report is on Variational autoencoders, a method to learn…

机器学习 · 计算机科学 2022-06-22 Vasanth Kalingeri

Learned image reconstruction techniques using deep neural networks have recently gained popularity, and have delivered promising empirical results. However, most approaches focus on one single recovery for each observation, and thus neglect…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Chen Zhang , Riccardo Barbano , Bangti Jin

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Variational Autoencoders (VAEs) are expressive latent variable models that can be used to learn complex probability distributions from training data. However, the quality of the resulting model crucially relies on the expressiveness of the…

机器学习 · 计算机科学 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

机器学习 · 计算机科学 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Deep neural networks are highly susceptible to learning biases in visual data. While various methods have been proposed to mitigate such bias, the majority require explicit knowledge of the biases present in the training data in order to…

计算机视觉与模式识别 · 计算机科学 2024-06-05 Rebecca S Stone , Nishant Ravikumar , Andrew J Bulpitt , David C Hogg

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

机器学习 · 计算机科学 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

A Bayesian treatment of deep learning allows for the computation of uncertainties associated with the predictions of deep neural networks. We show how the concept of Errors-in-Variables can be used in Bayesian deep regression to also…

机器学习 · 计算机科学 2023-05-15 Jörg Martin , Clemens Elster

Established methods for unsupervised representation learning such as variational autoencoders produce none or poorly calibrated uncertainty estimates making it difficult to evaluate if learned representations are stable and reliable. In…

机器学习 · 计算机科学 2022-08-24 Marco Miani , Frederik Warburg , Pablo Moreno-Muñoz , Nicke Skafte Detlefsen , Søren Hauberg

In this work, we describe a new data-driven approach for inverse problems that exploits technologies from machine learning, in particular autoencoder network structures. We consider a paired autoencoder framework, where two autoencoders are…

机器学习 · 计算机科学 2025-01-27 Emma Hart , Julianne Chung , Matthias Chung

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

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

机器学习 · 计算机科学 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

Feedforward neural networks are widely used as universal predictive models to fit data distribution. Common gradient-based learning, however, suffers from many drawbacks making the training process ineffective and time-consuming.…

机器学习 · 计算机科学 2021-07-06 Grzegorz Dudek

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

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

We consider the problem of learning Variational Autoencoders (VAEs), i.e., a type of deep generative model, from data with missing values. Such data is omnipresent in real-world applications of machine learning because complete data is…

机器学习 · 计算机科学 2023-10-26 Timur Sudak , Sebastian Tschiatschek

Despite numerous studies of deep autoencoders (AEs) for unsupervised anomaly detection, AEs still lack a way to express uncertainty in their predictions, crucial for ensuring safe and trustworthy machine learning systems in high-stake…

机器学习 · 计算机科学 2022-02-28 Bang Xiang Yong , Alexandra Brintrup
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