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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…

Recent advances in deep learning have led to a paradigm shift in the field of reversible steganography. A fundamental pillar of reversible steganography is predictive modelling which can be realised via deep neural networks. However,…

机器学习 · 计算机科学 2023-03-08 Ching-Chun Chang

Classical numerical methods for solving partial differential equations suffer from the curse dimensionality mainly due to their reliance on meticulously generated spatio-temporal grids. Inspired by modern deep learning based techniques for…

机器学习 · 统计学 2018-04-20 Maziar Raissi

Uncertainty quantification is an important task in machine learning - a task in which standardneural networks (NNs) have traditionally not excelled. This can be a limitation for safety-critical applications, where uncertainty-aware methods…

机器学习 · 计算机科学 2024-01-05 Felix Fiedler , Sergio Lucia

A statistical learning approach for parametric PDEs related to Uncertainty Quantification is derived. The method is based on the minimization of an empirical risk on a selected model class and it is shown to be applicable to a broad range…

数值分析 · 数学 2020-01-07 Martin Eigel , Reinhold Schneider , Philipp Trunschke , Sebastian Wolf

Deep neural network (DNN) models have achieved state-of-the-art predictive accuracy in a wide range of supervised learning applications. However, accurately quantifying the uncertainty in DNN predictions remains a challenging task. For…

机器学习 · 计算机科学 2022-06-14 Daiwei Zhang , Tianci Liu , Jian Kang

Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

机器学习 · 计算机科学 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

Bayesian methods hold significant promise for improving the uncertainty quantification ability and robustness of deep neural network models. Recent research has seen the investigation of a number of approximate Bayesian inference methods…

机器学习 · 计算机科学 2022-02-09 Meet P. Vadera , Adam D. Cobb , Brian Jalaian , Benjamin M. Marlin

Neural networks (NN) have become almost ubiquitous with image classification, but in their standard form produce point estimates, with no measure of confidence. Bayesian neural networks (BNN) provide uncertainty quantification (UQ) for NN…

图像与视频处理 · 电气工程与系统科学 2023-08-15 Daniel Ries , Jason Adams , Joshua Zollweg

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

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

Understanding and quantifying uncertainty in black box Neural Networks (NNs) is critical when deployed in real-world settings such as healthcare. Recent works using Bayesian and non-Bayesian methods have shown how a unified predictive…

机器学习 · 计算机科学 2020-09-29 Utkarsh Sarawgi , Wazeer Zulfikar , Rishab Khincha , Pattie Maes

Deep learning has been shown to be highly effective for automatic modulation classification (AMC), which is a pivotal technology for next-generation cognitive communications. Yet, existing deep learning methods for AMC often lack robust…

信号处理 · 电气工程与系统科学 2025-12-03 Huian Yang , Rajeev Sahay

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…

机器学习 · 统计学 2021-11-24 Hippolyt Ritter , Martin Kukla , Cheng Zhang , Yingzhen Li

Recently, Neural Ordinary Differential Equations has emerged as a powerful framework for modeling physical simulations without explicitly defining the ODEs governing the system, but instead learning them via machine learning. However, the…

We propose the first Bayesian encoder for metric learning. Rather than relying on neural amortization as done in prior works, we learn a distribution over the network weights with the Laplace Approximation. We actualize this by first…

机器学习 · 计算机科学 2023-02-07 Frederik Warburg , Marco Miani , Silas Brack , Soren Hauberg

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

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

统计方法学 · 统计学 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

应用统计 · 统计学 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

Mathematical solvers use parametrized Optimization Problems (OPs) as inputs to yield optimal decisions. In many real-world settings, some of these parameters are unknown or uncertain. Recent research focuses on predicting the value of these…

机器学习 · 计算机科学 2024-09-10 Alan A. Lahoud , Erik Schaffernicht , Johannes A. Stork