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Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

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…

Machine Learning · Computer Science 2020-09-29 Utkarsh Sarawgi , Wazeer Zulfikar , Rishab Khincha , Pattie Maes

Marginalising out uncertain quantities within the internal representations or parameters of neural networks is of central importance for a wide range of learning techniques, such as empirical, variational or full Bayesian methods. We set…

Machine Learning · Statistics 2015-07-21 Justin Bayer , Maximilian Karl , Daniela Korhammer , Patrick van der Smagt

Evidential deep learning (EDL) has shown remarkable success in uncertainty estimation. However, there is still room for improvement, particularly in out-of-distribution (OOD) detection and classification tasks. The limited OOD detection…

Machine Learning · Computer Science 2025-10-15 Taeseong Yoon , Heeyoung Kim

Assisted by the availability of data and high performance computing, deep learning techniques have achieved breakthroughs and surpassed human performance empirically in difficult tasks, including object recognition, speech recognition, and…

Machine Learning · Computer Science 2019-01-23 Shaeke Salman , Xiuwen Liu

Popular approaches for quantifying predictive uncertainty in deep neural networks often involve distributions over weights or multiple models, for instance via Markov Chain sampling, ensembling, or Monte Carlo dropout. These techniques…

Machine Learning · Computer Science 2023-03-08 Dennis Ulmer , Christian Hardmeier , Jes Frellsen

Uncertainty quantification methods are required in autonomous systems that include deep learning (DL) components to assess the confidence of their estimations. However, to successfully deploy DL components in safety-critical autonomous…

Robotics · Computer Science 2021-11-02 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

We present a principled approach for detecting out-of-distribution (OOD) and adversarial samples in deep neural networks. Our approach consists in modeling the outputs of the various layers (deep features) with parametric probability…

Machine Learning · Statistics 2019-09-27 Nilesh A. Ahuja , Ibrahima Ndiour , Trushant Kalyanpur , Omesh Tickoo

Predictions made by deep learning models are prone to data perturbations, adversarial attacks, and out-of-distribution inputs. To build a trusted AI system, it is therefore critical to accurately quantify the prediction uncertainties. While…

Machine Learning · Computer Science 2023-04-12 Hanjing Wang , Dhiraj Joshi , Shiqiang Wang , Qiang Ji

Deep Neural Networks for classification behave unpredictably when confronted with inputs not stemming from the training distribution. This motivates out-of-distribution detection (OOD) mechanisms. The usual lack of prior information on…

Machine Learning · Computer Science 2022-03-02 Konstantin Kirchheim , Tim Gonschorek , Frank Ortmeier

This paper proposes a paradigm of uncertainty injection for training deep learning model to solve robust optimization problems. The majority of existing studies on deep learning focus on the model learning capability, while assuming the…

Machine Learning · Computer Science 2023-02-28 Wei Cui , Wei Yu

Deep neural networks for image classification only learn to map in-distribution inputs to their corresponding ground truth labels in training without differentiating out-of-distribution samples from in-distribution ones. This results from…

Machine Learning · Computer Science 2023-08-29 Zhilin Zhao , Longbing Cao , Kun-Yu Lin

Adoption of deep learning in safety-critical systems raise the need for understanding what deep neural networks do not understand after models have been deployed. The behaviour of deep neural networks is undefined for so called…

Machine Learning · Computer Science 2021-08-25 Rickard Sjögren , Johan Trygg

Applying machine learning to increasingly high-dimensional problems with sparse or biased training data increases the risk that a model is used on inputs outside its training domain. For such out-of-distribution (OOD) inputs, the model can…

Machine Learning · Computer Science 2025-03-10 Juniper Tyree , Andreas Rupp , Petri S. Clusius , Michael H. Boy

Detecting out-of-distribution (OOD) instances is crucial for the reliable deployment of machine learning models in real-world scenarios. OOD inputs are commonly expected to cause a more uncertain prediction in the primary task; however,…

Machine Learning · Computer Science 2024-05-22 Mohammad Azizmalayeri , Ameen Abu-Hanna , Giovanni Cinà

This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach,…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Peihu Duan , Qishao Wang , Zhisheng Duan , Guanrong Chen

Uncertainty quantification is a critical yet unsolved challenge for deep learning, especially for the time series imputation with irregularly sampled measurements. To tackle this problem, we propose a novel framework based on the principles…

Machine Learning · Computer Science 2023-06-05 Shweta Dahale , Sai Munikoti , Balasubramaniam Natarajan

The ability of a deep learning network to distinguish between in-distribution (ID) and out-of-distribution (OOD) inputs is crucial for ensuring the reliability and trustworthiness of AI systems. Existing OOD detection methods often involve…

Machine Learning · Computer Science 2024-12-25 Gagandeep Singh , Ishan Mishra , Deepak Mishra

It is desirable to have accurate uncertainty estimation from a single deterministic forward-pass model, as traditional methods for uncertainty quantification are computationally expensive. However, this is difficult because single…

Machine Learning · Computer Science 2023-08-22 Frederik Boe Hüttel , Filipe Rodrigues , Francisco Câmara Pereira

In this paper, we approach the problem of uncertainty quantification in deep learning through a predictive framework, which captures uncertainty in model parameters by specifying our assumptions about the predictive distribution of unseen…

Machine Learning · Statistics 2024-03-20 Luhuan Wu , Sinead Williamson