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Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

Analysis of PDEs · Mathematics 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

Deep learning has revolutionized modern data science. However, how to accurately quantify the uncertainty of predictions from large-scale deep neural networks (DNNs) remains an unresolved issue. To address this issue, we introduce a novel…

Machine Learning · Statistics 2025-08-05 Yan Sun , Faming Liang

Uncertainty in machine learning refers to the degree of confidence or lack thereof in a model's predictions. While uncertainty quantification methods exist, explanations of uncertainty, especially in high-dimensional settings, remain an…

Machine Learning · Computer Science 2025-07-30 Isaac Roberts , Alexander Schulz , Sarah Schroeder , Fabian Hinder , Barbara Hammer

Recent advances in deep learning have shown that uncertainty estimation is becoming increasingly important in applications such as medical imaging, natural language processing, and autonomous systems. However, accurately quantifying…

Machine Learning · Computer Science 2023-07-04 Uddeshya Upadhyay , Jae Myung Kim , Cordelia Schmidt , Bernhard Schölkopf , Zeynep Akata

In this paper, we introduce a new technique that combines two popular methods to estimate uncertainty in object detection. Quantifying uncertainty is critical in real-world robotic applications. Traditional detection models can be ambiguous…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Zongyao Lyu , Nolan B. Gutierrez , William J. Beksi

We study the understanding of deep neural networks from the scope in which they are trained on. While the accuracy of these models is usually impressive on the aggregate level, they still make mistakes, sometimes on cases that appear to be…

Machine Learning · Computer Science 2023-12-12 Roozbeh Yousefzadeh

Deep Neural Networks (DNNs), with its promising performance, are being increasingly used in safety critical applications such as autonomous driving, cancer detection, and secure authentication. With growing importance in deep learning,…

Machine Learning · Computer Science 2019-11-19 Senthil Mani , Anush Sankaran , Srikanth Tamilselvam , Akshay Sethi

In seismic exploration, first break (FB) picking is a crucial aspect in the determination of subsurface velocity models, significantly influencing the placement of wells. Many deep neural networks (DNNs)-based automatic picking methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Hongtao Wang , Jiangshe Zhang , Xiaoli Wei , Li Long , Chunxia Zhang

Being uncertain when facing the unknown is key to intelligent decision making. However, machine learning algorithms lack reliable estimates about their predictive uncertainty. This leads to wrong and overly-confident decisions when…

Machine Learning · Computer Science 2021-07-14 Mohamed Ishmael Belghazi , David Lopez-Paz

Deep neural networks (NNs) are known to lack uncertainty estimates and struggle to incorporate new data. We present a method that mitigates these issues by converting NNs from weight space to function space, via a dual parameterization.…

Machine Learning · Statistics 2023-09-06 Aidan Scannell , Riccardo Mereu , Paul Chang , Ella Tamir , Joni Pajarinen , Arno Solin

Model uncertainty quantification involves measuring and evaluating the uncertainty linked to a model's predictions, helping assess their reliability and confidence. Noise injection is a technique used to enhance the robustness of neural…

Machine Learning · Statistics 2025-04-25 Xueqiong Yuan , Jipeng Li , Ercan Engin Kuruoglu

Effective uncertainty estimation is becoming increasingly attractive for enhancing the reliability of neural networks. This work presents a novel approach, termed Credal-Set Interval Neural Networks (CreINNs), for classification. CreINNs…

Machine Learning · Computer Science 2025-01-28 Kaizheng Wang , Keivan Shariatmadar , Shireen Kudukkil Manchingal , Fabio Cuzzolin , David Moens , Hans Hallez

Deep Neural Networks (DNNs), despite their tremendous success in recent years, could still cast doubts on their predictions due to the intrinsic uncertainty associated with their learning process. Ensemble techniques and post-hoc…

Machine Learning · Computer Science 2022-03-03 Chunwei Ma , Ziyun Huang , Jiayi Xian , Mingchen Gao , Jinhui Xu

Uncertainty plays a crucial role in the machine learning field. Both model trustworthiness and performance require the understanding of uncertainty, especially for models used in high-stake applications where errors can cause cataclysmic…

Machine Learning · Computer Science 2022-11-29 Shuo Chen

With model trustworthiness being crucial for sensitive real-world applications, practitioners are putting more and more focus on improving the uncertainty calibration of deep neural networks. Calibration errors are designed to quantify the…

Machine Learning · Computer Science 2024-03-14 Sebastian G. Gruber , Florian Buettner

The uncertainty quantification of prediction models (e.g., neural networks) is crucial for their adoption in many robotics applications. This is arguably as important as making accurate predictions, especially for safety-critical…

Robotics · Computer Science 2024-04-09 Junan Chen , Josephine Monica , Wei-Lun Chao , Mark Campbell

Uncertainty quantification for complex deep learning models is increasingly important as these techniques see growing use in high-stakes, real-world settings. Currently, the quality of a model's uncertainty is evaluated using…

Machine Learning · Computer Science 2021-12-15 Benjamin Kompa , Jasper Snoek , Andrew Beam

For Deep Neural Networks (DNNs) to become useful in safety-critical applications, such as self-driving cars and disease diagnosis, they must be stable to perturbations in input and model parameters. Characterizing the sensitivity of a DNN…

Machine Learning · Computer Science 2023-07-25 Naman Maheshwari , Nicholas Malaya , Scott Moe , Jaydeep P. Kulkarni , Sudhanva Gurumurthi

Objective: Convolutional neural networks (CNNs) have demonstrated promise in automated cardiac magnetic resonance image segmentation. However, when using CNNs in a large real-world dataset, it is important to quantify segmentation…

Image and Video Processing · Electrical Eng. & Systems 2023-01-02 Matthew Ng , Fumin Guo , Labonny Biswas , Steffen E. Petersen , Stefan K. Piechnik , Stefan Neubauer , Graham Wright

A key challenge for deploying deep neural networks (DNNs) in safety critical settings is the need to provide rigorous ways to quantify their uncertainty. In this paper, we propose a novel algorithm for constructing predicted classification…

Machine Learning · Computer Science 2021-03-19 Sangdon Park , Shuo Li , Insup Lee , Osbert Bastani
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