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Deep unrolling is an emerging deep learning-based image reconstruction methodology that bridges the gap between model-based and purely deep learning-based image reconstruction methods. Although deep unrolling methods achieve…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Canberk Ekmekci , Mujdat Cetin

Deep neural networks have emerged as the workhorse for a large section of robotics and control applications, especially as models for dynamical systems. Such data-driven models are in turn used for designing and verifying autonomous…

Machine Learning · Computer Science 2023-11-08 Kaustubh Sridhar , Souradeep Dutta , James Weimer , Insup Lee

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.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Deep neural networks have outperformed existing machine learning models in various molecular applications. In practical applications, it is still difficult to make confident decisions because of the uncertainty in predictions arisen from…

Machine Learning · Computer Science 2019-03-21 Seongok Ryu , Yongchan Kwon , Woo Youn Kim

The trustworthiness of neural networks is often challenged because they lack the ability to express uncertainty and explain their skill. This can be problematic given the increasing use of neural networks in high stakes decision-making such…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Mariana C. A. Clare , Maike Sonnewald , Redouane Lguensat , Julie Deshayes , Venkatramani Balaji

Deep Neural Networks (DNNs) have achieved state-of-the-art accuracy performance in many tasks. However, recent works have pointed out that the outputs provided by these models are not well-calibrated, seriously limiting their use in…

Machine Learning · Computer Science 2020-07-16 Juan Maroñas , Roberto Paredes , Daniel Ramos

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…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Emerging deep-learning (DL)-based techniques have significant potential to revolutionize biomedical imaging. However, one outstanding challenge is the lack of reliability assessment in the DL predictions, whose errors are commonly revealed…

Image and Video Processing · Electrical Eng. & Systems 2019-05-07 Yujia Xue , Shiyi Cheng , Yunzhe Li , Lei Tian

This paper addresses the need for deep learning models to integrate well-defined constraints into their outputs, driven by their application in surrogate models, learning with limited data and partial information, and scenarios requiring…

Machine Learning · Statistics 2024-07-02 Rahul Rathnakumar , Jiayu Huang , Hao Yan , Yongming Liu

Discrete diffusion models generate sequences by iteratively denoising samples corrupted by categorical noise, offering an appealing alternative to autoregressive decoding for structured and symbolic generation. However, standard training…

Machine Learning · Computer Science 2026-02-04 Huu Binh Ta , Michael Cardei , Alvaro Velasquez , Ferdinando Fioretto

We propose a novel framework for uncertainty quantification via information bottleneck (IB-UQ) for scientific machine learning tasks, including deep neural network (DNN) regression and neural operator learning (DeepONet). Specifically, we…

Numerical Analysis · Mathematics 2023-05-31 Ling Guo , Hao Wu , Wenwen Zhou , Yan Wang , Tao Zhou

In context-specific applications such as robotics, telecommunications, and healthcare, artificial intelligence systems often face the challenge of limited training data. This scarcity introduces epistemic uncertainty, i.e., reducible…

Information Theory · Computer Science 2026-03-17 Osvaldo Simeone , Yaniv Romano

Deep learning motivated by convolutional neural networks has been highly successful in a range of medical imaging problems like image classification, image segmentation, image synthesis etc. However for validation and interpretability, not…

Image and Video Processing · Electrical Eng. & Systems 2024-08-19 Abhinav Sagar

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

Machine Learning · Statistics 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

In the last decade, damage detection approaches swiftly changed from advanced signal processing methods to machine learning and especially deep learning models, to accurately and non-intrusively estimate the state of the beam structures.…

Machine Learning · Computer Science 2023-06-06 Darian Onchis , Gilbert-Rainer Gillich , Eduard Hogea , Cristian Tufisi

We present a Bayesian Neural Radiance Field (NeRF), which explicitly quantifies uncertainty in the volume density by modeling uncertainty in the occupancy, without the need for additional networks, making it particularly suited for…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sibeak Lee , Kyeongsu Kang , Seongbo Ha , Hyeonwoo Yu

Real-world data contains aleatoric uncertainty - irreducible noise arising from imperfect measurements or from incomplete knowledge about the data generation process. Mean-variance estimation networks can learn this type of uncertainty but…

Machine Learning · Computer Science 2026-05-29 Jiaxiang Yi , Miguel A. Bessa

In safety-critical systems that interface with the real world, the role of uncertainty in decision-making is pivotal, particularly in the context of machine learning models. For the secure functioning of Cyber-Physical Systems (CPS), it is…

Machine Learning · Computer Science 2024-04-29 Neha Kumari , Sumit Kumar. Sneha Priya , Ayush Kumar , Akash Fogla

We present a deep learning framework for quantifying and propagating uncertainty in systems governed by non-linear differential equations using physics-informed neural networks. Specifically, we employ latent variable models to construct…

Machine Learning · Statistics 2019-06-26 Yibo Yang , Paris Perdikaris

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…

Machine Learning · Computer Science 2019-04-25 Yonatan Geifman , Guy Uziel , Ran El-Yaniv
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