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Vector Quantization (VQ) is a well-known technique in deep learning for extracting informative discrete latent representations. VQ-embedded models have shown impressive results in a range of applications including image and speech…

Machine Learning · Computer Science 2023-10-05 Tanmay Gautam , Reid Pryzant , Ziyi Yang , Chenguang Zhu , Somayeh Sojoudi

The neural network (NN)-based direct uncertainty quantification (UQ) methods have achieved the state of the art performance since the first inauguration, known as the lower-upper-bound estimation (LUBE) method. However, currently-available…

Machine Learning · Statistics 2024-07-16 H M Dipu Kabir , Abbas Khosravi , Abdollah Kavousi-Fard , Saeid Nahavandi , Dipti Srinivasan

Deep learning-based numerical schemes for solving high-dimensional backward stochastic differential equations (BSDEs) have recently raised plenty of scientific interest. While they enable numerical methods to approximate very…

Numerical Analysis · Mathematics 2023-10-06 Lorenc Kapllani , Long Teng , Matthias Rottmann

Uncertainty quantification (UQ) in scientific machine learning (SciML) combines the powerful predictive power of SciML with methods for quantifying the reliability of the learned models. However, two major challenges remain: limited…

Machine Learning · Computer Science 2024-04-16 Zongren Zou , Tingwei Meng , Paula Chen , Jérôme Darbon , George Em Karniadakis

Quantum coherence and entanglement are fundamental resources in quantum technologies, yet their efficient estimation for unknown states by employing minimal resources in experimental settings remains challenging, particularly in…

Quantum Physics · Physics 2026-01-12 Ting Lin , Zhihua Chen , Kai Wu , Zhihua Guo , Zhihao Ma , Shao-Ming Fei

AI Uncertainty Quantification (UQ) has the potential to improve human decision-making beyond AI predictions alone by providing additional probabilistic information to users. The majority of past research on AI and human decision-making has…

Artificial Intelligence · Computer Science 2024-02-07 Laura R. Marusich , Jonathan Z. Bakdash , Yan Zhou , Murat Kantarcioglu

We propose a network architecture capable of reliably estimating uncertainty of regression based predictions without sacrificing accuracy. The current state-of-the-art uncertainty algorithms either fall short of achieving prediction…

Machine Learning · Computer Science 2022-02-22 Kinjal Patel , Steven Waslander

Uncertainty Quantification (UQ) is essential for the reliable application of computational models in engineering and science. Among surrogate modeling techniques, Gaussian Process Regression (GPR) is particularly valuable for its…

Computation · Statistics 2025-12-15 Jinglai Li , Hongqiao Wang

Neural operators (NOs) provide fast, resolution-invariant surrogates for mapping input fields to PDE solution fields, but their predictions can exhibit significant epistemic uncertainty due to finite data, imperfect optimization, and…

Machine Learning · Computer Science 2026-03-13 Haoze Song , Zhihao Li , Mengyi Deng , Xin Li , Duyi Pan , Zhilu Lai , Wei Wang

Quantifying uncertainties for machine learning models is a critical step to reduce human verification effort by detecting predictions with low confidence. This paper proposes a method for uncertainty quantification (UQ) of table structure…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Kehinde Ajayi , Leizhen Zhang , Yi He , Jian Wu

In this paper, we adopt conformal prediction, a distribution-free uncertainty quantification (UQ) framework, to obtain confidence prediction intervals with coverage guarantees for Deep Operator Network (DeepONet) regression. Initially, we…

Machine Learning · Computer Science 2024-02-26 Christian Moya , Amirhossein Mollaali , Zecheng Zhang , Lu Lu , Guang Lin

With the increased use of data-driven approaches and machine learning-based methods in material science, the importance of reliable uncertainty quantification (UQ) of the predicted variables for informed decision-making cannot be…

Machine Learning · Computer Science 2024-05-15 Longze Li , Jiang Chang , Aleksandar Vakanski , Yachun Wang , Tiankai Yao , Min Xian

Deep learning-based surrogate models have demonstrated remarkable advantages over classical solvers in terms of speed, often achieving speedups of 10 to 1000 times over traditional partial differential equation (PDE) solvers. However, a…

Machine Learning · Computer Science 2024-02-14 Tailin Wu , Willie Neiswanger , Hongtao Zheng , Stefano Ermon , Jure Leskovec

We describe a computational framework linking Uncertainty Quantification (UQ) methods for continuum problems depending on random parameters with Equation-Free (EF) methods for performing continuum deterministic numerics by acting directly…

Dynamical Systems · Mathematics 2007-05-23 Yu Zou , Ioannis G. Kevrekidis

The changesets (or patches) that fix open source software vulnerabilities form critical datasets for various machine learning security-enhancing applications, such as automated vulnerability patching and silent fix detection. These patch…

Software Engineering · Computer Science 2025-09-23 Hui Chen , Yunhua Zhao , Kostadin Damevski

Deep learning models for semantic segmentation are prone to poor performance in real-world applications due to the highly challenging nature of the task. Model uncertainty quantification (UQ) is one way to address this issue of lack of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-04 Rishabh Singh , Jose C. Principe

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

Machine Learning · Statistics 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

Quantum computing holds significant potential to accelerate machine learning algorithms, especially in solving optimization problems like those encountered in Support Vector Machine (SVM) training. However, current QUBO-based Quantum SVM…

Machine Learning · Computer Science 2025-03-21 Haoqi He , Yan Xiao

We evaluate uncertainty quantification (UQ) methods for deep learning applied to liquid argon time projection chamber (LArTPC) physics analysis tasks. As deep learning applications enter widespread usage among physics data analysis, neural…

High Energy Physics - Experiment · Physics 2023-11-02 Dae Heun Koh , Aashwin Mishra , Kazuhiro Terao

A framework is developed based on different uncertainty quantification (UQ) techniques in order to assess validation and verification (V&V) metrics in computational physics problems, in general, and computational fluid dynamics (CFD), in…

Computational Physics · Physics 2020-07-15 Saleh Rezaeiravesh , Ricardo Vinuesa , Philipp Schlatter