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Recently, there has been an increased interest in NeRF methods which reconstruct differentiable representation of three-dimensional scenes. One of the main limitations of such methods is their inability to assess the confidence of the model…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Vsevolod Skorokhodov , Darya Drozdova , Dmitry Yudin

Uncertainty is the only certainty there is. Modeling data uncertainty is essential for regression, especially in unconstrained settings. Traditionally the direct regression formulation is considered and the uncertainty is modeled by…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Wanhua Li , Xiaoke Huang , Jiwen Lu , Jianjiang Feng , Jie Zhou

Uncertainty quantification of deep neural networks has become an active field of research and plays a crucial role in various downstream tasks such as active learning. Recent advances in evidential deep learning shed light on the direct…

Machine Learning · Computer Science 2023-11-21 Ruxiao Duan , Brian Caffo , Harrison X. Bai , Haris I. Sair , Craig Jones

The reliable measurement of confidence in classifiers' predictions is very important for many applications and is, therefore, an important part of classifier design. Yet, although deep learning has received tremendous attention in recent…

Artificial Intelligence · Computer Science 2020-07-01 Amit Mandelbaum , Daphna Weinshall

Evidential deep learning, built upon belief theory and subjective logic, offers a principled and computationally efficient way to turn a deterministic neural network uncertainty-aware. The resultant evidential models can quantify…

Machine Learning · Computer Science 2023-06-27 Deep Pandey , Qi Yu

Reliable uncertainty quantification in deep neural networks is very crucial in safety-critical applications such as automated driving for trustworthy and informed decision-making. Assessing the quality of uncertainty estimates is…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Neslihan Kose , Ranganath Krishnan , Akash Dhamasia , Omesh Tickoo , Michael Paulitsch

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

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

Statistical physics approaches can be used to derive accurate predictions for the performance of inference methods learning from potentially noisy data, as quantified by the learning curve defined as the average error versus number of…

Machine Learning · Statistics 2012-11-07 Matthew J. Urry , Peter Sollich

Estimating the uncertainty in deep neural network predictions is crucial for many real-world applications. A common approach to model uncertainty is to choose a parametric distribution and fit the data to it using maximum likelihood…

Machine Learning · Computer Science 2022-11-28 Ali Harakeh , Jordan Hu , Naiqing Guan , Steven L. Waslander , Liam Paull

A simple Bayesian approach to nonparametric regression is described using fuzzy sets and membership functions. Membership functions are interpreted as likelihood functions for the unknown regression function, so that with the help of a…

Methodology · Statistics 2008-12-18 Jean-François Angers , Mohan Delampady

The recent decade has seen an enormous rise in the popularity of deep learning and neural networks. These algorithms have broken many previous records and achieved remarkable results. Their outstanding performance has significantly sped up…

Neural networks capable of accurate, input-conditional uncertainty representation are essential for real-world AI systems. Deep ensembles of Gaussian networks have proven highly effective for continuous regression due to their ability to…

Machine Learning · Computer Science 2025-10-02 Spencer Young , Porter Jenkins , Longchao Da , Jeff Dotson , Hua Wei

In many real-world problems, there is a limited set of training data, but an abundance of unlabeled data. We propose a new method, Generative Posterior Networks (GPNs), that uses unlabeled data to estimate epistemic uncertainty in…

Machine Learning · Computer Science 2024-01-01 Melrose Roderick , Felix Berkenkamp , Fatemeh Sheikholeslami , Zico Kolter

Randomized neural networks (NNs) are an interesting alternative to conventional NNs that are more used for data modeling. The random vector functional-link (RVFL) network is an established and theoretically well-grounded randomized learning…

Computation · Statistics 2018-04-24 Hien D. Nguyen , Dianhui Wang , Geoffrey J. McLachlan

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

Providing accurate uncertainty estimations is essential for producing reliable machine learning models, especially in safety-critical applications such as accelerator systems. Gaussian process models are generally regarded as the gold…

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

Machine Learning · Computer Science 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

We present a probabilistic framework to accurately estimate dimensions of additively manufactured components. Using a dataset of 405 parts from nine production runs involving two machines, three polymer materials, and two-part…

Machine Learning · Computer Science 2025-09-23 Dipayan Sanpui , Anirban Chandra , Henry Chan , Sukriti Manna , Subramanian KRS Sankaranarayanan

To improve the problem that the parameter identification for fuzzy neural network has many time complexities in calculating, an improved T-S fuzzy inference method and an parameter identification method for fuzzy neural network are…

Neural and Evolutionary Computing · Computer Science 2014-12-30 Chol Man Ho , Son Il Gwak , Song Ho Pak , Jong Won Ha
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