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In this paper, we propose a method for addressing the issue of unnoticed catastrophic deployment and domain shift in neural networks for semantic segmentation in autonomous driving. Our approach is based on the idea that deep learning-based…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Hendrik Vogt , Stefan Buehler , Mark Schutera

Sampling-based motion planning methods, while effective in high-dimensional spaces, often suffer from inefficiencies due to irregular sampling distributions, leading to suboptimal exploration of the configuration space. In this paper, we…

Robotics · Computer Science 2025-08-28 Makram Chahine , T. Konstantin Rusch , Zach J. Patterson , Daniela Rus

Model calibration measures the agreement between the predicted probability estimates and the true correctness likelihood. Proper model calibration is vital for high-risk applications. Unfortunately, modern deep neural networks are poorly…

Image and Video Processing · Electrical Eng. & Systems 2022-09-14 Skylar E. Stolte , Kyle Volle , Aprinda Indahlastari , Alejandro Albizu , Adam J. Woods , Kevin Brink , Matthew Hale , Ruogu Fang

Deep neural networks (NNs) are known for their high-prediction performances. However, NNs are prone to yield unreliable predictions when encountering completely new situations without indicating their uncertainty. Bayesian variants of NNs…

Machine Learning · Computer Science 2023-08-25 Kai Brach , Beate Sick , Oliver Dürr

Transformer-based language models are widely deployed for reasoning, yet their behavior under inference-time stochasticity remains underexplored. While dropout is common during training, its inference-time effects via Monte Carlo sampling…

Machine Learning · Computer Science 2026-03-19 Antônio Junior Alves Caiado , Michael Hahsler

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

Methodology · Statistics 2023-10-27 Kimia Vahdat , Sara Shashaani

Deep neural networks (DNNs) are known for their high prediction performance, especially in perceptual tasks such as object recognition or autonomous driving. Still, DNNs are prone to yield unreliable predictions when encountering completely…

Machine Learning · Computer Science 2020-07-08 Kai Brach , Beate Sick , Oliver Dürr

We propose a multi-index algorithm for the Monte Carlo (MC) discretization of a linear, elliptic PDE with affine-parametric input. We prove an error vs. work analysis which allows a multi-level finite-element approximation in the physical…

Numerical Analysis · Mathematics 2019-07-18 Josef Dick , Michael Feischl , Christoph Schwab

Medical image segmentation plays a crucial role in clinical workflows, but domain shift often leads to performance degradation when models are applied to unseen clinical domains. This challenge arises due to variations in imaging…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Yingkai Wang , Yaoyao Zhu , Xiuding Cai , Yuhao Xiao , Haotian Wu , Yu Yao

Quantifying aleatoric uncertainty in medical image segmentation is critical since it is a reflection of the natural variability observed among expert annotators. A conventional approach is to model the segmentation distribution using the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Phi Van Nguyen , Ngoc Huynh Trinh , Duy Minh Lam Nguyen , Phu Loc Nguyen , Quoc Long Tran

This work addresses uncertainty quantification of electromagnetic devices determined by the eddy current problem. The multilevel Monte Carlo (MLMC) method is used for the treatment of uncertain parameters while the devices are discretized…

Computational Engineering, Finance, and Science · Computer Science 2020-03-24 Armin Galetzka , Zeger Bontinck , Ulrich Römer , Sebastian Schöps

Uncertainty quantification (UQ) includes the characterization, integration, and propagation of uncertainties that result from stochastic variations and a lack of knowledge or data in the natural world. Monte Carlo (MC) method is a…

Methodology · Statistics 2020-11-03 Jiaxin Zhang

Standard Markov chain Monte Carlo methods struggle to explore distributions that are concentrated in the neighbourhood of low-dimensional structures. These pathologies naturally occur in a number of situations. For example, they are common…

Computation · Statistics 2021-12-02 Khai Xiang Au , Matthew M. Graham , Alexandre H. Thiery

We present the MCscales approach for incorporating scale uncertainties in parton distribution functions (PDFs). The new methodology builds on the Monte Carlo sampling for propagating experimental uncertainties into the PDF space that…

High Energy Physics - Phenomenology · Physics 2023-03-27 Zahari Kassabov , Maria Ubiali , Cameron Voisey

Uncertainty analysis in the outcomes of model predictions is a key element in decision-based material design to establish confidence in the models and evaluate the fidelity of models. Uncertainty Propagation (UP) is a technique to determine…

Machine Learning · Computer Science 2023-02-13 Danial Khatamsaz , Vahid Attari , Raymundo Arroyave , Douglas L. Allaire

In many problems, complex non-Gaussian and/or nonlinear models are required to accurately describe a physical system of interest. In such cases, Monte Carlo algorithms are remarkably flexible and extremely powerful approaches to solve such…

Computation · Statistics 2015-04-23 Thi Le Thu Nguyen , Francois Septier , Gareth W. Peters , Yves Delignon

The self-configuring nnU-Net has achieved leading performance in a large range of medical image segmentation challenges. It is widely considered as the model of choice and a strong baseline for medical image segmentation. However, despite…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Yidong Zhao , Changchun Yang , Artur Schweidtmann , Qian Tao

Early detection of incipient faults is of vital importance to reducing maintenance costs, saving energy, and enhancing occupant comfort in buildings. Popular supervised learning models such as deep neural networks are considered promising…

Machine Learning · Computer Science 2019-02-19 Baihong Jin , Dan Li , Seshadhri Srinivasan , See-Kiong Ng , Kameshwar Poolla , Alberto~Sangiovanni-Vincentelli

Convolutional neural network (CNN) has achieved unprecedented success in image super-resolution tasks in recent years. However, the network's performance depends on the distribution of the training sets and degrades on out-of-distribution…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Aupendu Kar , Prabir Kumar Biswas

This paper considers the problem of optimizing the average tracking error for an elliptic partial differential equation with an uncertain lognormal diffusion coefficient. In particular, the application of the multilevel quasi-Monte Carlo…

Numerical Analysis · Mathematics 2021-09-30 Philipp A. Guth , Andreas Van Barel
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