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This paper presents a nonparametric statistical modeling method for quantifying uncertainty in stochastic gradient systems with isotropic diffusion. The central idea is to apply the diffusion maps algorithm to a training data set to produce…

Dynamical Systems · Mathematics 2015-02-10 Tyrus Berry , John Harlim

Diffusion models have gained significant popularity in image generation tasks. However, generating high-quality content remains notably slow because it requires running model inference over many time steps. To accelerate these models, we…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Zichen Fan , Steve Dai , Rangharajan Venkatesan , Dennis Sylvester , Brucek Khailany

The design of image and video quality assessment (QA) algorithms is extremely important to benchmark and calibrate user experience in modern visual systems. A major drawback of the state-of-the-art QA methods is their limited ability to…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Shankhanil Mitra , Diptanu De , Shika Rao , Rajiv Soundararajan

Denoising diffusion models (DDMs) offer a flexible framework for sampling from high dimensional data distributions. DDMs generate a path of probability distributions interpolating between a reference Gaussian distribution and a data…

Machine Learning · Statistics 2024-12-12 Christopher Williams , Andrew Campbell , Arnaud Doucet , Saifuddin Syed

Self-diffusion coefficients, $D^*$, are routinely estimated from molecular dynamics simulations by fitting a linear model to the observed mean-squared displacements (MSDs) of mobile species. MSDs derived from simulation exhibit statistical…

Statistical Mechanics · Physics 2026-01-05 Andrew R. McCluskey , Samuel W. Coles , Benjamin J. Morgan

Dynamic mode decomposition (DMD) provides a practical means of extracting insightful dynamical information from fluids datasets. Like any data processing technique, DMD's usefulness is limited by its ability to extract real and accurate…

Fluid Dynamics · Physics 2016-03-23 Scott T. M. Dawson , Maziar S. Hemati , Matthew O. Williams , Clarence W. Rowley

This article presents a thorough comparison of themain QPM techniques, focusing on their accuracy in terms of measurement precision and trueness. We focus on 8 techniques, namely digital holographic microscopy (DHM), cross-grating wavefront…

Uncertainty estimation bears the potential to make deep learning (DL) systems more reliable. Standard techniques for uncertainty estimation, however, come along with specific combinations of strengths and weaknesses, e.g., with respect to…

Machine Learning · Computer Science 2022-05-02 Joachim Sicking , Maram Akila , Jan David Schneider , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel

Post-training quantization (PTQ) is a practical path to deploy large diffusion models, but quantization noise can accumulate over the denoising trajectory and degrade generation quality. We propose Q-Drift, a principled sampler-side…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Sooyoung Ryu , Mathieu Salzmann , Saqib Javed

Although Convolutional Neural Networks (CNNs) have achieved promising results in image classification, they still are vulnerable to affine transformations including rotation, translation, flip and shuffle. The drawback motivates us to…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Zijie Tan , Guanfang Dong , Chenqiu Zhao , Anup Basu

Microscopy such as Scanning Tunneling Microscopy (STM), Atomic Force Microscopy (AFM) and Scanning Electron Microscopy (SEM) are essential tools in material imaging at micro- and nanoscale resolutions to extract physical knowledge and…

Distribution shift is an important concern in deep image classification, produced either by corruption of the source images, or a complete change, with the solution involving domain adaptation. While the primary goal is to improve accuracy…

Machine Learning · Statistics 2021-10-19 Tiago Salvador , Vikram Voleti , Alexander Iannantuono , Adam Oberman

The quality of synthetically generated images (e.g. those produced by diffusion models) are often evaluated using information about image contents encoded by pretrained auxiliary models. For example, the Fr\'{e}chet Inception Distance (FID)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Ciaran Bench , Spencer A. Thomas

Anomaly detection in complex, high-dimensional data, such as UAV sensor readings, is essential for operational safety but challenging for existing methods due to their limited sensitivity, scalability, and inability to capture intricate…

Machine Learning · Computer Science 2025-10-28 Mingze Gong , Juan Du , Jianbang You

We introduce a method for the estimation of uncertainties in density-functional-theory (DFT) calculations for atomistic systems. The method is based on the construction of an uncertainty-aware functional distribution (UAFD) in a space…

Materials Science · Physics 2025-07-14 Teitur Hansen , Jens Jørgen Mortensen , Thomas Bligaard , Karsten Wedel Jacobsen

Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex systems, enhancing reliability of engineering simulations. In crashworthiness, having an accurate assessment of the behavior of the model uncertainty…

Methodology · Statistics 2021-09-17 Marc Rocas , Alberto García-González , Sergio Zlotnik , Xabier Larráyoz , Pedro Díez

Uncertainty Quantification aims to determine when the prediction from a Machine Learning model is likely to be wrong. Computer Vision research has explored methods for determining epistemic uncertainty (also known as model uncertainty),…

Machine Learning · Computer Science 2024-03-15 Prithviraj Manivannan , Ivo Pascal de Jong , Matias Valdenegro-Toro , Andreea Ioana Sburlea

Image generative models, particularly diffusion-based models, have surged in popularity due to their remarkable ability to synthesize highly realistic images. However, since these models are data-driven, they inherit biases from the…

Machine Learning · Computer Science 2025-03-18 Lin-Chun Huang , Ching Chieh Tsao , Fang-Yi Su , Jung-Hsien Chiang

Deep learning has been shown to be highly effective for automatic modulation classification (AMC), which is a pivotal technology for next-generation cognitive communications. Yet, existing deep learning methods for AMC often lack robust…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Huian Yang , Rajeev Sahay

In recent years, machine learning has witnessed extensive adoption across various sectors, yet its application in medical image-based disease detection and diagnosis remains challenging due to distribution shifts in real-world data. In…

Machine Learning · Computer Science 2024-02-13 Masoumeh Javanbakhat , Md Tasnimul Hasan , Cristoph Lippert