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This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

机器学习 · 统计学 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

Ordinary differential equation models are used to describe dynamic processes across biology. To perform likelihood-based parameter inference on these models, it is necessary to specify a statistical process representing the contribution of…

We present a method for training a neural network to perform image denoising without access to clean training examples or access to paired noisy training examples. Our method requires only a single noisy realization of each training example…

图像与视频处理 · 电气工程与系统科学 2019-10-29 Nick Moran , Dan Schmidt , Yu Zhong , Patrick Coady

We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fixed or…

机器学习 · 计算机科学 2026-05-08 Reza Pirayeshshirazinezhad

Accurate interpolation of seismic data is crucial for improving the quality of imaging and interpretation. In recent years, deep learning models such as U-Net and generative adversarial networks have been widely applied to seismic data…

This work addresses the critical challenge of guaranteeing safety for complex dynamical systems where precise mathematical models are uncertain and data measurements are corrupted by noise. We develop a physics-informed, direct data-driven…

系统与控制 · 电气工程与系统科学 2025-08-05 MohammadHossein Ashoori , Ali Aminzadeh , Amy Nejati , Abolfazl Lavaei

The effectiveness of existing denoising algorithms typically relies on accurate pre-defined noise statistics or plenty of paired data, which limits their practicality. In this work, we focus on denoising in the more common case where noise…

图像与视频处理 · 电气工程与系统科学 2020-12-01 Huangxing Lin , Yihong Zhuang , Yue Huang , Xinghao Ding , Yizhou Yu , Xiaoqing Liu , John Paisley

The Industrial Internet of Things (IIoT) is reshaping manufacturing, industrial processes, and infrastructure management. By fostering new levels of automation, efficiency, and predictive maintenance, IIoT is transforming traditional…

机器学习 · 计算机科学 2024-11-13 Keivan Faghih Niresi , Hugo Bissig , Henri Baumann , Olga Fink

Operando microscopy provides direct insight into the dynamic chemical and physical processes that govern functional materials, yet measurement noise limits the effective resolution and undermines quantitative analysis. Here, we present a…

计算机视觉与模式识别 · 计算机科学 2025-11-03 Samuel Degnan-Morgenstern , Alexander E. Cohen , Rajeev Gopal , Megan Gober , George J. Nelson , Peng Bai , Martin Z. Bazant

We present a Physics-Informed Neural Network (PINN) to simulate the thermochemical evolution of a composite material on a tool undergoing cure in an autoclave. In particular, we solve the governing coupled system of differential equations…

机器学习 · 计算机科学 2021-06-16 Sina Amini Niaki , Ehsan Haghighat , Trevor Campbell , Anoush Poursartip , Reza Vaziri

The present paper proposes a data-driven sensor selection method for a high-dimensional nondynamical system with strongly correlated measurement noise. The proposed method is based on proximal optimization and determines sensor locations by…

信号处理 · 电气工程与系统科学 2022-11-29 Takayuki Nagata , Keigo Yamada , Taku Nonomura , Kumi Nakai , Yuji Saito , Shunsuke Ono

Parameter estimation for differential equations from measured data is an inverse problem prevalent across quantitative sciences. Physics-Informed Neural Networks (PINNs) have emerged as effective tools for solving such problems, especially…

机器学习 · 计算机科学 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

In this paper a signal denoising scheme based on Empirical mode decomposition (EMD) is presented. The denoising method is a fully data driven approach. Noisy signal is decomposed adaptively into intrinsic oscillatory components called…

信息论 · 计算机科学 2014-06-02 Mina Kemiha

Deep neural networks (DNNs) have achieved remarkable success across diverse domains, but their performance can be severely degraded by noisy or corrupted training data. Conventional noise mitigation methods often rely on explicit…

机器学习 · 计算机科学 2025-06-16 Deliang Jin , Gang Chen , Shuo Feng , Yufeng Ling , Haoran Zhu

In this study, a new coupled Partial Differential Equation (CPDE) based image denoising model incorporating space-time regularization into non-linear diffusion is proposed. This proposed model is fitted with additive Gaussian noise which…

数值分析 · 数学 2019-08-08 Subit K. Jain , Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

Diffusion models have become a leading paradigm in generative AI, with score estimation via denoising score matching as a central component. While recent theory provides strong statistical guarantees, it typically relies on…

机器学习 · 计算机科学 2026-04-21 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

We propose an unsupervised anomaly detection approach based on a physics-informed diffusion model for multivariate time series data. Over the past years, diffusion model has demonstrated its effectiveness in forecasting, imputation,…

机器学习 · 计算机科学 2025-08-18 Juhi Soni , Markus Lange-Hegermann , Stefan Windmann

Noise is one of the primary sources of interference in seismic exploration. Many authors have proposed various methods to remove noise from seismic data; however, in the face of strong noise conditions, satisfactory results are often not…

地球物理 · 物理学 2024-04-04 Junheng Peng , Yong Li , Yingtian Liu , Zhangquan Liao

Adverse weather conditions such as snow, fog, and rain pose significant challenges to LiDAR-based perception models by introducing noise and corrupting point cloud measurements. To address this issue, we propose TripleMixer, a robust and…

计算机视觉与模式识别 · 计算机科学 2025-08-22 Xiongwei Zhao , Congcong Wen , Xu Zhu , Yang Wang , Haojie Bai , Wenhao Dou

A novel method for noise reduction in the setting of curve time series with error contamination is proposed, based on extending the framework of functional principal component analysis (FPCA). We employ the underlying, finite-dimensional…

统计方法学 · 统计学 2023-07-06 Cees Diks , Bram Wouters