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In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

Numerical Analysis · Mathematics 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong

In Deep Learning, Stochastic Gradient Descent (SGD) is usually selected as a training method because of its efficiency; however, recently, a problem in SGD gains research interest: sharp minima in Deep Neural Networks (DNNs) have poor…

Machine Learning · Computer Science 2018-12-04 Wei Wen , Yandan Wang , Feng Yan , Cong Xu , Chunpeng Wu , Yiran Chen , Hai Li

In this study, we proposed an efficient approach based on a deep learning (DL) denoising autoencoder (DAE) model for denoising noisy flow fields. The DAE operates on a self-learning principle and does not require clean data as training…

Fluid Dynamics · Physics 2024-08-06 Linqi Yu , Mustafa Z. Yousif , Dan Zhou , Meng Zhang , Jungsub Lee , Hee-Chang Lim

Anomaly detection in tabular data remains challenging due to complex feature interactions and the scarcity of anomalous examples. Denoising autoencoders rely on fixed-magnitude noise, limiting adaptability to diverse data distributions.…

Machine Learning · Computer Science 2025-08-04 Timur Sattarov , Marco Schreyer , Damian Borth

We propose Comprehensive Robust Dynamic Mode Decomposition (CR-DMD), a novel framework that robustifies the entire DMD process - from mode extraction to dimensional reduction - against mixed noise. Although standard DMD widely used for…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Yuki Nakamura , Shingo Takemoto , Shunsuke Ono

We consider the stochastic gradient descent (SGD) algorithm driven by a general stochastic sequence, including i.i.d noise and random walk on an arbitrary graph, among others; and analyze it in the asymptotic sense. Specifically, we employ…

Machine Learning · Computer Science 2022-09-16 Jie Hu , Vishwaraj Doshi , Do Young Eun

In an industrial IoT setting, ensuring the quality of sensor data is a must when data-driven algorithms operate on the upper layers of the control system. Unfortunately, the common place in industrial facilities is to find sensor time…

Signal Processing · Electrical Eng. & Systems 2021-10-04 Saúl Langarica , Felipe Núñez

In this paper, we propose a state-of-the-art video denoising algorithm based on a convolutional neural network architecture. Until recently, video denoising with neural networks had been a largely under explored domain, and existing methods…

Computer Vision and Pattern Recognition · Computer Science 2020-05-01 Matias Tassano , Julie Delon , Thomas Veit

Score-based generative models achieve state-of-the-art sampling performance by denoising a distribution perturbed by Gaussian noise. In this paper, we focus on a single deterministic denoising step, and compare the optimal denoiser for the…

Machine Learning · Computer Science 2026-03-18 Eliot Beyler , Francis Bach

We utilize machine learning models which are based on recurrent neural networks to optimize dynamical decoupling (DD) sequences. DD is a relatively simple technique for suppressing the errors in quantum memory for certain noise models. In…

Quantum Physics · Physics 2017-02-01 Moritz August , Xiaotong Ni

With the rise of cameras and smart sensors, humanity generates an exponential amount of data. This valuable information, including underrepresented cases like AI in medical settings, can fuel new deep-learning tools. However, data…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Zikui Cai , Zhongpai Gao , Benjamin Planche , Meng Zheng , Terrence Chen , M. Salman Asif , Ziyan Wu

Several recent works discussed application-driven image restoration neural networks, which are capable of not only removing noise in images but also preserving their semantic-aware details, making them suitable for various high-level…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Sicheng Wang , Bihan Wen , Junru Wu , Dacheng Tao , Zhangyang Wang

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…

Machine Learning · Computer Science 2025-06-16 Deliang Jin , Gang Chen , Shuo Feng , Yufeng Ling , Haoran Zhu

This paper introduces a methodology based on Denoising AutoEncoder (DAE) for missing data imputation. The proposed methodology, called mDAE hereafter, results from a modification of the loss function and a straightforward procedure for…

Machine Learning · Computer Science 2024-11-21 Mariette Dupuy , Marie Chavent , Remi Dubois

In recent years, the development of deep learning has been pushing image denoising to a new level. Among them, self-supervised denoising is increasingly popular because it does not require any prior knowledge. Most of the existing…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Dan Zhang , Fangfang Zhou

Recently, there has been extensive research interest in training deep networks to denoise images without clean reference. However, the representative approaches such as Noise2Noise, Noise2Void, Stein's unbiased risk estimator (SURE), etc.…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Kwanyoung Kim , Jong Chul Ye

Dynamic networks have shown their promising capability in reducing theoretical computation complexity by adapting their architectures to the input during inference. However, their practical runtime usually lags behind the theoretical…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Changlin Li , Guangrun Wang , Bing Wang , Xiaodan Liang , Zhihui Li , Xiaojun Chang

Deep neural networks enable real-time monitoring of in-vehicle drivers, facilitating the timely prediction of distractions, fatigue, and potential hazards. This technology is now integral to intelligent transportation systems. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Cong Duan , Zixuan Liu , Jiahao Xia , Minghai Zhang , Jiacai Liao , Libo Cao

We study the large deviations performance of consensus+innovations distributed detection over noisy networks, where sensors at a time step k cooperate with immediate neighbors (consensus) and assimilate their new observations (innovation.)…

Information Theory · Computer Science 2015-05-30 Dusan Jakovetic , Jose M. F. Moura , Joao Xavier

Differential dynamic microscopy (DDM) typically relies on movies containing hundreds or thousands of frames to accurately quantify motion in soft matter systems. Using movies much shorter in duration produces noisier and less accurate…

Soft Condensed Matter · Physics 2024-11-05 Gildardo Martinez , Justin Siu , Steven Dang , Dylan Gage , Emma Kao , Juan Carlos Avila , Ruilin You , Ryan McGorty