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We investigate the learning dynamics of fully-connected neural networks through the lens of gradient signal-to-noise ratio (SNR), examining the behavior of first-order optimizers like Adam in non-convex objectives. By interpreting the…

Machine Learning · Computer Science 2024-03-28 Sokratis J. Anagnostopoulos , Juan Diego Toscano , Nikolaos Stergiopulos , George Em Karniadakis

Real-world sequential signals, such as audio or video, contain critical information that is often embedded within long periods of silence or noise. While recurrent neural networks (RNNs) are designed to process such data efficiently, they…

Machine Learning · Computer Science 2026-05-01 Bojian Yin , Shurong Wang , Haoyu Tan , Sander Bohte , Federico Corradi , Guoqi Li

In the study of condensed matter physics, spectral information plays an important role for understand the mechanism of materials. However, it is difficult to obtain the spectrum directly through experiments or simulation. For example, the…

Computational Physics · Physics 2022-12-23 Haidong Xie , Xueshuang Xiang , Yuanqing Chen

Diffusion-based super-resolution (SR) models have recently garnered significant attention due to their potent restoration capabilities. But conventional diffusion models perform noise sampling from a single distribution, constraining their…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Chengcheng Wang , Zhiwei Hao , Yehui Tang , Jianyuan Guo , Yujie Yang , Kai Han , Yunhe Wang

Diffusion and flow matching models have achieved remarkable success in text-to-image generation. However, these models typically rely on the predetermined denoising schedules for all prompts. The multi-step reverse diffusion process can be…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Zilyu Ye , Zhiyang Chen , Tiancheng Li , Zemin Huang , Weijian Luo , Guo-Jun Qi

Diffusion models have recently achieved remarkable success in generative modeling, yet their training dynamics across different noise levels remain highly imbalanced, which can lead to inefficient optimization and unstable learning…

Machine Learning · Computer Science 2026-03-12 Nanlong Sun , Lei Shi

Diffusion models have recently emerged as the dominant approach in visual generation tasks. However, the lengthy denoising chains and the computationally intensive noise estimation networks hinder their applicability in low-latency and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Qian Zeng , Jie Song , Yuanyu Wan , Huiqiong Wang , Mingli Song

In this paper, a signal detection method based on the denoise diffusion model (DM) is proposed, which outperforms the maximum likelihood (ML) estimation method that has long been regarded as the optimal signal detection technique.…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Xiucheng Wang , Peilin Zheng , Nan Cheng

Power distribution networks are approaching their voltage stability boundaries due to the severe voltage violations and the inadequate reactive power reserves caused by the increasing renewable generations and dynamic loads. In the broad…

Optimization and Control · Mathematics 2022-08-18 Wanjun Huang , Changhong Zhao

Diffusion models have demonstrated powerful data generation capabilities in various research fields such as image generation. However, in the field of vibration signal generation, the criteria for evaluating the quality of the generated…

Machine Learning · Computer Science 2024-07-02 Haiming Yi , Lei Hou , Yuhong Jin , Nasser A. Saeed , Ali Kandil , Hao Duan

Diffusion models typically inject isotropic Gaussian noise, disregarding structure in the data. Motivated by the way quantum squeezed states redistribute uncertainty according to the Heisenberg uncertainty principle, we introduce Squeezed…

Machine Learning · Computer Science 2025-11-19 Jyotirmai Singh , Samar Khanna , James Burgess

Spectrum sharing is a new approach to solve the congestion problem in the RF spectrum. A spatial approach for spectrum sharing between a radar and a communication system was proposed, which mitigates the radar interference to communication…

Information Theory · Computer Science 2016-11-17 Awais Khawar , Ahmed Abdelhadi , T. Charles Clancy

Diffusion magnetic resonance imaging (dMRI) plays a vital role in both clinical diagnostics and neuroscience research. However, its inherently low signal-to-noise ratio (SNR), especially under high diffusion weighting, significantly…

Quantitative Methods · Quantitative Biology 2026-02-27 Jine Xie , Zhicheng Zhang , Yunwei Chen , Yanqiu Feng , Xinyuan Zhang

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

Machine Learning · Computer Science 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

A model of noise reduction (NR) for signal processing is introduced. Each noise source puts a symmetric constraint on the space of the signal vector within a tolerable overlap. When the number of noise sources increases, sequences of…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. van Mourik , K. Y. Michael Wong , D. Bolle'

Diffusion models have established new state of the art in a multitude of computer vision tasks, including image restoration. Diffusion-based inverse problem solvers generate reconstructions of exceptional visual quality from heavily…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

We present a novel method for diffusion-guided frameworks for view-consistent super-resolution (SR) in neural rendering. Our approach leverages existing 2D SR models in conjunction with advanced techniques such as Variational Score…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Shrey Vishen , Jatin Sarabu , Saurav Kumar , Chinmay Bharathulwar , Rithwick Lakshmanan , Vishnu Srinivas

Diffusion models are typically trained using pointwise reconstruction objectives that are agnostic to the spectral and multi-scale structure of natural signals. We propose a loss-level spectral regularization framework that augments…

Machine Learning · Computer Science 2026-03-04 Satish Chandran , Nicolas Roque dos Santos , Yunshu Wu , Greg Ver Steeg , Evangelos Papalexakis

The generative priors of pre-trained latent diffusion models (DMs) have demonstrated great potential to enhance the visual quality of image super-resolution (SR) results. However, the noise sampling process in DMs introduces randomness in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-26 Lingchen Sun , Rongyuan Wu , Jie Liang , Zhengqiang Zhang , Hongwei Yong , Lei Zhang

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
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