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We proposed a framework for solving inverse problems in differential equations based on neural networks and automatic differentiation. Neural networks are used to approximate hidden fields. We analyze the source of errors in the framework…

Numerical Analysis · Mathematics 2024-12-20 Kailai Xu , Eric Darve

Due to network operation and maintenance relying heavily on network traffic monitoring, traffic matrix analysis has been one of the most crucial issues for network management related tasks. However, it is challenging to reliably obtain the…

Networking and Internet Architecture · Computer Science 2024-12-02 Xinyu Yuan , Yan Qiao , Zhenchun Wei , Zeyu Zhang , Minyue Li , Pei Zhao , Rongyao Hu , Wenjing Li

Diffusion models have become increasingly popular for generative modeling due to their ability to generate high-quality samples. This has unlocked exciting new possibilities for solving inverse problems, especially in image restoration and…

Diffusion model have been successfully applied to many inverse problems, including MRI and CT reconstruction. Researchers typically re-purpose models originally designed for unconditional sampling without modifications. Using two different…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Lukas Glaszner , Martin Zach

We present diffusion-convolutional neural networks (DCNNs), a new model for graph-structured data. Through the introduction of a diffusion-convolution operation, we show how diffusion-based representations can be learned from…

Machine Learning · Computer Science 2016-07-11 James Atwood , Don Towsley

This paper develops a unified framework for image-to-image translation based on conditional diffusion models and evaluates this framework on four challenging image-to-image translation tasks, namely colorization, inpainting, uncropping, and…

Computer Vision and Pattern Recognition · Computer Science 2022-05-05 Chitwan Saharia , William Chan , Huiwen Chang , Chris A. Lee , Jonathan Ho , Tim Salimans , David J. Fleet , Mohammad Norouzi

Currently, increasingly deeper neural networks have been applied to improve their accuracy. In contrast, We propose a novel wider Convolutional Neural Networks (CNN) architecture, motivated by the Multi-column Deep Neural Networks and the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Xiaobo Huang

Using diffusion models to solve inverse problems is a growing field of research. Current methods assume the degradation to be known and provide impressive results in terms of restoration quality and diversity. In this work, we leverage the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Charles Laroche , Andrés Almansa , Eva Coupete

This paper deals with the case of using nonlinear diffusion filters to obtain piecewise constant images as a previous process for segmentation techniques. We first show an intrinsic formulation for the nonlinear diffusion equation to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Javier Sanguino , Carlos Platero , Olga Velasco

We introduce the Fixed Point Diffusion Model (FPDM), a novel approach to image generation that integrates the concept of fixed point solving into the framework of diffusion-based generative modeling. Our approach embeds an implicit fixed…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Xingjian Bai , Luke Melas-Kyriazi

Over the year, people have been using deep learning to tackle inversion problems, and we see the framework has been applied to build relationship between recording wavefield and velocity (Yang et al., 2016). Here we will extend the work…

Machine Learning · Computer Science 2022-01-07 Cheng Zhan , Licheng Zhang , Xin Zhao , Chang-Chun Lee , Shujiao Huang

The ability to automatically learn task specific feature representations has led to a huge success of deep learning methods. When large training data is scarce, such as in medical imaging problems, transfer learning has been very effective.…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Hariharan Ravishankar , Prasad Sudhakar , Rahul Venkataramani , Sheshadri Thiruvenkadam , Pavan Annangi , Narayanan Babu , Vivek Vaidya

This paper has proposed a new baseline deep learning model of more benefits for image classification. Different from the convolutional neural network(CNN) practice where filters are trained by back propagation to represent different…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Yifei Li , Kuangyan Song , Yiming Sun , Liao Zhu

In recent years, large convolutional neural networks have been widely used as tools for image deblurring, because of their ability in restoring images very precisely. It is well known that image deblurring is mathematically modeled as an…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini , James Nagy

We propose self-diffusion, a novel framework for solving inverse problems without relying on pretrained generative models. Traditional diffusion-based approaches require training a model on a clean dataset to learn to reverse the forward…

Machine Learning · Computer Science 2025-12-09 Guanxiong Luo , Shoujin Huang , Yanlong Yang

Deep Neural Networks (DNNs) have recently shown state of the art performance on semantic segmentation tasks, however, they still suffer from problems of poor boundary localization and spatial fragmented predictions. The difficulties lie in…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Peng Jiang , Fanglin Gu , Yunhai Wang , Changhe Tu , Baoquan Chen

Divide and conquer is an established algorithm design paradigm that has proven itself to solve a variety of problems efficiently. However, it is yet to be fully explored in solving problems with a neural network, particularly the problem of…

Image and Video Processing · Electrical Eng. & Systems 2020-10-08 Vikram Singh , Anurag Mittal

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

Machine Learning · Computer Science 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

Inverting visual representations within deep neural networks (DNNs) presents a challenging and important problem in the field of security and privacy for deep learning. The main goal is to invert the features of an unidentified target image…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Sai Qian Zhang , Ziyun Li , Chuan Guo , Saeed Mahloujifar , Deeksha Dangwal , Edward Suh , Barbara De Salvo , Chiao Liu

Ensuring the robustness of deep learning models requires comprehensive and diverse testing. Existing approaches, often based on simple data augmentation techniques or generative adversarial networks, are limited in producing realistic and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Luciano Baresi , Davide Yi Xian Hu , Muhammad Irfan Mas'udi , Giovanni Quattrocchi