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We propose a partial differential-integral equation (PDE) framework for deep neural networks (DNNs) and their associated learning problem by taking the continuum limits of both network width and depth. The proposed model captures the…

Optimization and Control · Mathematics 2024-11-12 Peter Markowich , Simone Portaro

Solving inverse problems with the reverse process of a diffusion model represents an appealing avenue to produce highly realistic, yet diverse solutions from incomplete and possibly noisy measurements, ultimately enabling uncertainty…

Geophysics · Physics 2025-01-10 Matteo Ravasi

Learning predictive models from observations using deep neural networks (DNNs) is a promising new approach to many real-world planning and control problems. However, common DNNs are too unstructured for effective planning, and current…

Robotics · Computer Science 2023-12-21 Ziang Liu , Genggeng Zhou , Jeff He , Tobia Marcucci , Li Fei-Fei , Jiajun Wu , Yunzhu Li

Score-based generative modeling, informally referred to as diffusion models, continue to grow in popularity across several important domains and tasks. While they provide high-quality and diverse samples from empirical distributions,…

Machine Learning · Statistics 2023-12-29 Jacopo Teneggi , Matthew Tivnan , J. Webster Stayman , Jeremias Sulam

Recently, deep learning techniques have been extensively studied for pansharpening, which aims to generate a high resolution multispectral (HRMS) image by fusing a low resolution multispectral (LRMS) image with a high resolution…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Xiangyong Cao , Yang Chen , Wenfei Cao

Denoising diffusion models have emerged as the go-to generative framework for solving inverse problems in imaging. A critical concern regarding these models is their performance on out-of-distribution tasks, which remains an under-explored…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Riccardo Barbano , Alexander Denker , Hyungjin Chung , Tae Hoon Roh , Simon Arridge , Peter Maass , Bangti Jin , Jong Chul Ye

Stochastic equations play an important role in computational science, due to their ability to treat a wide variety of complex statistical problems. However, current algorithms are strongly limited by their sampling variance, which scales…

Numerical Analysis · Mathematics 2017-01-04 Bogdan Opanchuk , Simon Kiesewetter , Peter D. Drummond

The objective of unsupervised graph representation learning (GRL) is to learn a low-dimensional space of node embeddings that reflect the structure of a given unlabeled graph. Existing algorithms for this task rely on negative sampling…

Machine Learning · Computer Science 2021-01-22 M. Maruf , Anuj Karpatne

In this study, we develop a stochastic optimal control approach with reinforcement learning structure to learn the unknown parameters appeared in the drift and diffusion terms of the stochastic differential equation. By choosing an…

Optimization and Control · Mathematics 2023-08-22 Shuzhen Yang

Diffusion Probabilistic Models (DPMs) have emerged as a powerful class of deep generative models, achieving remarkable performance in image synthesis tasks. However, these models face challenges in terms of widespread adoption due to their…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Kidist Amde Mekonnen , Nicola Dall'Asen , Paolo Rota

Diffusion models are vastly used in generative AI, leveraging their capability to capture complex data distributions. However, their potential remains largely unexplored in the field of resource allocation in wireless networks. This paper…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Amirhassan Babazadeh Darabi , Sinem Coleri

Latest diffusion models have shown promising results in category-level 6D object pose estimation by modeling the conditional pose distribution with depth image input. The existing methods, however, suffer from slow convergence during…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Seunghyun Lee , Tae-Kyun Kim

We propose Diffusion-Sharpening, a fine-tuning approach that enhances downstream alignment by optimizing sampling trajectories. Existing RL-based fine-tuning methods focus on single training timesteps and neglect trajectory-level alignment,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Ye Tian , Ling Yang , Xinchen Zhang , Yunhai Tong , Mengdi Wang , Bin Cui

This paper considers the problem of distributed model fitting using the alternating directions method of multipliers (ADMM). ADMM splits the learning problem into several smaller subproblems, usually by partitioning the data samples. The…

Optimization and Control · Mathematics 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

To deploy and operate deep neural models in production, the quality of their predictions, which might be contaminated benignly or manipulated maliciously by input distributional deviations, must be monitored and assessed. Specifically, we…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Guy Bar-Shalom , Yonatan Geifman , Ran El-Yaniv

Accurate spatiotemporal image reconstruction methods are needed for a wide range of biomedical research areas but face challenges due to data incompleteness and computational burden. Data incompleteness arises from the undersampling often…

Image and Video Processing · Electrical Eng. & Systems 2024-10-10 Luke Lozenski , Refik Mert Cam , Mark D. Pagel , Mark A. Anastasio , Umberto Villa

Deep neural network (DNN)-based receivers offer a powerful alternative to classical model-based designs for wireless communication, especially in complex and nonlinear propagation environments. However, their adoption is challenged by the…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Yakov Gusakov , Osvaldo Simeone , Tirza Routtenberg , Nir Shlezinger

In this article, we present an efficient deep learning method called coupled deep neural networks (CDNNs) for coupled physical problems. Our method compiles the interface conditions of the coupled PDEs into the networks properly and can be…

Numerical Analysis · Mathematics 2023-01-18 Jing Yue , Jian Li , Wen Zhang

Sampling from diffusion probabilistic models (DPMs) can be viewed as a piecewise distribution transformation, which generally requires hundreds or thousands of steps of the inverse diffusion trajectory to get a high-quality image. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Zezeng Li , ShengHao Li , Zhanpeng Wang , Na Lei , Zhongxuan Luo , Xianfeng Gu

In the field of data mining and machine learning, commonly used classification models cannot effectively learn in unbalanced data. In order to balance the data distribution before model training, oversampling methods are often used to…

Machine Learning · Computer Science 2024-03-13 Ming Zheng , Yang Yang , Zhi-Hang Zhao , Shan-Chao Gan , Yang Chen , Si-Kai Ni , Yang Lu