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The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by deep generative networks). In this work, we study the…

Machine Learning · Computer Science 2021-05-14 Viraj Shah , Rakib Hyder , M. Salman Asif , Chinmay Hegde

We introduce a generative smoothness regularization on manifolds (SToRM) model for the recovery of dynamic image data from highly undersampled measurements. The model assumes that the images in the dataset are non-linear mappings of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Stanley Kruger , Mathews Jacob

Deep generative models provide powerful tools for distributions over complicated manifolds, such as those of natural images. But many of these methods, including generative adversarial networks (GANs), can be difficult to train, in part…

Machine Learning · Statistics 2017-11-08 Akash Srivastava , Lazar Valkov , Chris Russell , Michael U. Gutmann , Charles Sutton

Most modern imaging systems incorporate a computational pipeline to infer the image of interest from acquired measurements. The Bayesian approach to solve such ill-posed inverse problems involves the characterization of the posterior…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Pakshal Bohra , Thanh-an Pham , Jonathan Dong , Michael Unser

Deep-learning has achieved good performance and shown great potential for solving forward and inverse problems. In this work, two categories of innovative deep-learning based inverse modeling methods are proposed and compared. The first…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

Generative learning generates high dimensional data based on low dimensional conditions, also called prompts. Therefore, generative learning algorithms are eligible for solving (Bayesian) inverse problems. In this article we compare a…

Machine Learning · Computer Science 2026-02-02 Patrick Krüger , Patrick Materne , Werner Krebs , Hanno Gottschalk

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed model is inspired by the architecture of generative…

Optimization and Control · Mathematics 2021-11-10 Andreas Habring , Martin Holler

Recently, multiple formulations of vision problems as probabilistic inversions of generative models based on computer graphics have been proposed. However, applications to 3D perception from natural images have focused on low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Tejas D. Kulkarni , Vikash K. Mansinghka , Pushmeet Kohli , Joshua B. Tenenbaum

Recent work has shown the ability to learn generative models for 3D shapes from only unstructured 2D images. However, training such models requires differentiating through the rasterization step of the rendering process, therefore past work…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Sebastian Lunz , Yingzhen Li , Andrew Fitzgibbon , Nate Kushman

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

Machine Learning · Statistics 2022-03-02 Yingzhi Xia , Nicholas Zabaras

Image generation models trained on large datasets can synthesize high-quality images but often produce spatially inconsistent and distorted images due to limited information about the underlying structures and spatial layouts. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Hyundo Lee , Suhyung Choi , Inwoo Hwang , Byoung-Tak Zhang

3D generative modeling is accelerating as the technology allowing the capture of geometric data is developing. However, the acquired data is often inconsistent, resulting in unregistered meshes or point clouds. Many generative learning…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Thomas Besnier , Sylvain Arguillère , Emery Pierson , Mohamed Daoudi

Computational imaging is increasingly vital for a broad spectrum of applications, ranging from biological to material sciences. This includes applications where the object is known and sufficiently sparse, allowing it to be described with a…

Image and Video Processing · Electrical Eng. & Systems 2024-01-17 Jacob Seifert , Yifeng Shao , Allard P. Mosk

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

We introduce a new framework for manipulating and interacting with deep generative models that we call network bending. We present a comprehensive set of deterministic transformations that can be inserted as distinct layers into the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-15 Terence Broad , Frederic Fol Leymarie , Mick Grierson

AI Safety is a major concern in many deep learning applications such as autonomous driving. Given a trained deep learning model, an important natural problem is how to reliably verify the model's prediction. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Tong Che , Xiaofeng Liu , Site Li , Yubin Ge , Ruixiang Zhang , Caiming Xiong , Yoshua Bengio

Building models capable of generating structured output is a key challenge for AI and robotics. While generative models have been explored on many types of data, little work has been done on synthesizing lidar scans, which play a key role…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Lucas Caccia , Herke van Hoof , Aaron Courville , Joelle Pineau

Deep generative models often perform poorly in real-world applications due to the heterogeneity of natural data sets. Heterogeneity arises from data containing different types of features (categorical, ordinal, continuous, etc.) and…

Machine Learning · Computer Science 2020-06-23 Chao Ma , Sebastian Tschiatschek , José Miguel Hernández-Lobato , Richard Turner , Cheng Zhang

The remarkable performance of deep neural networks (DNNs) currently makes them the method of choice for solving linear inverse problems. They have been applied to super-resolve and restore images, as well as to reconstruct MR and CT images.…

Image and Video Processing · Electrical Eng. & Systems 2021-06-01 Marija Vella , João F. C. Mota

The advancement of diverse generative deep learning models and their variants has furnished substantial insights for investigating quantum many-body problems. In this work, we design two models based on the foundational architecture of…

Quantum Physics · Physics 2026-02-25 Yanyang Wang , Feng Gao , Kui Tuo , Wei Li
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