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Deep learning-based models have demonstrated remarkable success in solving illposed inverse problems; however, many fail to strictly adhere to the physical constraints imposed by the measurement process. In this work, we introduce a…

Machine Learning · Computer Science 2025-05-22 Jorge Bacca

There is rising interest in differentiable rendering, which allows explicitly modeling geometric priors and constraints in optimization pipelines using first-order methods such as backpropagation. Incorporating such domain knowledge can…

Image and Video Processing · Electrical Eng. & Systems 2023-08-09 Michael Wilmanski , Jonathan Tamir

Summary: Errors in gradient trajectories introduce significant artifacts and distortions in magnetic resonance images, particularly in non-Cartesian imaging sequences, where imperfect gradient waveforms can greatly reduce image quality.…

Medical Physics · Physics 2025-06-19 Jonathan B. Martin , Hannah E. Alderson , John C. Gore , Mark D. Does , Kevin D. Harkins

We propose a novel approach to model viscoelasticity materials using neural networks, which capture rate-dependent and nonlinear constitutive relations. However, inputs and outputs of the neural networks are not directly observable, and…

Numerical Analysis · Mathematics 2020-05-12 Kailai Xu , Alexandre M. Tartakovsky , Jeff Burghardt , Eric Darve

Data inconsistency leads to a slow training process when deep neural networks are used for the inverse design of photonic devices, an issue that arises from the fundamental property of non-uniqueness in all inverse scattering problems. Here…

Optics · Physics 2018-04-09 Dianjing Liu , Yixuan Tan , Erfan Khoram , Zongfu Yu

We consider the problems of learning forward models that map state to high-dimensional images and inverse models that map high-dimensional images to state in robotics. Specifically, we present a perceptual model for generating video frames…

Robotics · Computer Science 2018-05-22 Alexander Lambert , Amirreza Shaban , Amit Raj , Zhen Liu , Byron Boots

Video representation learning has recently attracted attention in computer vision due to its applications for activity and scene forecasting or vision-based planning and control. Video prediction models often learn a latent representation…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Rama Krishna Kandukuri , Jan Achterhold , Michael Möller , Jörg Stückler

Microstructural materials design is one of the most important applications of inverse modeling in materials science. Generally speaking, there are two broad modeling paradigms in scientific applications: forward and inverse. While the…

Machine Learning · Computer Science 2021-01-27 Zijiang Yang , Dipendra Jha , Arindam Paul , Wei-keng Liao , Alok Choudhary , Ankit Agrawal

Finding model parameters from data is an essential task in science and engineering, from weather and climate forecasts to plasma control. Previous works have employed neural networks to greatly accelerate finding solutions to inverse…

Machine Learning · Computer Science 2024-08-16 Philipp Holl , Nils Thuerey

Convolutional Neural Networks (CNNs) for visual tasks are believed to learn both the low-level textures and high-level object attributes, throughout the network depth. This paper further investigates the `texture bias' in CNNs. To this end,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Amin Banitalebi-Dehkordi , Yong Zhang

Deep Neural Networks (DNNs) demonstrate remarkable capabilities in learning complex hierarchical data representations, but the nature of these representations remains largely unknown. Existing global explainability methods, such as Network…

Machine Learning · Computer Science 2024-01-19 Kirill Bykov , Laura Kopf , Shinichi Nakajima , Marius Kloft , Marina M. -C. Höhne

One of the challenges of full autonomy is to have a robot capable of manipulating its current environment to achieve another environment configuration. This paper is a step towards this challenge, focusing on the visual understanding of the…

Robotics · Computer Science 2020-11-24 Guilherme Maeda , Joni Väätäinen , Hironori Yoshida

There is strong interest in developing mathematical methods that can be used to understand complex neural networks used in image analysis. In this paper, we introduce techniques from Linear Algebra to model neural network layers as maps…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Rebecca Pattichis , Marios S. Pattichis

When seeing a new object, humans can immediately recognize it across different retinal locations: we say that the internal object representation is invariant to translation. It is commonly believed that Convolutional Neural Networks (CNNs)…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Valerio Biscione , Jeffrey Bowers

Machine learning techniques for the solution of inverse problems have become an attractive approach in the last decade, while their theoretical foundations are still in their infancy. In this chapter we want to pursue the study of…

Numerical Analysis · Mathematics 2025-12-10 Martin Burger , Samira Kabri , Gitta Kutyniok , Yunseok Lee , Lukas Weigand

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

Numerical Analysis · Mathematics 2020-06-09 Markus Haltmeier , Linh V. Nguyen

Mathematically representing the shape of an object is a key ingredient for solving inverse rendering problems. Explicit representations like meshes are efficient to render in a differentiable fashion but have difficulties handling topology…

Graphics · Computer Science 2022-07-12 Guangyan Cai , Kai Yan , Zhao Dong , Ioannis Gkioulekas , Shuang Zhao

Deep neural networks as image priors have been recently introduced for problems such as denoising, super-resolution and inpainting with promising performance gains over hand-crafted image priors such as sparsity and low-rank. Unlike learned…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Gauri Jagatap , Chinmay Hegde

Predicting distant future trajectories of agents in a dynamic scene is not an easy problem because the future trajectory of an agent is affected by not only his/her past trajectory but also the scene contexts. To tackle this problem, we…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Dooseop Choi , Kyoungwook Min , Jeongdan Choi

In this paper, we address the problem of dynamic scene deblurring in the presence of motion blur. Restoration of images affected by severe blur necessitates a network design with a large receptive field, which existing networks attempt to…

Computer Vision and Pattern Recognition · Computer Science 2022-02-08 Kuldeep Purohit , A. N. Rajagopalan
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