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Traditional neural networks assume vectorial inputs as the network is arranged as layers of single line of computing units called neurons. This special structure requires the non-vectorial inputs such as matrices to be converted into…

Machine Learning · Computer Science 2016-12-12 Junbin Gao , Yi Guo , Zhiyong Wang

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

We present an efficient, effective, and generic approach towards solving inverse problems. The key idea is to leverage the feedback signal provided by the forward process and learn an iterative update model. Specifically, at each iteration,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-20 Wei-Chiu Ma , Shenlong Wang , Jiayuan Gu , Sivabalan Manivasagam , Antonio Torralba , Raquel Urtasun

Diffusion models have recently emerged as powerful generative priors for solving inverse problems. However, training diffusion models in the pixel space are both data-intensive and computationally demanding, which restricts their…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Bowen Song , Soo Min Kwon , Zecheng Zhang , Xinyu Hu , Qing Qu , Liyue Shen

For solving linear inverse problems, particularly of the type that appears in tomographic imaging and compressive sensing, this paper develops two new approaches. The first approach is an iterative algorithm that minimizes a regularized…

Signal Processing · Electrical Eng. & Systems 2023-11-30 Carter Lyons , Raghu G. Raj , Margaret Cheney

Recently, deep learning based methods appeared as a new paradigm for solving inverse problems. These methods empirically show excellent performance but lack of theoretical justification; in particular, no results on the regularization…

Numerical Analysis · Mathematics 2019-01-30 Johannes Schwab , Stephan Antholzer , Markus Haltmeier

Invertible neural networks (INNs) represent an important class of deep neural network architectures that have been widely used in several applications. The universal approximation properties of INNs have also been established recently.…

Numerical Analysis · Mathematics 2023-08-21 Bangti Jin , Zehui Zhou , Jun Zou

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

This work presents an approach to the inverse design of scattering systems by modifying the transmission matrix using reinforcement learning. We utilize Proximal Policy Optimization to navigate the highly non-convex landscape of the object…

Optics · Physics 2025-06-17 Yuhao Kang

Implicit Neural Representations (INRs) are powerful to parameterize continuous signals in computer vision. However, almost all INRs methods are limited to low-level tasks, e.g., image/video compression, super-resolution, and image…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Yiran Song , Qianyu Zhou , Lizhuang Ma

Inverse rendering aims to reconstruct the scene properties of objects solely from multiview images. However, it is an ill-posed problem prone to producing ambiguous estimations deviating from physically accurate representations. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Georgios Kouros , Minye Wu , Sushruth Nagesh , Xianling Zhang , Tinne Tuytelaars

The purpose of this paper is to design a solution to the problem of facial recognition by use of convolutional neural networks, with the intention of applying the solution in a camera-based home-entry access control system. More…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Lars Lien Ankile , Morgan Feet Heggland , Kjartan Krange

A matrix network is a family of matrices, with relatedness modeled by a weighted graph. We consider the task of completing a partially observed matrix network. We assume a novel sampling scheme where a fraction of matrices might be…

Machine Learning · Computer Science 2018-06-11 Qingyun Sun , Mengyuan Yan David Donoho , Stephen Boyd

Matching images and sentences demands a fine understanding of both modalities. In this paper, we propose a new system to discriminatively embed the image and text to a shared visual-textual space. In this field, most existing works apply…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Zhedong Zheng , Liang Zheng , Michael Garrett , Yi Yang , Mingliang Xu , Yi-Dong Shen

We study the problem of computing the preimage of a set under a neural network with piecewise-affine activation functions. We recall an old result that the preimage of a polyhedral set is again a union of polyhedral sets and can be…

Machine Learning · Computer Science 2023-12-15 Marcelo Forets , Christian Schilling

The one-to-one mapping is necessary for many bidirectional image-to-image translation applications, such as MRI image synthesis as MRI images are unique to the patient. State-of-the-art approaches for image synthesis from domain X to domain…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Zengming Shen , Yifan Chen , S. Kevin Zhou , Bogdan Georgescu , Xuqi Liu , Thomas S. Huang

Over the past decade, Deep Learning has emerged as a useful and efficient tool to solve a wide variety of complex learning problems ranging from image classification to human pose estimation, which is challenging to solve using statistical…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Ashutosh Chaubey , Nikhil Agrawal , Kavya Barnwal , Keerat K. Guliani , Pramod Mehta

Neural networks have emerged as effective tools for solving ill-posed inverse problems. In many scientific applications, however, observational training data are insufficient, and learned inverse operators must instead be trained on…

Numerical Analysis · Mathematics 2026-05-26 Sandra R. Babyale , Jodi Mead

Capsule networks are a type of neural network that identify image parts and form the instantiation parameters of a whole hierarchically. The goal behind the network is to perform an inverse computer graphics task, and the network parameters…

Computer Vision and Pattern Recognition · Computer Science 2024-04-25 Saeid Abbassi , Kamaledin Ghiasi-Shirazi , Ahad Harati

In this paper we consider inverse problems that are mathematically ill-posed. That is, given some (noisy) data, there is more than one solution that approximately fits the data. In recent years, deep neural techniques that find the most…

Machine Learning · Computer Science 2023-08-28 Moshe Eliasof , Eldad Haber , Eran Treister