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The variational autoencoder is a well defined deep generative model that utilizes an encoder-decoder framework where an encoding neural network outputs a non-deterministic code for reconstructing an input. The encoder achieves this by…

Machine Learning · Computer Science 2021-09-23 Amur Ghose , Abdullah Rashwan , Pascal Poupart

Image reconstruction from undersampled k-space data has been playing an important role for fast MRI. Recently, deep learning has demonstrated tremendous success in various fields and also shown potential to significantly speed up MR…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Dong Liang , Jing Cheng , Ziwen Ke , Leslie Ying

This paper proposes a theoretical framework on the mechanism of autoencoders. To the encoder part, under the main use of dimensionality reduction, we investigate its two fundamental properties: bijective maps and data disentangling. The…

Machine Learning · Computer Science 2022-12-13 Changcun Huang

Deep learning forms a hierarchical network structure for representation of multiple input features. The adaptive structural learning method of Deep Belief Network (DBN) can realize a high classification capability while searching the…

Neural and Evolutionary Computing · Computer Science 2019-10-01 Shin Kamada , Takumi Ichimura

We propose an image restoration algorithm that can control the perceptual quality and/or the mean square error (MSE) of any pre-trained model, trading one over the other at test time. Our algorithm is few-shot: Given about a dozen images…

Artificial Intelligence · Computer Science 2024-08-13 Theo Adrai , Guy Ohayon , Tomer Michaeli , Michael Elad

A unified self-supervised and supervised deep learning framework for PET image reconstruction is presented, including deep-learned filtered backprojection (DL-FBP) for sinograms, deep-learned backproject then filter (DL-BPF) for…

Image and Video Processing · Electrical Eng. & Systems 2023-02-28 Andrew J. Reader

Unsupervised dimensionality reduction is one of the commonly used techniques in the field of high dimensional data recognition problems. The deep autoencoder network which constrains the weights to be non-negative, can learn a low…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Anyong Qin , Zhaowei Shang , Zhuolin Tan , Taiping Zhang , Yuan Yan Tang

Generative models capture the true distribution of data, yielding semantically rich representations. Denoising diffusion models (DDMs) exhibit superior generative capabilities, though efficient representation learning for them are lacking.…

Machine Learning · Computer Science 2025-05-12 Limai Jiang , Yunpeng Cai

Reconstruction error-based neural architectures constitute a classical deep learning approach to anomaly detection which has shown great performances. It consists in training an Autoencoder to reconstruct a set of examples deemed to…

Machine Learning · Computer Science 2024-06-06 Fabrizio Angiulli , Fabio Fassetti , Luca Ferragina

Probabilistic generative neural networks are useful for many applications, such as image classification, speech recognition and occlusion removal. However, the power budget for hardware implementations of neural networks can be extremely…

Neural and Evolutionary Computing · Computer Science 2017-05-09 Xiaojing Xu , Srinjoy Das , Ken Kreutz-Delgado

Image deblurring is a notoriously challenging ill-posed inverse problem. In recent years, a wide variety of approaches have been proposed based upon regularization at the level of the image or on techniques from machine learning. We propose…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Gabriel Rioux , Rustum Choksi , Tim Hoheisel , Pierre Marechal , Christopher Scarvelis

Mask-based lensless imagers are smaller and lighter than traditional lensed cameras. In these imagers, the sensor does not directly record an image of the scene; rather, a computational algorithm reconstructs it. Typically, mask-based…

Image and Video Processing · Electrical Eng. & Systems 2019-09-27 Kristina Monakhova , Joshua Yurtsever , Grace Kuo , Nick Antipa , Kyrollos Yanny , Laura Waller

The most difficult task in machine learning is to interpret trained shallow neural networks. Deep neural networks (DNNs) provide impressive results on a larger number of tasks, but it is generally still unclear how decisions are made by…

Machine Learning · Computer Science 2022-07-19 Satyam Kumar , Vadlamani Ravi

It is shown that neural networks (NNs) achieve excellent performances in image compression and reconstruction. However, there are still many shortcomings in the practical application, which eventually lead to the loss of neural network…

Multimedia · Computer Science 2019-11-15 Zhiqing Lu , Zhaoxia Yin , Bin Luo

Autoencoders have achieved great success in various computer vision applications. The autoencoder learns appropriate low dimensional image representations through the self-supervised paradigm, i.e., reconstruction. Existing studies mainly…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Jianzhang Zheng , Hao Shen , Jian Yang , Xuan Tang , Mingsong Chen , Hui Yu , Jielong Guo , Xian Wei

In machine learning, graph embedding algorithms seek low-dimensional representations of the input network data, thereby allowing for downstream tasks on compressed encodings. Recently, within the framework of network renormalization,…

Physics and Society · Physics 2025-08-29 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

We show that an optimal finite element mesh refinement algorithm for a prototypical elliptic PDE can be learned by a recurrent neural network with a fixed number of trainable parameters independent of the desired accuracy and the input…

Numerical Analysis · Mathematics 2020-08-10 Jan Bohn , Michael Feischl

There has been a lot of recent interest in designing neural network models to estimate a distribution from a set of examples. We introduce a simple modification for autoencoder neural networks that yields powerful generative models. Our…

Machine Learning · Computer Science 2015-06-08 Mathieu Germain , Karol Gregor , Iain Murray , Hugo Larochelle

Deep networks can be trained to map images into a low-dimensional latent space. In many cases, different images in a collection are articulated versions of one another; for example, same object with different lighting, background, or pose.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Rakib Hyder , M. Salman Asif