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In this paper we present a a deep generative model for lossy video compression. We employ a model that consists of a 3D autoencoder with a discrete latent space and an autoregressive prior used for entropy coding. Both autoencoder and prior…

Image and Video Processing · Electrical Eng. & Systems 2020-05-11 Amirhossein Habibian , Ties van Rozendaal , Jakub M. Tomczak , Taco S. Cohen

Consider the recovery of an unknown signal ${x}$ from quantized linear measurements. In the one-bit compressive sensing setting, one typically assumes that ${x}$ is sparse, and that the measurements are of the form…

Machine Learning · Statistics 2016-01-20 Karin Knudson , Rayan Saab , Rachel Ward

This article introduces a novel communication scheme, termed coded compressed sensing, for unsourced multiple-access communication. The proposed divide-and-conquer approach leverages recent advances in compressed sensing and forward error…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Compressed sensing deals with the recovery of sparse signals from linear measurements. Without any additional information, it is possible to recover an $s$-sparse signal using $m \gtrsim s \log(d/s)$ measurements in a robust and stable way.…

Functional Analysis · Mathematics 2016-05-25 Axel Flinth

A recent line of research termed unlabeled sensing and shuffled linear regression has been exploring under great generality the recovery of signals from subsampled and permuted measurements; a challenging problem in diverse fields of data…

Information Theory · Computer Science 2019-07-19 Manolis C. Tsakiris , Liangzu Peng

Recent research has shown that it is possible to find interpretable directions in the latent spaces of pre-trained Generative Adversarial Networks (GANs). These directions enable controllable image generation and support a wide range of…

Machine Learning · Computer Science 2021-10-07 Oğuz Kaan Yüksel , Enis Simsar , Ezgi Gülperi Er , Pinar Yanardag

Coded compressed sensing is an algorithmic framework tailored to sparse recovery in very large dimensional spaces. This framework is originally envisioned for the unsourced multiple access channel, a wireless paradigm attuned to…

Information Theory · Computer Science 2019-10-23 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

Information Theory · Computer Science 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

Many application domains, spanning from computational photography to medical imaging, require recovery of high-fidelity images from noisy, incomplete or partial/compressed measurements. State of the art methods for solving these inverse…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Xinyi Wei , Hans van Gorp , Lizeth Gonzalez Carabarin , Daniel Freedman , Yonina C. Eldar , Ruud J. G. van Sloun

In this paper, we propose the generative patch prior (GPP) that defines a generative prior for compressive image recovery, based on patch-manifold models. Unlike learned, image-level priors that are restricted to the range space of a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Rushil Anirudh , Suhas Lohit , Pavan Turaga

Multimodal generative models have recently gained significant attention for their ability to learn representations across various modalities, enhancing joint and cross-generation coherence. However, most existing works use standard Gaussian…

Machine Learning · Computer Science 2024-10-01 Shiyu Yuan , Jiali Cui , Hanao Li , Tian Han

This paper proposes a new methodology for performing Bayesian inference in imaging inverse problems where the prior knowledge is available in the form of training data. Following the manifold hypothesis and adopting a generative modelling…

Methodology · Statistics 2021-03-19 Matthew Holden , Marcelo Pereyra , Konstantinos C. Zygalakis

In this paper, we treat the image generation task using an autoencoder, a representative latent model. Unlike many studies regularizing the latent variable's distribution by assuming a manually specified prior, we approach the image…

Machine Learning · Computer Science 2021-08-27 Jaeyoung Yoo , Hojun Lee , Nojun Kwak

We study the problem of reconstructing a sparse signal from a limited number of its linear projections when a part of its support is known, although the known part may contain some errors. The ``known" part of the support, denoted T, may be…

Information Theory · Computer Science 2015-03-13 Namrata Vaswani , Wei Lu

We consider a compressed sensing problem in which both the measurement and the sparsifying systems are assumed to be frames (not necessarily tight) of the underlying Hilbert space of signals, which may be finite or infinite dimensional. The…

Information Theory · Computer Science 2020-10-15 Giovanni S. Alberti , Matteo Santacesaria

We propose an end-to-end trainable image compression framework with a multi-scale and context-adaptive entropy model, especially for low bitrate compression. Due to the success of autoregressive priors in probabilistic generative model, the…

Image and Video Processing · Electrical Eng. & Systems 2019-10-18 Jing Zhou , Sihan Wen , Akira Nakagawa , Kimihiko Kazui , Zhiming Tan

Modern computer vision requires processing large amounts of data, both while training the model and/or during inference, once the model is deployed. Scenarios where images are captured and processed in physically separated locations are…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Sudeep Katakol , Basem Elbarashy , Luis Herranz , Joost van de Weijer , Antonio M. Lopez

In this paper, we study a general framework for compressive sensing assuming the existence of the prior knowledge that $\boldsymbol{x}^*$ belongs to the union of multiple convex sets, $\boldsymbol{x}^{*} \in \bigcup_i \mathcal{C}_i$. In…

Optimization and Control · Mathematics 2019-08-14 Hang Zhang , Afshin Abdi , Faramarz Fekri

Most deep latent factor models choose simple priors for simplicity, tractability or not knowing what prior to use. Recent studies show that the choice of the prior may have a profound effect on the expressiveness of the model,especially…

Machine Learning · Computer Science 2019-09-11 Hui-Po Wang , Wen-Hsiao Peng , Wei-Jan Ko