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This paper addresses the reconstruction of an unknown signal vector with sublinear sparsity from generalized linear measurements. Generalized approximate message-passing (GAMP) is proposed via state evolution in the sublinear sparsity…

Information Theory · Computer Science 2025-02-21 Keigo Takeuchi

Bayesian approximate message passing (BAMP) is an efficient method in compressed sensing that is nearly optimal in the minimum mean squared error (MMSE) sense. Bayesian approximate message passing (BAMP) performs joint recovery of multiple…

Information Theory · Computer Science 2019-01-30 Gabor Hannak , Alessandro Perelli , Norbert Goertz , Gerald Matz , Mike E. Davies

Approximate Message Passing (AMP) algorithmshave recently gathered significant attention across disciplines such as statistical physics, machine learning, and communication systems. This study aims to extend AMP algorithms to non-symmetric…

Probability · Mathematics 2024-02-14 Mohammed-Younes Gueddari , Walid Hachem , Jamal Najim

Statistical dependencies among wavelet coefficients are commonly represented by graphical models such as hidden Markov trees(HMTs). However, in linear inverse problems such as deconvolution, tomography, and compressed sensing, the presence…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Nikhil S Rao , Robert D. Nowak , Stephen J. Wright , Nick G. Kingsbury

[This paper was initially published in PHME conference in 2016, selected for further publication in International Journal of Prognostics and Health Management.] This paper describes an Autoregressive Partially-hidden Markov model (ARPHMM)…

Machine Learning · Statistics 2021-05-04 Pablo Juesas , Emmanuel Ramasso , Sébastien Drujont , Vincent Placet

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition. Unfortunately,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-03 Ali Ayremlou , Thomas Goldstein , Ashok Veeraraghavan , Richard Baraniuk

We consider the problem of localizing change points in a generalized linear model (GLM), a model that covers many widely studied problems in statistical learning including linear, logistic, and rectified linear regression. We propose a…

Machine Learning · Statistics 2025-09-08 Gabriel Arpino , Xiaoqi Liu , Julia Gontarek , Ramji Venkataramanan

The high dimensionality of images presents architecture and sampling-efficiency challenges for likelihood-based generative models. Previous approaches such as VQ-VAE use deep autoencoders to obtain compact representations, which are more…

Computer Vision and Pattern Recognition · Computer Science 2021-03-08 Charlie Nash , Jacob Menick , Sander Dieleman , Peter W. Battaglia

Adaptive block-based compressive sensing (ABCS) algorithms are studied in the context of the practical realization of compressive sensing on resource-constrained image and video sensing platforms that use single-pixel cameras, multi-pixel…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Joseph Zammit , Ian J. Wassell

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

This paper proposes a CS scheme that exploits the representational power of restricted Boltzmann machines and deep learning architectures to model the prior distribution of the sparsity pattern of signals belonging to the same class. The…

Machine Learning · Computer Science 2017-08-02 Luisa F. Polania , Kenneth E. Barner

Massive spatial modulation (SM)-MIMO, which employs massive low-cost antennas but few power-hungry transmit radio frequency (RF) chains at the transmitter, is recently proposed to provide both high spectrum efficiency and energy efficiency…

Information Theory · Computer Science 2016-11-15 Zhen Gao , Linglong Dai , Chenhao Qi , Chau Yuen , Zhaocheng Wang

We develop a lensless compressive imaging architecture, which consists of an aperture assembly and a single sensor, without using any lens. An anytime algorithm is proposed to reconstruct images from the compressive measurements; the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-17 Xin Yuan , Hong Jiang , Gang Huang , Paul Wilford

Sparse Bayesian learning (SBL) can be implemented with low complexity based on the approximate message passing (AMP) algorithm. However, it does not work well for a generic measurement matrix, which may cause AMP to diverge. Damped AMP has…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Man Luo , Qinghua Guo , Ming Jin , Yonina C. Eldar , Defeng , Huang , Xiangming Meng

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

Information Theory · Computer Science 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

Message-passing algorithms have emerged as powerful techniques for approximate inference in graphical models. When these algorithms converge, they can be shown to find local (or sometimes even global) optima of variational formulations to…

Artificial Intelligence · Computer Science 2012-05-14 Talya Meltzer , Amir Globerson , Yair Weiss

Text-image cross-modal retrieval is a challenging task in the field of language and vision. Most previous approaches independently embed images and sentences into a joint embedding space and compare their similarities. However, previous…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Zihao Wang , Xihui Liu , Hongsheng Li , Lu Sheng , Junjie Yan , Xiaogang Wang , Jing Shao

Resampling techniques are widely used in statistical inference and ensemble learning, in which estimators' statistical properties are essential. However, existing methods are computationally demanding, because repetitions of…

Machine Learning · Statistics 2019-05-24 Takashi Takahashi , Yoshiyuki Kabashima

Learning parameters from voluminous data can be prohibitive in terms of memory and computational requirements. We propose a "compressive learning" framework where we estimate model parameters from a sketch of the training data. This sketch…

Machine Learning · Computer Science 2017-05-08 Nicolas Keriven , Anthony Bourrier , Rémi Gribonval , Patrick Pérez

We propose a method for lossy image compression based on recurrent, convolutional neural networks that outperforms BPG (4:2:0 ), WebP, JPEG2000, and JPEG as measured by MS-SSIM. We introduce three improvements over previous research that…

Computer Vision and Pattern Recognition · Computer Science 2017-03-30 Nick Johnston , Damien Vincent , David Minnen , Michele Covell , Saurabh Singh , Troy Chinen , Sung Jin Hwang , Joel Shor , George Toderici