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Vector Approximate Message Passing (VAMP) provides the means of solving a linear inverse problem in a Bayes-optimal way assuming the measurement operator is sufficiently random. However, VAMP requires implementing the linear minimum mean…

Information Theory · Computer Science 2022-06-23 Nikolajs Skuratovs , Mike E. Davies

Approximate Message Passing (AMP) has been shown to be a superior method for inference problems, such as the recovery of signals from sets of noisy, lower-dimensionality measurements, both in terms of reconstruction accuracy and in…

Information Theory · Computer Science 2015-06-10 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

This paper considers a discrete-valued signal estimation scheme based on a low-complexity Bayesian optimal message passing algorithm (MPA) for solving massive linear inverse problems under highly correlated measurements. Gaussian belief…

Signal Processing · Electrical Eng. & Systems 2024-11-14 Tomoharu Furudoi , Takumi Takahashi , Shinsuke Ibi , Hideki Ochiai

Image quality assessment often relies on raw opinion scores provided by subjects in subjective experiments, which can be noisy and unreliable. To address this issue, postprocessing procedures such as ITU-R BT.500, ITU-T P.910, and ITU-T…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Lei Wang , Desen Yuan

It is well known that training a denoising score-based diffusion models requires tens of thousands of epochs and a substantial number of image data to train the model. In this paper, we propose to increase the efficiency in training…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Andrew S. Na , William Gao , Justin W. L. Wan

Text-to-image generative models often struggle with long prompts detailing complex scenes, diverse objects with distinct visual characteristics and spatial relationships. In this work, we propose SCoPE (Scheduled interpolation of…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Ketan Suhaas Saichandran , Xavier Thomas , Prakhar Kaushik , Deepti Ghadiyaram

Graph neural networks (GNNs) are a powerful inductive bias for modelling algorithmic reasoning procedures and data structures. Their prowess was mainly demonstrated on tasks featuring Markovian dynamics, where querying any associated data…

Machine Learning · Computer Science 2021-04-28 Heiko Strathmann , Mohammadamin Barekatain , Charles Blundell , Petar Veličković

Existing plug-and-play image restoration methods typically employ off-the-shelf Gaussian denoisers as proximal operators within classical optimization frameworks based on variable splitting. Recently, denoisers induced by generative priors…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ji Li , Chao Wang

Recent frameworks, such as the so-called plug-and-play, allow us to leverage the developments in image denoising to tackle other, and more involved, problems in image processing. As the name suggests, state-of-the-art denoisers are plugged…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

The utilisation of Plug-and-Play (PnP) priors in inverse problems has become increasingly prominent in recent years. This preference is based on the mathematical equivalence between the general proximal operator and the regularised…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Yanqi Cheng , Lipei Zhang , Zhenda Shen , Shujun Wang , Lequan Yu , Raymond H. Chan , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Recently, text-to-image (T2I) synthesis has undergone significant advancements, particularly with the emergence of Large Language Models (LLM) and their enhancement in Large Vision Models (LVM), greatly enhancing the instruction-following…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Weijin Cheng , Jianzhi Liu , Jiawen Deng , Fuji Ren

It is known that the minimum-mean-squared-error (MMSE) denoiser under Gaussian noise can be written as a proximal operator, which suffices for asymptotic convergence of plug-and-play (PnP) methods but does not reveal the structure of the…

Optimization and Control · Mathematics 2026-04-06 Henry Pritchard , Rahul Parhi

We present a novel compressed sensing recovery algorithm - termed Bayesian Optimal Structured Signal Approximate Message Passing (BOSSAMP) - that jointly exploits the prior distribution and the structured sparsity of a signal that shall be…

Information Theory · Computer Science 2015-08-06 Martin Mayer , Norbert Goertz

Recent score-based diffusion models (SBDMs) show promising results in unpaired image-to-image translation (I2I). However, existing methods, either energy-based or statistically-based, provide no explicit form of the interfered intermediate…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Shikun Sun , Longhui Wei , Junliang Xing , Jia Jia , Qi Tian

Score-based generative models provide state-of-the-art quality for image and audio synthesis. Sampling from these models is performed iteratively, typically employing a discretized series of noise levels and a predefined scheme. In this…

Machine Learning · Computer Science 2021-04-09 Joan Serrà , Santiago Pascual , Jordi Pons

In this paper, we study the compressed sensing reconstruction problem with generalized elastic net prior (GENP), where a sparse signal is sampled via a noisy underdetermined linear observation system, and an additional initial estimation of…

Information Theory · Computer Science 2015-02-19 Xing Wang , Jie Liang

Deep unfolding showed to be a very successful approach for accelerating and tuning classical signal processing algorithms. In this paper, we propose learned Gaussian-mixture AMP (L-GM-AMP) - a plug-and-play compressed sensing (CS) recovery…

Machine Learning · Statistics 2020-11-19 Osman Musa , Peter Jung , Giuseppe Caire

We consider the reconstruction problem of video snapshot compressive imaging (SCI), which captures high-speed videos using a low-speed 2D sensor (detector). The underlying principle of SCI is to modulate sequential high-speed frames with…

Image and Video Processing · Electrical Eng. & Systems 2021-01-14 Xin Yuan , Yang Liu , Jinli Suo , Frédo Durand , Qionghai Dai

We propose enhancements to score-based generative modeling techniques for low-latency pilot-based channel estimation in a point-to-point single-carrier multiple-input multiple-output (MIMO) wireless system. Building on recent advances in…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Florian Strasser , Marion Bäro , Wolfgang Utschick

We develop and demonstrate a trainable temporal post-processor (TPP) harnessing a simple but versatile machine learning algorithm to provide optimal processing of quantum measurement data subject to arbitrary noise processes, for the…

Quantum Physics · Physics 2024-07-30 Saeed A. Khan , Ryan Kaufman , Boris Mesits , Michael Hatridge , Hakan E. Türeci
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