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A general expression for the distortion rate function (DRF) of cyclostationary Gaussian processes in terms of their spectral properties is derived. This expression can be seen as the result of orthogonalization over the different components…

Information Theory · Computer Science 2016-08-11 Alon Kipnis , Andrea J. Goldsmith , Yonina C. Eldar

Quantized compressive sensing (QCS) deals with the problem of representing compressive signal measurements with finite precision representation, i.e., a mandatory process in any practical sensor design. To characterize the signal…

Information Theory · Computer Science 2018-05-14 Chunlei Xu , Vincent Schellekens , Laurent Jacques

A theoretical analysis, aimed at characterizing the degradation induced by the resampling and requantization processes applied to band-limited Gaussian signals with flat power spectrum, available through their digitized samples, is…

Information Theory · Computer Science 2009-08-19 Marco Lanucara , Riccardo Borghi

We address the problem of phase retrieval (PR) from quantized measurements. The goal is to reconstruct a signal from quadratic measurements encoded with a finite precision, which is indeed the case in many practical applications. We develop…

Machine Learning · Computer Science 2018-10-03 Subhadip Mukherjee , Chandra Sekhar Seelamantula

Diffusion models have emerged as preeminent contenders in the realm of generative models. Distinguished by their distinctive sequential generative processes, characterized by hundreds or even thousands of timesteps, diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haojun Sun , Chen Tang , Zhi Wang , Yuan Meng , Jingyan jiang , Xinzhu Ma , Wenwu Zhu

While it is a common knowledge that AC coefficients of Fourier-related transforms, like DCT-II of JPEG image compression, are from Laplace distribution, there was tested more general EPD (exponential power distribution) $\rho\sim…

Information Theory · Computer Science 2021-02-23 Jarek Duda

Post-training quantization (PTQ) is a practical path to deploy large diffusion models, but quantization noise can accumulate over the denoising trajectory and degrade generation quality. We propose Q-Drift, a principled sampler-side…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Sooyoung Ryu , Mathieu Salzmann , Saqib Javed

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. Recent advances using the distributed gradient…

Optimization and Control · Mathematics 2019-05-14 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

The deep layers of modern neural networks extract a rather rich set of features as an input propagates through the network. This paper sets out to harvest these rich intermediate representations for quantization with minimal accuracy loss…

Machine Learning · Computer Science 2020-03-04 Ahmed T. Elthakeb , Prannoy Pilligundla , Alex Cloninger , Hadi Esmaeilzadeh

Diffusion models have recently dominated image synthesis tasks. However, the iterative denoising process is expensive in computations at inference time, making diffusion models less practical for low-latency and scalable real-world…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Yefei He , Luping Liu , Jing Liu , Weijia Wu , Hong Zhou , Bohan Zhuang

We study the problem of efficient compression of a stochastic source of probability distributions. It can be viewed as a generalization of Shannon's source coding problem. It has relation to the theory of common randomness, as well as to…

Quantum Physics · Physics 2016-09-08 Andreas Winter

In this paper we study the problem of recovering sparse or compressible signals from uniformly quantized measurements. We present a new class of convex optimization programs, or decoders, coined Basis Pursuit DeQuantizer of moment $p$…

Optimization and Control · Mathematics 2015-03-13 Laurent Jacques , David K. Hammond , M. Jalal Fadili

Diffusion models have achieved great success in image generation tasks. However, the lengthy denoising process and complex neural networks hinder their low-latency applications in real-world scenarios. Quantization can effectively reduce…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Xuewen Liu , Zhikai Li , Junrui Xiao , Mengjuan Chen , Jianquan Li , Qingyi Gu

Generative neural image compression supports data representation at extremely low bitrate, synthesizing details at the client and consistently producing highly realistic images. By leveraging the similarities between quantization error and…

Image and Video Processing · Electrical Eng. & Systems 2025-04-04 Lucas Relic , Roberto Azevedo , Yang Zhang , Markus Gross , Christopher Schroers

The distributed subgradient method (DSG) is a widely discussed algorithm to cope with large-scale distributed optimization problems in the arising machine learning applications. Most exisiting works on DSG focus on ideal communication…

Signal Processing · Electrical Eng. & Systems 2022-08-24 Zhaoyue Xia , Jun Du , Yong Ren

While Distributional Reinforcement Learning (DRL) methods have demonstrated strong performance in online settings, its success in offline scenarios remains limited. We hypothesize that a key limitation of existing offline DRL methods lies…

Machine Learning · Computer Science 2026-01-06 Ryo Iwaki , Takayuki Osogami

Diffusionmodels(DMs)havedemonstratedremarkableachievements in synthesizing images of high fidelity and diversity. However, the extensive computational requirements and slow generative speed of diffusion models have limited their widespread…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Jiaojiao Ye , Zhen Wang , Linnan Jiang

Probability estimation is an elementary building block of every statistical data compression algorithm. In practice probability estimation is often based on relative letter frequencies which get scaled down, when their sum is too large.…

Information Theory · Computer Science 2015-01-12 Christopher Mattern

Distributional linear quadratic regulator (LQR) is a new framework that integrates the distributional reinforcement learning and classical LQR, which offers a new way to study the random return instead of the expected cost. Unlike iterative…

Optimization and Control · Mathematics 2025-10-28 Ruyi Teng , Dan Wang , Wei Chen , Yulong Gao

Utilizing low-resolution analog-to-digital converters (ADCs) in uplink massive multiple-input multiple-output (MIMO) systems is a practical solution to decrease power consumption. The performance gap between the low and high-resolution…

Information Theory · Computer Science 2023-10-05 Gökhan Yılmaz , Ali Özgür Yılmaz
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