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This paper introduces an effcient class of adaptive stencil extension reconstruction methods based on a discontinuity feedback factor, addressing the challenges of weak robustness and high computational cost in high-order schemes,…

Numerical Analysis · Mathematics 2024-10-10 Hong Zhang , Yue Zhao , Xing Ji , Kun Xu

The recovery of Dirac impulses, or spikes, from filtered measurements is a classical problem in signal processing. As the spikes lie in the continuous domain while measurements are discrete, this task is known as super-resolution or…

Information Theory · Computer Science 2025-10-21 Ruiming Guo , Ayush Bhandari

The discrete-time Wiener phase noise channel with an integrate-and-dump multi-sample receiver is studied. A novel outer bound on the capacity with an average input power constraint is derived as a function of the oversampling factor. This…

Information Theory · Computer Science 2017-05-24 Luca Barletta , Stefano Rini

While conditional diffusion models are known to have good coverage of the data distribution, they still face limitations in output diversity, particularly when sampled with a high classifier-free guidance scale for optimal image quality or…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Seyedmorteza Sadat , Jakob Buhmann , Derek Bradley , Otmar Hilliges , Romann M. Weber

This study presents a sampling-based method to guarantee robust stability of general control systems with uncertainty. The method allows the system dynamics and controllers to be represented by various data-driven models, such as Gaussian…

Optimization and Control · Mathematics 2025-04-11 Yuji Ito , Kenji Fujimoto

Two-channel modulo analog-to-digital converters (ADCs) enable high-dynamic-range signal sensing at the Nyquist rate per channel, but existing designs quantise both channel outputs independently, incurring redundant bitrate costs. This paper…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Wenyi Yan , Zeyuan Li , Lu Gan , Honqing Liu , Guoquan Li

This paper investigates total variation minimization in one spatial dimension for the recovery of gradient-sparse signals from undersampled Gaussian measurements. Recently established bounds for the required sampling rate state that uniform…

Information Theory · Computer Science 2020-09-09 Martin Genzel , Maximilian März , Robert Seidel

With the increasing number of compute components, failures in future exa-scale computer systems are expected to become more frequent. This motivates the study of novel resilience techniques. Here, we extend a recently proposed…

Mathematical Software · Computer Science 2018-04-18 Markus Huber , Ulrich Rüde , Barbara Wohlmuth

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

We address the problem of recovering signals from samples taken at their rate of innovation. Our only assumption is that the sampling system is such that the parameters defining the signal can be stably determined from the samples, a…

Information Theory · Computer Science 2015-05-28 Tomer Michaeli , Yonina C. Eldar

Conventional sparse phase retrieval schemes can recover sparse signals from the magnitude of linear measurements only up to a global phase ambiguity. This work proposes a novel approach that instead utilizes the magnitude of affine…

Information Theory · Computer Science 2021-05-25 Ming-Hsun Yang , Y. -W. Peter Hong , Jwo-Yuh Wu

Modulo sampling (MS) has been recently introduced to enhance the dynamic range of conventional ADCs by applying a modulo operator before sampling. This paper examines the identifiability of a measurement model where measurements are taken…

Information Theory · Computer Science 2024-08-07 Qi Zhang , Jiang Zhu , Fengzhong Qu , Zheng Zhu , De Wen Soh

We derive fundamental sampling bounds for smooth signals in continuous settings without sparsity assumptions. By introducing the Fourier ratio as a measure of spectral compressibility induced by smoothness, we obtain explicit, deterministic…

Classical Analysis and ODEs · Mathematics 2026-01-27 A. Iosevich , E. Palsson , A. Yavicoli

The problem of sampling a discrete-time sequence of spatially bandlimited fields with a bounded dynamic range, in a distributed, communication-constrained, processing environment is addressed. A central unit, having access to the data…

Information Theory · Computer Science 2016-11-18 Animesh Kumar , Prakash Ishwar , Kannan Ramchandran

In this paper we study a realistic setup for phase retrieval, where the signal of interest is modulated or masked and then for each modulation or mask a diffraction pattern is collected, producing a coded diffraction pattern (CDP) [CLM13].…

Information Theory · Computer Science 2014-03-25 Youssef Mroueh

In a growing number of applications, there is a need to digitize signals whose spectral characteristics are challenging for traditional Analog-to-Digital Converters (ADCs). Examples, among others, include systems where the ADC must acquire…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Amir Weiss , Everest Huang , Or Ordentlich , Gregory W. Wornell

This paper studies sequential methods for recovery of sparse signals in high dimensions. When compared to fixed sample size procedures, in the sparse setting, sequential methods can result in a large reduction in the number of samples…

Information Theory · Computer Science 2014-10-07 Matthew L. Malloy , Robert Nowak

Guided diffusion is a technique for conditioning the output of a diffusion model at sampling time without retraining the network for each specific task. One drawback of diffusion models, however, is their slow sampling process. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Suttisak Wizadwongsa , Supasorn Suwajanakorn

An alternative to conventional uniform sampling is that of time encoding, which converts continuous-time signals into streams of trigger times. This gives rise to Event-Driven Sampling (EDS) models. The data-driven nature of EDS acquisition…

Information Theory · Computer Science 2022-10-11 Dorian Florescu , Ayush Bhandari

This study introduces a short-time Fourier transform-based method for reconstructing signals encoded using modulo analog-to-digital converters with 1-bit folding information. In contrast to existing Fourier-based reconstruction approaches…

Signal Processing · Electrical Eng. & Systems 2026-01-14 Neil Irwin Bernardo