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A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Multimedia · Computer Science 2010-11-12 Ali Ayremlou , Mohammad Tofighi , Farokh Marvasti

Quickest change detection (QCD) is a fundamental problem in many applications. Given a sequence of measurements that exhibits two different distributions around a certain flipping point, the goal is to detect the change in distribution…

Information Theory · Computer Science 2020-01-23 Ahmed Badawy , Ahmed El Shafie , Tamer Khattab

Phase-insensitive optical amplifiers uniformly amplify each quadrature of an input field and are of both fundamental and technological importance. We find the quantum limit on the precision of estimating the gain of a quantum-limited…

Quantum Physics · Physics 2022-05-09 Ranjith Nair , Guo Yao Tham , Mile Gu

This paper investigates the use of stratified sampling as a variance reduction technique for approximating integrals over large dimensional spaces. The accuracy of this method critically depends on the choice of the space partition, the…

Probability · Mathematics 2009-09-15 Pierre Etoré , Gersende Fort , Benjamin Jourdain , Eric Moulines

Quantum key distribution (QKD) is a quantum-proof key-exchange scheme which is fast approaching the communication industry. An essential component in QKD is the information reconciliation step, which is used for correcting the…

Quantum Physics · Physics 2019-02-26 E. O. Kiktenko , A. S. Trushechkin , C. C. W. Lim , Y. V. Kurochkin , A. K. Fedorov

Systems that capture and process analog signals must first acquire them through an analog-to-digital converter. While subsequent digital processing can remove statistical correlations present in the acquired data, the dynamic range of the…

Information Theory · Computer Science 2019-01-30 Or Ordentlich , Gizem Tabak , Pavan Kumar Hanumolu , Andrew C. Singer , Gregory W. Wornell

In this paper, we address the design of codes which achieve modulation diversity in block fading single-input single-output (SISO) channels with signal quantization at receiver and low-complexity decoding. With an unquantized receiver,…

Information Theory · Computer Science 2015-03-19 Saif Khan Mohammed , Emanuele Viterbo , Yi Hong , Ananthanarayanan Chockalingam

We address the problem of blind gain and phase calibration of a sensor array from ambient noise. The key motivation is to ease the calibration process by avoiding a complex procedure setup. We show that computing the sample covariance…

Instrumentation and Detectors · Physics 2023-03-22 Charles Vanwynsberghe , Simon Bouley , Jérôme Antoni

Addressing real-world optimization problems becomes particularly challenging when analytic objective functions or constraints are unavailable. While numerous studies have addressed the issue of unknown objectives, limited research has…

Despite the attempts to apply a quantum annealer to Boltzmann sampling, it is still impossible to perform accurate sampling at arbitrary temperatures. Conventional distribution correction methods such as importance sampling and resampling…

Statistical Mechanics · Physics 2026-04-30 Ryosuke Shibukawa , Ryo Tamura , Koji Tsuda

In this work we address the problem of blindly reconstructing compressively sensed signals by exploiting the co-sparse analysis model. In the analysis model it is assumed that a signal multiplied by an analysis operator results in a sparse…

Information Theory · Computer Science 2013-03-27 Julian Wörmann , Simon Hawe , Martin Kleinsteuber

Masked Diffusion Models (MDMs) enable flexible decoding orders, yet existing samplers remain largely greedy, selecting locally certain tokens without accounting for their downstream effects. We show that this myopia can increase cumulative…

Computation and Language · Computer Science 2026-05-25 Kaisen Yang , Jayden Teoh , Kaicheng Yang , Yitong Zhang , Alex Lamb

Multifidelity uncertainty quantification (MF UQ) sampling approaches have been shown to significantly reduce the variance of statistical estimators while preserving the bias of the highest-fidelity model, provided that the low-fidelity…

Data Analysis, Statistics and Probability · Physics 2023-08-16 Xiaoshu Zeng , Gianluca Geraci , Michael S. Eldred , John D. Jakeman , Alex A. Gorodetsky , Roger Ghanem

Coping with noise in quantum computation poses significant challenges due to its unpredictable nature and the complexities of accurate modeling. This paper presents noise-adaptive folding, a technique that enhances zero-noise extrapolation…

Quantum Physics · Physics 2025-05-08 Kathrin F. Koenig , Finn Reinecke , Thomas Wellens

In this paper, we consider an image coding process consisting of the following four steps: a direct transformation, a direct quantization, an inverse quantization, and an inverse transformation, where Hadamard transforms are used for the…

Combinatorics · Mathematics 2026-04-10 Matvei Kotov , Lorenzo Ciccarelli

We propose a hybrid quantum approach to threshold and binarize a grayscale image through unsharp measurements (UM) relying on image histogram. Generally, the histograms are characterized by multiple overlapping normal distributions…

Quantum Physics · Physics 2024-01-02 Ayan Barui , Mayukha Pal , Prasanta K. Panigrahi

In partial differential equations-based (PDE-based) inverse problems with many measurements, many large-scale discretized PDEs must be solved for each evaluation of the misfit or objective function. In the nonlinear case, evaluating the…

Numerical Analysis · Mathematics 2018-07-18 Selin Aslan , Eric de Sturler , Misha E. Kilmer

Quantization has proven effective in high-resolution and large-scale simulations, which benefit from bit-level memory saving. However, identifying a quantization scheme that meets the requirement of both precision and memory efficiency…

Graphics · Computer Science 2022-07-15 Jiafeng Liu , Haoyang Shi , Siyuan Zhang , Yin Yang , Chongyang Ma , Weiwei Xu

Quantization has become a predominant approach for model compression, enabling deployment of large models trained on GPUs onto smaller form-factor devices for inference. Quantization-aware training (QAT) optimizes model parameters with…

Machine Learning · Computer Science 2022-12-13 Zheng Wang , Juncheng B Li , Shuhui Qu , Florian Metze , Emma Strubell

Deep unfolding is a method of growing popularity that fuses iterative optimization algorithms with tools from neural networks to efficiently solve a range of tasks in machine learning, signal and image processing, and communication systems.…

Signal Processing · Electrical Eng. & Systems 2019-10-09 Alexios Balatsoukas-Stimming , Christoph Studer