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Quantization is an essential step in digitizing signals, and, therefore, an indispensable component of any modern acquisition system. This book chapter explores the interaction of quantization and compressive sensing and examines practical…

Information Theory · Computer Science 2014-11-26 Petros T. Boufounos , Laurent Jacques , Felix Krahmer , Rayan Saab

This paper considers the problem of estimating the cumulative distribution function and probability density function of a random variable using data quantized by uniform and non-uniform quantizers. A simple estimator is proposed based on…

Signal Processing · Electrical Eng. & Systems 2018-05-03 Paolo Carbone , Johan Schoukens , István Kollár , Antonio Moschitta

Although quantization has emerged as a promising approach to reducing computational complexity across various high-level vision tasks, it inevitably leads to accuracy loss in image super-resolution (SR) networks. This is due to the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Cheeun Hong , Kyoung Mu Lee

Compressed sensing, allows to acquire compressible signals with a small number of measurements. In applications, a hardware implementation often requires a calibration as the sensing process is not perfectly known. Blind calibration, that…

Statistical Mechanics · Physics 2021-03-22 Marylou Gabrié , Jean Barbier , Florent Krzakala , Lenka Zdeborová

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

Many modern distributed real-time signal sensing/monitoring systems require quantization for efficient signal representation. These distributed sensors often have inherent computational and energy limitations. Motivated by this concern, we…

Signal Processing · Electrical Eng. & Systems 2019-02-19 Vijay Anavangot , Animesh Kumar

In the paper, we consider the line spectral estimation problem in an unlimited sensing framework (USF), where a modulo analog-to-digital converter (ADC) is employed to fold the input signal back into a bounded interval before quantization.…

Signal Processing · Electrical Eng. & Systems 2024-08-14 Hongwei Wang , Jun Fang , Hongbin Li , Geert Leus

Existing deep learning methods have made significant progress in gait representation learning. Quantization can facilitate the application of gait models as a model-agnostic general compression technique. Typically, appearance-based models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 S. Tian , H. Gao , G. Hong , S. Wang , J. Wang , X. Yu , S. Zhang

Optimal quantization for mixed distributions has emerged as a compelling area of study. In this work, we have focused on a mixed distribution formed from two uniform distributions with partially overlapping supports. For this class of…

Uncertainty quantification in automated image analysis is highly desired in many applications. Typically, machine learning models in classification or segmentation are only developed to provide binary answers; however, quantifying the…

Quantum annealing (QA) is a promising approach for solving combinatorial optimization problems; however, it is known to exhibit unfair sampling, in which degenerate ground states are not sampled with equal probability even for sufficiently…

Quantum Physics · Physics 2026-04-14 Shunta Ide , Shu Tanaka

The rapid growth of Large Language Models (LLMs) intensifies the need for effective compression, with weight quantization being the most widely adopted technique. Standard uniform quantizers assume that parameters are evenly distributed, an…

Machine Learning · Computer Science 2026-02-03 Arthur Negrão , Pedro Silva , Vander L. S. Freitas , Gladston Moreira , Eduardo Luz

Quantizing deep networks with adaptive bit-widths is a promising technique for efficient inference across many devices and resource constraints. In contrast to static methods that repeat the quantization process and train different models…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Ximeng Sun , Rameswar Panda , Chun-Fu Chen , Naigang Wang , Bowen Pan , Kailash Gopalakrishnan , Aude Oliva , Rogerio Feris , Kate Saenko

The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus approximation of a continuous probability…

Probability · Mathematics 2021-01-27 Mrinal Kanti Roychowdhury

The Box-Muller transform is a widely used method to generate Gaussian samples from uniform samples. Quantum amplitude encoding methods encode the multi-variate normal distribution in the amplitudes of a quantum state. This work presents the…

Quantum Physics · Physics 2026-01-21 Dinh-Long Vu , Hitomi Mori , Patrick Rebentrost

Beamforming techniques utilized either at the transmitter or the receiver terminals have achieved superior quality-of-service performances from both the multi-antenna wireless communications systems, communications intelligence and radar…

Signal Processing · Electrical Eng. & Systems 2023-06-09 M. Yaser Yağan , Ahmet F. Coşkun , Ali E. Pusane

High-energy physics is replete with hard computational problems and it is one of the areas where quantum computing could be used to speed up calculations. We present an implementation of likelihood-based regularized unfolding on a quantum…

Data Analysis, Statistics and Probability · Physics 2020-10-09 Kyle Cormier , Riccardo Di Sipio , Peter Wittek

A probabilistic model is said to be calibrated if its predicted probabilities match the corresponding empirical frequencies. Calibration is important for uncertainty quantification and decision making in safety-critical applications. While…

Machine Learning · Computer Science 2020-07-01 Anusri Pampari , Stefano Ermon

Collider data must be corrected for detector effects ("unfolded") to be compared with many theoretical calculations and measurements from other experiments. Unfolding is traditionally done for individual, binned observables without…

High Energy Physics - Phenomenology · Physics 2020-05-13 Anders Andreassen , Patrick T. Komiske , Eric M. Metodiev , Benjamin Nachman , Jesse Thaler