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This paper analyzes the impact of spatially correlated additive noise on the minimum mean-square error (MMSE) estimation of multiple-input multiple-output (MIMO) channels from one-bit quantized observations. Although additive noise can be…

信号处理 · 电气工程与系统科学 2026-01-21 Minhua Ding , Prathapasinghe Dharmawansa , Italo Atzeni , Antti Tölli

Existing convex relaxation-based approaches to reconstruction in compressed sensing assume that noise in the measurements is independent of the signal of interest. We consider the case of noise being linearly correlated with the signal and…

信息论 · 计算机科学 2014-01-03 Thomas Arildsen , Torben Larsen

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

适应与自组织系统 · 物理学 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

Objective evaluation of quantitative imaging (QI) methods with patient data is highly desirable, but is hindered by the lack or unreliability of an available gold standard. To address this issue, techniques that can evaluate QI methods…

医学物理 · 物理学 2022-03-07 Ziping Liu , Zekun Li , Joyce C. Mhlanga , Barry A. Siegel , Abhinav K. Jha

We study instrumental variable regression in data rich environments. The goal is to estimate a linear model from many noisy covariates and many noisy instruments. Our key assumption is that true covariates and true instruments are…

计量经济学 · 经济学 2025-12-30 Isaac Meza , Rahul Singh

The sampling, quantization, and estimation of a bounded dynamic-range bandlimited signal affected by additive independent Gaussian noise is studied in this work. For bandlimited signals, the distortion due to additive independent Gaussian…

信息论 · 计算机科学 2012-11-29 Animesh Kumar , Vinod M. Prabhakaran

The performance of Bayesian detection of Gaussian signals using noisy observations is investigated via the error exponent for the average error probability. Under unknown signal correlation structure or limited processing capability it is…

信息论 · 计算机科学 2009-11-11 Youngchul Sung , Lang Tong , H. Vincent Poor

Noise in various interferometer systems can sometimes couple non-linearly to create excess noise in the gravitational wave (GW) strain data. Third-order statistics, such as bicoherence and biphase, can identify these couplings and help…

广义相对论与量子宇宙学 · 物理学 2024-07-29 Bernard Hall , Sudhagar Suyamprakasam , Nairwita Mazumder , Anupreeta More , Sukanta Bose

Cosmological observables rely heavily on summary statistics such as two-point correlation functions. In many practical cases (e.g. the weak-lensing cosmic shear), those correlation functions are estimated from a finite, discrete sample of…

宇宙学与河外天体物理 · 物理学 2025-06-24 Pierre Fleury

Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

数理金融 · 定量金融 2024-02-02 Reza Salimi , Kamran Pakizeh

We present a simple variant of the Gaussian mechanism for answering differentially private queries when the sensitivity space has a certain common structure. Our motivating problem is the fundamental task of answering $d$ counting queries…

密码学与安全 · 计算机科学 2025-03-19 Christian Janos Lebeda

We study the sensitivity to noise of |permanent(X)|^2 for random real and complex n x n Gaussian matrices X, and show that asymptotically the correlation between the noisy and noiseless outcomes tends to zero when the noise level is…

量子物理 · 物理学 2014-11-11 Gil Kalai , Guy Kindler

Uncertainty quantification is vital for decision-making and risk assessment in machine learning. Mean-variance regression models, which predict both a mean and residual noise for each data point, provide a simple approach to uncertainty…

机器学习 · 统计学 2025-12-01 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt

Assessing agreement between two instruments is crucial in clinical studies to evaluate the similarity between two methods measuring the same subjects. This paper introduces a novel coefficient, termed rho1, to measure agreement between…

统计方法学 · 统计学 2025-07-11 Ronny Vallejos , Felipe Osorio , Clemente Ferrer

Quantum noise is conventionally viewed as a fundamental obstacle in near-term quantum computing, motivating extensive error correction and mitigation strategies. We present numerical evidence that challenges this consensus. Through…

量子物理 · 物理学 2026-01-21 Linghua Zhu , Yulong Dong , Ziyu Zhang , Xiaosong Li

Subtractive dither is a powerful method for removing the signal dependence of quantization noise for coarsely-quantized signals. However, estimation from dithered measurements often naively applies the sample mean or midrange, even when the…

应用统计 · 统计学 2019-06-26 Joshua Rapp , Robin M. A. Dawson , Vivek K Goyal

Neural correlations play a critical role in sensory information coding. They are of two kinds: signal correlations, when neurons have overlapping sensitivities, and noise correlations from network effects and shared noise. In experiments…

神经元与认知 · 定量生物学 2025-07-03 Gabriel Mahuas , Thomas Buffet , Olivier Marre , Ulisse Ferrari , Thierry Mora

The average symbol error probability (SEP) of a phase-quantized single-input multiple-output system with M-ary phase-shift keying modulation and maximum ratio combining (MRC) is analyzed under correlated Rayleigh fading and additive white…

信号处理 · 电气工程与系统科学 2026-04-30 Amila Ravinath , Bikshapathi Gouda , Italo Atzeni , Antti Tölli

For finite random systems, it is possible to define two types of variances (noises). It is demonstrated that their ratio is useful in calculating the correlation length of an infinite and rather general random system, as a function of…

统计力学 · 物理学 2021-08-25 Avishay Efrat

In this paper, adaptive estimation based on noisy quantized observations is studied. A low complexity adaptive algorithm using a quantizer with adjustable input gain and offset is presented. Three possible scalar models for the parameter to…

信息论 · 计算机科学 2012-10-15 Rodrigo Cabral Farias , Jean-Marc Brossier