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Sampling errors in nested sampling parameter estimation differ from those in Bayesian evidence calculation, but have been little studied in the literature. This paper provides the first explanation of the two main sources of sampling errors…

统计方法学 · 统计学 2018-12-11 Edward Higson , Will Handley , Mike Hobson , Anthony Lasenby

In this paper, we study the problem of parameter estimation in a sensor network, where the measurements and updates of some sensors might be arbitrarily manipulated by adversaries. Despite the presence of such misbehaviors, normally…

系统与控制 · 电气工程与系统科学 2023-06-06 Jiaqi Yan , Kuo Li , Hideaki Ishii

The estimation of signal parameters using quantized data is a recurrent problem in electrical engineering. As an example, this includes the estimation of a noisy constant value and of the parameters of a sinewave, that is, its amplitude,…

信号处理 · 电气工程与系统科学 2018-04-30 Antonio Moschitta , Johan Schoukens , Paolo Carbone

This paper studies the problem of parameter estimation in resonant, acoustic fluid-structure interaction problems over a wide frequency range. Problems with multiple resonances are known to be subjected to local minima, which represents a…

计算物理 · 物理学 2019-03-06 Peter Göransson , Jacques Cuenca , Timo Lähivaara

We consider high-dimensional estimation problems where the number of parameters diverges with the sample size. General conditions are established for consistency, uniqueness, and asymptotic normality in both unpenalized and penalized…

统计理论 · 数学 2025-04-08 Jana Gauss , Thomas Nagler

One of the major problems in modeling natural signals is that signals with very similar structure may locally have completely different measurements, e.g., images taken under different illumination conditions, or the speech signal captured…

计算机视觉与模式识别 · 计算机科学 2012-07-19 Nebojsa Jojic , Yaron Caspi , Manuel Reyes-Gomez

In this paper, we have developed a new class of sampling schemes for estimating parameters of binomial and Poisson distributions. Without any information of the unknown parameters, our sampling schemes rigorously guarantee prescribed levels…

统计理论 · 数学 2009-10-11 Xinjia Chen

This paper proposes a new Bayesian strategy for the smooth estimation of altimetric parameters. The altimetric signal is assumed to be corrupted by a thermal and speckle noise distributed according to an independent and non identically…

应用统计 · 统计学 2016-04-20 Abderrahim Halimi , Corinne Mailhes , Jean-Yves Tourneret , Hichem Snoussi

We consider the problem of estimating means of two Gaussians in a 2-Gaussian mixture, which is not balanced and is corrupted by noise of an arbitrary distribution. We present a robust algorithm to estimate the parameters, together with…

统计理论 · 数学 2019-07-23 Jing Xu , Jakub Marecek

Many high-dimensional data sets suffer from hidden confounding which affects both the predictors and the response of interest. In such situations, standard regression methods or algorithms lead to biased estimates. This paper substantially…

统计方法学 · 统计学 2024-12-17 Cyrill Scheidegger , Zijian Guo , Peter Bühlmann

In various capacities of statistical signal processing two-dimensional (2-D) chirp models have been considered significantly, particularly in image processing$-$ to model gray-scale and texture images, magnetic resonance imaging, optical…

统计方法学 · 统计学 2019-02-14 Rhythm Grover , Debasis Kundu , Amit Mitra

In the current paper, we have developed an analytical apparatus, allowing to calculate the phase error, produced by miscalibration of modulation parameters. The case of harmonic modulation is considered, the analysis is performed for cases…

仪器与探测器 · 物理学 2019-05-01 Leonid Liokumovich , Konstantin Muravyov , Philipp Skliarov , Nikolai Ushakov

We propose a chirp-like signal model as an alternative to a chirp model and a generalisation of the sinusoidal model, which is a fundamental model in the statistical signal processing literature. It is observed that the proposed model can…

统计方法学 · 统计学 2018-05-17 Rhythm Grover , Debasis Kundu , Amit Mitra

Audio signal processing algorithms are frequently assessed through subjective listening tests in which participants directly score degraded signals on a unidimensional numerical scale. However, this approach is susceptible to…

音频与语音处理 · 电气工程与系统科学 2025-08-26 Jack Webb , Lorenzo Picinali

We consider the problem of estimating the frequency components of a mixture of s complex sinusoids from a random subset of n regularly spaced samples. Unlike previous work in compressed sensing, the frequencies are not assumed to lie on a…

信息论 · 计算机科学 2013-07-12 Gongguo Tang , Badri Narayan Bhaskar , Parikshit Shah , Benjamin Recht

In this paper, we present a wideband subspace estimation method that characterizes the signal subspace through its orthogonal projection matrix at each frequency. Fundamentally, the method models this projection matrix as a function of…

信息论 · 计算机科学 2021-11-29 J. Selva

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

统计理论 · 数学 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan

We consider high-dimensional inference when the assumed linear model is misspecified. We describe some correct interpretations and corresponding sufficient assumptions for valid asymptotic inference of the model parameters, which still have…

统计方法学 · 统计学 2015-08-20 Peter Bühlmann , Sara van de Geer

We study the performance of a Bayesian statistician who estimates a rank-one signal corrupted by non-symmetric rotationally invariant noise with a generic distribution of singular values. As the signal-to-noise ratio and the noise structure…

信息论 · 计算机科学 2023-02-09 Teng Fu , YuHao Liu , Jean Barbier , Marco Mondelli , ShanSuo Liang , TianQi Hou

In machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

机器学习 · 统计学 2017-10-18 Sheng Chen , Arindam Banerjee