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The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

信息论 · 计算机科学 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao

Damped sinusoidal oscillations are widely observed in many physical systems, and their analysis provides access to underlying physical properties. However, parameter estimation becomes difficult when the signal decays rapidly, multiple…

机器学习 · 计算机科学 2026-04-07 Momoka Iida , Hayato Motohashi , Hirotaka Takahashi

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

信息论 · 计算机科学 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

This article describes a robust algorithm to estimate a conditional probability density f(t|x) as a non-parametric smooth regression function. It is based on a neural network and the Bayesian interpretation of the network output as a…

数据分析、统计与概率 · 物理学 2007-05-23 Michael Feindt

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

统计方法学 · 统计学 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

The non-uniform surface temperature distribution of rotating active stars is routinely mapped with the Doppler Imaging technique. Inhomogeneities in the surface produce features in high-resolution spectroscopic observations that shift in…

天体物理仪器与方法 · 物理学 2022-02-23 A. Asensio Ramos , C. Diaz Baso , O. Kochukhov

We study the problem of parameter estimation for a univariate discretely observed ergodic diffusion process given as a solution to a stochastic differential equation. The estimation procedure we propose consists of two steps. In the first…

统计理论 · 数学 2018-04-17 Shota Gugushvili , Peter Spreij

In wavelet shrinkage and thresholding, most of the standard techniques do not consider information that wavelet coefficients might be bounded, although information about bounded energy in signals can be readily available. To address this,…

统计方法学 · 统计学 2020-11-12 Alex Rodrigo dos Santos Sousa , Nancy Lopes Garcia , Branislav Vidakovic

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

多智能体系统 · 计算机科学 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

Consider the problem of estimating parameters $X^n \in \mathbb{R}^n $, generated by a stationary process, from $m$ response variables $Y^m = AX^n+Z^m$, under the assumption that the distribution of $X^n$ is known. This is the most general…

信息论 · 计算机科学 2017-04-10 Shirin Jalali , Arian Maleki

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

最优化与控制 · 数学 2021-02-02 Zhi Li , Wei Shi , Ming Yan

In this computational paper, we perform sensitivity analysis of long-time (or ensemble) averages in the chaotic regime using the shadowing algorithm. We introduce automatic differentiation to eliminate the tangent/adjoint equation solvers…

动力系统 · 数学 2020-11-18 Nisha Chandramoorthy , Luca Magri , Qiqi Wang

In wave propagation theories, many problems of multi-sensor systems utilize time delay in their solution in signal processing. This technique finds great utility in seismic exploration and static correction (low-velocity weathering), which…

计算物理 · 物理学 2018-01-25 Ashraf H. Yahia , El-Sayed El-Dahshan , Albert K. Guirguis

Bayesian methods for low-rank matrix completion with noise have been shown to be very efficient computationally. While the behaviour of penalized minimization methods is well understood both from the theoretical and computational points of…

统计理论 · 数学 2015-04-08 The Tien Mai , Pierre Alquier

Posterior sampling with the spike-and-slab prior [MB88], a popular multimodal distribution used to model uncertainty in variable selection, is considered the theoretical gold standard method for Bayesian sparse linear regression [CPS09,…

机器学习 · 统计学 2025-03-05 Syamantak Kumar , Purnamrita Sarkar , Kevin Tian , Yusong Zhu

Many dynamical systems are difficult or impossible to model using high fidelity physics based models. Consequently, researchers are relying more on data driven models to make predictions and forecasts. Based on limited training data,…

混沌动力学 · 物理学 2025-04-09 Max M. Chumley , Firas A. Khasawneh

Noise is one of the primary sources of interference in seismic exploration. Many authors have proposed various methods to remove noise from seismic data; however, in the face of strong noise conditions, satisfactory results are often not…

地球物理 · 物理学 2024-04-04 Junheng Peng , Yong Li , Yingtian Liu , Zhangquan Liao

This paper presents an algorithm for iterative joint channel parameter (carrier phase, Doppler shift and Doppler rate) estimation and decoding of transmission over channels affected by Doppler shift and Doppler rate using a distributed…

信息论 · 计算机科学 2022-01-25 Ahsan Waqas , Khoa Nguyen , Gottfried Lechner , Terence Chan

Determining the adsorption isotherms is an issue of significant importance in preparative chromatography. A modern technique for estimating adsorption isotherms is to solve an inverse problem so that the simulated batch separation coincides…

应用统计 · 统计学 2022-11-24 Jiaji Su , Zhigang Yao , Cheng Li , Ye Zhang

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren
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