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Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

信息论 · 计算机科学 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

In many signal processing problems, it may be fruitful to represent the signal under study in a frame. If a probabilistic approach is adopted, it becomes then necessary to estimate the hyper-parameters characterizing the probability…

统计方法学 · 统计学 2015-05-14 L. Chaâri , J. -C. Pesquet , J. -Y. Tourneret , Ph. Ciuciu , A. Benazza-Benyahia

Unsupervised optical flow estimators based on deep learning have attracted increasing attention due to the cost and difficulty of annotating for ground truth. Although performance measured by average End-Point Error (EPE) has improved over…

计算机视觉与模式识别 · 计算机科学 2022-08-05 Shuzhi Yu , Hannah Halin Kim , Shuai Yuan , Carlo Tomasi

The three-dimensional CMKF-U with only position measurements is extended to solve the nonlinear tracking problem with range-rate measurements in this paper. A pseudo measurement is constructed by the product of range and range-rate…

系统与控制 · 计算机科学 2014-12-18 Lianmeng Jiao , Quan Pan , Yan Liang , Feng Yang

The problem of estimating an unknown discrete distribution from its samples is a fundamental tenet of statistical learning. Over the past decade, it attracted significant research effort and has been solved for a variety of divergence…

机器学习 · 计算机科学 2018-10-30 Yi Hao , Alon Orlitsky , Venkatadheeraj Pichapati

The identification of parameters in mathematical models using noisy observations is a common task in uncertainty quantification. We employ the framework of Bayesian inversion: we combine monitoring and observational data with prior…

统计计算 · 统计学 2018-05-11 Jonas Latz , Iason Papaioannou , Elisabeth Ullmann

This thesis studies high-dimensional, continuous-valued pairwise Markov Random Fields. We are particularly interested in approximating pairwise densities whose logarithm belongs to a Sobolev space. For this problem we propose the method of…

统计理论 · 数学 2015-06-12 Eric Janofsky

Reconstructing high-quality images from substantially undersampled k-space data for accelerated MRI presents a challenging ill-posed inverse problem. While supervised deep learning has revolutionized this field, it relies heavily on large…

图像与视频处理 · 电气工程与系统科学 2025-12-22 Xinzhe Luo , Yingzhen Li , Chen Qin

The quantification of myocardial perfusion MRI has the potential to provide a fast, automated and user-independent assessment of myocardial ischaemia. However, due to the relatively high noise level and low temporal resolution of the…

图像与视频处理 · 电气工程与系统科学 2019-07-30 Cian M. Scannell , Piet van den Bosch , Amedeo Chiribiri , Jack Lee , Marcel Breeuwer , Mitko Veta

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

信号处理 · 电气工程与系统科学 2021-05-18 Marek W. Rupniewski

In the following article we consider approximate Bayesian parameter inference for observation driven time series models. Such statistical models appear in a wide variety of applications, including econometrics and applied mathematics. This…

统计计算 · 统计学 2013-04-01 Ajay Jasra , Nikolas Kantas , Elena Ehrlich

Label noise is increasingly prevalent in datasets acquired from noisy channels. Existing approaches that detect and remove label noise generally rely on some form of supervision, which is not scalable and error-prone. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2020-03-17 Karishma Sharma , Pinar Donmez , Enming Luo , Yan Liu , I. Zeki Yalniz

Gravitational-wave astronomers often wish to characterize the expected parameter-estimation accuracy of future observations. The Fisher matrix provides a lower bound on the spread of the maximum-likelihood estimator across noise…

广义相对论与量子宇宙学 · 物理学 2011-11-08 Michele Vallisneri

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

信号处理 · 电气工程与系统科学 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti

We propose a multilevel Markov chain Monte Carlo (MCMC) method for the Bayesian inference of random field parameters in PDEs using high-resolution data. Compared to existing multilevel MCMC methods, we additionally consider level-dependent…

数值分析 · 数学 2025-08-19 Pieter Vanmechelen , Geert Lombaert , Giovanni Samaey

This paper deals with the problem of reconstructing a band-limited signal when a finite subset of its samples and of its derivative are missing. The technique used, due to P.J.S.G. Ferreira, is based on the use of a particular frame for…

泛函分析 · 数学 2010-09-13 Paola Brianzi , Vincenza Del Prete

Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

应用统计 · 统计学 2021-07-28 Kai Zhou , Jiong Tang

Model-independent searches in particle physics aim at completing our knowledge of the universe by looking for new possible particles not predicted by the current theories. Such particles, referred to as signal, are expected to behave as a…

应用统计 · 统计学 2019-05-31 Alessandro Casa , Giovanna Menardi

Fast-sampled models are essential for control design, e.g., to address intersample behavior. The aim of this paper is to develop a non-parametric identification technique for fast-sampled models of systems that have relevant dynamics and…

系统与控制 · 电气工程与系统科学 2023-06-08 Max van Haren , Leonid Mirkin , Lennart Blanken , Tom Oomen

For large model spaces, the potential entrapment of Markov chain Monte Carlo (MCMC) based methods with spike-and-slab priors poses significant challenges in posterior computation in regression models. On the other hand, maximum a posteriori…

统计方法学 · 统计学 2026-02-25 Shamriddha De , Joyee Ghosh