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There has been tremendous progress in the physical realization of quantum computing hardware in recent times, bringing us closer than ever before to realizing the promise of quantum computing. However, noise continues to pose a crucial…

This paper investigates the active sampling for estimation of approximately bandlimited graph signals. With the assistance of a graph filter, an approximately bandlimited graph signal can be formulated by a Gaussian random field over the…

信号处理 · 电气工程与系统科学 2019-02-19 Sijie Lin , Xuan Xie , Hui Feng , Bo Hu

The latest research of the proportionality of atomic weights of chemical elements made it possible to obtain 3 x 3 matrices for the calculation of information coefficients of proportionality Ip that can be used for 3D modeling of the…

综合物理 · 物理学 2012-07-20 Mikhail M. Labushev

Statistical modeling of data sets by neural-network techniques is offered as an alternative to traditional semiempirical approaches to global modeling of nuclear properties. New results are presented to support the position that such novel…

核理论 · 物理学 2017-08-23 J. W. Clark , E. Mavrommatis , S. Athanassopoulos , A. Dakos , K. Gernoth

We consider a group synchronization problem with multiple frequencies which involves observing pairwise relative measurements of group elements on multiple frequency channels, corrupted by Gaussian noise. We study the computational phase…

统计理论 · 数学 2024-06-06 Anastasia Kireeva , Afonso S. Bandeira , Dmitriy Kunisky

This article addresses the measurement of the power spectrum of red noise processes at the lowest frequencies, where the minimum acquisition time is so long that it is impossible to average on a sequence of data record. Therefore, averaging…

数据分析、统计与概率 · 物理学 2022-06-30 Antoine Baudiquez , Éric Lantz , Enrico Rubiola , François Vernotte

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

定量方法 · 定量生物学 2010-01-20 Tina Toni , Michael P. H. Stumpf

This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constituents of microstructured multiphase materials can lead to…

数值分析 · 数学 2020-01-29 Daniel Peterseim , Barbara Verfürth

We describe how to use the fidelity decay as a tool to characterize the errors affecting a quantum information processor through a noise generator $G_{\tau}$. For weak noise, the initial decay rate of the fidelity proves to be a simple way…

量子物理 · 物理学 2015-06-26 Benjamin Lévi , Cecilia C. López , Joseph Emerson , D. G. Cory

In statistical modeling of computer experiments sometimes prior information is available about the underlying function. For example, the physical system simulated by the computer code may be known to be monotone with respect to some or all…

统计方法学 · 统计学 2014-06-17 Shirin Golchi , Derek R. Bingham , Hugh Chipman , David A. Campbell

Estimating the governing equation parameter values is essential for integrating experimental data with scientific theory to understand, validate, and predict the dynamics of complex systems. In this work, we propose a new method for…

动力系统 · 数学 2025-06-27 Cristian López , Keegan J. Moore

This technical note is on digital filters for the high-fidelity estimation of a sinusoidal signal's frequency in the presence of additive noise. The complex noise is assumed to be white (i.e. uncorrelated) however it need not be Gaussian.…

信号处理 · 电气工程与系统科学 2023-08-15 Hugh Lachlan Kennedy

We report on an empirical study of the main strategies for quantile regression in the context of stochastic computer experiments. To ensure adequate diversity, six metamodels are presented, divided into three categories based on order…

机器学习 · 统计学 2020-01-22 Léonard Torossian , Victor Picheny , Robert Faivre , Aurélien Garivier

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

最优化与控制 · 数学 2018-09-05 Marco Lauricella , Lorenzo Fagiano

We consider the problem of imaging a crack network embedded in some homogeneous background from measured multi-static far field data generated by acoustic plane waves. We propose two novel approaches that can be seen as extensions of linear…

偏微分方程分析 · 数学 2020-06-19 Lorenzo Audibert , Lucas Chesnel , Houssem Haddar , Kevish Napal

Explicit quantification of uncertainty in engineering simulations is being increasingly used to inform robust and reliable design practices. In the aerospace industry, computationally-feasible analyses for design optimization purposes often…

流体动力学 · 物理学 2019-11-13 Jayant Mukhopadhaya , Brian T. Whitehead , John F. Quindlen , Juan J. Alonso

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

统计方法学 · 统计学 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

Line-by-line calculations are becoming the standard procedure for carrying spectral simulations. However, it is important to insure the accuracy of such spectral simulations through the choice of adapted models for the simulation of key…

光学 · 物理学 2007-05-23 M. Lino da Silva

The characteristics of an x-ray spectrum can greatly influence imaging and related tasks. In practice, due to the pile-up effect of the detector, it's difficult to directly measure the spectrum of a CT scanner using an energy resolved…

医学物理 · 物理学 2015-03-09 Wei Zhao , Kai Niu , Sebastian Schafer , Kevin Royalty

Simulation-based inference methods that feature correct conditional coverage of confidence sets based on observations that have been compressed to a scalar test statistic require accurate modeling of either the p-value function or the…

机器学习 · 统计学 2025-08-18 Ali Al Kadhim , Harrison B. Prosper