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Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

综合数学 · 数学 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

统计方法学 · 统计学 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Signal-to-noise ratio (SNR) statistics play a central role in many applications. A common situation where SNR is studied is when a continuous time signal is sampled at a fixed frequency with some noise in the background. While estimation…

统计方法学 · 统计学 2021-11-05 Francesco Giordano , Pietro Coretto

Automatic differentiation is an invaluable feature of machine learning and quantum machine learning software libraries. In this work it is shown how quantum automatic differentiation can be used to solve the condensed-matter problem of…

量子物理 · 物理学 2022-11-29 Olivia Di Matteo , R. M. Woloshyn

The noise of a device under test (DUT) is measured simultaneously with two instruments, each of which contributes its own background. The average cross power spectral density converges to the DUT power spectral density. This method enables…

仪器与探测器 · 物理学 2010-03-02 Enrico Rubiola , Francois Vernotte

FRET experiments can yield state-specific structural information on complex dynamic biomolecular assemblies. However, FRET experiments need to be combined with computer simulations to overcome their sparsity. We introduce (i) an automated…

Many collective systems exist in nature far from equilibrium, ranging from cellular sheets up to flocks of birds. These systems reflect a form of active matter, whereby individual material components have internal energy. Under specific…

软凝聚态物质 · 物理学 2023-04-17 Namid R. Stillman , Silke Henkes , Roberto Mayor , Gilles Louppe

Gaussian random number generators attract a widespread interest due to their applications in several fields. Important requirements include easy implementation, tail accuracy, and, finally, a flat spectrum. In this work, we study the…

信息论 · 计算机科学 2024-04-04 Francisco-Javier Soto , Ana I. Gómez , Domingo Gómez-Pérez

We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations. Our model retains the common assumption of a multivariate…

天体物理学 · 物理学 2008-09-22 Michael D. Schneider , Lloyd Knox , Salman Habib , Katrin Heitmann , David Higdon , Charles Nakhleh

Software verification may yield spurious failures when environment assumptions are not accounted for. Environment assumptions are the expectations that a system or a component makes about its operational environment and are often specified…

软件工程 · 计算机科学 2021-01-07 Khouloud Gaaloul , Claudio Menghi , Shiva Nejati , Lionel C. Briand , Yago Isasi Parache

Estimating the free energy in molecular simulation requires, implicitly or explicitly, counting how many times the system is observed in a finite region. If the simulation is biased by an external potential, the weight of the configurations…

化学物理 · 物理学 2021-12-22 Matteo Carli , Alessandro Laio

A circuit-simulation-based method is used to determine the thermally-induced bit error rate of superconducting logic circuits. Simulations are used to evaluate the multidimensional Gaussian integral across noise current sources attached to…

应用物理 · 物理学 2023-06-14 Quentin Herr , Alex Braun , Andrew Brownfield , Ed Rudman , Dan Dosch , Trent Josephsen , Anna Herr

Computing accurate estimates of the Fourier transform of analog signals from discrete data points is important in many fields of science and engineering. The conventional approach of performing the discrete Fourier transform of the data…

机器学习 · 统计学 2017-12-08 Luca Ambrogioni , Eric Maris

Our current understanding of the structure and dynamics of aqueous interfaces at the molecular level has grown substantially in the last few decades due to the continuous development of surface-specific spectroscopies, such as vibrational…

化学物理 · 物理学 2023-09-27 Yair Litman , Jinggang Lan , Yuki Nagata , David M. Wilkins

Simulation is a fundamental research tool in the computer architecture field. These kinds of tools enable the exploration and evaluation of architectural proposals capturing the most relevant aspects of the highly complex systems under…

分布式、并行与集群计算 · 计算机科学 2019-02-11 Adrian Colaso , Pablo Prieto , Jose-Angel Herrero , Pablo Abad , Valentin Puente , Jose-Angel Gregorio

Quantum computing holds potential for accelerating the simulation of fluid dynamics. However, hardware noise in the noisy intermediate-scale quantum era significantly distorts simulation accuracy. Although error magnitudes are frequently…

量子物理 · 物理学 2025-12-30 Jiahua Yang , Zhen Lu , Yue Yang

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

统计方法学 · 统计学 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

Computational fluid dynamics (CFD) analysis is widely used in engineering. Although CFD calculations are accurate, the computational cost associated with complex systems makes it difficult to obtain empirical equations between system…

流体动力学 · 物理学 2022-04-08 Mehrad Ansari , Heta A. Gandhi , David G. Foster , Andrew D. White

We investigate the effects of noise on parameterised quantum circuits using spectral analysis and classical signal processing tools. For different noise models, we quantify the additional, higher frequency modes in the output signal caused…

量子物理 · 物理学 2022-11-11 Enrico Fontana , Ivan Rungger , Ross Duncan , Cristina Cîrstoiu

Machine learning can reveal new insights into X-ray spectroscopy of liquids when the local atomistic environment is presented to the model in a suitable way. Many unique structural descriptor families have been developed for this purpose.…

化学物理 · 物理学 2024-08-26 E. A. Eronen , A. Vladyka , Ch. J. Sahle , J. Niskanen