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We suggest a new approach to hypothesis testing for ergodic and stationary processes. In contrast to standard methods, the suggested approach gives a possibility to make tests, based on any lossless data compression method even if the…

Information Theory · Computer Science 2007-07-13 Boris Ryabko , Jaakko Astola

The Taylor hypothesis which allows surrogating spatial measurements requiring many experimental probes by time series from one or two probes is examined on the basis of a simple analytic model of turbulent statistics. The main points are as…

chao-dyn · Physics 2009-10-31 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

Accurate gene regulatory networks can be used to explain the emergence of different phenotypes, disease mechanisms, and other biological functions. Many methods have been proposed to infer networks from gene expression data but have been…

Quantitative Methods · Quantitative Biology 2018-12-11 Phan Nguyen , Rosemary Braun

In this paper, we study the use of state-of-the-art nonlinear system identification techniques for the optimal control of nonlinear systems. We show that the nonlinear systems identification problem is equivalent to estimating the…

Optimization and Control · Mathematics 2023-10-23 Aayushman Sharma , Suman Chakravorty

A common practice in clinical trials is to evaluate a treatment effect on an intermediate endpoint when the true outcome of interest would be difficult or costly to measure. We consider how to validate intermediate endpoints in a…

Methodology · Statistics 2022-11-30 Emily K. Roberts , Michael R. Elliott , Jeremy M. G. Taylor

A general method for testing nonlinearity in time series is described and applied to measurements of different pressure data inside the draft tube surge of a real Francis turbine. Comparing the current original time series to an ensemble of…

comp-gas · Physics 2008-02-03 S. Sello

Randomizing the Fourier-transform (FT) phases of temporal-spatial data generates surrogates that approximate examples from the data-generating distribution. We propose such FT surrogates as a novel tool to augment and analyze training of…

Signal Processing · Electrical Eng. & Systems 2019-01-29 Justus T. C. Schwabedal , John C. Snyder , Ayse Cakmak , Shamim Nemati , Gari D. Clifford

Machine learning surrogates are increasingly employed to replace expensive computational models for physics-based reliability analysis. However, their use introduces epistemic uncertainty from model approximation errors, which couples with…

Machine Learning · Computer Science 2025-09-24 Amirreza Tootchi , Xiaoping Du

The problem of determining the mathematical model of the dynamics of multi-dimensional control systems in the presence of noise under the condition that the correlation functions cannot be found. Known statistical dynamics of linear systems…

General Mathematics · Mathematics 2013-01-29 V. N. Tibabishev

An intermediate response measure that accurately predicts efficacy in a new setting can reduce trial cost and time to product licensure. In this paper, we define a trial level general surrogate as a trial level intermediate response that…

Methodology · Statistics 2015-07-08 Erin E. Gabriel , Michael J. Daniels , M. Elizabeth Halloran

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

Computation · Statistics 2024-05-10 Jianhua Xian , Ziqi Wang

Optimizing the reliability and the robustness of a design is important but often unaffordable due to high sample requirements. Surrogate models based on statistical and machine learning methods are used to increase the sample efficiency.…

Machine Learning · Statistics 2022-05-06 Can Bogoclu , Dirk Roos , Tamara Nestorović

Data-driven surrogate models of dynamical systems based on the extended dynamic mode decomposition are nowadays well-established and widespread in applications. Further, for non-holonomic systems exhibiting a multiplicative coupling between…

Robotics · Computer Science 2023-03-17 Lea Bold , Hannes Eschmann , Mario Rosenfelder , Henrik Ebel , Karl Worthmann

We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

Numerical Analysis · Mathematics 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

Surrogate modeling of eccentric binary black hole waveforms has remained challenging. The complicated morphology of these waveforms due to the eccentric orbital timescale variations makes it difficult to construct accurate and efficient…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Akash Maurya , Prayush Kumar , Scott E. Field , Chandra Kant Mishra , Peter James Nee , Kaushik Paul , Harald P. Pfeiffer , Adhrit Ravichandran , Vijay Varma

Developments in transcriptomics techniques have caused a large demand in tailored computational methods for modelling gene expression dynamics from experimental data. Recently, so-called single-cell experiments have revolutionised genetic…

Quantitative Methods · Quantitative Biology 2019-03-18 Atte Aalto , Jorge Goncalves

In many randomized trials, outcomes such as essays or open-ended responses must be manually scored as a preliminary step to impact analysis, a process that is costly and limiting. Model-assisted estimation offers a way to combine surrogate…

Methodology · Statistics 2026-02-16 Reagan Mozer , Nicole E. Pashley , Luke Miratrix

In data assimilation, state estimation is not straightforward when the observation operator is unknown. This study proposes a method for composing a surrogate operator when the true operator is unknown. A neural network is used to improve…

Machine Learning · Computer Science 2022-06-03 Kosuke Akita , Yuto Miyatake , Daisuke Furihata

In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

Methodology · Statistics 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun