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An algorithm is described that can generate random variants of a time series or image while preserving the probability distribution of original values and the pointwise Holder regularity. Thus, it preserves the multifractal properties of…

数据分析、统计与概率 · 物理学 2017-03-22 Christopher J Keylock

We propose an extension to multivariate time series of the phase-randomized Fourier-transform algorithm for generating surrogate data. Such surrogate data sets must mimic not only the autocorrelations of each of the variables in the…

comp-gas · 物理学 2009-10-22 Dean Prichard , James Theiler

Detrended fluctuation analysis (DFA) [1] of the volatility series has been found to be useful in dentifying possible nonlinear/multifractal dynamics in the empirical sample [2-4]. Long-range volatile correlation can be an outcome of static…

数据分析、统计与概率 · 物理学 2009-11-11 Radhakrishnan Nagarajan

We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

机器学习 · 计算机科学 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

最优化与控制 · 数学 2025-05-13 Boyang Shen , Junyi Liu

We compare two theoretically distinct approaches to generating artificial (or ``surrogate'') data for testing hypotheses about a given data set. The first and more straightforward approach is to fit a single ``best'' model to the original…

comp-gas · 物理学 2015-06-24 James Theiler , Dean Prichard

In recent years, neural network-based classification has been used to improve data analysis at collider experiments. While this strategy proves to be hugely successful, the underlying models are not commonly shared with the public and rely…

高能物理 - 唯象学 · 物理学 2024-09-30 Sebastian Bieringer , Gregor Kasieczka , Jan Kieseler , Mathias Trabs

Creating artificial intelligence (AI) systems capable of demonstrating lifelong learning is a fundamental challenge, and many approaches and metrics have been proposed to analyze algorithmic properties. However, for existing lifelong…

机器学习 · 计算机科学 2022-08-01 Corban Rivera , Chace Ashcraft , Alexander New , James Schmidt , Gautam Vallabha

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…

机器学习 · 计算机科学 2022-06-03 Kosuke Akita , Yuto Miyatake , Daisuke Furihata

The performance of deep learning methods critically depends on the quality and quantity of the available training data. This is especially the case for physiological time series, which are both noisy and scarce, which calls for data…

信号处理 · 电气工程与系统科学 2025-04-08 Nina Moutonnet , Gregory Scott , Danilo P. Mandic

Neural networks for LHC physics have to be accurate, reliable, and controlled. Using neural surrogates for the prediction of loop amplitudes as a use case, we first show how activation functions are systematically tested with…

高能物理 - 唯象学 · 物理学 2025-10-28 Henning Bahl , Nina Elmer , Luigi Favaro , Manuel Haußmann , Tilman Plehn , Ramon Winterhalder

In this communication a new algorithm is proposed to produce surrogates for pseudoperiodic time series. By imposing a few constraints on the noise components of pseudoperiodic data sets, we devise an effective method to generate surrogates.…

混沌动力学 · 物理学 2007-05-23 Xiaodong Luo , Tomomichi Nakamura , Michael Small

In this article, we study the properties of the nonlinear Fourier spectrum in order to gain better control of the temporal support of the signals synthesized using the inverse nonlinear Fourier transform (NFT). In particular, we provide…

计算物理 · 物理学 2018-09-17 Vishal Vaibhav

Surrogate markers are most commonly studied within the context of randomized clinical trials. However, the need for alternative outcomes extends beyond these settings and may be more pronounced in real-world public health and social science…

统计方法学 · 统计学 2025-04-23 Rebecca Knowlton , Layla Parast

The performance of machine learning surrogates is critically dependent on data quality and quantity. This presents a major challenge, as high-fidelity (HF) data is often scarce and computationally expensive to acquire, while low-fidelity…

机器学习 · 计算机科学 2026-02-03 Jice Zeng , David Barajas-Solano , Hui Chen

We study a class of prediction problems in which relatively few observations have associated responses, but all observations include both standard covariates as well as additional "helper" covariates. While the end goal is to make…

统计理论 · 数学 2024-12-13 Eric Xia , Martin J. Wainwright

The accelerated failure time (AFT) model is widely used to analyze relationships between variables in the presence of censored observations. However, this model relies on some assumptions such as the error distribution, which can lead to…

统计方法学 · 统计学 2026-02-10 Sangkon Oh , Hyunjae Lee , Sangwook Kang , Byungtae Seo

Statistical significance testing of neural coherence is essential for distinguishing genuine cross-signal coupling from spurious correlations. A widely accepted approach uses surrogate-based inference, where null distributions are generated…

信号处理 · 电气工程与系统科学 2026-05-13 Md Rakibul Mowla , Sukhbinder Kumar , Ariane E. Rhone , Brian J. Dlouhy , Christopher K. Kovach

In biomedical studies it is of substantial interest to develop risk prediction scores using high-dimensional data such as gene expression data for clinical endpoints that are subject to censoring. In the presence of well-established…

应用统计 · 统计学 2011-11-24 Qi Long , Matthias Chung , Carlos S. Moreno , Brent A. Johnson

Surrogate Neural Networks are nowadays routinely used in industry as substitutes for computationally demanding engineering simulations (e.g., in structural analysis). They allow to generate faster predictions and thus analyses in industrial…