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High-fidelity computational models of cardiac mechanics provide mechanistic insight into the heart function but are computationally prohibitive for routine clinical use. Surrogate models can accelerate simulations, but generalization across…

Machine Learning · Computer Science 2026-02-25 Davide Carrara , Marc Hirschvogel , Francesca Bonizzoni , Stefano Pagani , Simone Pezzuto , Francesco Regazzoni

Generating artificial data is a crucial step when performing Monte-Carlo simulation studies. Depending on the planned study, complex data generation processes (DGP) containing multiple, possibly time-varying, variables with various forms of…

Methodology · Statistics 2025-06-03 Robin Denz , Nina Timmesfeld

A framework is proposed for the unconditional generation of synthetic time series based on learning from a single sample in low-data regime case. The framework aims at capturing the distribution of patches in wavelet scalogram of time…

Signal Processing · Electrical Eng. & Systems 2022-11-07 Amir Kazemi , Hadi Meidani

Deep learning models need a sufficient amount of data in order to be able to find the hidden patterns in it. It is the purpose of generative modeling to learn the data distribution, thus allowing us to sample more data and augment the…

Machine Learning · Computer Science 2024-11-28 José Fernando Núñez , Jamie Arjona , Javier Béjar

Surrogate data testing is a method frequently applied to evaluate the results of nonlinear time series analysis. Since the null hypothesis tested against is a linear, gaussian, stationary stochastic process a positive outcome may not only…

chao-dyn · Physics 2009-10-31 J. Timmer

To analyze multivariate time series, most previous methods assume regular subsampling of time series, where the interval between adjacent measurements and the number of samples remain unchanged. Practically, data collection systems could…

Machine Learning · Computer Science 2023-10-18 Yuxi Wei , Juntong Peng , Tong He , Chenxin Xu , Jian Zhang , Shirui Pan , Siheng Chen

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

Computation · Statistics 2010-11-15 Jason Wyse , Nial Friel

We present a direct inverse modeling method named SURGIN, a SURrogate-guided Generative INversion framework tailed for subsurface multiphase flow data assimilation. Unlike existing inversion methods that require adaptation for each new…

Machine Learning · Statistics 2025-09-17 Zhao Feng , Bicheng Yan , Luanxiao Zhao , Xianda Shen , Renyu Zhao , Wenhao Wang , Fengshou Zhang

Recent breakthroughs in artificial intelligence (AI) are reshaping the way we construct computational counterparts of the brain, giving rise to a new class of ``surrogate brains''. In contrast to conventional hypothesis-driven biophysical…

Neurons and Cognition · Quantitative Biology 2025-10-14 Yinuo Zhang , Demao Liu , Zhichao Liang , Jiani Cheng , Kexin Lou , Jinqiao Duan , Ting Gao , Bin Hu , Quanying Liu

Despite the recent progress in hyperparameter optimization (HPO), available benchmarks that resemble real-world scenarios consist of a few and very large problem instances that are expensive to solve. This blocks researchers and…

Machine Learning · Computer Science 2019-11-26 Aaron Klein , Zhenwen Dai , Frank Hutter , Neil Lawrence , Javier Gonzalez

We present a simple stochastic algorithm for generating multiplicative processes with multiscaling both in space and in time. With this algorithm we are able to reproduce a synthetic signal with the same space and time correlation as the…

Chaotic Dynamics · Physics 2007-05-23 Roberto Benzi , Luca Biferale , Federico Toschi

This paper considers a time-varying vector error-correction model that allows for different time series behaviours (e.g., unit-root and locally stationary processes) to interact with each other to co-exist. From practical perspectives, this…

Econometrics · Economics 2023-05-30 Jiti Gao , Bin Peng , Yayi Yan

We present a hybrid sampling-surrogate approach for reducing the computational expense of uncertainty quantification in nonlinear dynamical systems. Our motivation is to enable rapid uncertainty quantification in complex mechanical systems…

Computation · Statistics 2022-01-27 Hang Yang , Yuji Fujii , K. W. Wang , Alex A. Gorodetsky

In situations where it is difficult to enroll patients in randomized controlled trials, external data can improve efficiency and feasibility. In such cases, adaptive trial designs could be used to decrease enrollment in the control arm of…

Methodology · Statistics 2020-10-02 Brian D. Segal , W. Katherine Tan

The vast repositories of Electronic Health Records (EHR) and medical claims hold untapped potential for studying rare but critical events, such as suicide attempt. Conventional setups often model suicide attempt as a univariate outcome and…

Methodology · Statistics 2025-01-28 Xiaohui Yin , Shane Sacco , Robert H. Aseltine , Fei Wang , Kun Chen

Real-world time series data are often generated from several sources of variation. Learning representations that capture the factors contributing to this variability enables a better understanding of the data via its underlying generative…

Machine Learning · Computer Science 2022-02-14 Sana Tonekaboni , Chun-Liang Li , Sercan Arik , Anna Goldenberg , Tomas Pfister

We propose a flexible yet interpretable model for high-dimensional data with time-varying second order statistics, motivated and applied to functional neuroimaging data. Motivated by the neuroscience literature, we factorize the covariances…

Machine Learning · Statistics 2021-07-20 Katherine Tsai , Mladen Kolar , Oluwasanmi Koyejo

Simulation of complex dynamical systems arising in many applications is computationally challenging due to their size and complexity. Model order reduction, machine learning, and other types of surrogate modeling techniques offer cheaper…

Numerical Analysis · Mathematics 2026-02-11 Steven Roberts , Andrey A Popov , Arash Sarshar , Adrian Sandu

Time-varying data with irregular structures can be described by finite time-vertex graph signals (FTVGS), which represent potential temporal and spatial relationships among multiple sources. While sampling and corresponding reconstruction…

Signal Processing · Electrical Eng. & Systems 2024-11-20 Hang Sheng , Qinji Shu , Hui Feng , Bo Hu

We evaluate some methods designed for tensor- (or data-) based multivariate model construction (approximation and compression). To this aim, a collection of multivariate functions and an evaluation methodology are suggested. First, these…

Numerical Analysis · Mathematics 2026-02-10 Charles Poussot-Vassal , Ion Victor Gosea , Pierre Vuillemin , Athanasios C. Antoulas
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