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The ability to interpret machine learning models has become increasingly important as their usage in data science continues to rise. Most current interpretability methods are optimized to work on either (\textit{i}) a global scale, where…

Methodology · Statistics 2023-08-11 Emily T. Winn-Nuñez , Maryclare Griffin , Lorin Crawford

This paper investigates the performance of the Generalized Covariance estimator (GCov) in estimating and identifying mixed causal and noncausal models. The GCov estimator is a semi-parametric method that minimizes an objective function…

Econometrics · Economics 2024-01-11 Gianluca Cubadda , Francesco Giancaterini , Alain Hecq , Joann Jasiak

Sensitivity analyses of simulation ensembles determine how simulation parameters influence the simulation's outcome. Commonly, one global numerical sensitivity value is computed per simulation parameter. However, when considering 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-08 Marina Evers , Simon Leistikow , Hennes Rave , Lars Linsen

A non-Bayesian, regression-based or generalized least squares (GLS)-based approach is formally proposed to estimate a class of time-varying AR parameter models. This approach has partly been used by Ito et al. (2014, 2016a,b), and is proven…

Methodology · Statistics 2017-12-22 Mikio Ito , Akihiko Noda , Tatsuma Wada

This study investigates the effects of geometric model reduction on blood flow simulations in the patient-specific descending aorta, followed by speed-accuracy trade-off analysis using 3D simulations. We demonstrate how wall shear stresses…

Fluid Dynamics · Physics 2025-12-12 Rishi Kumar , K. Muralidhar , Indranil Saha Dalal

Simultaneous variable selection and statistical inference is challenging in high-dimensional data analysis. Most existing post-selection inference methods require explicitly specified regression models, which are often linear, as well as…

Methodology · Statistics 2026-03-19 Shangyuan Ye , Shauna Rakshe , Ye Liang

Modern science and industry rely on computational models for simulation, prediction, and data analysis. Spatial blind source separation (SBSS) is a model used to analyze spatial data. Designed explicitly for spatial data analysis, it is…

Human-Computer Interaction · Computer Science 2024-04-12 Nikolaus Piccolotto , Markus Bögl , Christoph Muehlmann , Klaus Nordhausen , Peter Filzmoser , Johanna Schmidt , Silvia Miksch

Motivated by a real-world application in cardiology, we develop an algorithm to perform Bayesian bi-level variable selection in a generalized linear model, for datasets that may be large both in terms of the number of individuals and the…

Methodology · Statistics 2023-03-23 Younès Youssfi , Nicolas Chopin

In this paper we propose an extension of the classical Sobol' estimator for the estimation of variance based sensitivity indices. The approach assumes a linear correlation model between the input variables which is used to decompose the…

Methodology · Statistics 2024-08-12 Thomas Most

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

Motivated by risk assessment of coastal flooding, we consider time-consuming simulators with a spatial output. The aim is to perform sensitivity analysis (SA), quantifying the influence of input parameters on the output. There are three…

The Trotter-Suzuki decomposition is one of the main approaches for realization of quantum simulations on digital quantum computers. Variance-based global sensitivity analysis (the Sobol method) is a wide used method which allows to…

Quantum Physics · Physics 2021-01-12 Alexey N. Pyrkov , Yurii Zotov , Jiangyu Cui , Manhong Yung

Biological systems commonly exhibit complex spatiotemporal patterns whose underlying generative mechanisms pose a significant analytical challenge. Traditional approaches to spatiodynamic inference rely on dimensionality reduction through…

Quantitative Methods · Quantitative Biology 2025-08-01 Jun Won Park , Kangyu Zhao , Sanket Rane

Agent-based models (ABMs) are widely used in biology to understand how individual actions scale into emergent population behavior. Modelers employ sensitivity analysis (SA) algorithms to quantify input parameters' impact on model outputs,…

Quantitative Methods · Quantitative Biology 2026-03-11 Edward H. Rohr , John T. Nardini

Characterizing the relationship between neural population activity and behavioral data is a central goal of neuroscience. While latent variable models (LVMs) are successful in describing high-dimensional time-series data, they are typically…

Machine Learning · Computer Science 2026-02-12 Rabia Gondur , Usama Bin Sikandar , Evan Schaffer , Mikio Christian Aoi , Stephen L Keeley

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

Statistics Theory · Mathematics 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

In clinical or epidemiological follow-up studies, methods based on time scale indicators such as the restricted mean survival time (RMST) have been developed to some extent. Compared with traditional hazard rate indicator system methods,…

Methodology · Statistics 2022-05-26 Chengfeng Zhang , Hongji Wu , Baoyi Huang , Hao Yuan , Yawen Hou , Zheng Chen

We present a comprehensive global sensitivity analysis of two single-objective and two multi-objective state-of-the-art global optimization evolutionary algorithms as an algorithm configuration problem. That is, we investigate the quality…

Neural and Evolutionary Computing · Computer Science 2022-07-12 Varun Ojha , Jon Timmis , Giuseppe Nicosia

Support vector machine modeling is a new approach in machine learning for classification showing good performance on forecasting problems of small samples and high dimensions. Later, it promoted to Support Vector Regression (SVR) for…

Machine Learning · Computer Science 2021-03-23 Mohammadreza Ghanbari , Mahdi Goldani

Understanding time-dependent blood flow dynamics in arteries is crucial for diagnosing and treating cardiovascular diseases. However, accurately predicting time-varying flow patterns requires integrating observational data with…

Fluid Dynamics · Physics 2025-01-09 Muhammad Adnan Anwar , Jorge Tiago
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