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Diffusion tensor imaging provides important information on tissue structure and orientation of fiber tracts in brain white matter in vivo. It results in diffusion tensors, which are $3\times3$ symmetric positive definite (SPD) matrices,…

Applications · Statistics 2013-04-17 Ying Yuan , Hongtu Zhu , Martin Styner , John H. Gilmore , J. S. Marron

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

Computation · Statistics 2015-12-21 P. S. Koutsourelakis

Impact assessment of natural hazards requires the consideration of both extreme and non-extreme events. Extensive research has been conducted on the joint modeling of bulk and tail in univariate settings; however, the corresponding body of…

Methodology · Statistics 2026-03-31 Chenglei Hu , Ben Swallow , Daniela Castro-Camilo

In practical structural design and solid mechanics simulations, material properties inherently exhibit random variations within bounded intervals. However, evaluating mechanical responses under continuous material uncertainty remains a…

Machine Learning · Computer Science 2026-03-30 Zhangyong Liang , Huanhuan Gao

Accurately modeling the mechanical behavior of materials is crucial for numerous engineering applications. The quality of these models depends directly on the accuracy of the constitutive law that defines the stress-strain relation.…

Materials Science · Physics 2025-03-18 Zhichao Han , Mohit Pundir , Olga Fink , David S. Kammer

Identifying genetic variants that regulate quantitative traits, or QTLs, is the primary focus of the field of statistical genetics. Most current methods are limited to identifying mean effects, or associations between genotype and the mean…

Quantitative Methods · Quantitative Biology 2015-12-08 Bianca Dumitrascu , Gregory Darnell , Julien Ayroles , Barbara E Engelhardt

Mixtures of regression are a powerful class of models for regression learning with respect to a highly uncertain and heterogeneous response variable of interest. In addition to being a rich predictive model for the response given some…

Statistics Theory · Mathematics 2024-01-30 Dat Do , Linh Do , XuanLong Nguyen

We develop a framework for indirect discovery in the Standard Model Effective Field Theory (SMEFT) based on Bayesian model selection over operator subsets. We argue that SMEFT should be understood as a structured space of competing…

High Energy Physics - Phenomenology · Physics 2026-05-22 Luca Mantani

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

Computational Engineering, Finance, and Science · Computer Science 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

Population-based structural health monitoring (PBSHM), aims to share information between members of a population. An offshore wind (OW) farm could be considered as a population of nominally-identical wind-turbine structures. However, benign…

We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

Applied Physics · Physics 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

Structural equation models (SEMs) are commonly used to study the structural relationship between observed variables and latent constructs. Recently, Bayesian fitting procedures for SEMs have received more attention thanks to their potential…

Methodology · Statistics 2024-07-12 Khue-Dung Dang , Luca Maestrini , Francis K. C. Hui

Diabetic foot ulcers are triggered by mechanical loadings applied to the surface of the plantar skin. Strain is considered to play a crucial role in relation to ulcer etiology and can be assessed by Finite Element (FE) modelling. A…

Medical Physics · Physics 2023-07-19 Alessio Trebbi , Nolwenn Fougeron , Yohan Payan

This paper introduces a novel approach for estimating heterogeneous treatment effects of binary treatment in panel data, particularly focusing on short panel data with large cross-sectional data and observed confoundings. In contrast to…

Methodology · Statistics 2024-06-05 Meijia Wang , Ignacio Martinez , P. Richard Hahn

Molecular dynamics is a valuable tool to probe biological processes at the atomistic level - a resolution often elusive to experiments. However, the credibility of molecular models is limited by the accuracy of the underlying force field,…

Chemical Physics · Physics 2025-11-10 Vojtech Kostal , Brennon L. Shanks , Pavel Jungwirth , Hector Martinez-Seara

This paper presents a novel stochastic framework to quantify the knock down in strength from out-of-plane wrinkles at the coupon level. The key innovation is a Markov Chain Monte Carlo algorithm which rigorously derives the stochastic…

Applications · Statistics 2019-01-17 Anhadjeet Sandhu , Anne Reinarz , Timothy Dodwell

This paper studies the estimation of linear panel data models with interactive fixed effects, where one dimension of the panel, typically time, may be fixed. To this end, a novel transformation is introduced that reduces the model to a…

Econometrics · Economics 2021-10-13 Ayden Higgins

Motivated by dynamic biologic network analysis, we propose a covariate-dependent Gaussian graphical model (cdexGGM) for capturing network structure that varies with covariates through a novel parameterization. Utilizing a likelihood…

Methodology · Statistics 2025-02-26 Jiacheng Wang , Xin Gao

Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

The natural impedance, or dynamic relationship between force and motion, of a human operator can determine the stability of exoskeletons that use interaction-torque feedback to amplify human strength. While human impedance is typically…

Robotics · Computer Science 2020-09-29 Binghan He , Huang Huang , Gray C. Thomas , Luis Sentis
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