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A brief review of modeling and simulation methods for a study of polymers at interfaces is provided. When studying truly multiscale problems as provided by realistic polymer systems, coarse graining is practically unavoidable. In this…

软凝聚态物质 · 物理学 2009-10-19 Fathollah Varnik , Kurt Binder

Parameter estimation and inference from complex survey samples typically focuses on global model parameters whose estimators have asymptotic properties, such as from fixed effects regression models. The central challenge is to both mitigate…

统计方法学 · 统计学 2026-05-13 Matthew R. Williams , F. Hunter McGuire , Terrance D. Savitsky

Hierarchical models are increasingly used in many applications. Along with this increased use comes a desire to investigate whether the model is compatible with the observed data. Bayesian methods are well suited to eliminate the many…

统计方法学 · 统计学 2008-02-08 M. J. Bayarri , M. E. Castellanos

Sintering, as a thermal process at elevated temperature below the melting point, is widely used to bond contacting particles into engineering products such as ceramics, metals, polymers, and cemented carbides. Modelling and simulation as…

材料科学 · 物理学 2023-02-13 Min Yi , Wenxuan Wang , Ming Xue , Qihua Gong , Bai-Xiang Xu

When building statistical models for Bayesian data analysis tasks, required and optional iterative adjustments and different modelling choices can give rise to numerous candidate models. In particular, checks and evaluations throughout the…

统计方法学 · 统计学 2024-04-03 Anna Elisabeth Riha , Nikolas Siccha , Antti Oulasvirta , Aki Vehtari

Mixtures of linear mixed models are widely used for modelling longitudinal data for which observation times differ between subjects. In typical applications, temporal trends are described using a basis expansion, with basis coefficients…

统计方法学 · 统计学 2025-11-25 Lucas Kock , Nadja Klein , David J. Nott

The mathematical models used to capture features of complex, biological systems are typically non-linear, meaning that there are no generally valid simple relationships between their outputs and the data that might be used to validate them.…

定量方法 · 定量生物学 2014-04-23 Thomas House

State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several…

种群与进化 · 定量生物学 2019-09-20 Leo Polansky , Ken B. Newman , Lara Mitchell

Physics-based battery modelling has emerged to accelerate battery materials discovery and performance assessment. Its success, however, is still hindered by difficulties in aligning models to experimental data. Bayesian approaches are a…

统计方法学 · 统计学 2025-12-12 Yannick Kuhn , Masaki Adachi , Micha Philipp , David A. Howey , Birger Horstmann

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

统计理论 · 数学 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

Economic evaluations from individual-level data are an important component of the process of technology appraisal, with a view to informing resource allocation decisions. A critical problem in these analyses is that both effectiveness and…

应用统计 · 统计学 2018-02-01 Andrea Gabrio , Alexina J. Mason , Gianluca Baio

We develop a flexible Erlang mixture model for survival analysis. The model for the survival density is built from a structured mixture of Erlang densities, mixing on the integer shape parameter with a common scale parameter. The mixture…

统计方法学 · 统计学 2022-11-17 Yunzhe Li , Juhee Lee , Athanasios Kottas

Studying the conformations involved in the dimerization of cadherins is highly relevant to understand the development of tissue and its failure, which is associated with tumors and metastases. Experimental techniques, like X-ray…

生物大分子 · 定量生物学 2020-02-26 S. Terzoli , G. Tiana

A key problem in statistical modeling is model selection, how to choose a model at an appropriate level of complexity. This problem appears in many settings, most prominently in choosing the number ofclusters in mixture models or the number…

机器学习 · 统计学 2011-08-05 Samuel J. Gershman , David M. Blei

We consider unsupervised classification by means of a latent multinomial variable which categorizes a scalar response into one of L components of a mixture model. This process can be thought as a hierarchical model with first level…

In many scientific contexts, different investigators experiment with or observe different variables with data from a domain in which the distinct variable sets might well be related. This sort of fragmentation sometimes occurs in molecular…

人工智能 · 计算机科学 2019-09-05 Shuyan Wang

Reliable predictions of the behaviour of chemical systems are essential across many industries, from nanoscale engineering over validation of advanced materials to nanotoxicity assessment in health and medicine. For the future we therefore…

化学物理 · 物理学 2021-03-05 Judith B. Rommel

The growing AI field faces trust, transparency, fairness, and discrimination challenges. Despite the need for new regulations, there is a mismatch between regulatory science and AI, preventing a consistent framework. A five-layer nested…

计算机与社会 · 计算机科学 2024-08-27 Akshat Dubey , Zewen Yang , Georges Hattab

Computational models and simulations are not just appealing because of their intrinsic characteristics across spatiotemporal scales, scalability, and predictive power, but also because the set of problems in cancer biomedicine that can be…

组织与器官 · 定量生物学 2023-11-01 Nicolò Cogno , Cristian Axenie , Roman Bauer , Vasileios Vavourakis

The appropriate design, construction, and operation of carbon capture and storage (CCS) and enhanced oil recovery (EOR) processes require a deep understanding of the resulting phases behavior in hydrocarbons-CO_2 multi-component mixtures…

最优化与控制 · 数学 2023-06-29 Gustavo E. O. Celis , Reza Arefidamghani , Hamidreza Anbarlooei , Daniel O. A. Cruz
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