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Stacking regressions is an ensemble technique that forms linear combinations of different regression estimators to enhance predictive accuracy. The conventional approach uses cross-validation data to generate predictions from the…

Machine Learning · Statistics 2024-10-10 Xin Chen , Jason M. Klusowski , Yan Shuo Tan

Clay, the major ingredient of natural soils, is often used as a rheological modifier while formulating paints and coatings. When subjected to desiccation, colloidal clay suspensions and clayey soils crack due to the accumulation of…

Soft Condensed Matter · Physics 2024-09-16 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

We present a formula for the shrinkage factors of the Partial Least Squares regression estimator and deduce some of their properties, in particular the known fact that some of the factors are >1. We investigate the effect of shrinkage…

Statistics Theory · Mathematics 2007-06-13 Nicole Kraemer

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

Methodology · Statistics 2024-03-11 Ryan Thompson , Farshid Vahid

The soil water retention curve (SWRC) is the most commonly used relationship in the study of unsaturated soil. In this paper, the effect of porosity on the SWRC is investigated by numerically modeling unsaturated soil using the Shan-Chen…

Geophysics · Physics 2021-07-14 Reihaneh Hosseini , Krishna Kumar , Jean-Yves Delenne

The pore-solid interface and its characteristics play a key role in chemical interactions between minerals in the solid soil matrix and the liquid in pore space and, consequently, solute transport in soils. Specific surface area (SSA),…

A simple and robust spring-block model obeying threshold dynamics is introduced to study surface fracture of an overlayer subject to stress induced by adhesion to a substrate. We find a novel phase transition in the crack morphology and…

Condensed Matter · Physics 2009-10-28 Kwan-tai Leung , Joergen Vitting Andersen

The high dimensional nature of genomics data complicates feature selection, in particular in low sample size studies - not uncommon in clinical prediction settings. It is widely recognized that complementary data on the features, `co-data',…

Methodology · Statistics 2024-05-09 Mark A. van de Wiel , Wessel N. van Wieringen

The material properties of polycrystals are strongly affected by the evolution and coarsening of their internal grain structures. Yet, studying this process is challenging due to the complex interactions within grain boundary networks.…

This article concerns the dimension reduction in regression for large data set. We introduce a new method based on the sliced inverse regression approach, called cluster-based regularized sliced inverse regression. Our method not only keeps…

Applications · Statistics 2013-12-03 Yue Yu , Zhihong Chen , Jie Yang

Factor Analysis is a popular method for modeling dependence in multivariate data. However, determining the number of factors and obtaining a sparse orientation of the loadings are still major challenges. In this paper, we propose a…

Methodology · Statistics 2021-07-27 Henrique Bolfarine , Carlos M. Carvalho , Hedibert F. Lopes , Jared S. Murray

Over the past two decades, shrinkage priors have become increasingly popular, and many proposals can be found in the literature. These priors aim to shrink small effects to zero while maintaining true large effects. Horseshoe-type priors…

Statistics Theory · Mathematics 2025-01-14 Maria De Iorio , Andreas Heinecke , Beatrice Franzolini , Rafael Cabral

During an earthquake, slip occurs in a localised shear zone that features a heavily granulated fault core that can be characterised as a shear band. We study the formation of this fault core in a granular rock such as sandstone by…

Geophysics · Physics 2025-09-29 N. A. Collins-Craft , I. Stefanou , J. Sulem , I. Einav

We investigate the impact of a free-falling water drop onto a granular layer. First, we constructed a phase diagram of crater shapes with two control parameters, impact speed and grain size. A low-speed impact makes a deeper cylindrical…

Soft Condensed Matter · Physics 2011-02-17 H. Katsuragi

An innovative image analysis technique is proposed to process real solar cell pictures, identify grains and grain boundaries in polycrystalline Silicon, and finally generate finite element meshes. Using a modified intrinsic cohesive zone…

Materials Science · Physics 2014-10-02 Andrea Infuso , Mauro Corrado , Marco Paggi

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…

Materials Science · Physics 2023-02-13 Min Yi , Wenxuan Wang , Ming Xue , Qihua Gong , Bai-Xiang Xu

In the systems showing critical behavior, various response functions have a singularity at the critical point. Therefore, as the driving field is tuned towards its critical value, the response functions change drastically, typically…

Statistical Mechanics · Physics 2023-09-26 Soumyaditya Das , Soumyajyoti Biswas

One of the goals in scaling sequential machine learning methods pertains to dealing with high-dimensional data spaces. A key related challenge is that many methods heavily depend on obtaining the inverse covariance matrix of the data. It is…

Computation · Statistics 2017-07-28 Tomer Lancewicki

In this paper, five different approaches for reduced-order modeling of brittle fracture in geomaterials, specifically concrete, are presented and compared. Four of the five methods rely on machine learning (ML) algorithms to approximate…

Computational Engineering, Finance, and Science · Computer Science 2018-06-07 A. Hunter , B. A. Moore , M. K. Mudunuru , V. T. Chau , R. L. Miller , R. B. Tchoua , C. Nyshadham , S. Karra , D. O. Malley , E. Rougier , H. S. Viswanathan , G. Srinivasan

Hydrogen enhanced cracking is one of the many failure mechanisms in metals depending on the corrosive environment. In the presented work, a multiscale constitutive model has been presented for hydrogen enhanced intergranular cracking in…

Materials Science · Physics 2019-10-10 M Amir Siddiq , Salah Rahimi
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