Results 21 to 30 of about 991,877 (258)
Checking Heteroscedasticity in Partially Linear Single-Index Models Using Pairwise Distance
In this article, a new test is proposed for partially linear single-index models (PLSIM) based on the pairwise distances of the sample points, to test heteroscedasticity.
Jian-Qiang Zhao +4 more
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Using single-index ODEs to study dynamic gene regulatory network. [PDF]
With the development of biotechnology, high-throughput studies on protein-protein, protein-gene, and gene-gene interactions become possible and attract remarkable attention.
Qi Zhang, Yao Yu, Jun Zhang, Hua Liang
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Identification of organic compounds using artificial neural networks and refractive index [PDF]
Identification of chemical compounds has many applications in science and technology. However, this process still relies significantly on the knowledge and experience of chemists.
Kirigiti Innocent Abel +2 more
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Let $(\bX, Y)$ be a random pair taking values in $\mathbb R^p \times \mathbb R$. In the so-called single-index model, one has $Y=f^{\star}(θ^{\star T}\bX)+\bW$, where $f^{\star}$ is an unknown univariate measurable function, $θ^{\star}$ is an unknown vector in $\mathbb R^d$, and $W$ denotes a random noise satisfying $\mathbb E[\bW|\bX]=0$.
Alquier, Pierre, Biau, Gérard
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Wheat yellow rust has a severe impact on wheat production and threatens food security in China; as such, an effective monitoring method is necessary at the regional scale.
Qiong Zheng +8 more
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Score Tests for the Single Index Model [PDF]
The single index model is a generalization of the linear regression model with E(y|x) = g(x′β), where g is an unknown function. The model provides a flexible alternative to the linear regression model while providing more structure than a fully nonparametric approach.
Jeffrey S. Simonoff, Chih-Ling Tsai
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Simplified Pediatric Index of Mortality 3 Score by Explainable Machine Learning Algorithm
OBJECTIVES:. Pediatric Index of Mortality 3 is a validated tool including 11 variables for the assessment of mortality risk in PICU patients. With the recent advances in explainable machine learning algorithms, we aimed to assess feasibility of ...
Orkun Baloglu, MD +4 more
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Estimation in monotone single‐index models [PDF]
Single‐index models are popular regression models that are more flexible than linear models and still maintain more structure than purely nonparametric models. We consider the problem of estimating the regression parameters under a monotonicity constraint on the unknown link function.
Piet Groeneboom, Kim Hendrickx
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On Single-Index Models beyond Gaussian Data
Sparse high-dimensional functions have arisen as a rich framework to study the behavior of gradient-descent methods using shallow neural networks, showcasing their ability to perform feature learning beyond linear models. Amongst those functions, the simplest are single-index models $f(x) = ϕ( x \cdot θ^*)$, where the labels are generated by an ...
Aaron Zweig +2 more
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Genome changes play a crucial role in carcinogenesis, and many biomarkers can be used as effective prognostic indicators in various tumors. Although previous studies have constructed many predictive models for hepatocellular carcinoma (HCC) based on ...
Xiao Liu +5 more
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