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Constrained Heat Kernel Graph Diffusion Convolution: A High-Dimensional Statistical Approximation via Information Theory
Published 2025-01-01Subjects: Get full text
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Square-root lasso under correlated regressors: Tight statistical analysis with a wireless communications application
Published 2024-11-01Subjects: Get full text
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Model-X knockoffs in the replication crisis era: Reducing false discoveries and researcher bias in social science research
Published 2025-01-01Subjects: Get full text
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Variable Selection and Parameter Estimation with the Atan Regularization Method
Published 2016-01-01“…Variable selection is fundamental to high-dimensional statistical modeling. Many variable selection techniques may be implemented by penalized least squares using various penalty functions. …”
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An Analysis of Vectorised Automatic Differentiation for Statistical Applications
Published 2025-05-01“…Our formulation is well-suited to high-dimensional statistical applications, where finite differences (FD) scale poorly due to the need to repeat computations for each input dimension, resulting in significant overhead, and is advantageous in simulation-intensive settings—such as Markov Chain Monte Carlo (MCMC)-based inference—where FD requires repeated sampling and multiple function evaluations, while AD can compute exact derivatives in a single pass, substantially reducing computational cost. …”
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Consistent Estimators of the Population Covariance Matrix and Its Reparameterizations
Published 2025-01-01“…The novel estimator is used to establish that the optimal decomposite <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>T</mi><mrow><mi>T</mi></mrow><mn>2</mn></msubsup></semantics></math></inline-formula>-test has been retained. A high-dimensional statistical hypothesis testing problem is used to carry out statistical inference for high-dimensional principal component analysis-related problems without the sparsity assumption. …”
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Towards precision medicine strategies using plasma proteomic profiling for suspected gallbladder cancer: A pilot study
Published 2025-06-01“…Preoperative plasma samples were analyzed using a 7,500 proteomics panel from SomaScan®. High-dimensional statistical methods including machine learning regularization, were used to analyze the data. …”
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Volatile organic compounds exposure associated with sarcopenia in US adults from NHANES 2011–2018
Published 2025-07-01“…We also employed Weighted Quantile Sum (WQS) regression model, a high-dimensional statistical approach used to evaluate the joint effects of multiple exposures, and Bayesian Kernel Machine regression (BKMR) model, a combination of Bayesian and statistical learning methods, to assess the mixture effects of mVOCs on sarcopenia risk. …”
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