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  1. Variable Selection for High-dimensional Cox Model with Error Rate Control

    Simultaneously finding active predictors and controlling the false discovery rate (FDR) for high-dimensional survival data is an important but...

    Baihua He, Hongwei Shi, ... Lixing Zhu in Journal of Systems Science and Complexity
    Article 10 June 2024
  2. Ultra-High Dimensional Model Averaging for Multi-Categorical Response

    Model averaging has been considered to be a powerful tool for model-based prediction in the past decades. However, its application in ultra-high...

    Article 27 June 2024
  3. High-dimensional density estimation with tensorizing flow

    We propose the tensorizing flow method for estimating high-dimensional probability density functions from observed data. Our method combines the...

    Yinuo Ren, Hongli Zhao, ... Lexing Ying in Research in the Mathematical Sciences
    Article 21 June 2023
  4. Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere

    We develop and analyze numerical discretization to the constrained high-index saddle dynamics, the dynamics searching for the high-index saddle...

    Lei Zhang, **wen Zhang, **angcheng Zheng in Science China Mathematics
    Article 15 May 2023
  5. Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation

    We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low-dimensional variable interactions....

    Daniel Potts, Laura Weidensager in Advances in Computational Mathematics
    Article Open access 23 May 2024
  6. High-dimensional approximation with kernel-based multilevel methods on sparse grids

    Moderately high-dimensional approximation problems can successfully be solved by combining univariate approximation processes using an intelligent...

    Rüdiger Kempf, Holger Wendland in Numerische Mathematik
    Article Open access 28 July 2023
  7. Selection of Fixed Effects in High-dimensional Generalized Linear Mixed Models

    The selection of fixed effects is studied in high-dimensional generalized linear mixed models (HDGLMMs) without parametric distributional assumptions...

    ** Yun Zhang, Zai **ng Li in Acta Mathematica Sinica, English Series
    Article 15 June 2023
  8. Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas

    Abstract

    Flow around a body moving at a high subsonic velocity in a tube filled with rarefied gas is studied. This aerodynamic problem is considered...

    A. N. Yakunchikov, A. R. Iuldasheva in Computational Mathematics and Mathematical Physics
    Article 01 December 2023
  9. A Factor-GARCH Model for High Dimensional Volatilities

    This paper proposes a method for modelling volatilities (conditional covariance matrices) of high dimensional dynamic data. We combine the ideas of...

    **ao-ling Li, Yuan Li, ... **ng-fa Zhang in Acta Mathematicae Applicatae Sinica, English Series
    Article 01 July 2022
  10. Multi-layer Bundling as a New Approach for Determining Multi-scale Correlations Within a High-Dimensional Dataset

    The growing complexity of biological data has spurred the development of innovative computational techniques to extract meaningful information and...

    Mehran Fazli, Richard Bertram, Deborah A. Striegel in Bulletin of Mathematical Biology
    Article Open access 12 July 2024
  11. VI-DGP: A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems

    Solving high-dimensional Bayesian inverse problems (BIPs) with the variational inference (VI) method is promising but still challenging. The main...

    Yingzhi **a, Qifeng Liao, **glai Li in Journal of Scientific Computing
    Article 07 September 2023
  12. Two-Stage Online Debiased Lasso Estimation and Inference for High-Dimensional Quantile Regression with Streaming Data

    In this paper, the authors propose a two-stage online debiased lasso estimation and statistical inference method for high-dimensional quantile...

    Article 21 October 2023
  13. A deep learning method for pricing high-dimensional American-style options via state-space partition

    This paper proposes a deep learning approach for solving optimal stop** problems and high-dimensional American-style options pricing problems....

    Yuecai Han, Xudong Zheng in Computational and Applied Mathematics
    Article 02 April 2024
  14. Feature Selection for High-Dimensional Varying Coefficient Models via Ordinary Least Squares Projection

    Feature selection is a changing issue for varying coefficient models when the dimensionality of covariates is ultrahigh. The traditional technology...

    Haofeng Wang, Hongxia **, Xuejun Jiang in Communications in Mathematics and Statistics
    Article 31 March 2023
  15. Connecting Agent-Based Models with High-Dimensional Parameter Spaces to Multidimensional Data Using SMoRe ParS: A Surrogate Modeling Approach

    Across a broad range of disciplines, agent-based models (ABMs) are increasingly utilized for replicating, predicting, and understanding complex...

    Daniel R. Bergman, Kerri-Ann Norton, ... Trachette Jackson in Bulletin of Mathematical Biology
    Article Open access 30 December 2023
  16. Federated Sufficient Dimension Reduction Through High-Dimensional Sparse Sliced Inverse Regression

    Federated learning has become a popular tool in the big data era nowadays. It trains a centralized model based on data from different clients while...

    Wenquan Cui, Yue Zhao, ... Haoyang Cheng in Communications in Mathematics and Statistics
    Article 30 May 2023
  17. Volume Properties of High-Dimensional Orlicz Balls

    We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an application, we describe a large family of Orlicz...
    Franck Barthe, Paweł Wolff in High Dimensional Probability IX
    Conference paper 2023
  18. An Adaptive ANOVA Stochastic Galerkin Method for Partial Differential Equations with High-dimensional Random Inputs

    It is known that standard stochastic Galerkin methods encounter challenges when solving partial differential equations with high-dimensional random...

    Guanjie Wang, Smita Sahu, Qifeng Liao in Journal of Scientific Computing
    Article 15 December 2023
  19. Bifurcation features, chaos, and coherent structures for one-dimensional nonlinear electrical transmission line

    This paper intends to investigate the bifurcation features with chaos and nonlinear coherent structures for the voltage wave propagation by...

    S. A. Iqbal, M. G. Hafez, M. F. Uddin in Computational and Applied Mathematics
    Article 13 January 2022
  20. Differentially private SGD with random features

    In the realm of large-scale machine learning, it is crucial to explore methods for reducing computational complexity and memory demands while...

    Article 08 March 2024
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