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Linear models are used in online decision making, such as in machine learning, policy algorithms, and experimentation platforms. Many engineering systems that use linear models achieve computational efficiency through distributed systems…

Machine Learning · Computer Science 2021-03-04 Jeffrey Wong , Eskil Forsell , Randall Lewis , Tobias Mao , Matthew Wardrop

High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression…

Methodology · Statistics 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

Applications · Statistics 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun

We propose a penalized likelihood method to fit the bivariate categorical response regression model. Our method allows practitioners to estimate which predictors are irrelevant, which predictors only affect the marginal distributions of the…

Methodology · Statistics 2022-01-25 Aaron J. Molstad , Adam J. Rothman

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

Methodology · Statistics 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

We define a model for the joint distribution of multiple continuous latent variables which includes a model for how their correlations depend on explanatory variables. This is motivated by and applied to social scientific research questions…

Methodology · Statistics 2022-10-27 Siliang Zhang , Jouni Kuha , Fiona Steele

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

Logistic regression with unknown sizes has many important applications in biological and medical sciences. All models about this problem in the literature are parametric ones. A semiparametric regression model is proposed. This model…

Statistics Theory · Mathematics 2007-06-13 Wei Zhang

This paper proposes a method for semiparametric regression analysis of large-scale data which are distributed over multiple hosts. This enables modeling of nonlinear relationships and both the batch approach, where analysis starts after all…

Methodology · Statistics 2013-06-21 Jan Luts

We pursue tractable Bayesian analysis of generalized linear models (GLMs) for categorical data. Thus far, GLMs are difficult to scale to more than a few dozen categories due to non-conjugacy or strong posterior dependencies when using…

Machine Learning · Statistics 2022-06-02 Michael T. Wojnowicz , Shuchin Aeron , Eric L. Miller , Michael C. Hughes

We investigate a generic problem of learning pairwise exponential family graphical models with pairwise sufficient statistics defined by a global mapping function, e.g., Mercer kernels. This subclass of pairwise graphical models allow us to…

Machine Learning · Statistics 2013-11-25 Xiao-Tong Yuan , Ping Li , Tong Zhang

This article introduces a novel nonparametric methodology for Generalized Linear Models which combines the strengths of the binary regression and latent variable formulations for categorical data, while overcoming their disadvantages.…

Machine Learning · Statistics 2021-10-12 K. P. Chowdhury

Stacking, a potent ensemble learning method, leverages a meta-model to harness the strengths of multiple base models, thereby enhancing prediction accuracy. Traditional stacking techniques typically utilize established learning models, such…

Machine Learning · Computer Science 2024-10-31 Wei Wu , Liang Tang , Zhongjie Zhao , Chung-Piaw Teo

Classification is a common statistical task in many areas. In order to ameliorate the performance of the existing methods, there are always some new classification procedures proposed. These procedures, especially those raised in the…

Methodology · Statistics 2026-05-05 Yuan-chin Ivan Chang

The logistic map is a nonlinear difference equation well studied in the literature, used to model self-limiting growth in certain populations. It is known that, under certain regularity conditions, the stochastic logistic map, where the…

Dynamical Systems · Mathematics 2023-10-05 Maricela Cruz , Austin Wei , Johanna Hardin , Ami Radunskaya

We use some of the largest order statistics of the random projections of a reference signal to construct a binary embedding that is adapted to signals correlated with such signal. The embedding is characterized from the analytical…

Machine Learning · Computer Science 2017-01-31 Diego Valsesia , Enrico Magli

Several researchers have described two-part models with patient-specific stochastic processes for analysing longitudinal semicontinuous data. In theory, such models can offer greater flexibility than the standard two-part model with…

Applications · Statistics 2017-03-28 Sean Yiu , Brian Tom

Training classification models on imbalanced data tends to result in bias towards the majority class. In this paper, we demonstrate how variable discretization and cost-sensitive logistic regression help mitigate this bias on an imbalanced…

Applications · Statistics 2019-07-29 Lili Zhang , Herman Ray , Jennifer Priestley , Soon Tan

We investigate the use of the Multiple Optimised Parameter Estimation and Data compression algorithm (MOPED) for data compression and faster evaluation of likelihood functions. Since MOPED only guarantees maintaining the Fisher matrix of…

Instrumentation and Methods for Astrophysics · Physics 2011-05-17 Philip Graff , Mike Hobson , Anthony Lasenby

The distributed operating room (OR) scheduling problem aims to find an assignment of surgeries to ORs across collaborating hospitals that share their waiting lists and ORs. We propose a stochastic extension of this problem where surgery…

Optimization and Control · Mathematics 2020-10-06 Cheng Guo , Merve Bodur , Dionne M. Aleman , David R. Urbach