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In this paper, we propose a novel Mixed-Integer Non-Linear Optimization formulation to construct a risk score, where we optimize the logistic loss with sparsity constraints. Previous approaches are typically designed to handle binary…

最优化与控制 · 数学 2025-02-13 Cristina Molero-Río , Claudia D'Ambrosio

Shape-constrained inference has wide applicability in bioassay, medicine, economics, risk assessment, and many other fields. Although there has been a large amount of work on monotone-constrained univariate curve estimation, multivariate…

统计方法学 · 统计学 2019-11-19 Lizhen Lin , Brian St. Thomas , Walter W. Piegorsch , James Scott , Carlos Carvalho

Segmentation of structural and diffusion MRI (sMRI/dMRI) is usually performed independently in neuroimaging pipelines. However, some brain structures (e.g., globus pallidus, thalamus and its nuclei) can be extracted more accurately by…

计算机视觉与模式识别 · 计算机科学 2019-03-12 Juan Eugenio Iglesias , Koen Van Leemput , Polina Golland , Anastasia Yendiki

The composite likelihood (CL) is amongst the computational methods used for estimation of the generalized linear mixed model (GLMM) in the context of bivariate meta-analysis of diagnostic test accuracy studies. Its advantage is that the…

统计方法学 · 统计学 2018-07-12 Aristidis K. Nikoloulopoulos

Many risk-sensitive applications require well-calibrated prediction sets over multiple, potentially correlated target variables, for which the prediction algorithm may report correlated errors. In this work, we aim to construct the…

机器学习 · 计算机科学 2025-03-12 Ji Won Park , Robert Tibshirani , Kyunghyun Cho

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

机器学习 · 计算机科学 2012-07-03 Qiang Liu , Alexander Ihler

Inspired by the combination of feedforward and iterative computations in the virtual cortex, and taking advantage of the ability of denoising autoencoders to estimate the score of a joint distribution, we propose a novel approach to…

计算机视觉与模式识别 · 计算机科学 2017-08-22 Adriana Romero , Michal Drozdzal , Akram Erraqabi , Simon Jégou , Yoshua Bengio

We consider a power-constrained sensor network, consisting of multiple sensor nodes and a fusion center (FC), that is deployed for the purpose of estimating a common random parameter of interest. In contrast to the distributed framework,…

信息论 · 计算机科学 2012-05-16 Swarnendu Kar , Pramod K. Varshney

The distributional transform (DT) is amongst the computational methods used for estimation of high-dimensional multivariate normal copula models with discrete responses. Its advantage is that the likelihood can be derived conveniently under…

统计方法学 · 统计学 2016-02-16 Aristidis K. Nikoloulopoulos

We consider a semiparametric mixture of two univariate density functions where one of them is known while the weight and the other function are unknown. Such mixtures have a history of application to the problem of detecting differentially…

统计理论 · 数学 2017-08-01 Zhou Shen , Michael Levine , Zuofeng Shang

Large-scale rare events data are commonly encountered in practice. To tackle the massive rare events data, we propose a novel distributed estimation method for logistic regression in a distributed system. For a distributed framework, we…

统计方法学 · 统计学 2023-04-06 Xuetong Li , Xuening Zhu , Hansheng Wang

We propose a distributed method for simultaneous inference for datasets with sample size much larger than the number of covariates, i.e., N >> p, in the generalized linear models framework. When such datasets are too big to be analyzed…

统计方法学 · 统计学 2020-07-23 Lu Tang , Ling Zhou , Peter X. -K. Song

This paper presents some results on the maximum likelihood (ML) estimation from incomplete data. Finite sample properties of conditional observed information matrices are established. They possess positive definiteness and the same Loewner…

统计方法学 · 统计学 2022-07-26 Budhi Arta Surya

In this paper, we consider distributed simultaneous state and parameter estimation for a class of nonlinear systems, for which the augmented model comprising both the states and the parameters is only partially observable. Specifically, we…

系统与控制 · 电气工程与系统科学 2023-01-02 Siyu Liu , Xunyuan Yin , Jinfeng Liu , Feng Ding

We present a new, stochastic variant of the projective splitting (PS) family of algorithms for monotone inclusion problems. It can solve min-max and noncooperative game formulations arising in applications such as robust ML without the…

最优化与控制 · 数学 2021-06-25 Patrick R. Johnstone , Jonathan Eckstein , Thomas Flynn , Shinjae Yoo

In this paper, we investigate the random subsampling method for tensor least squares problem with respect to the popular t-product. From the optimization perspective, we present the error bounds in the sense of probability for the residual…

数值分析 · 数学 2022-12-01 Ling Tang , Hanyu Li

This paper studies the distributed state estimation in sensor network, where $m$ sensors are deployed to infer the $n$-dimensional state of a linear time-invariant (LTI) Gaussian system. By a lossless decomposition of optimal steady-state…

系统与控制 · 电气工程与系统科学 2022-04-22 Jiaqi Yan , Xu Yang , Yilin Mo , Keyou You

We analyze the (unconditional) distribution of a linear predictor that is constructed after a data-driven model selection step in a linear regression model. First, we derive the exact finite-sample cumulative distribution function (cdf) of…

统计理论 · 数学 2008-12-02 Hannes Leeb

In certain privacy-sensitive scenarios within fields such as clinical trial simulations, federated learning, and distributed learning, researchers often face the challenge of estimating correlations between variables without access to…

统计方法学 · 统计学 2025-08-05 Longwen Shang , Min Tsao , Xuekui Zhang

In this paper we consider regression problems subject to arbitrary noise in the operator or design matrix. This characterization appropriately models many physical phenomena with uncertainty in the regressors. Although the problem has been…

统计计算 · 统计学 2021-04-08 Richard J Clancy , Stephen Becker
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