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Sparse covariance matrices play crucial roles by encoding the interdependencies between variables in numerous fields such as genetics and neuroscience. Despite substantial studies on sparse covariance matrices, existing methods face several…

统计方法学 · 统计学 2026-03-03 Rakheon Kim , Irina Gaynanova

Unsupervised black-box models are challenging to interpret. Indeed, most existing explainability methods require labels to select which component(s) of the black-box's output to interpret. In the absence of labels, black-box outputs often…

机器学习 · 计算机科学 2022-06-10 Jonathan Crabbé , Mihaela van der Schaar

Many methods are available for assessing the importance of omitted variables in linear regression. These methods typically make different, non-falsifiable assumptions. Hence the data alone cannot tell us which method is most appropriate.…

计量经济学 · 经济学 2026-02-05 Paul Diegert , Matthew A. Masten , Alexandre Poirier

Machine learning models are widely applied in various fields. Stakeholders often use post-hoc feature importance methods to better understand the input features' contribution to the models' predictions. The interpretation of the importance…

机器学习 · 统计学 2024-04-19 Bitya Neuhof , Yuval Benjamini

In this paper we introduce a metric aimed at helping machine learning practitioners quickly summarize and communicate the overall importance of each feature in any black-box machine learning prediction model. Our proposed metric, based on a…

统计方法学 · 统计学 2019-08-27 Nickalus Redell

We propose a novel iterative algorithm for estimating a deterministic but unknown parameter vector in the presence of model uncertainties. This iterative algorithm is based on a system model where an overall noise term describes both, the…

统计理论 · 数学 2017-11-27 Oliver Lang , Michael Lunglmayr , Mario Huemer

A semi-parametric, non-linear regression model in the presence of latent variables is introduced. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex networked system. This new formulation allows…

机器学习 · 统计学 2018-06-29 Jonathan Mei , José M. F. Moura

Covariance regression analysis is an approach to linking the covariance of responses to a set of explanatory variables $X$, where $X$ can be a vector, matrix, or tensor. Most of the literature on this topic focuses on the "Fixed-$X$"…

统计理论 · 数学 2025-01-08 Tao Zou , Wei Lan , Runze Li , Chih-Ling Tsai

Conditional independence testing is an important problem, yet provably hard without assumptions. One of the assumptions that has become popular of late is called "model-X", where we assume we know the joint distribution of the covariates,…

统计方法学 · 统计学 2020-07-14 Eugene Katsevich , Aaditya Ramdas

This paper introduces tools for assessing the sensitivity, to unobserved confounding, of a common estimator of the causal effect of a treatment on an outcome that employs weights: the weighted linear regression of the outcome on the…

统计方法学 · 统计学 2025-08-06 Leonard Wainstein , Chad Hazlett

Among semiparametric regression models, partially linear additive models provide a useful tool to include additive nonparametric components as well as a parametric component, when explaining the relationship between the response and a set…

统计方法学 · 统计学 2024-02-01 Graciela Boente , Alejandra Martínez

Black-box model structures are dominated by large multivariate functions. Usually a generic basis function expansion is used, e.g. a polynomial basis, and the parameters of the function are tuned given the data. This is a pragmatic and…

系统与控制 · 电气工程与系统科学 2021-05-19 Jan Decuyper , Koen Tiels , Siep Weiland , Johan Schoukens

Mediation analysis is widely used for exploring treatment mechanisms; however, it faces challenges when nonignorable missing confounders are present. Efficient inference of mediation effects and the efficiency loss due to nonignorable…

统计方法学 · 统计学 2026-04-22 Jiawei Shan , Wei Li , Chunrong Ai

Recent progress in deep latent variable models has largely been driven by the development of flexible and scalable variational inference methods. Variational training of this type involves maximizing a lower bound on the log-likelihood,…

机器学习 · 计算机科学 2016-06-02 Andriy Mnih , Danilo J. Rezende

Data-trained predictive models see widespread use, but for the most part they are used as black boxes which output a prediction or score. It is therefore hard to acquire a deeper understanding of model behavior, and in particular how…

In the sparse linear regression setting, we consider testing the significance of the predictor variable that enters the current lasso model, in the sequence of models visited along the lasso solution path. We propose a simple test statistic…

统计理论 · 数学 2014-05-27 Richard Lockhart , Jonathan Taylor , Ryan J. Tibshirani , Robert Tibshirani

We consider nonlinear mixed effects models including high-dimensional covariates to model individual parameters variability. The objective is to identify relevant covariates among a large set under sparsity assumption and to estimate model…

统计理论 · 数学 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

In many problem settings, parameter vectors are not merely sparse but dependent in such a way that non-zero coefficients tend to cluster together. We refer to this form of dependency as "region sparsity." Classical sparse regression…

机器学习 · 统计学 2019-01-28 Anqi Wu , Oluwasanmi Koyejo , Jonathan W. Pillow

In a standard regression problem, we have a set of explanatory variables whose effect on some response vector is modeled. For wide binary data, such as genetic marker data, we often have two limitations. First, we have more parameters than…

统计方法学 · 统计学 2021-09-20 Katharina Parry , Leo N. Geppert , Alexander Munteanu , Katja Ickstadt

Determining the lack of association between an outcome variable and a number of different explanatory variables is frequently necessary in order to disregard a proposed model. This paper proposes a non-inferiority test for the coefficient…

统计方法学 · 统计学 2020-02-24 Harlan Campbell