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Single-parameter summaries of variable effects in regression settings are desirable for ease of interpretation. However (partially) linear models for example, which would deliver these, may fit poorly to the data. On the other hand, an…

统计理论 · 数学 2025-07-28 Harvey Klyne , Rajen D. Shah

A differential algebra of nonlinear generalized functions is presented as a tool for a wide range of nonsmooth nonlinear problems. The power of the differential algebra is used to do mathematical calculations or proofs; then the final…

数学物理 · 物理学 2007-05-23 J. F. Colombeau

We address efficient calculation of influence functions for tracking predictions back to the training data. We propose and analyze a new approach to speeding up the inverse Hessian calculation based on Arnoldi iteration. With this…

机器学习 · 计算机科学 2021-12-07 Andrea Schioppa , Polina Zablotskaia , David Vilar , Artem Sokolov

This paper develops a general framework for identifying causal effects in settings with spillovers, where both outcomes and endogenous treatment decisions are influenced by peers within a known group. It introduces the generalized local…

计量经济学 · 经济学 2025-12-01 Huan Wu

Factor structures or interactive effects are convenient devices to incorporate latent variables in panel data models. We consider fixed effect estimation of nonlinear panel single-index models with factor structures in the unobservables,…

统计方法学 · 统计学 2019-10-16 Mingli Chen , Iván Fernández-Val , Martin Weidner

We introduce generalized notions of a divergence function and a Fisher information matrix. We propose to generalize the notion of an exponential family of models by reformulating it in terms of the Fisher information matrix. Our methods are…

信息论 · 计算机科学 2013-02-22 Jan Naudts , Ben Anthonis

This paper is concerned with model averaging estimation for partially linear functional score models. These models predict a scalar response using both parametric effect of scalar predictors and non-parametric effect of a functional…

统计方法学 · 统计学 2021-05-04 Shishi Liu , Hao Zhang , Jingxiao Zhang

Estimation of generalized linear mixed models (GLMMs) with non-nested random effects structures requires approximation of high-dimensional integrals. Many existing methods are tailored to the low-dimensional integrals produced by nested…

统计计算 · 统计学 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

Obtaining a non-parametric expression for an interventional distribution is one of the most fundamental tasks in causal inference. Such an expression can be obtained for an identifiable causal effect by an algorithm or by manual application…

机器学习 · 统计学 2018-06-20 Santtu Tikka , Juha Karvanen

Estimating causal effects from observational network data is a significant but challenging problem. Existing works in causal inference for observational network data lack an analysis of the generalization bound, which can theoretically…

机器学习 · 计算机科学 2023-08-09 Ruichu Cai , Zeqin Yang , Weilin Chen , Yuguang Yan , Zhifeng Hao

Outliers contaminating data sets are a challenge to statistical estimators. Even a small fraction of outlying observations can heavily influence most classical statistical methods. In this paper we propose generalized spherical principal…

统计方法学 · 统计学 2023-03-13 Sarah Leyder , Jakob Raymaekers , Tim Verdonck

Inference in hierarchical nonlinear models needs careful consideration about targeting parameters that have either a conditional or population-average interpretation. For the special case of mixed-effects nonlinear sigmoidal models we…

应用统计 · 统计学 2017-07-11 Daniel Gerhard , Christian Ritz

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

统计方法学 · 统计学 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

Matrix factorization is a key component of collaborative filtering-based recommendation systems because it allows us to complete sparse user-by-item ratings matrices under a low-rank assumption that encodes the belief that similar users…

机器学习 · 统计学 2016-04-22 Aleksandr Y. Aravkin , Kush R. Varshney , Liu Yang

Influence functions approximate how removing a training example changes a quantity of interest, called the target function, such as a held-out loss. To estimate the influence of a group of examples, the standard practice is to sum the…

机器学习 · 计算机科学 2026-05-18 Jaeseung Heo , Kyeongheung Yun , Youngbin Choi , Sehyun Hwang , Jungseul Ok , Dongwoo Kim

This paper considers a model with general regressors and unobservable factors. An estimator based on iterated principal components is proposed, which is shown to be not only asymptotically normal and oracle efficient, but under certain…

计量经济学 · 经济学 2025-04-23 Bin Peng , Liangjun Su , Joakim Westerlund , Yanrong Yang

We consider the analysis of continuous repeated measurement outcomes that are collected through time, also known as longitudinal data. A standard framework for analysing data of this kind is a linear Gaussian mixed-effects model within…

统计方法学 · 统计学 2018-04-10 Özgür Asar , David Bolin , Peter J. Diggle , Jonas Wallin

Global sensitivity analysis aims at measuring the relative importance of different variables or groups of variables for the variability of a quantity of interest. Among several sensitivity indices, so-called Shapley effects have recently…

统计计算 · 统计学 2021-04-27 Takashi Goda

This paper contributes improvements on both the effectiveness and efficiency of Matrix Factorization (MF) methods for implicit feedback. We highlight two critical issues of existing works. First, due to the large space of unobserved…

信息检索 · 计算机科学 2017-08-18 Xiangnan He , Hanwang Zhang , Min-Yen Kan , Tat-Seng Chua

Machine learning models achieve state-of-the-art performance across domains, yet their lack of interpretability limits safe deployment in high-stakes settings. Counterfactual explanations are widely used to provide actionable "what-if"…

机器学习 · 计算机科学 2025-11-18 Nawid Keshtmand , Roussel Desmond Nzoyem , Jeffrey Nicholas Clark