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To backpropagate the gradients through stochastic binary layers, we propose the augment-REINFORCE-merge (ARM) estimator that is unbiased, exhibits low variance, and has low computational complexity. Exploiting variable augmentation,…

机器学习 · 统计学 2019-09-11 Mingzhang Yin , Mingyuan Zhou

This paper proposes the asymmetric linear double autoregression, which jointly models the conditional mean and conditional heteroscedasticity characterized by asymmetric effects. A sufficient condition is established for the existence of a…

统计方法学 · 统计学 2021-04-22 Songhua Tan , Qianqian Zhu

Consider estimation of average treatment effects with multi-valued treatments using augmented inverse probability weighted (IPW) estimators, depending on outcome regression and propensity score models in high-dimensional settings. These…

统计方法学 · 统计学 2022-01-25 Wenfu Xu , Zhiqiang Tan

This article introduces a new estimator of average treatment effects under unobserved confounding in modern data-rich environments featuring large numbers of units and outcomes. The proposed estimator is doubly robust, combining outcome…

计量经济学 · 经济学 2024-10-30 Alberto Abadie , Anish Agarwal , Raaz Dwivedi , Abhin Shah

Merging finetuned Large Language Models (LLMs) has become increasingly important for integrating diverse capabilities into a single unified model. However, prevailing model merging methods rely on linear arithmetic in Euclidean space, which…

机器学习 · 计算机科学 2026-02-06 Sihan Yang , Kexuan Shi , Weiyang Liu

Sequential data collection has emerged as a widely adopted technique for enhancing the efficiency of data gathering processes. Despite its advantages, such data collection mechanism often introduces complexities to the statistical inference…

统计理论 · 数学 2023-11-09 Mufang Ying , Koulik Khamaru , Cun-Hui Zhang

Motivated by the prevalence and success of machine learning, a line of recent work has studied learning-augmented algorithms in the streaming model. These results have shown that for natural and practical oracles implemented with machine…

数据结构与算法 · 计算机科学 2026-03-04 Soham Nagawanshi , Shalini Panthangi , Chen Wang , David P. Woodruff , Samson Zhou

Many common estimators in machine learning and causal inference are linear smoothers, where the prediction is a weighted average of the training outcomes. Some estimators, such as ordinary least squares and kernel ridge regression, allow…

机器学习 · 计算机科学 2026-04-02 David Arbour , Harsh Parikh , Bijan Niknam , Elizabeth Stuart , Kara Rudolph , Avi Feller

In this paper we analyze a budgeted learning setting, in which the learner can only choose and observe a small subset of the attributes of each training example. We develop efficient algorithms for ridge and lasso linear regression, which…

机器学习 · 计算机科学 2014-10-24 Doron Kukliansky , Ohad Shamir

The lasso has been studied extensively as a tool for estimating the coefficient vector in the high-dimensional linear model; however, considerably less is known about estimating the error variance in this context. In this paper, we propose…

统计方法学 · 统计学 2019-07-22 Guo Yu , Jacob Bien

Model averaging, as an appealing ensemble technique, strategically integrates all valuable information from candidate models to construct fast and accurate prediction. Despite of having been widely practiced in many fields such as…

统计方法学 · 统计学 2026-03-17 Zhuang Yong , Lv Jing , Tingting Li

This paper tackles the problem of selecting among several linear estimators in non-parametric regression; this includes model selection for linear regression, the choice of a regularization parameter in kernel ridge regression, spline…

统计理论 · 数学 2011-09-15 Sylvain Arlot , Francis Bach

As scaled language models (LMs) approach human-level reasoning capabilities, self-improvement emerges as a solution to synthesizing high-quality data corpus. While previous research has identified model collapse as a risk in…

计算与语言 · 计算机科学 2025-10-28 Xiangchi Yuan , Chunhui Zhang , Zheyuan Liu , Dachuan Shi , Leyan Pan , Soroush Vosoughi , Wenke Lee

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

统计理论 · 数学 2025-07-08 Tianyu Zhang , Jing Lei

Covariate imbalance between treatment groups makes it difficult to compare cumulative incidence curves in competing risk analyses. In this paper we discuss different methods to estimate adjusted cumulative incidence curves including inverse…

统计方法学 · 统计学 2024-12-04 Patrick van Hage , Saskia le Cessie , Marissa C. van Maaren , Hein Putter , Nan van Geloven

In the presence of a missing response, reweighting the complete case subsample by the inverse of nonmissing probability is both intuitive and easy to implement. When the population totals of some auxiliary variables are known and when the…

统计方法学 · 统计学 2014-10-16 Kwun Chuen Gary Chan , Sheung Chi Phillip Yam

AutoAugment has sparked an interest in automated augmentation methods for deep learning models. These methods estimate image transformation policies for train data that improve generalization to test data. While recent papers evolved in the…

计算机视觉与模式识别 · 计算机科学 2021-03-15 Denis Gudovskiy , Luca Rigazio , Shun Ishizaka , Kazuki Kozuka , Sotaro Tsukizawa

Data subject to heavy-tailed errors are commonly encountered in various scientific fields, especially in the modern era with explosion of massive data. To address this problem, procedures based on quantile regression and Least Absolute…

统计理论 · 数学 2014-10-09 Jianqing Fan , Quefeng Li , Yuyan Wang

Precision matrix estimation is a cornerstone concept in statistics, economics, and finance. Despite advances in recent years, estimation methods that are simultaneously (i) dense, (ii) consistent, and (iii) model-free are lacking. While…

计量经济学 · 经济学 2025-12-05 Mehmet Caner Agostino Capponi Mihailo Stojnic

Similar to variable selection in the linear regression model, selecting significant components in the popular additive regression model is of great interest. However, such components are unknown smooth functions of independent variables,…

统计方法学 · 统计学 2011-01-04 Xia Cui , Heng Peng , Songqiao Wen , Lixing Zhu