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This note introduces a doubly robust (DR) estimator for regression discontinuity (RD) designs. RD designs provide a quasi-experimental framework for estimating treatment effects, where treatment assignment depends on whether a running…

Econometrics · Economics 2025-01-28 Masahiro Kato

We propose a deep neural network (DNN) based least distance (LD) estimator (DNN-LD) for a multivariate regression problem, addressing the limitations of the conventional methods. Due to the flexibility of a DNN structure, both linear and…

Methodology · Statistics 2024-01-09 Jungmin Shin , Seung Jun Shin , Sungwan Bang

Distributionally Robust Reinforcement Learning (DR-RL) aims to derive a policy optimizing the worst-case performance within a predefined uncertainty set. Despite extensive research, previous DR-RL algorithms have predominantly favored…

Machine Learning · Computer Science 2024-06-26 Yudan Wang , Shaofeng Zou , Yue Wang

Distribution Matching Distillation (DMD) facilitates efficient inference by distilling multi-step diffusion models into few-step variants. Concurrently, Reinforcement Learning (RL) has emerged as a vital tool for aligning generative models…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Dengyang Jiang , Dongyang Liu , Zanyi Wang , Qilong Wu , Liuzhuozheng Li , Hengzhuang Li , Xin Jin , David Liu , Changsheng Lu , Zhen Li , Bo Zhang , Mengmeng Wang , Steven Hoi , Peng Gao , Harry Yang

This paper investigates the partial linear model by Least Absolute Deviation (LAD) regression. We parameterize the nonparametric term using Deep Neural Networks (DNNs) and formulate a penalized LAD problem for estimation. Specifically, our…

Machine Learning · Statistics 2025-11-27 Lechen Feng , Haoran Li , Lucky Li , Xingqiu Zhao

In this paper, we introduce novel Twin Parametric Margin Support Vector Machine (TPMSVM) models designed to address multiclass classification tasks under feature uncertainty. To handle data perturbations, we construct bounded-by-norm…

Machine Learning · Computer Science 2026-04-29 Renato De Leone , Francesca Maggioni , Andrea Spinelli

Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

Methodology · Statistics 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

Regularization schemes for regression have been widely studied in learning theory and inverse problems. In this paper, we study distribution regression (DR) which involves two stages of sampling, and aims at regressing from probability…

Machine Learning · Computer Science 2021-10-27 Zhan Yu , Daniel W. C. Ho , Ding-Xuan Zhou

Structure-agnostic causal inference studies how well one can estimate a treatment effect given black-box machine learning estimates of nuisance functions (like the impact of confounders on treatment and outcomes). Here, we find that the…

Machine Learning · Statistics 2025-11-10 Jikai Jin , Lester Mackey , Vasilis Syrgkanis

Machine learning (ML) primarily evolved to solve "prediction problems." The first stage of two-stage least squares (2SLS) is a prediction problem, suggesting potential gains from ML first-stage assistance. However, little guidance exists on…

Econometrics · Economics 2025-05-20 Connor Lennon , Edward Rubin , Glen Waddell

We derive a new margin-based regularization formulation, termed multi-margin regularization (MMR), for deep neural networks (DNNs). The MMR is inspired by principles that were applied in margin analysis of shallow linear classifiers, e.g.,…

Machine Learning · Computer Science 2020-09-15 Berry Weinstein , Shai Fine , Yacov Hel-Or

Decentralized machine learning (DML) supports collaborative training in large-scale networks with no central server. It is sensitive to the quality and reliability of inter-device communications that result in time-varying and stochastic…

Signal Processing · Electrical Eng. & Systems 2025-11-06 Zhiyuan Zhai , Shuyan Hu , Wei Ni , Xiaojun Yuan , Xin Wang

Semi-supervised learning reduces the costly manual annotation burden in medical image segmentation. A popular approach is the mean teacher (MT) strategy, which applies consistency regularization using a temporally averaged teacher model. In…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Pengchen Zhang , Alan J. X. Guo , Sipin Luo , Zhe Han , Lin Guo

Relating a set of variables X to a response y is crucial in chemometrics. A quantitative prediction objective can be enriched by qualitative data interpretation, for instance by locating the most influential features. When high-dimensional…

Machine Learning · Statistics 2023-04-21 Louna Alsouki , Laurent Duval , Clément Marteau , Rami El Haddad , François Wahl

The double/debiased machine learning (DML) framework has become a cornerstone of modern causal inference, allowing researchers to utilise flexible machine learning models for the estimation of nuisance functions without introducing…

Econometrics · Economics 2025-06-19 Charles Shaw

Linear mixed models (LMMs), which incorporate fixed and random effects, are key tools for analyzing heterogeneous data, such as in personalized medicine. Nowadays, this type of data is increasingly wide, sometimes containing thousands of…

Machine Learning · Statistics 2026-05-15 Ryan Thompson , Matt P. Wand , Joanna J. J. Wang

Partial least squares regression (PLSR) has been a popular technique to explore the linear relationship between two datasets. However, most of algorithm implementations of PLSR may only achieve a suboptimal solution through an optimization…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

Mixtures of Linear Regressions (MLR) is an important mixture model with many applications. In this model, each observation is generated from one of the several unknown linear regression components, where the identity of the generated…

Machine Learning · Computer Science 2020-03-31 Yuanzhi Li , Yingyu Liang

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

Machine Learning · Statistics 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

This paper studies double/debiased machine learning (DML) methods applied to weakly dependent data. We allow observations to be situated in a general metric space that accommodates spatial and network data. Existing work implements…

Econometrics · Economics 2025-11-17 Jianfei Cao , Michael P. Leung
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