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Binary density ratio estimation (DRE), the problem of estimating the ratio $p_1/p_2$ given their empirical samples, provides the foundation for many state-of-the-art machine learning algorithms such as contrastive representation learning…

Machine Learning · Computer Science 2021-12-08 Lantao Yu , Yujia Jin , Stefano Ermon

Inferring causal relationships or related associations from observational data can be invalidated by the existence of hidden confounding. We focus on a high-dimensional linear regression setting, where the measured covariates are affected…

Methodology · Statistics 2021-07-22 Zijian Guo , Domagoj Ćevid , Peter Bühlmann

Estimation and inference on causal parameters is typically reduced to a generalized method of moments problem, which involves auxiliary functions that correspond to solutions to a regression or classification problem. Recent line of work on…

Econometrics · Economics 2022-11-16 Qizhao Chen , Vasilis Syrgkanis , Morgane Austern

This paper develops a penalized GMM (PGMM) framework for automatic debiased inference on functionals of nonparametric instrumental variable estimators. We derive convergence rates for the PGMM estimator and provide conditions for root-n…

Econometrics · Economics 2026-04-06 Edvard Bakhitov

Multimodal imaging has transformed neuroscience research. While it presents unprecedented opportunities, it also imposes serious challenges. Particularly, it is difficult to combine the merits of the interpretability attributed to a simple…

Methodology · Statistics 2021-11-25 Xiaowu Dai , Lexin Li

This paper generalizes regularized regression problems in a hyper-reproducing kernel Hilbert space (hyper-RKHS), illustrates its utility for kernel learning and out-of-sample extensions, and proves asymptotic convergence results for the…

Machine Learning · Computer Science 2022-10-20 Fanghui Liu , Lei Shi , Xiaolin Huang , Jie Yang , Johan A. K. Suykens

To reduce human error and prejudice, many high-stakes decisions have been turned over to machine algorithms. However, recent research suggests that this does not remove discrimination, and can perpetuate harmful stereotypes. While…

Computers and Society · Computer Science 2019-12-18 Yuzi He , Keith Burghardt , Kristina Lerman

Tikhonov regularization for projected solutions of large-scale ill-posed problems is considered. The Golub-Kahan iterative bidiagonalization is used to project the problem onto a subspace and regularization then applied to find a subspace…

Numerical Analysis · Mathematics 2022-08-16 Rosemary A. Renaut , Saeed Vatankhah , Vahid E. Ardestani

Regression Mean (RegMean), an approach that formulates model merging as a linear regression problem, aims to find the optimal weights for each linear layer in the merged model by minimizing the discrepancy in predictions between the merged…

Machine Learning · Computer Science 2026-04-28 The-Hai Nguyen , Dang Huu-Tien , Takeshi Suzuki , Le-Minh Nguyen

A powerful concept behind much of the recent progress in machine learning is the extraction of common features across data from heterogeneous sources or tasks. Intuitively, using all of one's data to learn a common representation function…

Machine Learning · Statistics 2024-10-15 Thomas T. C. K. Zhang , Leonardo F. Toso , James Anderson , Nikolai Matni

As part of the ML Reproducibility Challenge 2020, we investigated the ICML 2020 paper "Learning De-biased Representations with Biased Representations" by Bahng et al., where the authors formalize and attempt to tackle the so called "cross…

Machine Learning · Computer Science 2021-05-17 Rwiddhi Chakraborty , Shubhayu Das

We present machine learning estimators for causal and predictive parameters under covariate shift, where covariate distributions differ between training and target populations. One such parameter is the average effect of a policy that…

Methodology · Statistics 2025-09-23 Victor Chernozhukov , Michael Newey , Whitney K Newey , Rahul Singh , Vasilis Syrgkanis

Fairness concerns are increasingly critical as machine learning models are deployed in high-stakes applications. While existing fairness-aware methods typically intervene at the model level, they often suffer from high computational costs,…

Machine Learning · Computer Science 2025-11-11 Yixuan Zhang , Jiabin Luo , Zhenggang Wang , Feng Zhou , Quyu Kong

We propose a novel Bayesian methodology for inference in functional linear and logistic regression models based on the theory of reproducing kernel Hilbert spaces (RKHS's). We introduce general models that build upon the RKHS generated by…

Methodology · Statistics 2025-09-09 José R. Berrendero , Antonio Coín , Antonio Cuevas

Completely randomized experiment is the gold standard for causal inference. When the covariate information for each experimental candidate is available, one typical way is to include them in covariate adjustments for more accurate treatment…

Methodology · Statistics 2025-06-10 Xin Lu , Fan Yang , Yuhao Wang

Existing studies on bias mitigation methods for large language models (LLMs) use diverse baselines and metrics to evaluate debiasing performance, leading to inconsistent comparisons among them. Moreover, their evaluations are mostly based…

Computation and Language · Computer Science 2026-02-17 Xin Xu , Xunzhi He , Churan Zhi , Ruizhe Chen , Julian McAuley , Zexue He

We investigate a generalized framework to estimate a latent low-rank plus sparse tensor, where the low-rank tensor often captures the multi-way principal components and the sparse tensor accounts for potential model mis-specifications or…

Methodology · Statistics 2022-04-15 Jian-Feng Cai , Jingyang Li , Dong Xia

This paper addresses the problem of regression to reconstruct functions, which are observed with superimposed errors at random locations. We address the problem in reproducing kernel Hilbert spaces. It is demonstrated that the estimator,…

Statistics Theory · Mathematics 2021-08-17 Paul Dommel , Alois Pichler

This work presents a nonparametric framework for dissipativity learning in reproducing kernel Hilbert spaces, which enables data-driven certification of stability and performance properties for unknown nonlinear systems without requiring an…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Xiuzhen Ye , Wentao Tang

For classification, the problem of class imbalance is well known and has been extensively studied. In this paper, we argue that imbalance in regression is an equally important problem which has so far been overlooked: Due to under- and…

Machine Learning · Computer Science 2024-02-20 Daniel Kowatsch , Nicolas M. Müller , Kilian Tscharke , Philip Sperl , Konstantin Bötinger
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