English
Related papers

Related papers: Near-Optimal Linear Regression under Distribution …

200 papers

We consider the problem of transfer learning in Neyman-Pearson classification, where the objective is to minimize the error w.r.t. a distribution $\mu_1$, subject to the constraint that the error w.r.t. a distribution $\mu_0$ remains below…

Machine Learning · Computer Science 2025-11-11 Mohammadreza M. Kalan , Yuyang Deng , Eitan J. Neugut , Samory Kpotufe

Machine learning systems often experience a distribution shift between training and testing. In this paper, we introduce a simple variational objective whose optima are exactly the set of all representations on which risk minimizers are…

Machine Learning · Computer Science 2022-03-16 Yangjun Ruan , Yann Dubois , Chris J. Maddison

We study nonparametric regression under covariate shift with structured data, where a small amount of labeled target data is supplemented by a large labeled source dataset. In many real-world settings, the covariates in the target domain…

Statistics Theory · Mathematics 2025-07-02 Yuyao Wang , Nabarun Deb , Debarghya Mukherjee

We study nonparametric density estimation in non-stationary drift settings. Given a sequence of independent samples taken from a distribution that gradually changes in time, the goal is to compute the best estimate for the current…

Machine Learning · Computer Science 2023-10-31 Alessio Mazzetto , Eli Upfal

In this paper, we consider the problem of learning a linear regression model on a data domain of interest (target) given few samples. To aid learning, we are provided with a set of pre-trained regression models that are trained on…

Machine Learning · Computer Science 2023-06-27 Navjot Singh , Suhas Diggavi

Transfer learning enhances prediction accuracy on a target distribution by leveraging data from a source distribution, demonstrating significant benefits in various applications. This paper introduces a novel dissimilarity measure that…

Machine Learning · Statistics 2024-12-12 Mitsuhiro Fujikawa , Yohei Akimoto , Jun Sakuma , Kazuto Fukuchi

A common pursuit in modern statistical learning is to attain satisfactory generalization out of the source data distribution (OOD). In theory, the challenge remains unsolved even under the canonical setting of covariate shift for the linear…

Machine Learning · Statistics 2025-02-14 Yuanshi Liu , Haihan Zhang , Qian Chen , Cong Fang

Transfer learning refers to the promising idea of initializing model fits based on pre-training on other data. We particularly consider regression modeling settings where parameter estimates from previous data can be used as anchoring…

Methodology · Statistics 2020-07-07 Wessel N. van Wieringen , Harald Binder

We study the problem of transfer learning, observing that previous efforts to understand its information-theoretic limits do not fully exploit the geometric structure of the source and target domains. In contrast, our study first…

Machine Learning · Computer Science 2022-02-24 Xuhui Zhang , Jose Blanchet , Soumyadip Ghosh , Mark S. Squillante

We aim to understand the value of additional labeled or unlabeled target data in transfer learning, for any given amount of source data; this is motivated by practical questions around minimizing sampling costs, whereby, target data is…

Machine Learning · Computer Science 2020-02-13 Steve Hanneke , Samory Kpotufe

Understanding how information propagates in real-life complex networks yields a better understanding of dynamic processes such as misinformation or epidemic spreading. The recently introduced branch of machine learning methods for learning…

Social and Information Networks · Computer Science 2023-02-21 Sebastian Mežnar , Nada Lavrač , Blaž Škrlj

Latent space model plays a crucial role in network analysis, and accurate estimation of latent variables is essential for downstream tasks such as link prediction. However, the large number of parameters to be estimated presents a…

Methodology · Statistics 2025-09-22 Kuangnan Fang , Ruixuan Qin , Xinyan Fan

Performative learning addresses the increasingly pervasive situations in which algorithmic decisions may induce changes in the data distribution as a consequence of their public deployment. We propose a novel view in which these…

Machine Learning · Computer Science 2024-11-05 Edwige Cyffers , Muni Sreenivas Pydi , Jamal Atif , Olivier Cappé

Statistical inference from high-dimensional data with low-dimensional structures has recently attracted lots of attention. In machine learning, deep generative modeling approaches implicitly estimate distributions of complex objects by…

Statistics Theory · Mathematics 2022-02-21 Rong Tang , Yun Yang

Distribution regression seeks to estimate the conditional distribution of a multivariate response given a continuous covariate. This approach offers a more complete characterization of dependence than traditional regression methods.…

Statistics Theory · Mathematics 2025-06-10 Rong Tang , Yun Yang

Modern machine learning methods have recently demonstrated remarkable capability to generalize under task shift, where latent knowledge is transferred to a different, often more difficult, task under a similar data distribution. We…

Machine Learning · Statistics 2025-02-20 Tyler LaBonte , Kuo-Wei Lai , Vidya Muthukumar

This paper studies transfer learning for ridge-regularized robust linear regression in the moderate-dimensional regime, where the number of predictors is of the same order as the sample size and the regression coefficients are not assumed…

Methodology · Statistics 2026-04-14 Lingfeng Lyu , Xiao Guo , Zongqi Liu

This paper considers the estimation and prediction of a high-dimensional linear regression in the setting of transfer learning, using samples from the target model as well as auxiliary samples from different but possibly related regression…

Methodology · Statistics 2020-06-19 Sai Li , T. Tony Cai , Hongzhe Li

We consider transferability estimation, the problem of estimating how well deep learning models transfer from a source to a target task. We focus on regression tasks, which received little previous attention, and propose two simple and…

Machine Learning · Computer Science 2023-12-05 Cuong N. Nguyen , Phong Tran , Lam Si Tung Ho , Vu Dinh , Anh T. Tran , Tal Hassner , Cuong V. Nguyen

We develop here a novel transfer learning methodology called Profiled Transfer Learning (PTL). The method is based on the \textit{approximate-linear} assumption between the source and target parameters. Compared with the commonly assumed…

Statistics Theory · Mathematics 2024-06-06 Ziqian Lin , Junlong Zhao , Fang Wang , Hansheng Wang