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In transfer learning, we wish to make inference about a target population when we have access to data both from the distribution itself, and from a different but related source distribution. We introduce a flexible framework for transfer…

Machine Learning · Statistics 2021-09-03 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

We present a new model and methods for the posterior drift problem where the regression function in the target domain is modeled as a linear adjustment (on an appropriate scale) of that in the source domain, an idea that inherits the…

Methodology · Statistics 2021-12-14 Subha Maity , Diptavo Dutta , Jonathan Terhorst , Yuekai Sun , Moulinath Banerjee

Human learners have the natural ability to use knowledge gained in one setting for learning in a different but related setting. This ability to transfer knowledge from one task to another is essential for effective learning. In this paper,…

Statistics Theory · Mathematics 2019-06-10 T. Tony Cai , Hongji Wei

Transfer learning is a machine learning paradigm where knowledge from one problem is utilized to solve a new but related problem. While conceivable that knowledge from one task could be useful for solving a related task, if not executed…

Machine Learning · Computer Science 2021-10-01 Xuetong Wu , Jonathan H. Manton , Uwe Aickelin , Jingge Zhu

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

Transfer learning is a burgeoning concept in statistical machine learning that seeks to improve inference and/or predictive accuracy on a domain of interest by leveraging data from related domains. While the term "transfer learning" has…

Machine Learning · Statistics 2023-12-22 Piotr M. Suder , Jason Xu , David B. Dunson

Transfer learning involves taking information and insight from one problem domain and applying it to a new problem domain. Although widely used in practice, theory for transfer learning remains less well-developed. To address this, we prove…

Machine Learning · Statistics 2020-06-24 Jake Williams , Abel Tadesse , Tyler Sam , Huey Sun , George D. Montanez

We consider the problem of estimating the transition dynamics $T^*$ from near-optimal expert trajectories in the context of offline model-based reinforcement learning. We develop a novel constraint-based method, Inverse Transition Learning,…

Machine Learning · Computer Science 2026-04-29 Leo Benac , Abhishek Sharma , Sonali Parbhoo , Finale Doshi-Velez

This paper considers minimax and adaptive transfer learning for nonparametric classification under the posterior drift model with distributed differential privacy constraints. Our study is conducted within a heterogeneous framework,…

Statistics Theory · Mathematics 2024-07-01 Arnab Auddy , T. Tony Cai , Abhinav Chakraborty

We study supervised multiclass classification for diffusion processes, where each class is characterized by a distinct drift function and trajectories are observed at discrete times. We first derive a multidimensional Bayes rule and then…

Machine Learning · Statistics 2026-05-14 Yuzhen Zhao , Jiarong Fan , Yating Liu

Posterior drift refers to changes in the relationship between responses and covariates while the distributions of the covariates remain unchanged. In this work, we explore functional linear regression under posterior drift with transfer…

Methodology · Statistics 2024-12-20 Xiaoyu Hu , Zhenhua Lin

We present a new adaptive algorithm for learning discrete distributions under distribution drift. In this setting, we observe a sequence of independent samples from a discrete distribution that is changing over time, and the goal is to…

Machine Learning · Computer Science 2024-03-11 Alessio Mazzetto

In massive data analysis, training and testing data often come from very different sources, and their probability distributions are not necessarily identical. A feature example is nonparametric classification in posterior drift model where…

Statistics Theory · Mathematics 2020-11-10 Ruiqi Liu , Kexuan Li , Zuofeng Shang

Individualized treatment effect lies at the heart of precision medicine. Interpretable individualized treatment rules (ITRs) are desirable for clinicians or policymakers due to their intuitive appeal and transparency. The gold-standard…

Methodology · Statistics 2021-08-20 Lili Wu , Shu Yang

Ensuring generalization to unseen environments remains a challenge. Domain shift can lead to substantially degraded performance unless shifts are well-exercised within the available training environments. We introduce a simple robust…

Machine Learning · Computer Science 2021-10-20 Yilun Xu , Tommi Jaakkola

Exploration and adaptation to new tasks in a transfer learning setup is a central challenge in reinforcement learning. In this work, we build on the idea of modeling a distribution over policies in a Bayesian deep reinforcement learning…

Machine Learning · Computer Science 2019-06-11 Disha Shrivastava , Eeshan Gunesh Dhekane , Riashat Islam

We study transfer learning for a linear regression task using several least-squares pretrained models that can be overparameterized. We formulate the target learning task as optimization that minimizes squared errors on the target dataset…

Machine Learning · Computer Science 2026-02-19 Daniel Boharon , Yehuda Dar

Randomized clinical trials are the gold standard for analyzing treatment effects, but high costs and ethical concerns can limit recruitment, potentially leading to invalid inferences. Incorporating external trial data with similar…

Methodology · Statistics 2024-09-09 Yujia Gu , Hanzhong Liu , Wei Ma

We propose a probabilistic framework to directly insert prior knowledge in reinforcement learning (RL) algorithms by defining the behaviour policy as a Bayesian posterior distribution. Such a posterior combines task specific information…

Machine Learning · Computer Science 2018-10-02 Michalis K. Titsias , Sotirios Nikoloutsopoulos

Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

Machine Learning · Statistics 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee
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