University of Cambridge > Talks.cam > Statistics > Linear regression with unmatched data: a deconvolution perspective

  Browse A-Z

Log in

University Account External (via Google)

šŸ” Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ā„¹ļø Information

Linear regression with unmatched data: a deconvolution perspective

Download to your calendar using vCal

If you have a question about this talk, please contact Qingyuan Zhao .

Consider the regression problem where the response Yāˆˆā„ and the covariate Xāˆˆā„d for dā‰„1 are \textit{unmatched}. Under this scenario, we do not have access to pairs of observations from the distribution of (X,Y), but instead, we have separate datasets {Yi}ni=1 and {Xj}mj=1, possibly collected from different sources. We study this problem assuming that the regression function is linear and the noise distribution is known or can be estimated. We introduce an estimator of the regression vector based on deconvolution and demonstrate its consistency and asymptotic normality under an identifiability assumption. In the general case, we show that our estimator (DLSE: Deconvolution Least Squared Estimator) is consistent in terms of an extended ā„“2 norm. Using this observation, we devise a method for semi-supervised learning, i.e., when we have access to a small sample of matched pairs (Xk,Yk). Several applications with synthetic and real datasets are considered to illustrate the theory.

https://arxiv.org/abs/2207.06320

This talk is part of the Statistics series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Mental Health Week 2013 Webinar & FW11, Computer Laboratory, William Gates Building. Salisbury Arms

Other talks

Tea and Coffee Break Optimal metric and approximation of free boundary minimal surfaces Online Causal Inference Seminar C2D3 Computational Biology Annual Symposium 2026 In conversation: Louis Herns Marcelin and Ola Osman on legacies of enslavement and contemporary violence in Liberia and Haiti Title to be confirmed
 

Ā© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity