Estimation of Models with Limited Data by Leveraging Shared Structure

Autor: Rui, Maryann, Horel, Thibaut, Dahleh, Munther
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Modern data sets, such as those in healthcare and e-commerce, are often derived from many individuals or systems but have insufficient data from each source alone to separately estimate individual, often high-dimensional, model parameters. If there is shared structure among systems however, it may be possible to leverage data from other systems to help estimate individual parameters, which could otherwise be non-identifiable. In this paper, we assume systems share a latent low-dimensional parameter space and propose a method for recovering $d$-dimensional parameters for $N$ different linear systems, even when there are only $TComment: Accepted to IEEE Conference on Decision and Control (CDC) 2023
Databáze: arXiv