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When researching this topic, I found algorithms like this (in R): https://github.com/djvanderlaan/reclin
Felligi-Sunter is the baseline model in record linkage research. It is implemented in R in fastLink and RecordLinkage, but you will need training data. There are some other options, e.g. dblink, that use Bayesian methods and a latent variable set up so you don’t need training data.
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