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Can somebody please educate myself and the masses?
What should I ask these guys about their service?
More recently, Marcia posted about it in this thread...
What is LSI?
If anyone is thinking about or considering "LSI Optimization," there's no such thing.
It's important to understand the concepts behind it, as well as some of the underlying IR concepts, like IDF and KW co-occurrence; but if anyone tries to sell you LSI SEO services, ask them how big the dataset is that they're using.
Google's data for use in any kind of semantic analysis they would use consists of words and (and more importantly) phrases derived from more than 8 billion web pages, and then some - like from documents other than web pages.
This approach can be a bit touchy. If a pages includes too many co-occuring terms, Google might penalize it.