Large scale recommender

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I am dealing with a recommendation problem, which involves 3 million users and 500,000 products. The purpose of the recommendation is to recommend 5-10 more products to the particular user when visiting a given product.

We finished the real-time recommendation engine part, but we found that it is not so easy to recommend in 1-2 seconds. We consider two strategies:

  1. Run the recommendation off-line in a batch mode, then store the results in a MySQL DB. However, it seems like that the number of entries in the tables is a huge number. Each user for each product should store at least 5-10 recommended products. If I create a table with user and product as table attributes, there will be 3 million x 500,000 entries.

  2. Predict the recommendation on the fly. We just tried it, but the response time is too long.

Can anyone give me some suggestions on this problem?

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It looks strange to me to create a list of recommended products for each user-product-pair. Normally you only have a list of similar products for each product for use cases like yours.