Day 32 two tower model architecture (recommendation engine)

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Topic : Two Tower Model Architecture (Recommendation engine)

**![Video Recommendations at Joyn: Two Tower or Not to Tower, That Was Never a Question by Simon Hawe ProSiebenSat.1 Tech Blog 2023 Medium ProSiebenSat.1 Tech 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)**

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TL;DR :

A two-tower model is a deep learning architecture, often used in recommendation systems and information retrieval, that uses two separate neural networks, or “towers,” to encode user and item features into embeddings. These embeddings are then combined to make predictions about user-item interactions. 

Two Tower Model Architecture: Current State and Promising Extensions -  Sumit's Diary

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