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User-item interaction matrix

As explained in AI-Powered Search

A user-item interaction matrix is a matrix whose rows and columns represent users and items and whose entries represent the strength of their interactions or ratings.

A user-item interaction matrix maps users to items, with each cell recording interaction strength. Positive signals such as clicks, purchases, and ratings can populate the relationship values. section 4.2.3 section 9.3.1

The matrix supports recommendation and personalized search in two progressively richer ways:

  • Use overlapping interactions to find users who engaged with the same item, then boost other items those users also engaged with. section 4.2.3
  • When the matrix is sparse, factor it into a user-feature matrix and an item-feature matrix, capturing latent preferences and item similarities. section 4.2.3 section 9.3.1

Weighted interactions

A purchase receives more weight than an add-to-cart action, which receives more weight than a click. Empty cells indicate no observed interaction, while factorization can fill them with predicted preferences. section 9.3.1

How AI-Powered Search covers it

How deep it goes
Explains cell weighting, sparsity, factorization, latent features, and preference reconstruction without detailing model-training procedures.
Examples
Uses clicks, purchases, ratings, add-to-cart actions, empty cells, and product-category behavior to illustrate matrix values.
What you can do after
Apply collaborative filtering or matrix factorization to infer recommendations and missing user-item preferences.
How it connects
Connects collaborative filtering, matrix factorization, latent features, dimensionality reduction, and recommendation engines.

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This explainer was generated by Manning's knowledge graph from the text of AI-Powered Search. The section links point to the parts of the book it draws on.