Primary mathematical techniques and algorithms used in recommendation systems
Matrix Factorization
Matrix factorization is a collaborative filtering technique that decomposes the user-item interaction matrix into lower-dimensional user and item latent factor matrices.
The goal is to find latent factors that capture the underlying preferences of users and the characteristics of items.
Example using PyTorch:
Singular Value Decomposition (SVD)
SVD is another matrix factorization technique used in collaborative filtering.
It decomposes the user-item interaction matrix into three matrices: U (user singular vectors), Σ (singular values), and V^T (item singular vectors).
Example using PyTorch:
Deep Learning
Deep learning techniques, such as neural networks, have gained popularity in recommendation systems. They can capture complex non-linear relationships between users and items and learn meaningful representations from raw data.
Example using PyTorch:
Factorization Machines (FM)
Factorization Machines are a generalisation of matrix factorization that can handle both sparse and dense feature vectors.
They model the interactions between features using factorised parameters.
Example using PyTorch:
These are just a few examples of the mathematical techniques and algorithms used in recommendation systems.
Other notable approaches include:
Bayesian Personalized Ranking (BPR)
Alternating Least Squares (ALS)
Gradient Boosting Machines (GBM)
Recurrent Neural Networks (RNNs) for sequential recommendations
Graph-based methods like GraphSAGE and LightGCN
The choice of technique depends on the specific requirements of the recommendation system, such as the type of data available, the scalability needs, and the desired level of personalisation.
Hybrid approaches that combine multiple techniques are also common to leverage the strengths of different methods.



