Propose a technique or algorithmic modification to adapt your model’s capacity to handle manifolds with variable dimensionality in this specific problem. Explain the underlying assumptions and limitations of your approach.

Implement manifold learning techniques such as Diffusion Maps or Laplacian Eigenmaps to learn a lower-dimensional representation that adapts to varying intrinsic dimensions. This will allow the model to accurately capture complex relationships between user interactions and product features, at the cost of potentially increased computational complexity and hyperparameter tuning.