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Glossario IA

Il dizionario completo dell'Intelligenza Artificiale

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Matrix Factorization

Algebraic technique that decomposes a user-item matrix into the product of two lower-rank matrices to reveal latent features of preferences.

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Singular Value Decomposition (SVD)

Factorization method that decomposes a matrix M into UΣV' where U and V are orthogonal and Σ is diagonal, enabling optimal dimensional reduction.

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Latent Factors

Unobservable hidden variables representing the intrinsic characteristics of users and items, learned automatically during factorization.

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Stochastic Gradient Descent (SGD)

Iterative optimization algorithm that updates factorization parameters using a random sample at each iteration to minimize prediction error.

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Alternating Least Squares (ALS)

Optimization method that alternates between fixing one factor matrix to analytically solve for the other, guaranteeing convergence to a local optimum.

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Regularization

Technique that prevents overfitting by adding a penalty on the magnitude of parameters, favoring more general and robust solutions.

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Vectorization

Process of representing entities (users/items) as dense vectors in a reduced-dimension latent space.

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Non-Negative Matrix Factorization (NMF)

Factorization variant that constrains all resulting matrices to contain only non-negative values, improving the interpretability of factors.

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User and Item Bias

Additional terms capturing systematic tendencies of users (general tendencies to rate high/low) and items (intrinsic popularity).

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Pairwise Learning

Approach that directly optimizes the relative ranking of items by considering pairs (positive item, negative item) rather than absolute ratings.

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Cold Start Problem

Major challenge where factorization fails to generate reliable recommendations for new users or items lacking interaction history.

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Tensor Factorization

Multidimensional extension of matrix factorization that allows modeling multiple dimensions simultaneously (user, item, context, time).

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Deep Learning for Factorization

Integration of neural networks to capture complex non-linear relationships between latent factors, improving recommendation accuracy.

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Loss Function

Measure quantifying the gap between the predictions of the factorized model and actual values, serving as an objective to minimize during training.

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Learning Rate

Hyperparameter controlling the magnitude of parameter updates during optimization, influencing the speed and stability of convergence.

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Hybrid Embedding

Combination of matrix factorization with content-based embeddings, merging collaborative and content-based approaches.

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