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Begriffe
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Matrix Rank

Dimension of the vector subspace generated by the columns (or rows) of a matrix, crucial for determining the complexity of factorization.

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User and Item Bias

Additional terms in factorization models that capture systematic trends of users and intrinsic characteristics of items.

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Latent Factor Learning

Process of identifying unobserved characteristics (latent factors) that explain patterns in the matrix data.

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Low-Rank Matrix

Approximation of an original matrix by a lower-rank matrix, capturing essential information while reducing dimensionality.

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Alternating Least Squares (ALS)

Optimization algorithm that solves the factorization problem by alternating the fixation of one factor matrix to optimize the other.

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Parallel Factorization

Factorization approach that simultaneously processes multiple aspects of data (e.g., temporal context, social information) to improve prediction.

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Interaction Matrix

Matrix representing interactions between two types of entities (e.g., users-items), often the object of factorization in recommendation systems.

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Frobenius Problem

Optimization formulation aiming to minimize the Frobenius norm of the difference between the original matrix and its low-rank approximation.

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Initialization of Factors

Crucial step defining the starting values of factor matrices, influencing the convergence speed and the quality of the final solution.

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