Implicit Bias in Matrix Factorization and its Explicit Realization in a New Architecture

arXiv — stat.MLTuesday, November 4, 2025 at 5:00:00 AM
A recent study on matrix factorization reveals that gradient descent has an implicit bias towards low-rank solutions, even in unbounded sequences. This finding is significant as it highlights a consistent pattern where factors develop low-rank structures while their magnitudes increase. The introduction of a new architecture aims to capture this behavior more effectively, which could have implications for various applications in data analysis and machine learning.
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