Compression methods can be seen as information projections, and iterative soft rank reduction, not the projection choice, dominates performance after fine-tuning, with a convergence proof for iterative singular value thresholding.
Compression of Recurrent Neural Networks using Matrix Factorization
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abstract
Compressing neural networks is a key step when deploying models for real-time or embedded applications. Factorizing the model's matrices using low-rank approximations is a promising method for achieving compression. While it is possible to set the rank before training, this approach is neither flexible nor optimal. In this work, we propose a post-training rank-selection method called Rank-Tuning that selects a different rank for each matrix. Used in combination with training adaptations, our method achieves high compression rates with no or little performance degradation. Our numerical experiments on signal processing tasks show that we can compress recurrent neural networks up to 14x with at most 1.4% relative performance reduction.
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On Information Geometry and Iterative Optimization in Model Compression: Operator Factorization
Compression methods can be seen as information projections, and iterative soft rank reduction, not the projection choice, dominates performance after fine-tuning, with a convergence proof for iterative singular value thresholding.