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Kronecker Decomposition of Weight Matrices using Least Squares Approach

  • Knowledge distillation in machine learning involves transferring knowledge from a large 'teacher' model to a smaller 'student' model.
  • One effective method for model compression is the Kronecker decomposition, which involves breaking down a large matrix into the Kronecker product of two smaller matrices.
  • The Kronecker decomposition significantly reduces the number of parameters stored, leading to reduced compute and storage requirements.
  • By defining a cost function and using techniques like Singular Value Decomposition (SVD), optimal A and B matrices can be obtained for the best least-squares approximation of the original weight matrix W.

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