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Summary of Fourier Basis Density Model, by Alfredo De La Fuente et al.


Fourier Basis Density Model

by Alfredo De la Fuente, Saurabh Singh, Johannes Ballé

First submitted to arxiv on: 23 Feb 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Machine Learning (stat.ML)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The proposed probability density model uses a constrained Fourier basis and is trained end-to-end, offering a lightweight and flexible solution for approximating multi-modal 1D densities. Compared to the deep factorized model introduced in [1], this approach achieves lower cross-entropy at a similar computational cost. The authors also demonstrate the method’s utility in learned compression tasks.
Low GrooveSquid.com (original content) Low Difficulty Summary
We developed a new probability density model that can be trained easily and doesn’t use too many resources. It works well for tricky 1D densities with multiple modes. This model is better than another one we looked at, called the deep factorized model, because it gets lower cross-entropy without using more computer power. We also showed how this method can help compress data in a smart way.

Keywords

* Artificial intelligence  * Cross entropy  * Multi modal  * Probability