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Summary of Iterated Denoising Energy Matching For Sampling From Boltzmann Densities, by Tara Akhound-sadegh et al.


Iterated Denoising Energy Matching for Sampling from Boltzmann Densities

by Tara Akhound-Sadegh, Jarrid Rector-Brooks, Avishek Joey Bose, Sarthak Mittal, Pablo Lemos, Cheng-Hao Liu, Marcin Sendera, Siamak Ravanbakhsh, Gauthier Gidel, Yoshua Bengio, Nikolay Malkin, Alexander Tong

First submitted to arxiv on: 9 Feb 2024

Categories

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

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GrooveSquid.com Paper Summaries

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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 paper proposes Iterated Denoising Energy Matching (iDEM), an iterative algorithm that uses a novel stochastic score matching objective to train a diffusion-based sampler. This algorithm alternates between sampling regions of high model density and using these samples in the matching objective to improve the sampler. iDEM is scalable, simulation-free, and requires no MCMC samples. It leverages the fast mode mixing behavior of diffusion to smooth out the energy landscape, enabling efficient exploration and learning of an amortized sampler. The proposed approach achieves state-of-the-art performance on a range of tasks, including standard synthetic energy functions and invariant particle systems.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper creates a new way to get samples from a big probability distribution using only the energy function and its gradient. It’s called Iterated Denoising Energy Matching (iDEM). The algorithm does two things: it takes some samples from the distribution and uses them to make the sampler better, then it uses those same samples again to make another set of new samples that are even better. iDEM is fast and doesn’t need any extra information or training data. It can handle big problems with lots of variables.

Keywords

* Artificial intelligence  * Diffusion  * Probability