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Summary of Generative Conditional Distributions by Neural (entropic) Optimal Transport, By Bao Nguyen et al.


Generative Conditional Distributions by Neural (Entropic) Optimal Transport

by Bao Nguyen, Binh Nguyen, Hieu Trung Nguyen, Viet Anh Nguyen

First submitted to arxiv on: 4 Jun 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Artificial Intelligence (cs.AI); 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
This paper introduces a novel neural entropic optimal transport method for learning generative models of conditional distributions. The goal is to learn multiple distributions that correspond to different instances of the covariates, which is challenging due to limited sample sizes. The proposed approach relies on two neural networks: one for inverse cumulative distribution functions and another for conditional Kantorovich potential. To prevent overfitting, a regularization term is added to penalize the Lipschitz constant. Experimental results on real-world datasets demonstrate the effectiveness of the algorithm compared to state-of-the-art techniques.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper helps us learn how things might look if certain conditions are met. It’s hard because we need many examples, but what if we only have a few? The researchers created a new way to use neural networks to solve this problem. They use two types of networks: one that creates patterns and another that adjusts the patterns based on the conditions. To make sure their results aren’t too perfect and don’t fit the noise, they add a special penalty term. They tested their method on real data and it worked better than other methods.

Keywords

» Artificial intelligence  » Overfitting  » Regularization