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Summary of Minibatch Optimal Transport and Perplexity Bound Estimation in Discrete Flow Matching, by Etrit Haxholli et al.


Minibatch Optimal Transport and Perplexity Bound Estimation in Discrete Flow Matching

by Etrit Haxholli, Yeti Z. Gürbüz, Oğul Can, Eli Waxman

First submitted to arxiv on: 1 Nov 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 dynamic-optimal-transport-like minimization objective for discrete flows aims to outperform autoregressive models on categorical data distributions by minimizing state transitions during generation. The approach is based on a convex interpolation strategy and uses a minibatch optimization method to optimize the transport cost. This minimization objective is applied to discrete flow matching, which has shown competitive performance with autoregressive models for modeling textual data. Additionally, an upper bound on the perplexity of discrete flow models is proposed as a means of evaluating and comparing performance with other methods.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper proposes new ways to improve continuous diffusion and flow models when working with categorical data, like text. The problem is that these models are good at generating sequences of numbers or characters, but they don’t work well for modeling text. To fix this, the authors suggest a new way to minimize the differences between states during generation, using an optimization method called dynamic-optimal-transport-like minimization objective. This makes it possible to compare the performance of different models and evaluate their ability to generate text.

Keywords

» Artificial intelligence  » Autoregressive  » Diffusion  » Optimization  » Perplexity