Daily Arxiv

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Decoding-based Regression

Created by
  • Haebom

Author

Xingyou Song, Dara Bahri

Outline

This paper theoretically supports the notion that language models can decode digit predictions into strings for regression analysis, and explores the use of a causal sequence decoding model as a digit regression head for various feature representations. Despite being trained using a common approach of predicting the next token via cross-entropy loss, we find that the decoder-based head performs equally well as a standard pointwise head on standard regression tasks and exhibits the flexibility to capture smooth digit distributions, such as density estimation.

Takeaways, Limitations

Takeaways: We demonstrate that leveraging the decoder of a language model can be used to build a flexible and efficient numerical regression head for various feature representations. It exhibits similar performance to standard pointwise heads while also being able to capture smooth numerical distributions.
Limitations: This paper only conducted experiments on a specific type of regression task and dataset, so we cannot guarantee the same performance on other types of regression tasks or datasets. More diverse experiments and analyses are needed. Furthermore, further research is needed to deepen and broaden the theoretical basis.
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