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Summary of Polynomial Composition Activations: Unleashing the Dynamics Of Large Language Models, by Zhijian Zhuo and Ya Wang and Yutao Zeng and Xiaoqing Li and Xun Zhou and Jinwen Ma


Polynomial Composition Activations: Unleashing the Dynamics of Large Language Models

by Zhijian Zhuo, Ya Wang, Yutao Zeng, Xiaoqing Li, Xun Zhou, Jinwen Ma

First submitted to arxiv on: 6 Nov 2024

Categories

  • Main: Computation and Language (cs.CL)
  • Secondary: Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

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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 proposes a novel activation function, polynomial composition activations (PolyCom), designed to optimize the dynamics of transformers. By providing a comprehensive mathematical analysis, the authors demonstrate that PolyCom enhances expressivity and efficacy relative to other activation functions. Theoretically, it is shown that PolyCom networks achieve the optimal approximation rate, requiring minimal parameters to approximate general smooth functions in Sobolev spaces. Empirically, the authors conduct experiments on pre-training configurations of large language models (LLMs) with dense and sparse architectures, substituting conventional activation functions with PolyCom. The results show substantial improvements over other activation functions, demonstrating the effectiveness of PolyCom.
Low GrooveSquid.com (original content) Low Difficulty Summary
This research paper proposes a new way to improve transformers by using a special type of math called polynomial composition activations (PolyCom). Transformers are powerful tools that can be used in many areas like language models. The authors show that PolyCom is better than other ways to activate transformers because it allows them to learn more complex patterns and relationships in the data. They tested their idea on large language models and found that it worked really well, improving accuracy and speed.

Keywords

* Artificial intelligence