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This chapter introduces the mathematical foundations critical for understanding transformers. It begins with vector spaces and linear algebra, delving into their roles in defining transformations and invariances. The exploration of group theory emphasizes symmetries and their applications in representation learning, bridging geometry and algebra to provide insights into transformer architecture.

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Foundations of Representation Theory in Transformers

  • 章节

  • 发表日期：

    2025年

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  • Pradeep Singh,
  • Balasubramanian Raman

摘要

This chapter introduces the mathematical foundations critical for understanding transformers. It begins with vector spaces and linear algebra, delving into their roles in defining transformations and invariances. The exploration of group theory emphasizes symmetries and their applications in representation learning, bridging geometry and algebra to provide insights into transformer architecture.