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Summary of An Introduction to Graphical Tensor Notation For Mechanistic Interpretability, by Jordan K. Taylor


An introduction to graphical tensor notation for mechanistic interpretability

by Jordan K. Taylor

First submitted to arxiv on: 2 Feb 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Artificial Intelligence (cs.AI)

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GrooveSquid.com Paper Summaries

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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 paper introduces graphical tensor notation, a simple way to denote linear operations on tensors, which is crucial for understanding modern deep learning. The notation helps visualize and simplify complex tensor operations, making it easier to understand neural networks and reverse-engineer their behavior for mechanistic interpretability. The authors apply the notation to various decompositions (SVD, CP, Tucker, and tensor network) and foundational approaches for language models, including an example “induction head” circuit.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper makes tensors easy to understand! It introduces a new way to write down complicated math problems using pictures. This helps us see what’s happening inside big computers that learn like humans do. By using this new way of writing, we can figure out how these computers are working and make them better. The authors show how to use this method with different kinds of math problems and even create a special example for understanding language models.

Keywords

* Artificial intelligence  * Deep learning