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20232026
most citedHow Transformers Learn Causal Structure with Gradient Descent

5 citations · 6 across the 11 of their papers we have counts for

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cs.LG2024

Understanding Factual Recall in Transformers via Associative Memories

Eshaan Nichani, Jason D. Lee, Alberto Bietti

Large language models have demonstrated an impressive ability to perform factual recall. Prior work has found that transformers trained on factual recall tasks can store informatio…

cs.LG2024

Learning Hierarchical Polynomials of Multiple Nonlinear Features with Three-Layer Networks

Hengyu Fu, Zihao Wang, Eshaan Nichani +1

In deep learning theory, a critical question is to understand how neural networks learn hierarchical features. In this work, we study the learning of hierarchical polynomials of \t…

cs.LG2024

Neural network learns low-dimensional polynomials with SGD near the information-theoretic limit

Jason D. Lee, Kazusato Oko, Taiji Suzuki +1

We study the problem of gradient descent learning of a single-index target function unde…

cs.LG2024

Computational-Statistical Gaps in Gaussian Single-Index Models

Alex Damian, Loucas Pillaud-Vivien, Jason D. Lee +1

Single-Index Models are high-dimensional regression problems with planted structure, whereby labels depend on an unknown one-dimensional projection of the input via a generic, non-…

cs.LG2024★ 5 cited

How Transformers Learn Causal Structure with Gradient Descent

Eshaan Nichani, Alex Damian, Jason D. Lee

The incredible success of transformers on sequence modeling tasks can be largely attributed to the self-attention mechanism, which allows information to be transferred between diff…