A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization | Paper Citation Record

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This paper cites Transformers learn to implement preconditioned gradient descent for in-context learning.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers learn to implement preconditioned gradient descent for in-context learning

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Linear attention is (maybe) all you need (to understand transformer optimization)

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Block coordinate descent for neural networks provably finds global minima

Reference 3

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This paper cites How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization How to Capture Higher-order Correlations? Generalizing Matrix Softmax Attention to Kronecker Computation

Reference 4

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This paper cites Neural Machine Translation by Jointly Learning to Align and Translate.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Neural Machine Translation by Jointly Learning to Align and Translate

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This paper cites On the Ability and Limitations of Transformers to Recognize Formal Languages.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On the Ability and Limitations of Transformers to Recognize Formal Languages

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This paper cites On the Computational Power of Transformers and its Implications in Sequence Modeling.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On the Computational Power of Transformers and its Implications in Sequence Modeling

Reference 7

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Unresolved cited work

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Unresolved cited work

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This paper cites Decision Transformer: Reinforcement Learning via Sequence Modeling.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Decision Transformer: Reinforcement Learning via Sequence Modeling

Reference 10

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Provably learning a multi-head attention layer

Reference 11

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Training Dynamics of Multi-Head Softmax Attention for In-Context Learning: Emergence, Convergence, and Optimality

Reference 12

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This paper cites Transformers Implement Functional Gradient Descent to Learn Non-Linear Functions In Context.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers Implement Functional Gradient Descent to Learn Non-Linear Functions In Context

Reference 13

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Rethinking Attention with Performers

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This paper cites On the Optimization and Generalization of Multi-head Attention.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On the Optimization and Generalization of Multi-head Attention

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This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

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This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 17

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This paper cites Inductive Biases and Variable Creation in Self-Attention Mechanisms.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Inductive Biases and Variable Creation in Self-Attention Mechanisms

Reference 18

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This paper cites A mathematical framework for transformer circuits.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization A mathematical framework for transformer circuits

Reference 19

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This paper cites Phenotypes and Genotypes: The Search for Influential Genes, volume 18 of Computational Biology.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Phenotypes and Genotypes: The Search for Influential Genes, volume 18 of Computational Biology

Reference 20

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization M., and Fan, J

Reference 21

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This paper cites On Limitation of Transformer for Learning HMMs.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On Limitation of Transformer for Learning HMMs

Reference 22

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization In-context convergence of transformers

Reference 23

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This paper cites How Transformers Learn Diverse Attention Correlations in Masked Vision Pretraining.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization How Transformers Learn Diverse Attention Correlations in Masked Vision Pretraining

Reference 24

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This paper cites Vision Transformers provably learn spatial structure.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Vision Transformers provably learn spatial structure

Reference 25

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Unresolved cited work

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Unresolved cited work

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This paper cites PolySketchFormer: Fast Transformers via Sketching Polynomial Kernels.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization PolySketchFormer: Fast Transformers via Sketching Polynomial Kernels

Reference 28

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization and Sato, I

Reference 29

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention

Reference 30

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization SimA: Simple Softmax-free Attention for Vision Transformers

Reference 31

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization A Theoretical Understanding of Shallow Vision Transformers: Learning, Generalization, and Sample Complexity

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization The Closeness of In-Context Learning and Weight Shifting for Softmax Regression

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization On the Expressive Power of Self-Attention Matrices

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers Learn Shortcuts to Automata

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Rethinking Transformers in Solving POMDPs

Reference 36

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Your transformer may not be as powerful as you expect

Reference 37

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers are Expressive, But Are They Expressive Enough for Regression?

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Theory, Analysis, and Best Practices for Sigmoid Self-Attention

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Representational Strengths and Limitations of Transformers

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Effects of Depth, Width, and Initialization: A Convergence Analysis of Layer-wise Training for Deep Linear Neural Networks

Reference 41

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Unraveling the gradient descent dynamics of transformers

Reference 42

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization RoFormer: Enhanced Transformer with Rotary Position Embedding

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers as Support Vector Machines

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Scan and Snap: Understanding Training Dynamics and Token Composition in 1-layer Transformer

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization An Introduction to Matrix Concentration Inequalities

Reference 46

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Attention Is All You Need

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers learn in-context by gradient descent

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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Linformer: Self-Attention with Linear Complexity

Reference 49

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This paper cites Transformers Provably Learn Sparse Token Selection While Fully-Connected Nets Cannot.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers Provably Learn Sparse Token Selection While Fully-Connected Nets Cannot

Reference 50

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This paper cites Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Statistically Meaningful Approximation: a Case Study on Approximating Turing Machines with Transformers

Reference 51

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This paper cites Training Dynamics of Transformers to Recognize Word Co-occurrence via Gradient Flow Analysis.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Training Dynamics of Transformers to Recognize Word Co-occurrence via Gradient Flow Analysis

Reference 52

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This paper cites Self-Attention Networks Can Process Bounded Hierarchical Languages.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Self-Attention Networks Can Process Bounded Hierarchical Languages

Reference 53

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This paper cites Are Transformers universal approximators of sequence-to-sequence functions?.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Are Transformers universal approximators of sequence-to-sequence functions?

Reference 54

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This paper cites Global Convergence of Block Coordinate Descent in Deep Learning.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Global Convergence of Block Coordinate Descent in Deep Learning

Reference 55

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This paper cites Transformers are Efficient Compilers, Provably.

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization Transformers are Efficient Compilers, Provably

Reference 56

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