most citedAre Transformers universal approximators of sequence-to-sequence functions?

44 citations · 80 across the 4 of their papers we have counts for

collaborators

5 papers

math.OC202011 cited

SGD with shuffling: optimal rates without component convexity and large epoch requirements

Kwangjun Ahn, Chulhee Yun, Suvrit Sra

We study without-replacement SGD for solving finite-sum optimization problems. Specifically, depending on how the indices of the finite-sum are shuffled, we consider the RandomShuf…

cs.LG202011 cited

Minimum Width for Universal Approximation

Sejun Park, Chulhee Yun, Jaeho Lee +1

The universal approximation property of width-bounded networks has been studied as a dual of classical universal approximation results on depth-bounded networks. However, the criti…

cs.LG202014 cited

Low-Rank Bottleneck in Multi-head Attention Models

Srinadh Bhojanapalli, Chulhee Yun, Ankit Singh Rawat +2

Attention based Transformer architecture has enabled significant advances in the field of natural language processing. In addition to new pre-training techniques, recent improvemen…

cs.LG201944 cited

Are Transformers universal approximators of sequence-to-sequence functions?

Chulhee Yun, Srinadh Bhojanapalli, Ankit Singh Rawat +2

Despite the widespread adoption of Transformer models for NLP tasks, the expressive power of these models is not well-understood. In this paper, we establish that Transformer model…

cs.LG2019

Are deep ResNets provably better than linear predictors?

Chulhee Yun, Suvrit Sra, Ali Jadbabaie

Recent results in the literature indicate that a residual network (ResNet) composed of a single residual block outperforms linear predictors, in the sense that all local minima in…