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Arithmetic Transformers Can Length-Generalize in Both Operand Length and Count
Hanseul Cho, Jaeyoung Cha, Srinadh Bhojanapalli +1
Transformers often struggle with length generalization, meaning they fail to generalize to sequences longer than those encountered during training. While arithmetic tasks are commo…
Position Coupling: Improving Length Generalization of Arithmetic Transformers Using Task Structure
Hanseul Cho, Jaeyoung Cha, Pranjal Awasthi +3
Even for simple arithmetic tasks like integer addition, it is challenging for Transformers to generalize to longer sequences than those encountered during training. To tackle this…
Fundamental Benefit of Alternating Updates in Minimax Optimization
Jaewook Lee, Hanseul Cho, Chulhee Yun
The Gradient Descent-Ascent (GDA) algorithm, designed to solve minimax optimization problems, takes the descent and ascent steps either simultaneously (Sim-GDA) or alternately (Alt…