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cs.LG2026

How Can Mamba Learn In Context with Outliers and Generalize Provably?

Hongkang Li, Songtao Lu, Xiaodong Cui +2

The Mamba model has gained significant attention for its computational advantages over Transformer-based models, while achieving comparable performance across a wide range of langu…

cs.LG2025

When is Task Vector Provably Effective for Model Editing? A Generalization Analysis of Nonlinear Transformers

Hongkang Li, Yihua Zhang, Shuai Zhang +3

Task arithmetic refers to editing the pre-trained model by adding a weighted sum of task vectors, each of which is the weight update from the pre-trained model to fine-tuned models…

cs.LG2025

Training Nonlinear Transformers for Chain-of-Thought Inference: A Theoretical Generalization Analysis

Hongkang Li, Songtao Lu, Pin-Yu Chen +2

Chain-of-Thought (CoT) is an efficient prompting method that enables the reasoning ability of large language models by augmenting the query using multiple examples with multiple in…

cs.LG2024

SF-DQN: Provable Knowledge Transfer using Successor Feature for Deep Reinforcement Learning

Shuai Zhang, Heshan Devaka Fernando, Miao Liu +5

This paper studies the transfer reinforcement learning (RL) problem where multiple RL problems have different reward functions but share the same underlying transition dynamics. In…

cs.LG2024

Learning on Transformers is Provable Low-Rank and Sparse: A One-layer Analysis

Hongkang Li, Meng Wang, Shuai Zhang +2

Efficient training and inference algorithms, such as low-rank adaption and model pruning, have shown impressive performance for learning Transformer-based large foundation models.…

cs.LG2024

How Do Nonlinear Transformers Learn and Generalize in In-Context Learning?

Hongkang Li, Meng Wang, Songtao Lu +2

Transformer-based large language models have displayed impressive in-context learning capabilities, where a pre-trained model can handle new tasks without fine-tuning by simply aug…