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Hongkang Li

14 accepted papers

2026

A Theoretical Analysis of Mamba’s Training Dynamics: Filtering Relevant Features for Generalization in State Space Models

ICLR 2026poster

The recent empirical success of Mamba and other selective state space models (SSMs) has renewed interest in non-attention architectures for sequence modeling, yet their theoretical foundations remain underexplored. We present a first-step analysis of generalization and learning dynamics for a simpli…

Cited by 3SourceScholar
2026

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

ICML 2026poster

The Mamba model has gained significant attention for its computational advantages over Transformer-based models, while achieving comparable performance across a wide range of language tasks. Like Transformers, Mamba exhibits in-context learning (ICL) capabilities, i.e., making predictions for new ta…

Cited by 0SourceScholar
2025

Contrastive Learning with Data Misalignment: Feature Purity, Training Dynamics and Theoretical Generalization Guarantees

NeurIPS 2025poster

Contrastive learning is a powerful framework for learning discriminative representations from image-text pairs. Despite its success, its theoretical foundations, especially when the image-text pair exhibits misalignment, remain underexplored. This paper provides the first theoretical analysis of c…

Cited by 0SourceScholar
2025

Node Identifiers: Compact, Discrete Representations for Efficient Graph Learning

ICLR 2025poster

We present a novel end-to-end framework that generates highly compact (typically 6-15 dimensions), discrete (int4 type), and interpretable node representations—termed node identifiers (node IDs)—to tackle inference challenges on large-scale graphs. By employing vector quantization, we compress conti…

2025

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

ICLR 2025poster

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 intermediate steps. Despite the empirical success, the theoretical understanding of how to train a Transformer to achieve…

Cited by 3SourcePDFScholar
2025

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

ICLR 2025oral

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 for certain tasks. This approach recently gained attention as a computationally efficient inference method for model ed…

Cited by 0SourcePDFScholar
2024

Enhancing Graph Transformers with Hierarchical Distance Structural Encoding

NeurIPS 2024poster

Graph transformers need strong inductive biases to derive meaningful attention scores. Yet, current methods often fall short in capturing longer ranges, hierarchical structures, or community structures, which are common in various graphs such as molecules, social networks, and citation networks. Thi…

2024

How Can Personalized Context Help? Exploring Joint Retrieval of Passage and Personalized Context

ICASSP 2024accepted

The integration of external personalized context information into document-grounded conversational systems has significant potential business value, but has not been well-studied. Motivated by the concept of personalized context-aware document-grounded conversational systems, we introduce the task o…

Cited by 0SourceScholar
2024

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

ICML 2024poster

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 augmenting the query with some input-output examples from that task. Despite the empirical success, the mechanics of how to…

Cited by 14SourcePDFScholar
2024

What Improves the Generalization of Graph Transformers? A Theoretical Dive into the Self-attention and Positional Encoding

ICML 2024poster

Graph Transformers, which incorporate self-attention and positional encoding, have recently emerged as a powerful architecture for various graph learning tasks. Despite their impressive performance, the complex non-convex interactions across layers and the recursive graph structure have made it chal…

Cited by 16SourcePDFScholar
2023

A Theoretical Understanding of Shallow Vision Transformers: Learning, Generalization, and Sample Complexity

ICLR 2023poster

Vision Transformers (ViTs) with self-attention modules have recently achieved great empirical success in many vision tasks. Due to non-convex interactions across layers, however, the theoretical learning and generalization analysis is mostly elusive. Based on a data model characterizing both label-r…

Cited by 83SourcePDFScholar
2023

On the Convergence and Sample Complexity Analysis of Deep Q-Networks with $\epsilon$-Greedy Exploration

NeurIPS 2023poster

This paper provides a theoretical understanding of deep Q-Network (DQN) with the $\varepsilon$-greedy exploration in deep reinforcement learning. Despite the tremendous empirical achievement of the DQN, its theoretical characterization remains underexplored. First, the exploration strategy is either…

Cited by 27SourcePDFScholar
2022

Generalization Guarantee of Training Graph Convolutional Networks with Graph Topology Sampling

ICML 2022spotlight

Graph convolutional networks (GCNs) have recently achieved great empirical success in learning graph-structured data. To address its scalability issue due to the recursive embedding of neighboring features, graph topology sampling has been proposed to reduce the memory and computational cost of trai…

Cited by 31SourcePDFScholar