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今天的主题是：
MLP-KAN: Unifying Deep Representation and Function Learning
Source: He, Y., Xie, Y., Yuan, Z., & Sun, L. (2024). MLP-KAN: Unifying Deep Representation and Function Learning. arXiv preprint arXiv:2410.03027.
Authors: Yunhong He, Yifeng Xie, Zhengqing Yuan, Lichao Sun
Key Insight: This paper proposes MLP-KAN, a novel framework combining Multi-Layer Perceptrons (MLPs) for representation learning and Kolmogorov-Arnold Networks (KANs) for function learning within a Mixture-of-Experts (MoE) architecture. This approach eliminates manual model selection for different tasks, dynamically adapting to dataset characteristics.
Main Themes:
- Unifying Representation and Function Learning:
- Traditionally, deep learning models specialized in either representation or function learning.
- MLP-KAN aims to bridge this gap by incorporating both MLP and KAN experts within a single model.
- "MLP-KAN was developed to address the problem users encounter when determining whether to apply representation learning or function learning models across diverse datasets."
- Mixture-of-Experts (MoE) Architecture:
- The MoE framework dynamically routes input data to the most suitable expert (MLP or KAN).
- This allows the model to adapt to different task requirements and data characteristics.
- "Within the architecture of MLP-KAN, Multi-Layer Perceptrons (MLPs) function as representation experts, while Kernel Attention Networks (KANs) are designated as function experts. The MoE mechanism efficiently routes inputs to the appropriate expert, significantly enhancing both efficiency and performance across a diverse range of tasks."
- Benefits of MLP-KAN:
- Eliminates the need for manual model selection based on datasets.
- Achieves high performance in both representation and function learning tasks.
- Demonstrates versatility and adaptability across diverse domains, including computer vision, natural language processing, and symbolic formula representation.
- "MLP-KAN effectively combines the strengths of both, ensuring strong performance in representation and function learning, and eliminating the need for task-specific model selection."
Important Findings:
- Function Learning: MLP-KAN consistently outperformed both MLP and KAN on the Feynman dataset, achieving significantly lower RMSEs across various equations. Notably, it excelled in capturing both basic and complex functional relationships, even with fewer parameters than traditional MLPs.
- "Across almost all equations, MLP-KAN consistently outperforms both KAN and MLP, often achieving RMSEs that are orders of magnitude smaller. This consistent superiority highlights MLP-KAN’s versatility and adaptability to both simple and complex mathematical forms, making it the most robust and efficient solution for function learning across diverse domains."
- Representation Learning: MLP-KAN achieved competitive results on image classification datasets (CIFAR-10, CIFAR-100, mini-ImageNet), achieving near state-of-the-art performance. Additionally, it achieved superior results on the sentiment analysis dataset SST-2.
- "MLP-KAN excels in the NLP task on the SST2 dataset, achieving the best results with an accuracy of 0.935 and an F1 score of 0.933. This superior performance highlights MLP-KAN’s versatility and robustness in handling not only image data but also text data, making it an excellent choice for representation learning."
- Ablation Studies: Increasing the number of experts in the MoE generally improved performance up to a point (8 experts), beyond which gains were marginal. Setting Top-K to 2 yielded the best performance, suggesting a balance between expert selection and computational efficiency.
Implications:
- MLP-KAN simplifies model selection for complex tasks by dynamically adapting to data characteristics.
- The integration of representation and function learning within a single framework opens new possibilities for tackling more challenging AI problems.
- Future research could explore the application of MLP-KAN in other domains and investigate the impact of different expert architectures within the MoE framework.
Overall: This paper presents a compelling solution for unifying representation and function learning with promising results. MLP-KAN demonstrates strong potential to simplify model development and enhance performance across diverse AI tasks.
原文链接：https://arxiv.org/abs/2410.03027
