Towards Sharper Generalization Bounds for Structured Prediction

Authors: Shaojie Li, Yong Liu

NeurIPS 2021 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we investigate the generalization performance of structured prediction learning and obtain state-of-the-art generalization bounds. Our analysis is based on factor graph decomposition of structured prediction algorithms, and we present novel margin guarantees from three different perspectives: Lipschitz continuity, smoothness, and space capacity condition. The proof of Theorem 1 is provided in Appendix A. We believe our theoretical findings can provide deep insights into the learning guarantees of structured prediction. Additionally, we are also concerned about whether the convergence rate of structured prediction can reach faster order than O(1/n)? We will investigate this problem in future work and design new algorithms based on our theoretical analysis.
Researcher Affiliation Academia Shaojie Li1,2 Yong Liu1,2, 1Gaoling School of Artificial Intelligence, Renmin University of China, Beijing, China 2Beijing Key Laboratory of Big Data Management and Analysis Methods, Beijing, China 2020000277@ruc.edu.cn, liuyonggsai@ruc.edu.cn
Pseudocode No The paper does not contain any pseudocode or clearly labeled algorithm blocks. It focuses on theoretical derivations and mathematical proofs.
Open Source Code No The paper does not mention or provide any links to open-source code for the methodology described.
Open Datasets No The paper is theoretical and focuses on generalization bounds. While it refers to a "training set S" in its theoretical framework (Section 2, Learning), it does not describe using any specific public or open dataset for empirical evaluation, nor does it provide access information for any dataset it might have used for such purposes.
Dataset Splits No The paper is theoretical and does not describe any empirical experiments or dataset splits for training, validation, or testing.
Hardware Specification No The paper is theoretical and does not describe any empirical experiments, thus no hardware specifications are mentioned.
Software Dependencies No The paper is theoretical and does not describe any empirical experiments, thus no software dependencies are mentioned.
Experiment Setup No The paper is theoretical and does not describe any empirical experiments, thus no experimental setup details like hyperparameters or training configurations are provided.