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A brief overview of our methodology is provided on the Methods page, along with references to publications documenting our approach and links to the code and data used in each study.


The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates.

Convergence of Mean-Field Langevin Stochastic Descent-Ascent for Distributional Minimax Optimization

Authors: Zhangyi Liu, Feng Liu, Rui Gao, Shuang Li

ICML 2025 | Venue PDF | LLM Run Details | Input Tokens: 32,632 Total number of tokens sent to the LLM as input for this paper's analysis. | Output Tokens: 2,767 Total number of tokens produced by the LLM (including reasoning/thinking tokens) for this paper's analysis.

Reproducibility Variable Result LLM Response
Research Type Theoretical We study convergence properties of the discrete-time Mean-Field Langevin Stochastic Descent Ascent (MFL-SDA) algorithm for solving distributional minimax optimization. ... To address this gap, we establish a last-iterate convergence rate of O( 1 /ϵ) for MFL-SDA.
Researcher Affiliation Academia 1Department of Mathematical Sciences, Tsinghua University, Beijing, China 2 School of Economics and Management, University of the Chinese Academy of Sciences, Beijing, China 3Department of Information, Risk, and Operations Management, University of Texas at Austin, Austin, USA 4School of Data Science, The Chinese University of Hong Kong (Shenzhen), Shenzhen, China.
Pseudocode Yes Algorithm 1 Mean field Langevin Stochastic Descent Ascent (MFL-SDA)
Open Source Code No The paper does not provide any explicit statements about open-source code availability, specific repository links, or mentions of code in supplementary materials for the described methodology.
Open Datasets No The paper discusses applications like zero-sum games, generative adversarial networks (GANs), and mean-field neural networks as examples for its theoretical framework, but it does not present any empirical studies using specific datasets or provide access information for any open datasets.
Dataset Splits No The paper is theoretical and does not describe any experiments that would involve datasets, and therefore, no dataset splits are mentioned.
Hardware Specification No The paper is theoretical and focuses on convergence analysis. It does not describe any computational experiments or their hardware requirements.
Software Dependencies No The paper focuses on theoretical analysis and does not mention any specific software, libraries, or programming languages with version numbers required for reproducibility.
Experiment Setup No The paper is theoretical and does not describe any experimental setup details, hyperparameters, or training configurations.