arXiv:2607.07762cs.LGmath.OC2026-07综述

用组合优化提升机器学习的可信度,实现更透明、公平、安全的模型。

Trustworthy Machine Learning through the Lens of Combinatorial Optimization: Survey and Research Perspectives

  • 引入组合优化框架,系统分析模型的可解释性与鲁棒性差异。
  • 提供全局保证与形式化证书,突破传统方法的局部局限。
  • 适合关注模型审计、合规性与安全性的研究人员和工程师。

现代机器学习依赖复杂模型,其行为难以仅凭经验性能指标描述。在预测、生成和决策等任务中,表现相似的模型可能在透明度、可解释性、鲁棒性、公平性、隐私保护和可验证性方面存在显著差异。本综述指出,优化与认证导向的推理可为理解这些差异提供有力框架,支持模型训练、选择、审计与认证等任务。我们综述了组合优化(CO)与可信机器学习交叉领域的最新进展,涵盖训练与后训练阶段,包括可解释模型学习、解释生成、鲁棒性分析、公平性审计、模型压缩,以及隐私攻击与防护。在此类任务中,组合优化相较于纯启发式或基于梯度的方法,具备全局保证、形式化证书及显式处理权衡的优势。尽管可扩展性仍是挑战,但求解器与混合算法的持续进步预示着组合优化将在可信机器学习系统的设计与部署中发挥更大作用。

原文摘要 · Abstract (English)

Modern machine learning (ML) increasingly relies on complex models whose behavior is difficult to characterize beyond empirical performance metrics. Across a wide range of tasks, including prediction, generation, and decision-making, models with similar empirical performance can exhibit markedly different properties in terms of their transparency, interpretability, robustness, fairness, privacy, and certifiability. This survey highlights how optimization- and certification-oriented reasoning can provide a useful framework for reasoning about such differences, supporting tasks ranging from model training and selection to auditing and certification. We review and synthesize recent advances at the intersection of combinatorial optimization (CO) and trustworthy ML, covering both training and post-training tasks, including interpretable model learning, explanation generation, robustness analysis, fairness auditing, model compression, and privacy attacks and protections. Across these domains, CO formulations offer additional capabilities over purely heuristic approaches, e.g., gradient-based ones, notably global guarantees, formal certificates, and explicit treatment of trade-offs. While scalability remains an important challenge, continued progress in solvers and hybrid algorithms suggests a growing role for CO in the design and deployment of trustworthy ML systems.

可信AI组合优化模型审计公平性

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