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Navigating Cognitive Manifolds: Optimal Transport for Large Language Model Optimization

Knowledge Fitness Criterion: Measure-Theoretic Knowledge Assessment via Manifolds for Multi-Agent LLM Systems

Multi-Dimensional Constraint Integration Method for Large Language Models via Lyapunov Stability Theory

Learning from Mixed-Quality Data via Exploration-Guided Cognitive Manifolds

Semantic-Guided Hierarchical Stackelberg Games for Multi-Agent Coordination with Fuzzy Constraints

Geometric Projection of Information Manifolds for Robust Decision-Making with LLMs in Adversarial Driving Environments