Self-Evaluating Large Language Models: A Hybrid Least-Squares Learning and Reinforcement Planning Architecture for Reliable AI Decision Support

Authors

  • Eustin Gark Department of Computer Science, University of New Hampshire, Durham, NH, USA. Author
  • Wenheng Xiong School of Information Technology, University of Cincinnati, Cincinnati, OH, USA. Author

Keywords:

large language models, self-evaluation, least-squares learning, reinforcement planning, hybrid architecture, AI reliability, decision support systems, robustness, fairness, governance

Abstract

Large language models have demonstrated remarkable fluency and reasoning capabilities, yet their deployment in high-stakes decision support systems remains fraught with challenges related to reliability, calibration, and alignment. This paper proposes a hybrid architecture that integrates least-squares learning with reinforcement planning to enable self-evaluating large language models. The framework leverages a least-squares component for efficient uncertainty quantification and parameter estimation from observed outcomes, while a reinforcement planning module provides deliberative, goal-directed reasoning over long horizons. By coupling these two paradigms within a unified system, the model can continuously evaluate its own predictions, detect potential errors, and adjust its planning strategy in real time. We examine the structural trade-offs inherent in such an architecture, including the balance between computational efficiency and representational capacity, the tension between exploration and exploitation in planning, and the implications for robustness under distributional shift. Deployment considerations are discussed with respect to infrastructure requirements, latency constraints, and energy sustainability. Governance and fairness challenges are analyzed through the lens of algorithmic accountability, bias propagation, and the need for transparent self-evaluation mechanisms. Cross-domain comparisons from autonomous driving, clinical decision support, and financial risk assessment illustrate the transferability of the hybrid approach. The paper concludes with a forward-looking discussion on the policy implications of self-evaluating AI systems and the necessity of multi-stakeholder oversight.

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Published

2026-06-03

How to Cite

Self-Evaluating Large Language Models: A Hybrid Least-Squares Learning and Reinforcement Planning Architecture for Reliable AI Decision Support. (2026). Journal of Data Intelligence and AI Systems, 1(1). https://www.jdataai.org/index.php/home/article/view/36