TAG ARCHIVE

mathematical-proof

1 MARIA OS blog articles tagged mathematical-proof, organized as a Bonginkan topic archive for search engines and LLM retrieval.

1 article|Published by Bonginkan

Responsibility Gates and AI Governance

Safety, accountability, fail-closed gates, auditability, and human-in-the-loop control for AI agents.

Multi-Agent Mathematics

Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.

Evidence, RAG, and Knowledge Governance

Evidence bundles, retrieval architecture, Graph RAG, knowledge trust, and auditable reasoning pipelines.

MathematicsJanuary 26, 202622 min read

MAX vs Average Scoring: A Mathematical Analysis of Fail-Closed Gate Design

Why average-score gates structurally fail and how MAX-based scoring achieves zero false-acceptance under defined conditions

Average-score gating can dilute critical risk signals by construction. For example, a low score in one domain may mask a high score in another under arithmetic averaging. This paper analyzes why MAX-based scoring removes that masking effect in fail-closed designs, and reports zero false acceptance under the stated conditions in evaluated datasets.

fail-closedgate-designrisk-scoringmathematical-prooffalse-acceptancesafety