USFT Harmony Index: A Minimal Metric for Semantic Stability in Large Language Models
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2025
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| _version_ | 1866901967019704320 |
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| author | Tanaka, Yusuke |
| author_facet | Tanaka, Yusuke |
| contents | <h2><strong>Extended Abstract (English)</strong></h2> <p>This record provides the extended abstract for the <em>Harmony Index</em>,<br>Core Theory #4 of the <strong>Unified Structural Field Theory (USFT)</strong>.<br>Harmony Index is a minimal, model-agnostic metric for quantifying<br>semantic stability in large language models (LLMs) using only text outputs.</p> <p>The method evaluates whether meaning remains consistent across small,<br>meaning-preserving perturbations of prompts, offering a fully reproducible<br>and computationally lightweight metric.</p> <p>This abstract accompanies a short communication currently under review<br>at <em>Patterns</em> (Cell Press).</p> <p>The Harmony Index bridges the other components of USFT:</p> <ul> <li> <p><strong>Minimal Kernel Theory (MKT)</strong>: measures stability of curvature,<br>connection, and metric in meaning space.</p> </li> <li> <p><strong>Hyper-Intersubjectivity Theory (HIT)</strong>: measures alignment across agents.</p> </li> <li> <p><strong>Harmonic Circulation Theory (HCT)</strong>: describes stability–fluctuation–<br>recovery dynamics.</p> </li> </ul> <p>This record establishes the conceptual foundation and future trajectory<br>for Harmony Index within the broader USFT program.</p> <h2><strong>拡張要旨(日本語)</strong></h2> <p>このレコードは、統合構造場理論(USFT)の第4理論<br><strong>「調和指数理論(Harmony Index)」</strong> の拡張要旨を公開するものです。</p> <p>Harmony Index は、大規模言語モデル(LLM)における<br><strong>「意味保存パラフレーズに対する応答の一貫性」</strong> を、<br>モデル内部情報に一切依存せず <strong>テキスト出力のみで測定する最小構造的指標</strong> です。</p> <p>これは現在、Cell Press の <em>Patterns</em> 誌に査読中の短報に対応しています。</p> <p>Harmony Index は USFT の他理論とも密接に連携します:</p> <ul> <li> <p><strong>最小核理論(MKT)</strong>:意味空間の曲率・接続・度量の安定性を定量化</p> </li> <li> <p><strong>超間主観理論(HIT)</strong>:複数主体・複数モデル間の意味構造の一致度を測定</p> </li> <li> <p><strong>調和循環構造理論(HCT)</strong>:安定 → 変動 → 回復の動的挙動を記述</p> </li> </ul> <p>本レコードは、AI応用における USFT 理論体系の重要な入り口を形成し、<br>今後の研究展開への基盤を提供するものです。</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17877854 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | USFT Harmony Index: A Minimal Metric for Semantic Stability in Large Language Models Tanaka, Yusuke Harmony Index Semantic Stability Large Language Models USFT Unified Structural Field Theory Minimal Kernel Theory Hyper-Intersubjectivity AI Evaluation Prompt Robustness <h2><strong>Extended Abstract (English)</strong></h2> <p>This record provides the extended abstract for the <em>Harmony Index</em>,<br>Core Theory #4 of the <strong>Unified Structural Field Theory (USFT)</strong>.<br>Harmony Index is a minimal, model-agnostic metric for quantifying<br>semantic stability in large language models (LLMs) using only text outputs.</p> <p>The method evaluates whether meaning remains consistent across small,<br>meaning-preserving perturbations of prompts, offering a fully reproducible<br>and computationally lightweight metric.</p> <p>This abstract accompanies a short communication currently under review<br>at <em>Patterns</em> (Cell Press).</p> <p>The Harmony Index bridges the other components of USFT:</p> <ul> <li> <p><strong>Minimal Kernel Theory (MKT)</strong>: measures stability of curvature,<br>connection, and metric in meaning space.</p> </li> <li> <p><strong>Hyper-Intersubjectivity Theory (HIT)</strong>: measures alignment across agents.</p> </li> <li> <p><strong>Harmonic Circulation Theory (HCT)</strong>: describes stability–fluctuation–<br>recovery dynamics.</p> </li> </ul> <p>This record establishes the conceptual foundation and future trajectory<br>for Harmony Index within the broader USFT program.</p> <h2><strong>拡張要旨(日本語)</strong></h2> <p>このレコードは、統合構造場理論(USFT)の第4理論<br><strong>「調和指数理論(Harmony Index)」</strong> の拡張要旨を公開するものです。</p> <p>Harmony Index は、大規模言語モデル(LLM)における<br><strong>「意味保存パラフレーズに対する応答の一貫性」</strong> を、<br>モデル内部情報に一切依存せず <strong>テキスト出力のみで測定する最小構造的指標</strong> です。</p> <p>これは現在、Cell Press の <em>Patterns</em> 誌に査読中の短報に対応しています。</p> <p>Harmony Index は USFT の他理論とも密接に連携します:</p> <ul> <li> <p><strong>最小核理論(MKT)</strong>:意味空間の曲率・接続・度量の安定性を定量化</p> </li> <li> <p><strong>超間主観理論(HIT)</strong>:複数主体・複数モデル間の意味構造の一致度を測定</p> </li> <li> <p><strong>調和循環構造理論(HCT)</strong>:安定 → 変動 → 回復の動的挙動を記述</p> </li> </ul> <p>本レコードは、AI応用における USFT 理論体系の重要な入り口を形成し、<br>今後の研究展開への基盤を提供するものです。</p> |
| title | USFT Harmony Index: A Minimal Metric for Semantic Stability in Large Language Models |
| topic | Harmony Index Semantic Stability Large Language Models USFT Unified Structural Field Theory Minimal Kernel Theory Hyper-Intersubjectivity AI Evaluation Prompt Robustness |
| url | https://doi.org/10.5281/zenodo.17877854 |