サイクロステーションプロセスにおける無記憶および永続的ノイズ下での梁・クリーマン情報流推定のための線形逆モデリングアプローチ
Justin Lien1, Hiroyasu Ando2, Yong-Yub Kim3
1Tohoku University, Mathematical Institute, Sendai, Japan.
Physical review. E
|December 23, 2025
まとめ
梁・クリーマン(LK)情報流と線形逆モデリング(LIM)を組み合わせた新しいデータ駆動型手法を導入し、因果関係とシステムダイナミクスを定量化する。このフレームワークは、エントロピー移転を明らかにし、海洋変動性に関する洞察を提供する。
科学分野:
- 地球・環境科学
- 海洋学
- 気候科学
背景:
- 梁・クリーマン(LK)情報流は、変数間の因果関係を定量化します。
- 線形逆モデリング(LIM)は、入力データからシステムダイナミクスを研究します。
研究 の 目的:
- LK情報流とLIMをデータ駆動型フレームワーク(LIM-LK)に統合することを目的とします。
- 情報流を推定し、因果関係とシステムダイナミクスを定量化することを目的とします。
- 環境からシステムへのエントロピー移転を分析することを目的とします。
主な方法:
- データ駆動型アプローチであるLIM-LKフレームワークを開発しました。
- 観測データからLK情報流を推定するためにLIMを適用しました。
- 状態変数間の因果関係とエントロピー移転を定量化しました。
主要な成果:
- LIM-LKフレームワークは、情報流を効果的に推定し、因果関係とシステムダイナミクスを関連付けます。
- 確率論的強制を介した環境からのエントロピー移転を定量化しました。
- 太平洋・インド洋の相互作用への応用を実証しました。
結論:
- 統合されたLIM-LKフレームワークは、複雑なシステムに対する因果関係と動的な洞察を提供します。
- 海洋変動性と季節変調を分析するための新しい方法を提供します。
- データ駆動型モデリングにおける因果関係とダイナミクスの統合の重要性を強調しています。
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