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基於卷積神經網絡的Gray-Scott模型圖像分類算法

Image classification algorithm of Gray-Scott model based on convolutional neural

  • 摘要: 利用Gray-Scott反應擴散模型討論圖靈斑圖的分類算法🧍🏻‍♂️。利用線性穩定性理論分析了系統的共存平衡點,在模型中加入擴散項會產生不同類型的斑圖。使用單層卷積神經網絡代替多層算法特征工程來對生成的斑圖進行分類。使用與特征 X 相關的數據特征 X - X^3 \nabla X 來表示復雜圖案數據的界面和塊狀區域。在神經網絡和聚類算法中使用 X - X^3 \nabla X 進行分類。數值結果驗證了該方法的有效性。

     

    Abstract: The classification algorithm of Turing pattern with the help of Gray-Scott reaction-diffusion model was investigated. The linear stability theory was used to analyze the coexistence balance point of the system and ensure the different types of patterns produced by Turing instability. Convolutional neural networks instead of multi-layer algorithm feature engineering were adopted to classify the generated patterns. Data features X - X^3 and \nabla X that are more meaningful than X was used to represent the interface and main area of complex pattern data. Therefore, X - X^3 and \nabla X were employed to realize the classification in neural networks and clustering algorithms. It was found that the effectiveness of the method was verified by the results.

     

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