Geometric constructive network with block increments for lightweight data-driven industrial process modeling

Industrial data-driven models may require frequent reconstruction to maintain model performance due to the dynamics, uncertainty, and complexity of industrial processes. The infrastructure of the industrial processes is usually distributed control systems (DCS) with energy-sensitive and resource-constrained. In this context, this article proposes a geometric constructive network with block increments (BI-GCN) to reduce the modeling consumption while achieving comparable accuracy. First, this article proposes a geometric control strategy with block increments, which is capable of adding multiple nodes to the BI-GCN simultaneously. Second, this article demonstrates the universal approximation property of BI-GCN, which in turn guarantees the potential high performance of BI-GCN for modeling tasks. Finally, experiments on benchmark datasets and the grinding process show that BI-GCN can effectively reduce the number of iterations in the modeling process while maintaining comparable accuracy.