arXiv Machine Learning By Kenji Komiya, Andrew Kailiang Jin, Ryo Nishikimi, Kunio Kashino

TI$^2$PS: A Topology-Informed Inverse Design Framework for Stochastic Multicellular Pattern Formation

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The paper introduces TI$^2$PS, a topology-informed inverse design framework that estimates agent-based model parameters to reproduce target multicellular patterns. It combines Betti vectors from topological data analysis with inverse surrogate modeling to address challenges in parameter estimation and topological evaluation under stochastic cell dynamics. Validation on zebrafish pigment pattern formation shows the framework outperforms conventional methods, achieving superior results with only 10% of the training data.

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