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Explore the mathematical foundations of trajectory inference stability in this 32-minute conference lecture from the Workshop on "Probabilistic Mass Transport - from Schrödinger to Stochastic Analysis" at the Erwin Schrödinger International Institute. Examine how biological development can be modeled as curves in the space of gene expression distributions and learn about inferring these trajectories from sample data. Discover the application of optimal transport (OT) methods for interpolating between different distributions, building upon the foundational work of Schiebinger et al. Investigate the crucial question of stability in OT-based trajectory inference methods through ongoing collaborative research with Geoff Schiebinger and Rentian Yao. Gain insights into the intersection of optimal transport theory, biological modeling, and computational methods for understanding developmental processes through mathematical analysis of distribution spaces.
