The YZ Lab
Our lab develops novel machine learning methodologies motivated by challenges in biomedical discovery and scientific understanding. We are particularly interested in integrating ideas from geometry, dynamical systems, optimal transport, and representation learning to build mathematically grounded AI systems for complex biological and high-dimensional data.
Our current research focuses include:
- Generative AI: Flow matching, diffusion models, and optimal transport for cellular dynamics and trajectory inference
- Geometric Deep Learning: Diffusion geometry and manifold learning for single-cell and high-dimensional biomedical data
- Signal Processing: Graph signal processing and PDE-inspired methods for molecular and structural biology
- Brain Decoding: Neural representation learning and dynamical analysis of brain activity and neural systems
- Learning Theory: Theoretical foundations of machine learning, including geometry-aware learning and information-theoretic approaches
By bridging modern machine learning with advanced mathematics, our goal is to develop robust, interpretable, and scientifically meaningful AI methods that advance biomedical research and our understanding of complex systems.
We are hiring PhDs, Postdocs, & Visiting Researchers! Contact Us or Join Us if you are interested!
News
| May 28, 2026 | I will be joining the School of Computing at Queen’s University as an Assistant Professor starting July 2026. |
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| May 28, 2026 | New preprint on Path-independent Multi-parameter Flow Matching is available on arXiv: PiFM. |
| May 01, 2025 | Paper accepted at ICASSP 2025: Principal Curvatures Estimation with Applications to Single Cell Data. |
| Apr 01, 2025 | Paper accepted at Frontiers in Psychiatry: Deep Multimodal Representations and Classification of First-Episode Psychosis via Live Face Processing. |
| Jan 15, 2025 | Paper accepted at ICLR 2025: AdaFisher: Adaptive Second Order Optimization via Fisher Information. |
Selected Publications
- ICLRAdaFisher: Adaptive Second Order Optimization via Fisher InformationIn International Conference on Learning Representations , 2025
- ICASSPPrincipal Curvatures Estimation with Applications to Single Cell DataIn IEEE International Conference on Acoustics, Speech and Signal Processing , 2025
- Front. Psych.Deep Multimodal Representations and Classification of First-Episode Psychosis via Live Face ProcessingFrontiers in Psychiatry, 2025
- IEEE TPAMINeural FIM: Bridging Statistical Manifolds and Generative Modeling through Fisher GeometryIEEE Transactions on Pattern Analysis and Machine Intelligence, 2025Under Review
- Nat. Comp. Sci.Neurospectrum: A Geometric and Topological Deep Learning Framework for Uncovering Spatiotemporal Signatures in Neural ActivityNature Computational Science, 2025Under Review
- TMLRImproving and Generalizing Flow-Based Generative Models with Minibatch Optimal TransportTransactions on Machine Learning Research, 2023