Matthew Levine

Matthew Levine

Research Scientist

Basis Research Institute

About me

Welcome! I am a Research Scientist at Basis, a non-profit research institute with offices in Cambridge, MA and New York, NY. My work focuses on improving the prediction and inference of biological and physical systems by blending machine learning, mechanistic modeling, and data assimilation techniques. I aim to build robust, unifying theory for these approaches, as well as develop concrete applications. I have worked substantially in the biomedical sciences, and enjoy collaborating on impactful applied projects. I am also an affiliate of the MIT Uncertainty Quantification group and Broad Institute’s Eric and Wendy Schmidt Center.

I am always interested in developing new collaborations. If you think our work is complementary, please send me a message!

Updates:

  • Canonical Bayesian Linear System Identification: a new paper demonstrating (theory+examples) how to perform identifiable Bayesian system ID for noisy, partially-observed linear dynamical systems. It combines classical ideas from control theory and Bayesian inference, and was inspired by challenges faced when learning dynamical systems from data with uncertainty. Often, there are many symmetries (e.g., permutations/rotations of hidden variables) that make inference challenging and often wasteful—we directly solve this problem for linear dynamical systems, and hope these results can move us closer towards addressing the same challenge in non-linear Bayesian system ID.

  • CD_Dynamax: a new JAX repository for learning dynamical systems from irregularly sampled, partially observed, noisy time-series data (extends discrete-time state-space approach in Dynamax). Joint with Iñigo Urteaga at BCAM.

  • May 2023: I defended my PhD thesis Machine Learning and Data Assimilation for Blending Incomplete Models and Noisy Data. I graduated with a PhD in computing and mathematical sciences at Caltech advised by Andrew Stuart. I am grateful to Andrew for his mentorship and support throughout my PhD. I am also grateful to my committee members, Yisong Yue, Houman Owhadi, and Katie Bouman for their insightful feedback and guidance.

Interests

  • Dynamical Systems
  • Machine Learning
  • Data Assimilation
  • Biomedicine

Education

  • PhD in Computing + Mathematical Sciences, 2023

    Caltech

  • BA in Biophysics, 2015

    Columbia University

Recent Publications

Continuum Attention for Neural Operators
Hybrid Square Neural ODE Causal Modeling
Learning About Structural Errors in Models of Complex Dynamical Systems
Principles of Computation by Competitive Protein Dimerization Networks

Experience

 
 
 
 
 

Postdoctoral Fellow

Eric and Wendy Schmidt Center, Broad Institute of MIT/Harvard

Sep 2023 – Present Cambridge, MA
 
 
 
 
 

Postdoctoral Associate

Computing + Mathematical Sciences, California Institute of Technology

Jun 2023 – Sep 2023 Pasadena, CA
Advised by Professor Andrew Stuart
 
 
 
 
 

PhD Student

Computing + Mathematical Sciences, California Institute of Technology

Sep 2018 – Jun 2023 Pasadena, CA
Advised by Professor Andrew Stuart
 
 
 
 
 

Research Associate

Biomedical Informatics, Columbia University Medical Center

Jul 2015 – Jul 2018 New York, NY
Supervised by Professors David Albers, George Hripcsak, and Lena Mamykina