Exploring ideas that could unlock efficiency and capability.
I’m Thomas J. Richner, a research scientist at Mayo Clinic. I study neural networks and stochastic dynamical systems. I bring mathematics and engineering to foundational questions.
I investigate how adaptation shapes effective connectivity and stability in recurrent networks. My current research asks how networks can learn through local rules while maintaining stable dynamics.
Using Gaussian process models and Bayesian optimization to guide the search for effective stimulation parameters in a closed-loop seizure-control system.
How can models keep learning from new observations? Sequential Bayesian updating offers a mathematical perspective on the problem—and raises questions about what can scale and the accuracy and computational cost of approximations.
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Composing learned models
How can separately learned components be combined into a useful model? I’m interested in the structure that makes composition possible, including connections to linear and abstract algebra.
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Interpreting and improving models
How can we identify what limits a model and make targeted parameter changes when optimization stalls? I’m interested in connecting an understanding of model structure with methods for improving its behavior.
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Modeling coupled systems under uncertainty
How can we infer interactions and forecast behavior in systems shaped by noise and nonlinear coupling? I’m interested in stochastic vector autoregressive models and their nonlinear extensions, connecting physical-system modeling with questions in quantitative research.
Background
From mathematical ideas to working systems.
My background spans mathematics, engineering, and computational modeling. My research in systems, optimization, and neural interfaces has involved moving between questions, theories, numerical methods, and experiments. I enjoy going from whiteboard to Python.
At Mayo Clinic, I investigate network stability and use electrical brain stimulation for system identification.