Question / Theory / Build / Test

Systems,
models,
and learning.

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.

Portrait of Thomas J. Richner

Selected research

Publication graphic illustrating learning & stability
01 / Learning & stability

The dynamics of adaptation.

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.

Stability analysis · Recurrent networks
Read the paper ↗ Explore the code ↗
Publication graphic illustrating bayesian optimization
02 / Bayesian optimization

Better experiments, guided by uncertainty.

Using Gaussian process models and Bayesian optimization to guide the search for effective stimulation parameters in a closed-loop seizure-control system.

Gaussian processes · Sequential experiments
Read the paper ↗
Publication graphic illustrating neural interfaces
03 / Neural interfaces

Engineering a window into neural systems.

Developing transparent micro-electrocorticography arrays and integrating electrical recordings with optogenetics and advanced photonics.

Micro-ECoG · Optogenetics · Photonics
Read the paper ↗
Looking ahead

What could unlock new capabilities?

01

Learning from new evidence

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.

02

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.

03

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.

04

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.

Abstract illustration inspired by dynamical trajectories, not research data