Question / Theory / Build / Test

Systems,
models,
and AI.

Exploring ideas that could unlock
new capabilities in AI.

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 in AI.

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 AI systems keep learning? 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 capabilities

Can separately trained adapters be combined into useful new capabilities? I’m interested in the structure that makes composition possible, including connections to linear and abstract algebra.

03

Interpreting and improving models

Could agents diagnose what limits a model and make targeted parameter changes when gradient-based training stalls? I’m interested in whether such interventions could unlock step improvements and contribute to recursive self-improvement.

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