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Independent Researcher — France
Email: ulrich.tan@polytechnique.org
ORCID: https://orcid.org/0009-0001-2907-501X


About me

I work on continuous learning, synaptic plasticity, and geometric learning rules, with the goal of understanding how biological principles can inspire more adaptive, efficient, and robust AI systems.

My research focuses on how local, biologically plausible learning rules—such as dendritic integration, nonlinear synaptic subunits, and structural plasticity—can be translated into geometric and dynamical frameworks for machine learning. I am particularly interested in how these mechanisms can support lifelong learning, sparsity, stability, and energy‑efficient computation.

This line of work has led me to explore:

Beyond theoretical work, I also build AI systems and engineering prototypes, including:

My broader interest is in how adaptive, decentralized, and resource‑efficient learning can shape the next generation of AI systems—especially in contexts where compute, energy, or privacy constraints matter.


Research Interests


Publications

A Wasserstein Geometric Framework for Hebbian Plasticity

Ulrich Tan
arXiv:2604.16052
A geometric formulation of Hebbian plasticity based on W₂ geodesics, showing that classical Hebbian updates can be interpreted as contractive flows in Wasserstein space.

👉 PDF on arXiv

X announcement :

I’ve just released a new preprint proposing a geometric framework for memory and learning dynamics using Optimal Transport.

— Ulrich Tan (@Ulrichxtan) April 24, 2026

Geometry‑Driven Structural Plasticity Induces Synaptic Pruning Under White Noise

Ulrich Tan
(2026, WIP)
Shows that a Wasserstein‑based structural update rule (HWG) produces spontaneous pruning, branch‑level competition, and symmetry breaking under pure white noise — unlike classical STDP or non‑geometric structural plasticity.

👉 PDF (preprint) — to be added soon


Dendritic Segment Model

A computational model of nonlinear dendritic integration and synaptic subunits.
👉 dendritic_segment_model

SPEANN

A lightweight experimental framework exploring synaptic plasticity and continuous learning mechanisms.
👉 speann


Other Work

I also maintain a portfolio of engineering projects (AI systems, distributed identity, data engineering, OS development):
👉 portfolio


AI Systems & Engineering Work

In parallel to theoretical research, I design and build production‑grade AI systems, including:

This dual perspective—biological inspiration + large‑scale AI engineering—shapes my approach to innovation and emerging technology.


Contact

For collaboration, research discussions, or AI systems work, you can reach me at:

Email: ulrich.tan@polytechnique.org
LinkedIn: https://www.linkedin.com/in/ulrich-t-1b83064
GitHub: https://github.com/jietra