HPC Tier Module

SINDy - Governing Equation Discovery

Recover the symbolic equations behind a time series - deterministic, reproducible, no neural net.

See it run - a worked example, 100% in this browser tab

The problem

Discovering the governing equations behind measured dynamics is usually done with opaque trained models that are not reproducible and offer no built-in residual check.

The local-first solution

This plugin runs SINDy in the browser - finite-difference derivatives, a polynomial-plus-trig candidate library, and sequentially thresholded least squares - to read off the symbolic equations deterministically, with a residual-based trust verdict.

What it does

4th-order finite-difference state-derivative estimates from the samples
Polynomial (and optional trigonometric) candidate-term library
Sequentially thresholded least squares so only the few true terms survive
Built-in known systems (linear, cubic oscillator, Lorenz) or your own t,x1,x2 CSV
Time series, phase portrait, model overlay, 3D orbit, and a GeoNum residual trust verdict

Honest scope

The method is deterministic - least squares plus a fixed threshold, no neural net, no stochastic training, fully reproducible. Plain STLSQ-SINDy is sensitive to measurement noise through the derivative estimate; the noise-robust weak/integral form (Weak-SINDy) is cited but not implemented here, and the discovered model is a data fit, not guaranteed ground truth - confirm against domain knowledge.

Authorities cited

Discover the equations

Run discovery in the browser and save the structured result to Sandbox, attach it to a Worklog engagement, or route it into a Gate client portal. Nothing is uploaded to anyone's cloud.

GDBS by VaultSync Solutions Inc. - Verifiable Computation. gdbs.getvaultsync.com