Science

The science behind STOCHOS.

How STOCHOS works Explore STOCHOS

STOCHOS is built on probabilistic machine learning for engineering data: small, noisy, expensive. One algorithm, DIM-GP, powers all six methods.

The algorithm

Start with the algorithm

Everything in STOCHOS rests on DIM-GP, a Deep Infinite Mixture of Gaussian Processes: deep learning capacity with Gaussian process uncertainty, in one model built for small, noisy, expensive data.

Read how STOCHOS works: the DIM-GP algorithm →
DIM-GP combines the capacity of deep learning with the uncertainty estimates of Gaussian processes in one non-stationary probabilistic model.
Live math

Click to train a model

This is a live Gaussian process, the building block DIM-GP extends, running in your browser. Click anywhere in the plot to add a measurement. The model refits, and the amber band shows its confidence: tight where data exists, wide where it is guessing.

Real Gaussian process: RBF kernel, Cholesky solve 4 measurements
The methods

Six methods, one loop

Each method is a stage of one loop around the model: model, trust, decide, cut cost, explain, expand. Every card opens a plain-language guide showing how STOCHOS runs that stage.

Crash simulation and the STOCHOS surrogate prediction side by side
01

Surrogate Modeling

Model it: predict new variants in seconds from the runs you already have.

A black-box model returning one bare prediction with no indication of how far to trust it
02

Uncertainty Quantification

Trust it: see where predictions are reliable and where more data would help.

The Bayesian optimization loop: model, choose the next experiment, observe, repeat
03

Bayesian Optimization

Decide: choose the next best experiment or simulation.

Cheap simulation data and expensive lab points fused into one model
04

Multi-Fidelity Modeling

Cut the cost: combine cheap screening data with expensive high-quality results.

Sobol sensitivity bar chart ranking input importance
05

Sensitivity Analysis

Explain it: identify which inputs actually drive the outcome.

Generated bracket variants with their predicted stress fields
06

Generative Design

Expand it: explore new geometries beyond fixed variants with GEN-BO.

Science in real life

In a DLR and SGL Carbon project presented at the DPG Annual Conference, DIM-GP replaced the microscale FEM step in a multi-scale fracture framework. Read the project note

PI Probaligence took first prize at the Robert Bosch Foundation Health Award, for work outside engineering. Read the announcement

Go deeper

Put the science to the test

Bring a problem you know well and your hardest questions. We will show STOCHOS on data close to yours, with the confidence behind every prediction visible. Or try beating it yourself first.

Request a Demo Try to beat STOCHOS
Partners, customers, and research collaborators
AnsysCADFEMSimuTech GroupMEScoTSNEBoschZFGEMUDLRAdler LackeMankiewiczDuluxPlixxentFraunhoferHochschule NiederrheinFUELL Lab AutomationHumotionUniversitaet HamburgRobert Bosch Stiftung