Scientific Machine Learning for Complex Systems

FireModel-AI

Reduced-order models for complex physics and finance.

FireModel-AI is a research platform focused on dimensionality reduction, surrogate modeling, and AI-assisted prediction of computationally expensive systems.

The platform is designed to accelerate high-dimensional simulations and data-driven forecasting workflows using reduced-order modeling, neural networks, and scientific machine learning.

Developed by Mehrdad Nouroozyan.

Reduced-order modeling workflow
ROM compact reduced representations
AI surrogate prediction models
Fast near real-time inference

Platform Focus

The project combines numerical modeling, data-driven reduction, and machine learning to build fast predictive models for high-dimensional systems.

Reduced-Order Modeling

Compress complex simulation data into low-dimensional representations while retaining the dominant system behavior.

Surrogate Intelligence

Replace expensive full-order evaluations with fast learned models suitable for rapid exploration and prediction.

Complex Physics

Support modeling workflows involving nonlinear, transient, and high-dimensional physical systems.

Quantitative Finance

Extend reduced-order and AI-based prediction concepts toward financial modeling, risk analysis, and data-driven forecasting.

Scientific Foundation

POD + ANN reduced-order modeling concept

High-dimensional snapshots are arranged into a data matrix and compressed into a reduced basis using Proper Orthogonal Decomposition or related dimensionality-reduction techniques.

X ≈ Ur Σr VrT

A machine-learning surrogate then approximates the mapping from input parameters to reduced coefficients.

apred = ANN(μ)

The predicted high-dimensional response is reconstructed from the reduced representation:

x̂ = Ur apred

This workflow enables rapid prediction of complex system responses without repeatedly solving the full high-dimensional model.