FireModel-AI

Scientific machine learning and reduced-order modeling framework for fast approximation of complex dynamical systems, high-dimensional numerical simulations, and parameter-dependent physical processes.

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Scientific Machine Learning Framework

FireModel-AI combines data-driven surrogate modeling, reduced-order modeling, and machine learning techniques to accelerate the approximation and reconstruction of computationally expensive numerical simulations.

Reduced-Order Modeling

Projection-based and latent-space reduction techniques for compact representation of high-dimensional systems.

Machine Learning

Data-driven surrogate models for fast approximation of parameter-dependent dynamical responses.

Scientific Computing

Designed for integration with large-scale numerical simulations and computational workflows.

Near Real-Time Evaluation

Rapid prediction and reconstruction capabilities for complex transient systems.

Model Families and Mathematical Concepts

FireModel-AI is designed as a flexible scientific machine learning framework that can conceptually integrate different model families for reduction, approximation, signal analysis, and feature extraction.

Autoencoder

Nonlinear dimensionality reduction using encoder-decoder mappings.

z = E(x),   x̂ = D(z)

Artificial Neural Network

Data-driven approximation of nonlinear parameter-to-response mappings.

y = fθ(p)

FRF Analysis

Frequency response representation between input and output signals.

H(ω) = Y(ω) / X(ω)

FFT

Spectral decomposition of transient signals into frequency-domain components.

Xk = Σ xn e-i2πkn/N

Convolutional Neural Network

Feature extraction from spatial or structured simulation fields.

y = σ(W * x + b)

Reduced-Order Model

Projection of high-dimensional states onto a compact reduced basis.

x̂ = Urapred

Applications

The framework can be adapted to a broad range of scientific and engineering problems involving complex dynamical behavior and computationally intensive simulations.

Reduced-Order Modeling Concept

A high-dimensional system response can be approximated within a reduced latent representation:

Mathematical formulation
x̂ = Urapred

The dominant structures of the original system are represented in a low-dimensional basis. A surrogate model estimates the reduced coefficients, allowing rapid reconstruction of the system response while preserving the dominant physical behavior.

Illustration of a generic reduced-order modeling workflow.

Research and Development

Developed by Mehrdad Nouroozyan within ongoing research activities in scientific machine learning, reduced-order modeling, computational modeling, and data-driven engineering analysis.

The framework focuses on bridging high-fidelity numerical simulation workflows with efficient machine learning approximations for scalable scientific computing applications.