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4 changes: 2 additions & 2 deletions _applications/2026-cardiac-pathology.md
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Expand Up @@ -50,7 +50,7 @@ This section presents the tutorials to use the methods combining Artificial Inte

The complete step-by-step tutorials are available in the [*Diagnosis tutorial*](https://modelflows.github.io/modelflowsapp/software/tutorials/cardiac-tutorials/#diagnosis-tutorial) and [*Prognosis tutorial*](https://modelflows.github.io/modelflowsapp/software/tutorials/cardiac-tutorials/#prognosis-tutorial) sections of the [*Cardiac tutorials*](https://modelflows.github.io/modelflowsapp/software/tutorials/cardiac-tutorials/) page.

### Notebooks Diagnosis and Prognosis <a id="ai-notebooks"></a>
### Notebooks <a id="ai-notebooks"></a>

- [*Diagnosis Notebooks*](https://github.com/modelflows/ModelFLOWs-cardiac/tree/main/diagnosis_tutorial/notebooks): this link goes to the source files and to the guide of how to use the codes implementing the training and testing of models for the diagnosis of cardiovascular diseases (CVD).
- [*Prognosis Notebooks*](https://github.com/modelflows/ModelFLOWs-cardiac/tree/main/prognosis_tutorial/notebooks): this link goes to the source files and to the guide of how to use the codes implementing the training and testing of models for the prognosis of heart failures.
Expand All @@ -65,7 +65,7 @@ The complete tutorial is available in the [*Interface tutorial*](https://modelfl

The tutorial of the developed framework based on deep learning for automated left-ventricle (LV) segmentation and ejection-fraction (EF) prediction from echocardiograms is available in the [*LV Segmentation and EF estimation tutorial*](https://modelflows.github.io/modelflowsapp/software/tutorials/cardiac-tutorials/#lv-seg-ef-tutorial) section of the [*Cardiac tutorials*](https://modelflows.github.io/modelflowsapp/software/tutorials/cardiac-tutorials/).

### Notebooks Segmentation and EF Estimation Tutorial <a id="ai-notebooks-seg-ef"></a>
### Notebooks <a id="ai-notebooks_ef"></a>

- [*LV segmentation and EF prediction*](https://github.com/modelflows/ModelFLOWs-cardiac/tree/main/segmentation%26EFprediction_tutorial/EchoNet-dynamic/scripts): this link goes to the source files necessary to perform the left-ventricle (LV) segmentation and the ejection fraction (EF) estimation from echocardiography images.

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5 changes: 4 additions & 1 deletion _applications/2026-combustion.md
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Expand Up @@ -19,11 +19,14 @@ The applications focuse on the DLR methane/hydrogen/nitrogen turbulent diffusion

* [DLR Flame CFD Workflow](#cfd-workflow)
* [Tutorial](#cfd-tutorial)

* [AI & Data-Driven Models](#ai)

* [HOSVD + GPR Parametric Interpolation](#ai-hosvd-gpr)
* [Tutorial](#hosvd-tutorial-and-post)

* [References](#references)

* [Contributors](#contributors)

# CFD & High-Fidelity Simulations <a id="cfd"></a>
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6 changes: 0 additions & 6 deletions _research/ai-models/air-pollution/2026_air_pollution.md
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Expand Up @@ -75,12 +75,6 @@ This work demonstrates that Robust Data Envelopment Analysis provides a reliable
By combining DEA and Robust Optimization, the proposed methodology reduces sensitivity to data fluctuations and offers a more realistic assessment of urban sustainability performance.
The framework can support policy evaluation, urban planning, energy management, and sustainable development strategies in complex socio-economic systems.

## Scientific Contribution

This work demonstrates that Robust Data Envelopment Analysis provides a reliable framework for evaluating urban energy efficiency under uncertainty.
By combining DEA and Robust Optimization, the proposed methodology reduces sensitivity to data fluctuations and offers a more realistic assessment of urban sustainability performance.
The framework can support policy evaluation, urban planning, energy management, and sustainable development strategies in complex socio-economic systems.

## Relevance for ModelFLOWs

This research illustrates the application of advanced data-driven methodologies to large-scale urban systems.
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9 changes: 3 additions & 6 deletions _research/ai-models/combustion/hosvd_gpr_combustion_post.md
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@@ -1,11 +1,12 @@
---
layout: page
layout: post
date: 2026-06-25
title: "HOSVD + GPR: Parametric Surrogate for Turbulent Jet Flames"
category: "AI & Data-Driven Models"
topic: "Combustion"
tldr: "Parametric interpolation of the DLR turbulent jet diffusion flame using Higher-Order SVD and Gaussian Process Regression to predict full combustion fields at unseen operating conditions."
thumbnail: "assets/img/Tutorial/Combustion/hosvd_gpr/Re16000_mf012.png"
permalink: /research/ai-combustion/
permalink: /research/ai-combustion/hosvd-gpr-surrogate/
---

<script>
Expand Down Expand Up @@ -116,10 +117,6 @@ Combining the interpolated coefficients with the core tensor and rescaling gives

![Reconstruction error per species for Re=13000, mf=0.08](/assets/img/Tutorial/Combustion/hosvd_gpr/relative_error_per_feat_Re13000_mf008.png)

## Contributors

Isacco Faglioni

## **References**

[1] Aversano, et al., *Digital twin of a combustion furnace operating in flameless conditions: reduced-order model development from CFD simulations*, Proc. Combust. Inst. 38(4):5373–5381, 2021.
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2 changes: 1 addition & 1 deletion _tutorials/2026-combustion_tutorial.md
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Expand Up @@ -30,7 +30,7 @@ The reference case is the DLR turbulent non-premixed jet flame. The burner consi

<!-- IMAGES -->
<p style="text-align: center;">
<img src="https://github.com/modelflows/modelflowsapp/blob/dev/assets/img/DLR_burner_Geometry.png?raw=true" alt="DLR burner geometry" width="60%">
<img src="https://github.com/modelflows/modelflowsapp/blob/dev/assets/img/DLR_burner_Geometry.png?raw=true" alt="DLR burner geometry" width="65%">
</p>

| Quantity | Description |
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2 changes: 1 addition & 1 deletion research/ai-combustion.md
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Expand Up @@ -7,7 +7,7 @@ subtitle: Data-driven and AI approaches to reactive flow modelling
This section collects all the research done by our group regarding reduced-order modelling and AI-driven methods for combustion.

<div class="row">
{% assign current_posts = site.research | where_exp: "post", "post.topic == 'Combustion' and post.category == 'AI & Data-Driven Models'" %}
{% assign current_posts = site.research | where: "topic", "Combustion" %}
{% for post in current_posts %}
<div class="col-md-12 mb-4">
<div class="card flex-row" style="border: 1px solid #ddd; border-radius: 8px; overflow: hidden; padding: 15px;">
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