Mentions légales du service

Skip to content
Snippets Groups Projects
Commit c64d92e4 authored by Bernardo Hummes's avatar Bernardo Hummes
Browse files

pa ander

parent 96ee95c6
Branches
No related tags found
No related merge requests found
Pipeline #1141097 passed
......@@ -15,9 +15,11 @@
picture:
website: https://github.com/AnderGray
lab: Heudiasyc, Université de Technologie de Compiègne
title: TBA
title: Guaranteed confidence-bands for PDE surrogates
abstract: |
TBA
I present a method for computing statistically guaranteed confidence bands for functional surrogate modes: surrogate models which map between function spaces, motivated by the need build reliable physics emulators. The method constructs nested confidence sets on a low-dimensional representation (an SVD) of the surrogate model’s prediction error, and then maps these sets to the prediction space using set-propagation techniques. The result is conformal-like coverage guaranteed prediction sets for functional surrogate models. We use zonotopes as basis of the set construction, due to their well-studied set-propagation and verification properties. The method is model agnostic and can thus be applied to complex Sci-ML models, including Neural Operators, but also in simpler settings. An important step is a technique to capture the truncation error of the SVD, ensuring the guarantees of the method.
A preprint is available here: https://doi.org/10.48550/arXiv.2501.18426
- date: 2025-03-17 14:00
team: PARTOUT
room: Marcel-Paul Schützenberger
......
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Please register or to comment