4 papers
Comparing EPGP Surrogates and Finite Elements Under Degree-of-Freedom Parity
Obed Amo, Samit Ghosh, Markus Lange-Hegermann +2
We present a new benchmarking study comparing a boundary-constrained Ehrenpreis--Palamodov Gaussian Process (B-EPGP) surrogate with a classical finite element method combined with…
Gaussian Process Priors for Boundary Value Problems of Linear Partial Differential Equations
Jianlei Huang, Marc Härkönen, Markus Lange-Hegermann +1
Working with systems of partial differential equations (PDEs) is a fundamental task in computational science. Well-posed systems are addressed by numerical solvers or neural operat…
GIFT: Gradient-aware Immunization of diffusion models against malicious Fine-Tuning with safe concepts retention
Amro Abdalla, Ismail Shaheen, Dan DeGenaro +3
We present GIFT: a {G}radient-aware {I}mmunization technique to defend diffusion models against malicious {F}ine-{T}uning while preserving their ability to generate safe content. E…
Gaussian Process Regression for Inverse Problems in Linear PDEs
Xin Li, Markus Lange-Hegermann, Bogdan RaiÅ£Ä
This paper introduces a computationally efficient algorithm in system theory for solving inverse problems governed by linear partial differential equations (PDEs). We model solutio…