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…
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 Raiţă
This paper introduces a computationally efficient algorithm in system theory for solving inverse problems governed by linear partial differential equations (PDEs). We model solutio…
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…