output
20082024
most citedBoundary Element Analysis with trimmed NURBS and a generalized IGA approach

16 citations

7 papers

cs.CV2024★ 5 cited

Solving the enigma: Enhancing faithfulness and comprehensibility in explanations of deep networks

Michail Mamalakis, Antonios Mamalakis, Ingrid Agartz +4

The accelerated progress of artificial intelligence (AI) has popularized deep learning models across various domains, yet their inherent opacity poses challenges, particularly in c…

physics.hist-ph2024★ 11 cited

On the Meaning of Local Symmetries: Epistemic-Ontological Dialectics

Jordan François, Lucrezia Ravera

We propose our account of the meaning of local symmetries. We argue that the general covariance principle and gauge principle both are principles of democratic epistemic access to…

physics.hist-ph2024★ 13 cited

Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content

Philipp Berghofer, Jordan François

There is solid consensus among physicists and philosophers that, in gauge field theory, for a quantity to be physically meaningful or real, it must be gauge-invariant. Yet, every "…

math-ph2023★ 10 cited

The dressing field method for diffeomorphisms: a relational framework

Jordan T. Francois Andre

The dressing field method is a tool to reduce gauge symmetries. Here we extend it to cover the case of diffeomorphisms. The resulting framework is a systematic scheme to produce Di…

math.OC2023

Wasserstein medians: robustness, PDE characterization and numerics

Guillaume Carlier, Enis Chenchene, Katharina Eichinger

We investigate the notion of Wasserstein median as an alternative to the Wasserstein barycenter, which has become popular but may be sensitive to outliers. In terms of robustness t…

math.NA2014★ 16 cited

Boundary Element Analysis with trimmed NURBS and a generalized IGA approach

Gernot Beer, Benjamin Marussig, Jürgen Zechner +2

A novel approach to the simulation with the boundary element method using trimmed NURBS patches is presented. The advantage of this approach is its efficiency and easy implementati…