11 citations · 19 across the 12 of their papers we have counts for
5 papers · 1 filter
Universality and Generalization of Causal Transformers Across Context Lengths
Takashi Furuya, Maarten V. de Hoop, Gabriel Peyré
Long contexts are central to modern transformer systems, but most expressivity results choose a different network for each fixed sequence length. We study whether one masked transf…
Classification of singularities of planar slowness surfaces
Antonio Cocan, Maarten V. de Hoop, Joonas Ilmavirta +2
Slowness surfaces are algebraic varieties arising from propagation of elastic waves. In dimensions , we completely classify the types of singularities slowness surfaces can have…
Propagation of singularities and inverse problems for the viscoacoustic wave equation
Giovanni Covi, Maarten de Hoop, Mikko Salo
We study an inverse problem for the viscoacoustic wave equation, an integro-differential model describing wave propagation in viscoacoustic media with memory in the leading order t…
Neural Operators Can Discover Functional Clusters
Yicen Li, Jose Antonio Lara Benitez, Ruiyang Hong +3
Operator learning is reshaping scientific computing by amortizing inference across infinite families of problems. While neural operators (NOs) are increasingly well understood for…
Hybrid operator learning of wave scattering maps in high-contrast media
Advait Balaji, Trevor Teolis, S. David Mis +3
Surrogate modeling of wave propagation and scattering (i.e. the wave speed and source to wave field map) in heterogeneous media has significant potential in applications such as se…