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20232026
most citedConvolutional Neural Operators for robust and accurate learning of PDEs

38 citations · 61 across the 4 of their papers we have counts for

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cs.LG2026

The Verifier Is Part of the Simulator: Evidence-View Gaming in Agentic Equation Discovery

Orestis Oikonomou, Bogdan Raonic

A growing number of agentic pipelines search for governing equations: an agent proposes laws and a verifier checks them against simulated trajectories. The verifier sees only a num…

cs.LG2025

One model to solve them all: 2BSDE families via neural operators

Takashi Furuya, Anastasis Kratsios, Dylan Possamaï +1

We introduce a mild generative variant of the classical neural operator model, which leverages Kolmogorov--Arnold networks to solve infinite families of second-order backward stoch…

cs.LG2024★ 9 cited

Poseidon: Efficient Foundation Models for PDEs

Maximilian Herde, Bogdan Raonić, Tobias Rohner +4

We introduce Poseidon, a foundation model for learning the solution operators of PDEs. It is based on a multiscale operator transformer, with time-conditioned layer norms that enab…

cs.LG2023★ 14 cited

Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning

Francesca Bartolucci, Emmanuel de Bézenac, Bogdan Raonić +3

Recently, operator learning, or learning mappings between infinite-dimensional function spaces, has garnered significant attention, notably in relation to learning partial differen…

cs.LG2023★ 38 cited

Convolutional Neural Operators for robust and accurate learning of PDEs

Bogdan Raonić, Roberto Molinaro, Tim De Ryck +5

Although very successfully used in conventional machine learning, convolution based neural network architectures -- believed to be inconsistent in function space -- have been large…