activity
20192026
most citedData-driven discovery of Green's functions with human-understandable deep learning

56 citations · 160 across the 20 of their papers we have counts for

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Showing 2026Show all

6 papers · 1 filter

math.NA2026

Conformal Uncertainty Quantification Guarantees for Neural Operators

Tom Stent, Nicolas Boullé

Neural operators provide fast surrogate models for approximating operators between function spaces, but their predictions often lack uncertainty quantification. We develop a split…

math.NA2026

Physics-guided correction for operator learning under model misspecification

Lei Ma, Nicolas Boullé, Yu-Sen Yang +2

Physics-informed operator learning provides an efficient framework for approximating solution operators of partial differential equations by combining observational data with gover…

math.NA2026

A zero-one law for one-shot system identification

Nicolas Boullé, Diana Halikias, Samuel E. Otto +1

Can a model be identified from one experiment? We study analytic systems that are linearly parameterized by a combination of prescribed dictionary terms, such as partial differenti…

stat.ML2026

Generalized Discrete Diffusion from Snapshots

Oussama Zekri, Théo Uscidda, Nicolas Boullé +1

We introduce Generalized Discrete Diffusion from Snapshots (GDDS), a unified framework for discrete diffusion modeling that supports arbitrary noising processes over large discrete…

math.NA2026

Trustworthy Koopman Operator Learning: Invariance Diagnostics and Error Bounds

Gustav Conradie, Nicolas Boullé, Jean-Christophe Loiseau +2

Koopman operator theory provides a global linear representation of nonlinear dynamics and underpins many data-driven methods. In practice, however, finite-dimensional feature space…

cs.CL2026

Jacobian Scopes: token-level causal attributions in LLMs

Toni J. B. Liu, Baran Zadeoğlu, Nicolas Boullé +3

Large language models (LLMs) make next-token predictions based on clues present in their context, such as semantic descriptions and in-context examples. Yet, elucidating which prio…