activity
20232026
most citedPinnDE: Physics-Informed Neural Networks for Solving Differential Equations

3 citations · 9 across the 11 of their papers we have counts for

collaborators

12 papers

physics.ao-ph2026

Suêtes: An end-to-end differentiable non-hydrostatic limited-area dynamical core

Tim Whittaker, Seth Taylor, Elsa Cardoso-Bihlo +2

We present Suêtes, a fully differentiable, non-hydrostatic, limited-area atmospheric dynamical core implemented in JAX. Suêtes includes both a semi-implicit semi-Lagrangian scheme…

physics.flu-dyn2026

A solver-in-the-loop framework for end-to-end differentiable coastal hydrodynamics

Elsa Cardoso-Bihlo, Alex Bihlo

Numerical simulation of wave propagation and run-up is a cornerstone of coastal engineering and tsunami hazard assessment. However, applying these forward models to inverse problem…

physics.ao-ph2025★ 1 cited

Learning vertical coordinates via automatic differentiation of a dynamical core

Tim Whittaker, Seth Taylor, Elsa Cardoso-Bihlo +2

Terrain-following coordinates in atmospheric models often imprint their grid structure onto the solution, particularly over steep topography, where distorted coordinate layers can…

math.NA2025

Diffeomorphic Neural Operator Learning

Seth Taylor, Alex Bihlo, Jean-Christophe Nave

We present an operator learning approach for a class of evolution operators using a composition of a learned lift into the space of diffeomorphisms of the domain and the group acti…

cs.LG2025

Low-rank adaptive physics-informed HyperDeepONets for solving differential equations

Etienne Zeudong, Elsa Cardoso-Bihlo, Alex Bihlo

HyperDeepONets were introduced in Lee, Cho and Hwang [ICLR, 2023] as an alternative architecture for operator learning, in which a hypernetwork generates the weights for the trunk…

cs.LG2025

ForeCite: Adapting Pre-Trained Language Models to Predict Future Citation Rates of Academic Papers

Gavin Hull, Alex Bihlo

Predicting the future citation rates of academic papers is an important step toward the automation of research evaluation and the acceleration of scientific progress. We present $\…

astro-ph.IM2025

Mapping Galaxy Images Across Ultraviolet, Visible and Infrared Bands Using Generative Deep Learning

Youssef Zaazou, Alex Bihlo, Terrence S. Tricco

We demonstrate that generative deep learning can translate galaxy observations across ultraviolet, visible, and infrared photometric bands. Leveraging mock observations from the Il…

cs.LG2024★ 3 cited

PinnDE: Physics-Informed Neural Networks for Solving Differential Equations

Jason Matthews, Alex Bihlo

In recent years the study of deep learning for solving differential equations has grown substantially. The use of physics-informed neural networks (PINNs) and deep operator network…

physics.comp-ph2024★ 1 cited

Physics-informed neural networks for tsunami inundation modeling

Rüdiger Brecht, Elsa Cardoso-Bihlo, Alex Bihlo

We use physics-informed neural networks for solving the shallow-water equations for tsunami modeling. Physics-informed neural networks are an optimization based approach for solvin…

math.AP2024★ 1 cited

Generalized symmetries of Burgers equation

Dmytro R. Popovych, Alex Bihlo, Roman O. Popovych

Despite the number of relevant considerations in the literature, the algebra of generalized symmetries of the Burgers equation has not been exhaustively described. We fill this gap…

cs.LG2023

Exactly conservative physics-informed neural networks and deep operator networks for dynamical systems

Elsa Cardoso-Bihlo, Alex Bihlo

We introduce a method for training exactly conservative physics-informed neural networks and physics-informed deep operator networks for dynamical systems. The method employs a pro…

math-ph2023★ 3 cited

Invariant Physics-Informed Neural Networks for Ordinary Differential Equations

Shivam Arora, Alex Bihlo, Francis Valiquette

Physics-informed neural networks have emerged as a prominent new method for solving differential equations. While conceptually straightforward, they often suffer training difficult…