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Volume 341: International Conference on Probabilistic Numerics, 9-11 September 2026, LUT University, Lappeenranta, Finland

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Editors: Toni Karvonen, Nathanael Bosch, Jon Cockayne, Alexandra Gessner, Philipp Hennig, Wouter Kouw

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Physics-informed machine learning for wind turbulence reconstruction with lidar under aircraft motion

Amaury Capmas-Pernet, Christian Musso, Frédéric Dambreville, Tomline Michel; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:1-8

Calibrating Black-Box Probabilistic Numerical Methods

Juntao Chen, Chris J. Oates, Markus Michael Rau; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:9-24

Modified Bryson-Frazier Smoothing and Hyperparameter Learning for Temporal Gaussian Process Regression

Tom Colemont, Brecht Evens, Tjonnie G.-F. Li, Frederik De Ceuster; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:25-38

Probabilistic Numerics for Hamiltonian Dynamics

Frederik De Ceuster, Tom Colemont, Mathias Van Gompel, Tjonnie G.-F. Li; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:39-48

Computation-Aware Kalman Filtering with Model Selection for Neural Dynamics

Jonathan Raymond Huml, Jonathan Wenger, John Patrick Cunningham; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:49-72

BayesSum: Bayesian Quadrature in Discrete Spaces

Sophia Seulkee Kang, Francois-Xavier Briol, Toni Karvonen, Zonghao Chen; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:73-89

Inter-Domain Gaussian Processes with Arbitrary Mean Functions in Factor Graphs

Alex Ledbetter, Hoang Minh Huu Nguyen, Lucas Carolus van Laake, Irene A. Kuling, Yoeri van de Burgt, Thijs van de Laar; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:90-101

Composing Non-Conjugate Factor Graphs with Closed-Form Variational Inference

Mykola Lukashchuk, Kyrylo Yemets, Wouter M. Kouw, Dmitry Bagaev, Ismail Senoz, Jeff Beck, Bert de Vries; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:102-123

Modelling Gas-Phase Reaction Kinetics with Guided Particle Diffusion Sampling

Andrew Millard, Zheng Zhao, Henrik Pedersen; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:124-168

Statistical Finite Elements for Vibration Problems

Timothy J. Rogers, Brandon J. O’Connell, Max D. Champneys; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:169-180

Bayesian Inference of Discretization Error Means in ODEs via Ensemble Kalman Filtering

Shoji Toyota, Yuto Miyatake; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:181-197

Initial Value Problem Uncertainty Propagation

Mathias Van Gompel, Tom Colemont, Tjonnie G.-F. Li, Johan Suykens, Frederik De Ceuster; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:198-211

Scaling up Probabilistic PDE Simulators with Structured Volumetric Information

Tim Weiland, Marvin Pförtner, Philipp Hennig; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:212-226

Three Costs of Amortizing Gaussian Process Inference with Neural Processes

Robin Young; Proceedings of the 2nd International Conference on Probabilistic Numerics, PMLR 341:227-244

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