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We demonstrate that combining machine learning with data assimilation leads to a major improvement in phytoplankton short-range (1-5 day) forecasts for the North-West European Shelf (NWES) seas. We show that excess nitrate concentrations…

Quantitative Methods · Quantitative Biology 2025-08-05 Deep S Banerjee , Jozef Skakala , David Ford

In this paper, we develop a neural network-based approach for time-series prediction in unknown Hamiltonian dynamical systems. Our approach leverages a surrogate model and learns the system dynamics using generalized coordinates (positions)…

Machine Learning · Computer Science 2025-02-03 Taehyeun Kim , Tae-Geun Kim , Anouck Girard , Ilya Kolmanovsky

Hash-based sampling and estimation are common themes in computing. Using hashing for sampling gives us the coordination needed to compare samples from different sets. Hashing is also used when we want to count distinct elements. The quality…

Data Structures and Algorithms · Computer Science 2024-12-02 Anders Aamand , Ioana O. Bercea , Jakob Bæk Tejs Houen , Jonas Klausen , Mikkel Thorup

Multivariate time series forecasting with hierarchical structure is widely used in real-world applications, e.g., sales predictions for the geographical hierarchy formed by cities, states, and countries. The hierarchical time series (HTS)…

Machine Learning · Computer Science 2023-10-10 Fan Zhou , Chen Pan , Lintao Ma , Yu Liu , Shiyu Wang , James Zhang , Xinxin Zhu , Xuanwei Hu , Yunhua Hu , Yangfei Zheng , Lei Lei , Yun Hu

Optimal transport (OT) has become a natural framework for guiding the probability flows. Yet, the majority of recent generative models assume trivial geometry (e.g., Euclidean) and rely on strong density-estimation assumptions, yielding…

Machine Learning · Computer Science 2025-09-23 Nazar Buzun , Daniil Shlenskii , Maxim Bobrin , Dmitry V. Dylov

(abridged) In the first two papers of this publication series, we present a comprehensive library of synthetic EHT observations and used this library to train and validate Bayesian neural networks for the parameter inference of accreting…

High Energy Astrophysical Phenomena · Physics 2025-06-18 M. Janssen , C. -k. Chan , J. Davelaar , M. Wielgus

To improve the performance of full-shape analyses of large-scale structure, we consider using a halo occupation distribution (HOD)-informed prior for the effective field theory (EFT) nuisance parameters. We generate 320 000 mock galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-19 Hanyu Zhang , Marco Bonici , Guido D'Amico , Simone Paradiso , Will J. Percival

With the increasing penetration of high-frequency sensors across a number of biological and physical systems, the abundance of the resulting observations offers opportunities for higher statistical accuracy of down-stream estimates, but…

Optimization and Control · Mathematics 2020-11-06 Shushu Zhang , Vivak Patel

Flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation. Such an approach combines in-situ gauge measurements with numerical hydrodynamic models to correct the hydraulic states and reduce…

Image and Video Processing · Electrical Eng. & Systems 2022-02-07 Thanh Huy Nguyen , Sophie Ricci , Christophe Fatras , Andrea Piacentini , Anthéa Delmotte , Emeric Lavergne , Peter Kettig

The reconstruction of the signal from hadrons and jets emerging from the proton-proton collisions at the Large Hadron Collider (LHC) and entering the ATLAS calorimeters is based on a three-dimensional topological clustering of individual…

High Energy Physics - Experiment · Physics 2017-08-24 ATLAS Collaboration

Failures attributed to hydrogen embrittlement are a major concern for metals so a better understanding of damage micro-mechanisms and hydrogen diffusion within the metal is needed. Local concentrations depend on transport phenomena…

Chemical Physics · Physics 2020-08-03 A. Díaz , I. I. Cuesta , E. Martínez-Pañeda , J. M. Alegre

Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in complex datasets. The main workhorse is persistent homology,…

History and Overview · Mathematics 2025-07-29 Zhe Su , Xiang Liu , Layal Bou Hamdan , Vasileios Maroulas , Jie Wu , Gunnar Carlsson , Guo-Wei Wei

By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA) to qualitatively type dynamical data by approximating the…

Algebraic Topology · Mathematics 2026-04-14 Tobias Timofeyev , Christopher Potvin , Benjamin Jones , Kristin M. Kurianski , Miguel Lopez , Sunia Tanweer

Artificial Intelligence (AI) surrogate models provide a computationally efficient alternative to full-physics simulations, but no public datasets currently exist for training and validating models of high-explosive-driven, multi-material…

Data assimilation (DA) plays a pivotal role in diverse applications, ranging from climate predictions and weather forecasts to trajectory planning for autonomous vehicles. A prime example is the widely used ensemble Kalman filter (EnKF),…

Dynamical Systems · Mathematics 2024-01-03 Mohamad Abed El Rahman Hammoud , Naila Raboudi , Edriss S. Titi , Omar Knio , Ibrahim Hoteit

The halo occupation distribution (HOD) framework is an empirical method to describe the connection between dark matter halos and galaxies, which is constrained by small scale clustering data. Efficient fitting procedures are required to…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-24 Antoine Rocher , Vanina Ruhlmann-Kleider , Etienne Burtin , Arnaud de Mattia

Analytical models of galaxy-halo connection such as the Halo Occupation Distribution (HOD) model have been widely used over the past decades as a means to intensively test perturbative models on quasi-linear scales. However, these models…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-16 R. Paviot , A. Rocher , S. Codis , A. de Mattia , E. Jullo , S. de la Torre

In meteorology, engineering and computer sciences, data assimilation is routinely employed as the optimal way to combine noisy observations with prior model information for obtaining better estimates of a state, and thus better forecasts,…

Geophysics · Physics 2009-08-12 M. J. Werner , K. Ide , D. Sornette

Satellite observation operators play an essential role in atmospheric data assimilation by translating model state variables into observation space. Previous work has shown that deep-learned emulators can effectively predict the outputs of…

Transportability analysis is a causal inference framework used to evaluate the external validity of randomized clinical trials (RCTs) or observational studies. Most existing transportability analysis methods require individual patient-level…

Methodology · Statistics 2025-07-09 Yichen Yan , Quang Vuong , Rebecca K Metcalfe , Tianyu Guan , Haolun Shi , Jay JH Park