Publications

Peer-reviewed journal articles are identified by their published venue and DOI. Active manuscripts remain labeled as preprints so their status is always clear.

L. T. Giorgini, T. Bischoff, A. N. Souza (2026). KGMM: A K-means clustering approach to Gaussian mixture modeling for score function estimation. Physica D.

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S. Bouabid, A. N. Souza, R. Ferrari (2026). Score-Based Generative Emulation of Impact-Relevant Earth System Model Outputs. JAMES.

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G. Geogdzhayev, A. N. Souza, R. Ferrari, G. R. Flierl (2026). An EOF-Based Emulator of Means and Covariances of Monthly Climate Fields. Earth Syst. Dynam..

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C. B. Womack, G. Flierl, S. Bouabid, A. N. Souza, P. Giani, S. D. Eastham, N. E. Selin (2026). A theoretical framework to understand sources of error in Earth System Model emulation. Earth Syst. Dynam..

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A. N. Souza, S. Silvestri (2026). A modified bisecting K-means for approximating transfer operators. Physica D.

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X. K. Lee, A. Ramadhan, A. N. Souza, G. L. Wagner, S. Silvestri, J. Marshall, R. Ferrari (2025). NORi: An ML-Augmented Ocean Boundary Layer Parameterization. arXiv preprint arXiv:2512.04452.

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L. T. Giorgini, T. Bischoff, A. N. Souza (2025). Statistical Parameter Calibration via the Generalized Fluctuation Dissipation Theorem and Generative Modeling. arXiv preprint arXiv:2509.19660.

L. T. Giorgini, T. Bischoff, A. N. Souza (2025). Reduced-Order Modeling of Cyclo-Stationary Time Series Using Score-Based Generative Methods. arXiv preprint arXiv:2508.19448.

L. T. Giorgini, A. N. Souza, D. Lippolis, P. Cvitanović, P. Schmid (2025). Learning Dissipation and Instability Fields from Chaotic Dynamics. Physica D.

L. T. Giorgini, F. Falasca, A. N. Souza (2025). Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem and Generative Modeling. PNAS.

A. N. Souza, S. Silvestri, K. Deck, T. Bischoff, R. Ferrari, G. R. Flierl (2025). Surface to Seafloor: A Generative AI Framework for Decoding the Ocean Interior State. arXiv preprint arXiv:2504.15308.

S. Silvestri, G. L. Wagner, N. C. Constantinou, C. N. Hill, J.-M. Campin, A. N. Souza, S. Bishnu, V. Churavy, J. C. Marshall, R. Ferrari (2025). A GPU-based ocean dynamical core for routine mesoscale-resolving climate simulations. JAMES.

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M. Wang, A. N. Souza, R. Ferrari, T. Sapsis (2025). Stochastic Emulators of Spatially Resolved Extreme Temperatures of Earth System Models. Authorea, Inc..

G. L. Wagner, A. Hillier, N. C. Constantinou, S. Silvestri, A. N. Souza, K. Burns, C. Hill, J.-M. Campin, J. Marshall, R. Ferrari (2025). Formulation and calibration of CATKE, a one-equation parameterization for microscale ocean mixing. JAMES.

G. L. Wagner, S. Silvestri, N. C. Constantinou, A. Ramadhan, J.-M. Campin, C. Hill, T. Chor, J. Strong-Wright, X. K. Lee, F. Poulin, A. N. Souza, K. J. Burns, J. Marshall, R. Ferrari (2025). High-level, high-resolution ocean modeling at all scales with Oceananigans. arXiv preprint.

Ludovico T. Giorgini, Katherine Deck, Tobias Bischoff, Andre N. Souza (2024). Response Theory via Generative Score Modeling. Phys. Rev. Lett., 133(26), 267302.

G. R. Flierl, A. N. Souza (2024). On the non-local nature of turbulent fluxes of passive scalars. JFM, 986, A8.

G. Geogdzhayev, A. N. Souza, R. Ferrari (2024). The evolving butterfly: Statistics in a changing attractor. Physica D: Nonlinear Phenomena, 462, 134107.

A. N. Souza (2024). Representing turbulent statistics with partitions of state space. Part 2. The compressible Euler equations. Journal of Fluid Mechanics, 997, A2.

A. N. Souza (2024). Representing turbulent statistics with partitions of state space. Part 1. Theory and methodology. Journal of Fluid Mechanics, 997, A1.

L. T. Giorgini, A. N. Souza, P. J. Schmid (2024). Reduced Markovian models of dynamical systems. Physica D: Nonlinear Phenomena, 134393.

O. R. A. Dunbar, M. Bieli, A. Garbuno-Iñigo, M. Howland, A. N. De Souza, L. A. Mansfield, G. L. Wagner, N. Efrat-Henrici (2024). CalibrateEmulateSample.jl: Accelerated Parametric Uncertainty Quantification. Journal of Open Source Software, 9(97), 6372.

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S. Silvestri, G. L. Wagner, J.-M. Campin, N. C. Constantinou, C. N. Hill, A. Souza, R. Ferrari (2024). A New WENO-Based Momentum Advection Scheme for Simulations of Ocean Mesoscale Turbulence. Journal of Advances in Modeling Earth Systems, 16(7), e2023MS004130.

A. N. Souza, T. Lutz, G. R. Flierl (2023). Statistical non-locality of dynamically coherent structures. JFM, 966, A44.

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A. N. Souza, J. He, T. Bischoff, M. Waruszewski, L. Novak, V. Barra, T. Gibson, A. Sridhar, S. Kandala, S. Byrne, L. C. Wilcox, J. Kozdon, F. X. Giraldo, O. Knoth, J. Marshall, R. Ferrari, T. Schneider (2023). The Flux-Differencing Discontinuous Galerkin Method Applied to an Idealized Fully Compressible Nonhydrostatic Dry Atmosphere. Journal of Advances in Modeling Earth Systems, 15, e2022MS003527.

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A. N. Souza, I. Tobasco, C. R. Doering (2020). Wall-to-wall optimal transport in two dimensions. Journal of Fluid Mechanics, 889, A34.

A. N. Souza, G. L. Wagner, A. Ramadhan, B. Allen, V. Churavy, J. Schloss, J. Campin, C. Hill, A. Edelman, J. Marshall, G. Flierl, R. Ferrari (2020). Uncertainty Quantification of Ocean Parameterizations: Application to the K-Profile-Parameterization for Penetrative Convection. Journal of Advances in Modeling Earth Systems, 12(12), e2020MS002108.

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N. Bhamidipati, A. N. Souza, G. R. Flierl (2020). Turbulent mixing of a passive scalar in the ocean mixed layer. Ocean Modelling, 149, 101615.

A. Ramadhan, G. L. Wagner, C. Hill, J. Campin, V. Churavy, T. Besard, A. Souza, A. Edelman, R. Ferrari, J. Marshall (2020). Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs. Journal of Open Source Software, 5(53), 2018.

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A. N. Souza, M. Tao (2019). Metastable transitions in inertial Langevin systems: What can be different from the overdamped case?. European Journal of Applied Mathematics, 30(5), 830–852.

A. N. Souza, C. R. Doering (2015). Transport bounds for a truncated model of Rayleigh--Bénard convection. Physica D: Nonlinear Phenomena, 308, 26-33.

A. N. Souza, C. R. Doering (2015). Maximal transport in the Lorenz equations. Physics Letters A, 379(6), 518-523.

A. N. Souza, D. J. Perkins, C. E. Starrett, D. Saumon, S. B. Hansen (2014). Predictions of x-ray scattering spectra for warm dense matter. Phys. Rev. E, 89(2), 023108.