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Paper Citation Record · LEDGER

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

As of 20 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 13 inbound Pith citation observations for arXiv:2501.19374.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.19374 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T20:34:01.733039Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:21:08.302534Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

41 of 41 outbound references displayed

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  • verified fuzzy6
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External citation measurements

5
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation a7861609-1428-4ab1-9b95-97c5746f9b7b · outbound

This paper cites P., Andersson, T.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function P., Andersson, T

Reference 1

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Observation 5107fb12-97e1-4fa8-8e6e-4c9493fe1309 · outbound

This paper cites What if? Numerical weather prediction at the crossroads.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function What if? Numerical weather prediction at the crossroads

Reference 2

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Observation 0d78da7a-e5f3-45d5-bae3-d25e0e6e6f21 · outbound

This paper cites R., Ha, S.-Y., Hacker, J.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function R., Ha, S.-Y., Hacker, J

Reference 3

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Observation 78a9b094-5b35-46cb-8f67-ae1d21c9a7cc · outbound

This paper cites Accurate medium-range global weather forecasting with 3D neural networks.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Accurate medium-range global weather forecasting with 3D neural networks

Reference 4

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Observation 15fa88ef-abc1-4942-a347-03fc431aa3b1 · outbound

This paper cites Spherical Fourier Neural Operators : Learning Stable Dynamics on the Sphere.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Spherical Fourier Neural Operators : Learning Stable Dynamics on the Sphere

Reference 5

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Observation 5c2ac605-5ac4-4555-a940-4c265ca6536f · outbound

This paper cites D., Cohen, Y., Pathak, J., Mahesh, A., Bonev, B., Kurth, T., Durran, D.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function D., Cohen, Y., Pathak, J., Mahesh, A., Bonev, B., Kurth, T., Durran, D

Reference 6

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Observation 9c95fe25-befa-41ec-9f45-78ef3df88bbb · outbound

This paper cites T., and Maulik, R.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function T., and Maulik, R

Reference 7

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Observation b277d160-9a78-4079-8c65-b859d4747a37 · outbound

This paper cites FengWu : Pushing the Skillful Global Medium -range Weather Forecast beyond 10 Days Lead , April 2023.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function FengWu : Pushing the Skillful Global Medium -range Weather Forecast beyond 10 Days Lead , April 2023

Reference 8

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Observation 58ae2ffb-5e2d-4551-8d2e-a0705a215348 · outbound

This paper cites ArchesWeather & ArchesWeatherGen: a deterministic and generative model for efficient ML weather forecasting.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function ArchesWeather & ArchesWeatherGen: a deterministic and generative model for efficient ML weather forecasting

Reference 9

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Observation e688be83-c175-404d-bf50-4bf32b132db5 · outbound

This paper cites Progress and challenges in forecast verification.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Progress and challenges in forecast verification

Reference 10

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Observation 0caa7070-5b37-471a-8862-11625ce80f47 · outbound

This paper cites and Raftery, A.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function and Raftery, A

Reference 11

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Observation 5e27d4a2-d31f-489b-95c3-aedbe41b8c52 · outbound

This paper cites FengWu-GHR: Learning the Kilometer-scale Medium-range Global Weather Forecasting.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function FengWu-GHR: Learning the Kilometer-scale Medium-range Global Weather Forecasting

Reference 12

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Observation e1e844d3-3680-453e-997f-af1a94f36685 · outbound

This paper cites J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N

Reference 13

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Observation e795090d-171e-434d-8c52-cd7560cf92bb · outbound

This paper cites N., Liu, Z., Louis, J.-F., and Grassoti, C.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function N., Liu, Z., Louis, J.-F., and Grassoti, C

Reference 14

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Observation 2020fc16-cc86-462b-8de0-fc9a30cbce5e · outbound

This paper cites Leveraging data-driven weather models for improving numerical weather prediction skill through large-scale spectral nudging.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Leveraging data-driven weather models for improving numerical weather prediction skill through large-scale spectral nudging

Reference 15

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Observation 372960f1-8cea-42b6-b3ff-acbf3bd33291 · outbound

This paper cites Forecasting Global Weather with Graph Neural Networks.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Forecasting Global Weather with Graph Neural Networks

Reference 16

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Observation c5f84db8-da36-4437-8994-fdd0dcc3f16b · outbound

This paper cites P., Jablonowski, C., and Rood, R.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function P., Jablonowski, C., and Rood, R

Reference 17

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Observation e46cb6b9-5f63-4fb0-a629-c8b1e306f204 · outbound

This paper cites R., Kruk, M.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function R., Kruk, M

Reference 18

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Observation 6a1d5c60-1df1-4068-88c0-846edb6c5111 · outbound

This paper cites P., and Hoyer, S.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function P., and Hoyer, S

Reference 19

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Observation 7d90ea6f-074c-4f66-9fe2-d48c501fa627 · outbound

This paper cites FourCastNet : Accelerating Global High - Resolution Weather Forecasting Using Adaptive Fourier Neural Operators.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function FourCastNet : Accelerating Global High - Resolution Weather Forecasting Using Adaptive Fourier Neural Operators

Reference 20

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Observation 4549f72b-036f-4652-801f-03a28ec09fb6 · outbound

This paper cites and Ebert-Uphoff, I.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function and Ebert-Uphoff, I

Reference 21

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Observation 75041eba-1cfa-40eb-a9a4-95c766c6bd3c · outbound

This paper cites Learning skillful medium-range global weather forecasting.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Learning skillful medium-range global weather forecasting

Reference 22

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Observation e02d97c6-5a2b-47e7-bb5e-21c20dd281ad · outbound

This paper cites GraphCast GitHub repository, July 2024.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function GraphCast GitHub repository, July 2024

Reference 23

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Observation eccc980b-a63e-43c0-8d13-a2323eae6653 · outbound

This paper cites AIFS -- ECMWF's data-driven forecasting system.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function AIFS -- ECMWF's data-driven forecasting system

Reference 24

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Observation 12691009-88c3-42ae-bab3-bdf303756237 · outbound

This paper cites AIFS-CRPS: Ensemble forecasting using a model trained with a loss function based on the Continuous Ranked Probability Score.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function AIFS-CRPS: Ensemble forecasting using a model trained with a loss function based on the Continuous Ranked Probability Score

Reference 25

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Observation 6e78ad8f-52ce-48ca-a18c-4ed52d305273 · outbound

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Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function and Palmer, T

Reference 26

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Observation c1c8939d-c264-4429-ab3a-5fcc08eaff52 · outbound

This paper cites Generative emulation of weather forecast ensembles with diffusion models.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Generative emulation of weather forecast ensembles with diffusion models

Reference 27

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Observation 3caaf956-bbf8-4c15-9e59-9c7820325c68 · outbound

This paper cites PDE - Refiner : Achieving Accurate Long Rollouts with Neural PDE Solvers.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function PDE - Refiner : Achieving Accurate Long Rollouts with Neural PDE Solvers

Reference 28

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Observation 38386fc6-5bb3-42b5-b3ac-3f4c332bdfb3 · outbound

This paper cites Decoupled Weight Decay Regularization.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Decoupled Weight Decay Regularization

Reference 29

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Observation f64652a6-e363-4402-a444-f1a3e1f537ab · outbound

This paper cites Huge Ensembles Part I: Design of Ensemble Weather Forecasts using Spherical Fourier Neural Operators.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Huge Ensembles Part I: Design of Ensemble Weather Forecasts using Spherical Fourier Neural Operators

Reference 30

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Observation 2e803aaf-4ae4-4dda-933b-981eff9eac3f · outbound

This paper cites GraphCast with GFS input, 2024.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function GraphCast with GFS input, 2024

Reference 31

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Observation bccc781d-3b67-4eee-a58b-74d453cb4f80 · outbound

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Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Unresolved cited work

Reference 32

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This paper cites R., El-Kadi, A., Masters, D., Ewalds, T., Stott, J., Mohamed, S., Battaglia, P., Lam, R., and Willson, M.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function R., El-Kadi, A., Masters, D., Ewalds, T., Stott, J., Mohamed, S., Battaglia, P., Lam, R., and Willson, M

Reference 33

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Observation dcd0e057-ffda-4277-b6e1-9cffe10af0d8 · outbound

This paper cites WeatherBench 2: A Benchmark for the Next Generation of Data - Driven Global Weather Models.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function WeatherBench 2: A Benchmark for the Next Generation of Data - Driven Global Weather Models

Reference 34

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This paper cites an unresolved cited work.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Unresolved cited work

Reference 35

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Observation f53f7b2c-38e4-4cb6-8522-7f7620df8851 · outbound

This paper cites C., Whitaker, J.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function C., Whitaker, J

Reference 36

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Observation 9d3bc5ba-bade-4453-9c72-bf74bccffdda · outbound

This paper cites Efficient fine-tuning of 37-level GraphCast with the Canadian global deterministic analysis.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function Efficient fine-tuning of 37-level GraphCast with the Canadian global deterministic analysis

Reference 37

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Observation 8bee1385-9cfa-488f-a030-179cc5a511b8 · outbound

This paper cites and Schröder, P.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function and Schröder, P

Reference 38

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Observation 9c47cd8b-78a1-4f03-b0f7-6d932e4596b7 · outbound

This paper cites and Ahrens, B.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function and Ahrens, B

Reference 39

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Observation 3cc1efc4-c46c-486b-9418-cff3724b7b70 · outbound

This paper cites A., Durran, D.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function A., Durran, D

Reference 40

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This paper cites A., Roch, M., Bélair, S., and Leduc, A.-M.

Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function A., Roch, M., Bélair, S., and Leduc, A.-M

Reference 41

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Pith citing papers

Observation 7cb1f3a0-ed9f-4935-aa0f-4a8ba9705387 · inbound

Machine Learning (ML)-Physics Fusion Model Outperforms Both Physics-Only and ML-Only Models in Typhoon Predictions cites this paper.

Machine Learning (ML)-Physics Fusion Model Outperforms Both Physics-Only and ML-Only Models in Typhoon Predictions Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 15

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Forecast error diagnostics in neural weather models cites this paper.

Forecast error diagnostics in neural weather models Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 40

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HRRRCast: a data-driven emulator for regional weather forecasting at convection allowing scales cites this paper.

HRRRCast: a data-driven emulator for regional weather forecasting at convection allowing scales Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 30

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FourCastNet 3: A geometric approach to probabilistic machine-learning weather forecasting at scale cites this paper.

FourCastNet 3: A geometric approach to probabilistic machine-learning weather forecasting at scale Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 19

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Observation aab5e7b4-0442-42a5-b112-80c1693b4c25 · inbound

A comparison of stretched-grid and limited-area modelling for data-driven regional weather forecasting cites this paper.

A comparison of stretched-grid and limited-area modelling for data-driven regional weather forecasting Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 39

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Evaluating Extreme Precipitation Forecasts: A Threshold-Weighted, Spatial Verification Approach for Comparing an AI Weather Prediction Model Against a High-Resolution NWP Model cites this paper.

Evaluating Extreme Precipitation Forecasts: A Threshold-Weighted, Spatial Verification Approach for Comparing an AI Weather Prediction Model Against a High-Resolution NWP Model Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 57

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Efficient Parameter Calibration of Numerical Weather Prediction Models via Evolutionary Sequential Transfer Optimization cites this paper.

Efficient Parameter Calibration of Numerical Weather Prediction Models via Evolutionary Sequential Transfer Optimization Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 42

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The Rise of AI in Weather and Climate Information and its Impact on Global Inequality cites this paper.

The Rise of AI in Weather and Climate Information and its Impact on Global Inequality Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 68

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Blending machine learning and physics-based approaches for weather and climate: a typology cites this paper.

Blending machine learning and physics-based approaches for weather and climate: a typology Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 3

Resolution
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PhysMetrics.Weather: An Evaluation Framework for Physical Consistency in ML Weather Models cites this paper.

PhysMetrics.Weather: An Evaluation Framework for Physical Consistency in ML Weather Models Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 14

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Rigorous uncertainty quantification of probabilistic AI weather forecasts with conformal prediction cites this paper.

Rigorous uncertainty quantification of probabilistic AI weather forecasts with conformal prediction Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 81

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CORDEX-ML-Bench: A Benchmark for Data-Driven Regional Climate Downscaling -Experiment Design and Overview cites this paper.

CORDEX-ML-Bench: A Benchmark for Data-Driven Regional Climate Downscaling -Experiment Design and Overview Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 79

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Paleoclimate Boundary Conditions as an Out-of-Sample Test for the Forced Response of Ocean Climate Emulators cites this paper.

Paleoclimate Boundary Conditions as an Out-of-Sample Test for the Forced Response of Ocean Climate Emulators Fixing the Double Penalty in Data-Driven Weather Forecasting Through a Modified Spherical Harmonic Loss Function

Reference 42

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