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Improving Ocean Predictions with Padding Techniques

This study enhances coastal ocean predictions using machine learning padding methods.

Cheng Zhang, Pavel Perezhogin, Alistair Adcroft, Laure Zanna

― 7 min read


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Table of Contents

When it comes to predicting how the ocean behaves, especially near the coastlines, things can get tricky. The models we use often have gaps in information about what happens in shallow waters or around land. This can lead to mistakes in Predictions, somewhat like trying to guess how a river flows when you've only seen it from a blimp high in the sky. In this study, we look at ways to improve these predictions using machine learning models.

The Challenge of "Out-of-Sample" Problems

Imagine you're a chef who only knows how to cook pasta. Suddenly, you are asked to make sushi. If you don’t know anything about sushi-making, you’ll probably mess it up, right? That’s what happens with machine learning models when they are trained on data from open oceans but have to make predictions near complex Coastal Regions. They just can’t handle the new information well. This issue is called "out-of-sample" problems.

The models that do well in the open ocean don’t always perform as well right next to the shore where the water is shallower and interacts with land. The differences in water depth and flow patterns make coastal predictions much more difficult. This is where our work comes in.

Why CNNs?

To tackle ocean behavior prediction, we often use a type of machine learning called Convolutional Neural Networks (CNNs). Think of CNNs like high-tech dishwashers that clean up messy dishes (data) efficiently. They work well with images, which is similar to how they handle ocean data in grids. But when CNNs come close to land, they can create weird outputs that don’t make any sense – like trying to wash a non-dish item in a dishwasher.

Historically, CNNs have struggled with coastline predictions. They use small, fixed-size pieces of information (called kernels) to process larger data. But when they hit the boundaries where land meets ocean, they get confused.

Introducing Padding Techniques

To help our CNNs cope with these coastal challenges, we explored two main techniques – zero padding and replicate padding.

Zero padding is like putting a nice tablecloth down before serving dinner. You cover up the edges, but underneath, it’s still just a mess. In CNNs, this means filling in unknown values with zeros.

On the other hand, replicate padding is a bit smarter. Instead of just covering things up, it looks at nearby ocean data and fills in the gaps based on what's around them. It’s more like actually serving food that matches the overall meal theme rather than just hiding the mess with a tablecloth.

The Experiment

We decided to test our two padding techniques against each other to see which works better for our ocean predictions. We set up our CNN using data from previous ocean models and focused on generating predictions near coastal areas. Our goal was to see how these methods changed the output of the model in coastal regions.

First, we ran some tests offline, which means we didn’t use a real-time ocean model but instead worked with historical data. This allowed us to get a clearer picture of how things might play out without the complexities of running a live model.

Offline Evaluation of Padding Techniques

When we compared the results from the zero padding and replicate padding, we found something interesting. Using replicate padding improved the accuracy of our predictions significantly. Zero padding often caused the model to miss important information, leading to larger errors. Think of it like trying to create a delicious cake but forgetting one of the key ingredients because you hid it under a layer of frosting.

In areas close to the coast, where the data was more challenging, replicate padding effectively reduced errors by minimizing strange values that could mess up the entire model.

Key Findings

  1. Replicate Padding Wins: It consistently performed better in reducing errors compared to zero padding. The values for the coastal regions became more realistic and aligned closer to what the actual conditions likely are.

  2. Error Reduction: We observed around a 25% decrease in prediction errors in the coastal areas when using replicate padding. This is a significant improvement.

  3. Model Reliability: The errors that popped up were not just random. The model behaved in a more consistent manner, meaning we could better trust its predictions.

Moving to Online Evaluations

After getting promising results from our offline experiments, we decided to take it a step further. We wanted to see if the success of replicate padding would hold up in a real-time ocean model simulation. This phase involved running our model with live data and observing its performance in action.

Test Scenarios

We set up two main test scenarios:

  1. Wind-Driven Double Gyre: This setup mimics the way ocean currents naturally flow due to wind patterns. We tested our model's predictions against this behavior.

  2. Island Interaction: For the second scenario, we added an island into the mix to see how the model performed when the flow of water was obstructed by land.

Online Results with Different Padding Strategies

As we ran our online tests, we began to notice patterns emerge in the data. In scenarios where we included an island, we expected the model to struggle due to the added complexity.

When we didn’t use any boundary condition treatments, the model faced a lot of "over-energization" in the flow. This means it was producing predictions that were excessively strong, almost like a toddler running too fast without looking.

Surprisingly, zero padding didn’t help much in reducing these issues. It failed to eliminate artifacts-the strange outputs we were trying to avoid. In contrast, replicate padding helped align the flow patterns more closely with what we would expect to see in the real world.

Visualization

We created several visual snapshots to compare how well our model was doing in different conditions. The replicate padding showed smoother, more realistic water flow, while zero padding left behind erratic patterns and unusual peaks in energy.

The Effect of Random Initialization

In machine learning, models get initialized with random values before training. This can cause different models trained with the same dataset to produce slightly different outputs. We wanted to know if our padding strategies could help smooth out these differences.

When we retrained our model and compared performances with and without padding, replicate padding again delivered strong and reliable results across multiple runs. This demonstrated its ability to tackle the inconsistencies introduced by random initialization.

Computational Costs

Of course, we also kept an eye on how much extra work these padding strategies were putting on our models. While zero padding added a little extra time to compute, replicate padding required more processing due to the need to calculate average values for gaps.

However, the benefits it provided in improving prediction accuracy outweighed the extra time taken. It’s like deciding to spend a bit longer preparing a meal because you know it will taste better in the end.

Conclusion

In conclusion, this research helps highlight how important it is to address boundary conditions when predicting ocean behavior near coastlines. Using the right padding techniques can significantly improve the accuracy and reliability of machine learning models in these challenging zones.

With our findings, we hope to showcase a practical approach that makes existing ocean models better without requiring complex new architectures. Just as a well-prepared meal combines the best ingredients, a well-tuned model can provide outstanding predictions by managing boundary effects effectively.

As we continue to refine these methods, we anticipate even more exciting and accurate predictions in the future as we seek to better understand the complexities of ocean behavior. So, the next time you hear about ocean models, think of them like chefs creating the perfect dish, making sure every ingredient is accounted for.

Original Source

Title: Addressing out-of-sample issues in multi-layer convolutional neural-network parameterization of mesoscale eddies applied near coastlines

Abstract: This study addresses the boundary artifacts in machine-learned (ML) parameterizations for ocean subgrid mesoscale momentum forcing, as identified in the online ML implementation from a previous study (Zhang et al., 2023). We focus on the boundary condition (BC) treatment within the existing convolutional neural network (CNN) models and aim to mitigate the "out-of-sample" errors observed near complex coastal regions without developing new, complex network architectures. Our approach leverages two established strategies for placing BCs in CNN models, namely zero and replicate padding. Offline evaluations revealed that these padding strategies significantly reduce root mean squared error (RMSE) in coastal regions by limiting the dependence on random initialization of weights and restricting the range of out-of-sample predictions. Further online evaluations suggest that replicate padding consistently reduces boundary artifacts across various retrained CNN models. In contrast, zero padding sometimes intensifies artifacts in certain retrained models despite both strategies performing similarly in offline evaluations. This study underscores the need for BC treatments in CNN models trained on open water data when predicting near-coastal subgrid forces in ML parameterizations. The application of replicate padding, in particular, offers a robust strategy to minimize the propagation of extreme values that can contaminate computational models or cause simulations to fail. Our findings provide insights for enhancing the accuracy and stability of ML parameterizations in the online implementation of ocean circulation models with coastlines.

Authors: Cheng Zhang, Pavel Perezhogin, Alistair Adcroft, Laure Zanna

Last Update: 2024-11-02 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2411.01138

Source PDF: https://arxiv.org/pdf/2411.01138

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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