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@@ -140,23 +140,22 @@ validation period.
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  ### Preprocessing
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  The preprocessing of climate datasets ERA5 and CERRA, extracted from the Climate Data Store (CDS), is a critical step before their utilization in training models.
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- This section defines the preprocessing steps undertaken to homogenize these datasets into a common format.
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- The steps include unit standardization, coordinate system rectification, and grid interpolation.
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- The rationale and methodologies employed in each step are discussed comprehensively, setting a robust foundation for the subsequent training procedure.
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- 1. Unit Standardization: A preliminary step in the preprocessing pipeline involved the standardization of units across both datasets.
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- This was imperative to ensure a uniform unit system, facilitating a seamless integration of the datasets in later stages.
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- The units in both datasets were scrutinized and amended to adhere to a common unit system, thereby eliminating any discrepancies that could hinder the analysis.
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- 2. Coordinate System Rectification: The coordinate system of the datasets was rectified to ensure a coherent representation of geographical information.
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- Specifically, the coordinates and dimensions were renamed to a standardized format with longitude (lon) and latitude (lat) as designated names.
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- The longitude values were adjusted to range from -180 to 180 instead of the initial 0 to 360 range, while latitude values were ordered in ascending order,
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  thereby aligning with conventional geographical coordinate systems.
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- 3. Grid Interpolation: The ERA5 dataset is structured on a regular grid with a spatial resolution of 0.25º, whereas the CERRA dataset inhabits a curvilinear
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- grid with a Lambert Conformal projection of higher spatial resolution (0.05º). To overcome this disparity, a grid interpolation procedure was initiated.
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- This step was crucial to align the datasets onto a common regular grid (with different spatial resolution), thereby ensuring consistency in spatial representation.
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- The interpolation transformed the CERRA dataset to match the regular grid structure of the ERA5 dataset, keeping its initial spatial resolution of 0.05º (5.5 km).
 
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  ### Speeds, Sizes, Times
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  ### Preprocessing
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  The preprocessing of climate datasets ERA5 and CERRA, extracted from the Climate Data Store (CDS), is a critical step before their utilization in training models.
143
+ This section defines the preprocessing steps undertaken to homogenize these datasets into a common format. The steps include unit standardization, coordinate system
144
+ rectification, and grid interpolation. The methodology employed in each step is discussed comprehensively in the following paragraphs:
 
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+ - Unit Standardization: A preliminary step in the preprocessing pipeline involved the standardization of units across both datasets.
147
+ This was imperative to ensure a uniform unit system, facilitating a seamless integration of the datasets in later stages.
 
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+ - Coordinate System Rectification: The coordinate system of the datasets was rectified to ensure a coherent representation of geographical information.
150
+ Specifically, the coordinates and dimensions were renamed to a standardized format with longitude (lon) and latitude (lat) as designated names.
151
+ The longitude values were adjusted to range from -180 to 180 instead of the initial 0 to 360 range, while latitude values were ordered in ascending order,
152
  thereby aligning with conventional geographical coordinate systems.
153
 
154
+ - Grid Interpolation: The ERA5 dataset is structured on a regular grid with a spatial resolution of 0.25º, whereas the CERRA dataset inhabits a curvilinear grid with
155
+ a Lambert Conformal projection of higher spatial resolution (0.05º). To overcome this disparity in the grid system, a grid interpolation procedure is performed.
156
+ This step is crucial to align the datasets onto a common format, a regular grid (with different spatial resolutions), thereby ensuring consistency in spatial
157
+ representation. The interpolation transformed the CERRA dataset to match the regular grid structure of the ERA5 dataset, keeping its initial spatial resolution
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+ of 0.05º (5.5 km).
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  ### Speeds, Sizes, Times
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