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Constructing a machine-learning-ready dataset

Constructing an ML-ready dataset from EO imagery introduces challenges that have no direct analog in standard computer vision: spatial autocorrelation in the labels inflates apparent performance [1], [2] if not handled at the splitting stage, geographic bias in the sampling distorts what the model learns, and the choice of tiling and gridding scheme can silently introduce data leakage or duplication. We address these issues in turn, starting with the data formats that underpin the entire dataset design.

Data formats

The data format used to store an ML-ready dataset is a creation time decision that propagates through the entire pipeline. It defines how array payloads are physically laid out, how metadata are encoded, how chunks or tiles are addressed, and which codec is required to decode the data. These choices are not strictly irreversible, but changing them requires repacking, rechunking, or rewriting the dataset, and they should therefore be treated as part of the dataset design rather than as a late implementation detail. The most important consequence of a format choice is the efficiency of the access pattern. The optimal layout minimizes over-read, understood as the gap between bytes fetched from storage and bytes actually used by the model. In practice, this depends on how well the physical layout matches the logical access pattern of training, including the shape of the chunks, the band interleaving strategy, the compression block size, the placement of metadata, and the latency of the storage backend. Most formats used for ML on EO data can be understood through three broad storage patterns, summarized in Table 6.1.

Container formats with an internal index

The first pattern stores data inside binary containers, each with its own internal metadata and offset structures. HDF5 [3], netCDF-4 [4], GeoTIFF [5], and COG [6] belong to this family. HDF5 (Hierarchical Data Format 5) organizes data as hierarchical groups and arrays, with chunked storage the only layout supporting compression. NetCDF-4 [7] builds on HDF5 while imposing the NetCDF (Network Common Data Form) data model of named variables, dimensions, and attributes, and is usually paired with the Climate and Forecast conventions [8], which enables the comparison of datasets from different sources without ad hoc translation. GeoTIFF (georeferenced TIFF) extends TIFF (Tag Image File Format) with geospatial keys that tie raster coordinates to a coordinate reference system. Unlike HDF5 and netCDF-4, it is fundamentally a two-dimensional raster format, so spectral bands are carried as samples per pixel or as separate images, rather than as axes of an N-dimensional array. COG is a profile of GeoTIFF that constrains this layout for efficient partial reads over HTTP. Two properties govern performance across the family. The first is the order in which array values are serialized, called the interleave (or chunk shape), which fixes which neighbors end up physically adjacent in the file and therefore which reads are cheap. The second is the cost of opening the file. The internal index of offsets and byte lengths must be fetched before any data can be addressed, but once that index sits in memory, reads to individual chunks are independent and parallel by design.

Key-value chunk stores

The second pattern stores arrays as independently addressable chunks in a key-value store, of which Zarr [9] is the canonical example. Each encoded chunk sits under a key in an abstract store, which may be a directory on a filesystem or any backend exposing equivalent read and write operations. This removes the need to open a single monolithic container before locating chunk data, since the storage keys themselves provide the addressing mechanism, which aligns naturally with distributed readers and parallel workloads. The trade-off is that a naive Zarr layout can create very large numbers of small files or objects, which stresses POSIX metadata operations and filesystem inode limits, or inflates object storage request overhead. The Zarr v3 sharding extension (ZEP 2) addresses this by packing multiple logical chunks into a larger physical storage object while preserving chunk level access. Zarr defines array storage, chunking, codecs, and metadata containers, but not the geospatial meaning of coordinates, CRS, or affine transforms, which GeoZarr and related conventions are emerging to supply.

Chunk size is a property of the workload as much as of the format. In one cloud-scale Xarray/Dask analysis of a 250 TB Zarr archive, increasing chunks from about 200 MiB to about 840 MiB shrank the task graph from 1.3 million to about 320,000 tasks and eliminated memory spilling on the workers [10].

Columnar tables

The third pattern stores samples as rows rather than arrays as chunks. Not every model consumes patches: for pixel-based algorithms, a table is the natural container. GeoParquet stores samples as rows, features and labels as columns, and the row group rather than the chunk as the unit of access; the geometry column keeps each sample georeferenced. Reading a subset of columns does not require touching the others, which suits feature tables that are wide but sparsely used.

Table 6.1: Storage layout and practical properties of array and raster data formats relevant for AI4EO datasets.
Format Storage model Typical payload Random access mechanism Geospatial metadata
HDF5 Single binary container with groups, datasets, metadata, and internal chunk indices Heterogeneous N-dimensional scientific arrays Contiguous or compact offsets, or chunk index; performance depends on chunk shape Optional; requires domain-specific conventions
netCDF-4 netCDF data model on an HDF5 backend N-dimensional variables with named dimensions, attributes, and groups HDF5 chunking through the netCDF API Usually via CF conventions
GeoTIFF TIFF image container extended with GeoTIFF tags and keys Georeferenced raster imagery, usually 2-D with bands Strips or tiles; efficient spatial access requires tiling Built-in through GeoTIFF tags and keys
COG Tiled GeoTIFF with all metadata first and internal overviews Cloud-distributed geospatial rasters and image scenes Tile offsets and HTTP range requests; overviews avoid full-resolution reads Built-in through GeoTIFF tags and keys
Zarr Key–value hierarchy of metadata documents and encoded chunks Chunked N-dimensional arrays for cloud or distributed processing Chunk keys computed from grid indices; v3 sharding groups chunks into larger objects Usually CF conventions via xarray; GeoZarr emerging
(Geo)Parquet Columnar table of row groups with per-column statistics Tabular samples: one row per pixel or object, features and labels as columns Row-group offsets with column selection; no spatial chunking Geometry column and CRS via the GeoParquet specification
NoteRunning example · Which axis has to be contiguous

WorldCereal trains a per-pixel classifier on summary features computed from each location’s time series. The series must be read time-contiguously to compute them, but what the training loop reads is one row per pixel.

CHM trains on spatial patches, so space is the axis that must be contiguous and the data stay as chunked arrays.

Neither layout is better than the other, and neither is a property of the data: the access pattern is fixed by the model. This is why the format decision cannot be deferred until the dataset has been built.

NoteDecision · Which access pattern to optimize for

Alternatives. Store patch-contiguous, with spatial chunks covering one or few dates; store time-contiguous, with all dates for a small spatial extent in one chunk; or store tabular, one row per sample, for pixel-based models.

Trade-off. Each layout serves one read shape at a single read per sample and the others at many. Mixed workloads either accept the penalty, maintain two copies, or repack between stages.

Constrains. The choice is fixed by the model’s input shape, so it cannot be settled before the architecture is; and repacking a built dataset is a second full pass over the archive, at a cost comparable to generating it.

Dataset splits

When evaluating the performance of an ML model, we want to avoid over-confident results. A conventional uniformly at random assignment of data samples to training and test sets can bias the evaluation if labels are spatially auto-correlated and clustered [11]. A widely spread approach to tackle spatial autocorrelation is to perform block cross-validation, which Roberts et al. [12] recommend using “wherever dependence structures exist in a dataset, even if no correlation structure is visible in the fitted model residuals, or if the fitted models account for such correlations”. Spatial \(K\)-fold block cross-validation first divides the area into non-overlapping spatial blocks of a certain size, before assigning each block to one of \(K\) folds. Model training and evaluation are then performed using the leave-one-fold-out method, where samples from a single fold are set aside for model evaluation, while samples from the remaining \(K-1\) folds are used for model training, and the process is repeated for each fold, as in [13], [14]. Alternatively, one fold can be assigned for model evaluation, one fold for validation, and the \(K-2\) others for training, as in [15]. Results are then reported across the concatenated test folds. In order to avoid cross-fold contamination, a good practice consists in enforcing spatial buffers between blocks, as in [15]. Buffers and block size address the same underlying issue and are partially substitutable: sufficiently large blocks reduce edge leakage to negligible levels without explicit buffers [12], while buffers are most useful when block size is constrained by study extent or sample distribution. We illustrate those different approaches in Figure 6.1. While spatial block cross-validation provides a reliable assessment of model generalizability, most works perform a more limited spatial block validation equivalent to setting \(K=1\), in which blocks are partitioned once and randomly assigned to train, validation, and test sets [16], [17], [18], [19]. The definition of a block varies across works. Some impose a regular grid (Mosig et al. [13] grid the Earth into non-overlapping blocks of 50 km in an equal area projection) while others adopt the geographical unit at which the data is delivered, such as Sentinel-2 tiles [20] or Planet quads [17], [21]. Lusk et al. [14] take a more principled approach, determining the spatial autocorrelation via semivariograms at a \(1\text{km}^2\) resolution and defining hexagonal blocks accordingly. The appropriate block size depends on the spatial scale of residual autocorrelation: blocks should be substantially larger than the distance at which model residuals become uncorrelated, since smaller blocks leave train and test samples near boundaries effectively dependent [12]. We elaborate on various gridding choices and their implications in the next section.

Figure 6.1: Random splits leave train and test points autocorrelated, producing optimistic error estimates (a). Spatial blocks separate folds geographically, but when blocks are not much larger than the range of residual autocorrelation, points near block boundaries remain correlated across folds (b). Adding a buffer zone that excludes near-boundary samples removes this leakage and yields realistic evaluation (c). Equivalently, blocks sized substantially larger than the residual autocorrelation range can achieve realistic evaluation without explicit buffers. The buffered design is most useful when block size is constrained by data extent or sample distribution.

While we have focused on spatial blocking, the underlying principle generalizes to any source of dependence in the data: folds must be independent along whatever structure the model is expected to extrapolate across. Extensions include phylogenetic blocking for taxonomic relatedness [22], temporal blocking for serial autocorrelation [23], and blocking in environmental or feature space, which tests generalization to novel conditions rather than novel locations [24]. The appropriate choice depends on what form of generalization the evaluation is meant to characterize.

Furthermore, in the case of geographically distributed labeled data, it might be of interest to evaluate the performance of the model for different regions, by defining individual splits for each region, as in [18]. This also enables the assessment of a model’s geographical generalization abilities in a comprehensive manner: any region can be held out from the training set and be evaluated on, as in [25].

NoteRunning example · How the two products drew their splits

WorldCereal divides its data randomly into 70% train, 20% validation and 10% test samples, a split that takes no account of spatial structure at all.

CHM holds out one test area of \(960\,\text{m}\times960\,\text{m}\), placed at random inside each Sentinel-2 tile. Every tile therefore contributes both training and test data, and the separation between them rests on a minimum distance of 360 m between training and testing patches.

NoteTry it · Spatial block cross-validation

The spatial_block_cv notebook compares random, block and buffered cross-validation against the true error of a synthetic map, and sizes blocks from the residual semivariogram.

Spatial gridding

A map-making pipeline involves not one, but four different grids. The source grid is how the EO data archive is organized; it is inherited, and its seams and overlap are to be dealt with (see Optical data selection). The sampling grid indexes the dataset: it determines which locations become samples, how they are deduplicated, and where the boundaries between training and test data fall. The inference grid partitions the Earth for prediction, and the product grid determines how the finished map is stored and distributed; both are discussed in Map production and distribution. We hereby discuss the second. The three properties compared in Table 6.2 are the ones that matter for sampling: a grid is equal-area if every cell represents the same ground area; conformal if it preserves local angles and shapes, so that a square pixel corresponds to a square patch on the ground; and globally continuous if it covers the Earth without seams or inter-zone overlaps. We group candidate grids into four families, which we now describe.

Table 6.2: Comparison of candidate grids for global EO dataset construction. Globally continuous indicates that the grid tiles the entire sphere with each point assigned to a uniquely defined cell and well-defined adjacency across all cell boundaries. \(\approx\)  indicates that the property holds approximately but not exactly. 📍 The property holds locally within a single UTM zone, not globally. \(^a\) Clips at \(\pm85^\circ\) latitude. \(^b\) Continental boundaries have 50 km overlap. \(^c\) Grid cells do not align cleanly across the antimeridian. \(^d\) Via implicit Voronoi tessellation of sample points. \(^e\) Point-based grid; projection not prescribed.
Grid Equal-area Conformal Globally continuous
Geographic
Plate carrée × × ✓
Projection-based
Web Mercator × ✓ ✓\(^a\)
UTM / MGRS ×, ✓📍 ×, ✓📍 ×
Equi7 Grid \(\approx\) × ×\(^b\)
Equal Earth grid ✓ × ×\(^c\)
DGGS
S2 Geometry \(\approx\) × ✓
H3 \(\approx\) × ✓
HEALPix ✓ × ✓
Indexing
Major TOM \(\approx^d\) n/a\(^e\) ✓

Geographic grids

Geographic grids partition the Earth by lines of constant latitude and longitude, indexing cells in angular rather than metric units. The simplest instance is plate carrée: cells of fixed angular extent that are trivial to index but whose ground area scales with the cosine of the latitude. A \(1^\circ \times 1^\circ\) cell covers approximately 12,300 km\(^2\) at the equator and about 2000 km\(^2\) at \(80^\circ\) latitude, such that uniform sampling on this grid systematically oversamples high latitudes.

Projection-based tilings

Projection-based tilings lay a regular metric Cartesian grid over a planar coordinate system produced by a general-purpose cartographic projection. The grid’s geometric properties (conformality, area preservation, global continuity) are inherited from the projection. Web Mercator (EPSG:3857) is the industry standard of \(256\times256\) pixel tiles used by web mapping platforms. It is conformal but not equal-area, with ground resolution varying by roughly a factor of six between the equator and \(\pm80^\circ\) latitude. UTM partitions the globe into 60 UTM zones of \(6^\circ\) width, each with a conformal transverse Mercator projection. MGRS [26] subdivides each UTM zone by \(\approx8^\circ\) latitude bands into grid zones, each further divided into 100 km × 100 km squares. The Sentinel-2 tiling scheme, which inherits the UTM/MGRS framework, delivers products as 109.8 km × 109.8 km tiles, such that locations within the resulting ≈10 km border strips appear in two (or more) tiles [27]. The Equi7 Grid [28] uses seven continental sub-grids in Equidistant Azimuthal projections with a multi-level tiling structure (100 km \(\times\) 100 km at level T1), offering a principled alternative to MGRS. A single worldwide plane is simpler still: partitioning an equal-area projection such as Equal Earth (EPSG:8857) into regular cells gives exact equal-area stratification, at the cost of shape distortion toward the poles and a discontinuity at the antimeridian.

Discrete Global Grid Systems (DGGS)

Discrete Global Grid Systems are tessellations of the sphere designed to provide approximately or exactly equal-area cells with global continuity, avoiding the zone boundaries and overlaps of projection-based tilings. S2 Geometry [29] projects the sphere onto a cube and subdivides each face via a quadtree, yielding approximately equal-area quadrilateral cells (area ratio \(\leq 2\) at any level). H3 [30] tiles the sphere in nested hexagons with similar distortion bounds. HEALPix [31] achieves exact equal-area pixelation of the sphere on iso-latitude rings; its rHEALPix variant [32] unfolds the tessellation onto a planar rectangle.

Indexing grids

The three families above all define cells, committing to a geometry before any imagery is read. A fourth approach defines only an index and leaves the geometry to the source. Major TOM [33] defines a set of approximately equidistant sampling points on the WGS84 ellipsoid, adapting longitudinal spacing to latitude so that high latitudes are not oversampled, while prescribing neither projection nor cell extent; patches are extracted in the source product’s native CRS.

NoteDecision · Which grid to sample and split over

Alternatives. A geographic grid, trivial to index but with cell area varying by latitude; a projection-based tiling such as UTM/MGRS, which matches how optical archives are delivered but carries zone seams and tile overlaps; a discrete global grid system, which buys equal-area cells and global continuity at the cost of reprojecting every patch; or an indexing grid that defines no cell at all.

Trade-off. Equal-area cells make sampling density interpretable as labels per unit ground area and make area-based statistics meaningful; conformal, archive-native tilings avoid resampling the imagery. No grid offers both, and the choice is between distorting the sampling or distorting the pixels.

Constrains. A grid whose cells overlap cannot guarantee disjoint splits however the folds are assigned, deduplication has to operate in a common geographic reference rather than on cell identifiers, and uniform sampling over its cells is biased toward the overlaps.

NoteTry it · Compare grids

The grid_comparison notebook measures cell-area distortion across grids, the bias of per-cell sampling caps, the overlap of the Sentinel-2 tiling, and how much a tile-based split leaks.

Data samples

With the data format, splitting strategy, and grid in place, the final step is to extract the actual samples used to train the model. We define a data sample as a \(W\times H\times T \times C\) patch, where \(W\) is the width, \(H\) is the height, \(T\) is the number of time steps, and \(C\) is the number of channels (dimensionality of the EO data at hand). This process involves three considerations: the choice of projection, the sampling strategy, and the optional alignment of the various data modalities.

Sampling strategy

ML researchers typically need to extract EO data samples corresponding to a set of labeled points (or polygons) distributed non-uniformly. In label-scarce regimes, the classic approach is to extract a sample per label, a sampling design that inherits the geographic bias the labels might have. An alternative approach is to sample a certain number of samples per grid cell, keeping all labels in sparsely populated cells and subsampling in densely populated ones, preventing dense regions from dominating. The area that each cell represents impacts the sampling: if the cells have area variation (like S2/H3) or are latitude-distorted (plate carrée), this sampling implicitly gives smaller cells more samples per unit area. For the cap to correspond to a true “labels per \(\text{km}^2\)” ceiling, one can use equal-area grids (HEALPix) or weight by cell area.

Projection choice

The projection in which training samples are processed is a separate decision from the projection in which the finished map is delivered, and the two need not agree. This paragraph concerns the first, and Map production and distribution the second. Most works keep the training data in the native CRS at which it is distributed [13], [19], [20], [34], [35], [36], [37], which for Sentinel-2 is UTM/WGS84. UTM is conformal and holds ground sampling distance near-constant within a zone, so a pixel represents approximately \(10\text{ m}\times 10\text{ m}\) on the ground everywhere within a zone [38] and a patch of fixed pixel dimensions covers a near-constant ground area. Others reproject to a single global CRS such as EPSG:3857 (Web Mercator) [21] or EPSG:4326 [18]. The cost is that the same patch then represents different ground areas at different latitudes, so a model with a fixed receptive field sees a different spatial scale depending on where its training sample came from. If a single global CRS is required, an equal-area projection (e.g., Equal Earth, EPSG:8857) holds that area constant, at the cost of shape distortion.

Multimodal alignment

When training patches combine data from multiple sensors (e.g., Sentinel-2 and ALOS-2 PALSAR-2), the inputs will generally differ in native projection, pixel spacing, and temporal sampling. The most common solution is to reproject and resample all modalities onto a shared grid and resolution before patch extraction, so that each training sample is aligned. This simplifies the data loader and model architecture but forces a choice of target resolution. The choice of resampling kernel also interacts with the downstream task: nearest-neighbor preserves categorical or integer-valued layers but introduces blocky patterns, whereas smooth kernels suit continuous fields but blur edges. An alternative is to preserve each modality at its native resolution and delegate alignment to the model architecture (see Model design and training), avoiding information loss at the cost of greater architectural complexity.

Taken together, these considerations argue for decoupling two concepts that are often conflated: the indexing strategy (how to select samples) and the patch projection (the coordinate system each sample lives in). Indexing should be done on a global grid that minimizes over-/under-sampling and overlap, independently of the patch projection and of how the EO data is tiled. Operations that rely on geography, such as train/test splitting, should be done on this grid. The patch projection, by contrast, only needs to minimize distortion at the scale of a single patch. UTM/WGS84, for instance, is a natural choice when the source archive is already UTM-native.

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