| name | torch-geometric |
| description | PyTorch Geometric (PyG) for graph neural networks โ node/link/graph classification, message passing (GCN, GAT, GraphSAGE, GIN), heterogeneous graphs, neighbor sampling, and custom datasets. Use when working with torch_geometric, not for general NetworkX analytics or non-graph PyTorch models. |
| license | MIT license |
| compatibility | Requires Python 3.10+, PyTorch 2.6+, and torch-geometric 2.7.x. Optional extension wheels (pyg-lib, torch-scatter, torch-sparse, torch-cluster) must match your PyTorch/CUDA build from https://data.pyg.org/whl. |
| metadata | version: "1.1" skill-author: K-Dense Inc. |
PyTorch Geometric (PyG)
PyG is the standard library for Graph Neural Networks built on PyTorch. It provides data structures for graphs, 60+ GNN layer implementations, scalable mini-batch training, and support for heterogeneous graphs.
Installation
Tested against torch-geometric 2.7.x (Oct 2025). Requires Python 3.10+ and PyTorch 2.6+.
uv pip install torch
uv pip install torch_geometric
Optional accelerated ops (pyg-lib, torch-scatter, torch-sparse, torch-cluster) are not required for basic PyG usage (since PyG 2.3). Install version-matched wheels from the PyG wheel index after checking your PyTorch and CUDA versions:
python -c "import torch; print(torch.__version__, torch.version.cuda)"
uv pip install pyg-lib torch-scatter torch-sparse torch-cluster \
-f https://data.pyg.org/whl/torch-2.8.0+cu128.html
Check your version:
import torch_geometric
print(torch_geometric.__version__)
Conda: the pyg conda channel is no longer maintained for PyTorch >2.5 โ use uv pip install and the wheel index above instead.
PyG 2.7 notes
PyG 2.7 dropped Python 3.9 and PyTorch โค2.5. See the 2.7.0 release notes for PyTorch 2.6โ2.8 compatibility tables. torch_geometric.distributed is deprecated โ use standard torch.distributed DDP (see references/scaling.md).
Core Concepts
Graph Data: Data and HeteroData
A graph lives in a Data object. The key attributes:
from torch_geometric.data import Data
data = Data(
x=node_features,
edge_index=edge_index,
edge_attr=edge_features,
y=labels,
pos=positions,
)
edge_index format is critical: it's a [2, num_edges] tensor where edge_index[0] = source nodes, edge_index[1] = target nodes. It is NOT a list of tuples. If you have edge pairs as rows, transpose and call .contiguous():
edge_index = edge_pairs.t().contiguous()
For undirected graphs, include both directions: edge (0,1) needs both [0,1] and [1,0] in edge_index.
For heterogeneous graphs, use HeteroData โ see the Heterogeneous Graphs section below.
Datasets
PyG bundles many standard datasets that auto-download and preprocess:
from torch_geometric.datasets import Planetoid, TUDataset
dataset = Planetoid(root='./data', name='Cora')
data = dataset[0]
dataset = TUDataset(root='./data', name='ENZYMES')
Common datasets by task:
- Node classification: Planetoid (Cora/Citeseer/Pubmed), OGB (ogbn-arxiv, ogbn-products, ogbn-mag)
- Graph classification: TUDataset (MUTAG, ENZYMES, PROTEINS, IMDB-BINARY), OGB (ogbg-molhiv)
- Link prediction: OGB (ogbl-collab, ogbl-citation2)
- Molecular: QM7, QM9, MoleculeNet
- Point cloud/mesh: ShapeNet, ModelNet10/40, FAUST
Transforms
Transforms preprocess or augment graph data, analogous to torchvision transforms:
import torch_geometric.transforms as T
T.NormalizeFeatures()
T.ToUndirected()
T.AddSelfLoops()
T.KNNGraph(k=6)
T.RandomJitter(0.01)
T.Compose([...])
dataset = ShapeNet(root='./data', pre_transform=T.KNNGraph(k=6),
transform=T.RandomJitter(0.01))
Building GNN Models
Quick Start: Using Built-in Layers
The fastest way to build a GNN โ stack conv layers from torch_geometric.nn:
import torch
import torch.nn.functional as F
from torch_geometric.nn import GCNConv
class GCN(torch.nn.Module):
def __init__(self, in_channels, hidden_channels, out_channels):
super().__init__()
self.conv1 = GCNConv(in_channels, hidden_channels)
self.conv2 = GCNConv(hidden_channels, out_channels)
def forward(self, x, edge_index):
x = self.conv1(x, edge_index).relu()
x = F.dropout(x, p=0.5, training=self.training)
x = self.conv2(x, edge_index)
return x
Important: PyG conv layers do NOT include activation functions โ apply them yourself after each layer. This is by design for flexibility.
Choosing a Conv Layer
Pick based on your task and graph structure:
| Layer | Best for | Key idea |
|---|
GCNConv | Homogeneous, semi-supervised node classification | Spectral-inspired, degree-normalized aggregation |
GATConv / GATv2Conv | When neighbor importance varies | Attention-weighted messages |
SAGEConv | Large graphs, inductive settings | Sampling-friendly, learnable aggregation |
GINConv | Graph classification, maximizing expressiveness | As powerful as WL test |
TransformerConv | Rich edge features, complex interactions | Multi-head attention with edge features |
EdgeConv | Point clouds, dynamic graphs | MLP on edge features (x_i, x_j - x_i) |
RGCNConv | Heterogeneous with many relation types | Relation-specific weight matrices |
HGTConv | Heterogeneous graphs | Type-specific attention |
All conv layers accept (x, edge_index) at minimum. Many also accept edge_attr for edge features.
Lazy Initialization
Use -1 for input channels to let PyG infer dimensions automatically โ especially useful for heterogeneous models:
conv = SAGEConv((-1, -1), 64)
with torch.no_grad():
out = model(data.x, data.edge_index)
High-Level Model APIs
For common architectures, PyG provides ready-made model classes:
from torch_geometric.nn import GraphSAGE, GCN, GAT, GIN
model = GraphSAGE(
in_channels=dataset.num_features,
hidden_channels=64,
out_channels=dataset.num_classes,
num_layers=2,
)
Custom Layers via MessagePassing
To implement a novel GNN layer, subclass MessagePassing. The framework is:
propagate() orchestrates the message passing
message() defines what info flows along each edge (the phi function)
aggregate() combines messages at each node (sum/mean/max)
update() transforms the aggregated result (the gamma function)
from torch_geometric.nn import MessagePassing
from torch_geometric.utils import add_self_loops, degree
class MyConv(MessagePassing):
def __init__(self, in_channels, out_channels):
super().__init__(aggr='add')
self.lin = torch.nn.Linear(in_channels, out_channels)
def forward(self, x, edge_index):
x = self.lin(x)
return self.propagate(edge_index, x=x)
def message(self, x_j):
return x_j
The _i / _j convention: any tensor passed to propagate() can be auto-indexed by appending _i (target/central node) or _j (source/neighbor node) in the message() signature. So if you pass x=... to propagate, you can access x_i and x_j in message().
Read references/message_passing.md for the full GCN and EdgeConv implementation examples.
Task-Specific Patterns
Node Classification
model.train()
for epoch in range(200):
optimizer.zero_grad()
out = model(data.x, data.edge_index)
loss = F.cross_entropy(out[data.train_mask], data.y[data.train_mask])
loss.backward()
optimizer.step()
model.train(False)
pred = model(data.x, data.edge_index).argmax(dim=1)
acc = (pred[data.test_mask] == data.y[data.test_mask]).float().mean()
Graph Classification
Multiple graphs โ use DataLoader for mini-batching and global pooling to get graph-level representations:
from torch_geometric.loader import DataLoader
from torch_geometric.nn import GCNConv, global_mean_pool
loader = DataLoader(dataset, batch_size=32, shuffle=True)
class GraphClassifier(torch.nn.Module):
def __init__(self, in_ch, hidden_ch, out_ch):
super().__init__()
self.conv1 = GCNConv(in_ch, hidden_ch)
self.conv2 = GCNConv(hidden_ch, hidden_ch)
self.lin = torch.nn.Linear(hidden_ch, out_ch)
def forward(self, x, edge_index, batch):
x = self.conv1(x, edge_index).relu()
x = self.conv2(x, edge_index).relu()
x = global_mean_pool(x, batch)
return self.lin(x)
for data in loader:
out = model(data.x, data.edge_index, data.batch)
loss = F.cross_entropy(out, data.y)
PyG's DataLoader batches multiple graphs by creating block-diagonal adjacency matrices. The batch tensor maps each node to its graph index. Pooling ops (global_mean_pool, global_max_pool, global_add_pool) use this to aggregate per-graph.
Link Prediction
Split edges into train/val/test, use negative sampling:
from torch_geometric.transforms import RandomLinkSplit
transform = RandomLinkSplit(
num_val=0.1,
num_test=0.1,
is_undirected=True,
add_negative_train_samples=False,
)
train_data, val_data, test_data = transform(data)
z = model.encode(train_data.x, train_data.edge_index)
pos_score = (z[train_data.edge_label_index[0]] * z[train_data.edge_label_index[1]]).sum(dim=1)
Read references/link_prediction.md for the complete link prediction guide: GAE/VGAE autoencoders, full training loops, LinkNeighborLoader for large graphs, heterogeneous link prediction, and evaluation metrics.
Scaling to Large Graphs
For graphs that don't fit in GPU memory, use neighbor sampling via NeighborLoader:
from torch_geometric.loader import NeighborLoader
train_loader = NeighborLoader(
data,
num_neighbors=[15, 10],
batch_size=128,
input_nodes=data.train_mask,
shuffle=True,
)
for batch in train_loader:
batch = batch.to(device)
out = model(batch.x, batch.edge_index)
loss = F.cross_entropy(out[:batch.batch_size], batch.y[:batch.batch_size])
Key points about NeighborLoader:
num_neighbors list length should match GNN depth (number of message passing layers)
- Seed nodes are always the first
batch.batch_size nodes in the output
batch.n_id maps relabeled indices back to original node IDs
- Works for both
Data and HeteroData
- For link prediction, use
LinkNeighborLoader instead
- Sampling more than 2-3 hops is generally infeasible (exponential blowup)
Other scalability options: ClusterLoader (ClusterGCN), GraphSAINTSampler, ShaDowKHopSampler. For multi-GPU training, DDP, PyTorch Lightning integration, and torch.compile support, read references/scaling.md.
Heterogeneous Graphs
For graphs with multiple node and edge types (social networks, knowledge graphs, recommendation):
from torch_geometric.data import HeteroData
data = HeteroData()
data['user'].x = torch.randn(1000, 64)
data['movie'].x = torch.randn(500, 128)
data['user', 'rates', 'movie'].edge_index = torch.randint(0, 500, (2, 3000))
data['user', 'follows', 'user'].edge_index = torch.randint(0, 1000, (2, 5000))
data.x_dict
data.edge_index_dict
data.metadata()
Three ways to build heterogeneous GNNs
1. Auto-convert with to_hetero() โ write a homogeneous model, convert automatically:
from torch_geometric.nn import SAGEConv, to_hetero
class GNN(torch.nn.Module):
def __init__(self, hidden_channels, out_channels):
super().__init__()
self.conv1 = SAGEConv((-1, -1), hidden_channels)
self.conv2 = SAGEConv((-1, -1), out_channels)
def forward(self, x, edge_index):
x = self.conv1(x, edge_index).relu()
x = self.conv2(x, edge_index)
return x
model = GNN(64, dataset.num_classes)
model = to_hetero(model, data.metadata(), aggr='sum')
out = model(data.x_dict, data.edge_index_dict)
Use (-1, -1) for bipartite input channels (source, target may differ). Lazy init handles the rest.
2. HeteroConv wrapper โ different conv per edge type:
from torch_geometric.nn import HeteroConv, GCNConv, SAGEConv, GATConv
conv = HeteroConv({
('paper', 'cites', 'paper'): GCNConv(-1, 64),
('author', 'writes', 'paper'): SAGEConv((-1, -1), 64),
('paper', 'rev_writes', 'author'): GATConv((-1, -1), 64, add_self_loops=False),
}, aggr='sum')
3. Native heterogeneous operators like HGTConv:
from torch_geometric.nn import HGTConv
conv = HGTConv(hidden_channels, hidden_channels, data.metadata(), num_heads=4)
Important for heterogeneous graphs:
- Use
T.ToUndirected() to add reverse edge types for bidirectional message flow
- Disable
add_self_loops in bipartite conv layers (different source/dest types) โ use skip connections instead: conv(x, edge_index) + lin(x)
- For NeighborLoader on HeteroData, specify
input_nodes as ('node_type', mask) tuple
num_neighbors can be a dict keyed by edge type for fine-grained control
Read references/heterogeneous.md for complete examples including training loops and NeighborLoader usage with heterogeneous graphs.
Custom Datasets
For loading your own data into PyG:
- Quick (no class needed): Create
Data objects directly and pass a list to DataLoader
- Reusable (fits in RAM): Subclass
InMemoryDataset โ override raw_file_names, processed_file_names, download(), process()
- Large (disk-backed): Subclass
Dataset โ also override len() and get()
- From CSV: Load node/edge tables with pandas, build mappings to consecutive indices, assemble into
Data or HeteroData
- From NetworkX:
from_networkx(G) converts a NetworkX graph directly
- From scipy sparse:
from_scipy_sparse_matrix(adj) extracts edge_index
Read references/custom_datasets.md for complete examples with all patterns, CSV loading with encoders, and the MovieLens walkthrough.
Explainability
PyG provides torch_geometric.explain for interpreting GNN predictions:
from torch_geometric.explain import Explainer, GNNExplainer
explainer = Explainer(
model=model,
algorithm=GNNExplainer(epochs=200),
explanation_type='model',
node_mask_type='attributes',
edge_mask_type='object',
model_config=dict(
mode='multiclass_classification',
task_level='node',
return_type='log_probs',
),
)
explanation = explainer(data.x, data.edge_index, index=10)
explanation.visualize_graph()
explanation.visualize_feature_importance(top_k=10)
Available algorithms: GNNExplainer (optimization-based), PGExplainer (parametric, trained), CaptumExplainer (gradient-based via Captum), AttentionExplainer (attention weights). Works for both homogeneous and heterogeneous graphs.
Read references/explainability.md for all algorithms, heterogeneous explanations, evaluation metrics, and PGExplainer training.
Common Pitfalls
- edge_index shape: Must be
[2, num_edges], not [num_edges, 2]. Transpose if needed.
- Forgetting activations: Conv layers don't include ReLU/etc โ add them manually.
- Self-loops in hetero bipartite: Don't use
add_self_loops=True when source and dest node types differ. Use skip connections instead.
- NeighborLoader slicing: Only the first
batch.batch_size nodes are your seed nodes. Slice predictions and labels accordingly.
- Undirected graphs: If your graph is undirected, include edges in both directions in
edge_index, or use T.ToUndirected().
- Lazy init: Models with
-1 input channels need one forward pass with torch.no_grad() before training to initialize parameters.
- Global pooling for graph tasks: Use
global_mean_pool(x, batch) (not manual reshape) to aggregate node features to graph-level.
- num_neighbors alignment: Keep
len(num_neighbors) equal to the number of GNN layers. More hops than layers wastes compute; fewer means wasted model capacity.