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https://github.com/gordicaleksa/pytorch-gat

My implementation of the original GAT paper (Veličković et al.). I've additionally included the playground.py file for visualizing the Cora dataset, GAT embeddings, an attention mechanism, and entropy histograms. I've supported both Cora (transductive) and PPI (inductive) examples!
https://github.com/gordicaleksa/pytorch-gat

attention attention-mechanism deep-learning gat gat-tutorial graph-attention-network graph-attention-networks jupyter python pytorch pytorch-gat pytorch-implementation self-attention

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My implementation of the original GAT paper (Veličković et al.). I've additionally included the playground.py file for visualizing the Cora dataset, GAT embeddings, an attention mechanism, and entropy histograms. I've supported both Cora (transductive) and PPI (inductive) examples!

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README

        

## GAT - Graph Attention Network (PyTorch) :computer: + graphs + :mega: = :heart:
This repo contains a PyTorch implementation of the original GAT paper (:link: [Veličković et al.](https://arxiv.org/abs/1710.10903)).

It's aimed at making it **easy to start playing and learning** about GAT and GNNs in general.

## Table of Contents
* [What are graph neural networks and GAT?](#what-are-gnns)
* [Visualizations (Cora and PPI, attention, t-SNE embeddings, entropy histograms)](#cora-visualized)
* [Setup](#setup)
* [Usage](#usage)
* [Training GAT](#training-gat)
* [Tips for understanding the code](#tip-for-understanding-the-code)
* [Profiling GAT](#profiling-gat)
* [Visualization tools](#visualization-tools)
* [Hardware requirements](#hardware-requirements)
* [Learning material](#learning-material)

## What are GNNs?

Graph neural networks are a family of neural networks that are dealing with signals defined over graphs!

Graphs can model many interesting natural phenomena, so you'll see them used everywhere from:
* Computational biology - predicting potent [antibiotics like halicin](https://www.nature.com/articles/d41586-020-00018-3)
* Computational pharmacology - predicting [drug side effects](https://arxiv.org/abs/1802.00543)
* Traffic forecasting - e.g. it's used in [Google Maps](https://deepmind.com/blog/article/traffic-prediction-with-advanced-graph-neural-networks)
* Recommendation systems (used at [Pintrest](https://medium.com/pinterest-engineering/pinsage-a-new-graph-convolutional-neural-network-for-web-scale-recommender-systems-88795a107f48), [Uber](https://eng.uber.com/uber-eats-graph-learning/), [Twitter](https://towardsdatascience.com/temporal-graph-networks-ab8f327f2efe), etc.)

and all the way to [particle physics](https://news.fnal.gov/2020/09/the-next-big-thing-the-use-of-graph-neural-networks-to-discover-particles/) at Large Hedron Collider [(LHC)](https://en.wikipedia.org/wiki/Large_Hadron_Collider), [fake news detection](https://arxiv.org/abs/1902.06673) and the list goes on and on!

GAT is a representative of spatial (convolutional) GNNs. Since CNNs had a tremendous success in the field of computer vision,
researchers decided to generalize it to graphs and so here we are! :nerd_face:

Here is a schematic of GAT's structure:



## Cora visualized

You can't just start talking about GNNs without mentioning the single most famous graph dataset - **Cora**.

Nodes in Cora represent research papers and the links are, you guessed it, citations between those papers.

I've added a utility for visualizing Cora and doing basic network analysis. Here is how Cora looks like:



Node size corresponds to its degree (i.e. the number of in/outgoing edges). Edge thickness roughly corresponds
to how "popular" or "connected" that edge is (**edge betweennesses** is the nerdy term [check out the code](https://github.com/gordicaleksa/pytorch-GAT/blob/main/utils/visualizations.py#L104).)

And here is a plot showing the degree distribution on Cora:



In and out degree plots are the same since we're dealing with an undirected graph.

On the bottom plot (degree distribution) you can see an interesting peak happening in the `[2, 4]` range.
This means that the majority of nodes have a small number of edges but there is 1 node that has 169 edges! (the big green node)

## Attention visualized

Once we have a fully-trained GAT model we can visualize the attention that certain "nodes" have learned.

Nodes use attention to decide how to aggregate their neighborhood, enough talk, let's see it:



This is one of Cora's nodes that has the most edges (citations). The colors represent the nodes of the same class.
You can clearly see 2 things from this plot:
* The graph is [homophilic](https://en.wikipedia.org/wiki/Homophily) meaning similar nodes (nodes with same class) tend to cluster together.
* Edge thickness on this chart is a function of attention, and since they are all of the same thickness, GAT basically learned to do something similar to [GCN!](https://www.youtube.com/watch?v=VyIOfIglrUM)

Similar rules hold for smaller neighborhoods. Also notice the self edges:




On the other hand PPI is learning much more interesting attention patterns:




On the left we can see that 6 neighbors are receiving a non-negligible amount of attention and on the right we can
see that all of the attention is **focused onto a single neighbor**.

Finally 2 more interesting patterns - a **strong self edge** on the left and on the right we can see that a single neighbor
is receiving a bulk of attention whereas the rest is **equally distributed** across the rest of the neighborhood:




**Important note:** all of the `PPI` visualizations are only possible for the first GAT layer.
For some reason the attention coefficients for the second and third layers are almost all 0s (even though [I achieved](#training-gat) the published results).

## Entropy histograms

Another way to understand that GAT isn't learning interesting attention patterns on Cora (i.e. that it's learning const attention)
is by treating the node neighborhood's attention weights as a probability distribution, calculating the entropy, and
accumulating the info across every node's neighborhood.

We'd love GAT's attention distributions to be skewed. You can see in orange how the histogram looks like for ideal uniform distributions,
and you can see in light blue the learned distributions - they are exactly the same!




I've plotted only a single attention head from the first layer (out of 8) because they're all the same!

On the other hand PPI is learning much more interesting attention patterns:


As expected, the uniform distribution entropy histogram lies to the right (orange) since uniform distributions have the highest entropy.

## Analyzing Cora's embedding space (t-SNE)

Ok, we've seen attention! What else is there to visualize? Well, let's visualize the learned embeddings from GAT's
last layer. The output of GAT is a tensor of shape = (2708, 7) where 2708 is the number of nodes in Cora and 7 is
the number of classes. Once we project those 7-dim vectors into 2D, using [t-SNE](https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding), we get this:



We can see that the nodes with the same label/class are roughly **clustered together** - with these representations it's easy
to train a simple classifier on top that will tell us which class the node belongs to.

*Note: I've tried UMAP as well but didn't get nicer results + it has a lot of dependencies if you want to use their plot util.*

## Setup

So we talked about what GNNs are, and what they can do for you (among other things).

Let's get this thing running! Follow the next steps:

1. `git clone https://github.com/gordicaleksa/pytorch-GAT`
2. Open Anaconda console and navigate into project directory `cd path_to_repo`
3. Run `conda env create` from project directory (this will create a brand new conda environment).
4. Run `activate pytorch-gat` (for running scripts from your console or setup the interpreter in your IDE)

That's it! It should work out-of-the-box executing environment.yml file which deals with dependencies.

-----

PyTorch pip package will come bundled with some version of CUDA/cuDNN with it,
but it is highly recommended that you install a system-wide CUDA beforehand, mostly because of the GPU drivers.
I also recommend using Miniconda installer as a way to get conda on your system.
Follow through points 1 and 2 of [this setup](https://github.com/Petlja/PSIML/blob/master/docs/MachineSetup.md)
and use the most up-to-date versions of Miniconda and CUDA/cuDNN for your system.

## Usage

#### Option 1: Jupyter Notebook

Just run `jupyter notebook` from you Anaconda console and it will open up a session in your default browser.

Open `The Annotated GAT.ipynb` and you're ready to play!

---

**Note:** if you get `DLL load failed while importing win32api: The specified module could not be found`

Just do `pip uninstall pywin32` and then either `pip install pywin32` or `conda install pywin32` [should fix it](https://github.com/jupyter/notebook/issues/4980)!

#### Option 2: Use your IDE of choice

You just need to link the Python environment you created in the [setup](#setup) section.

### Training GAT

FYI, my GAT implementation achieves the published results:
* On Cora I get the `82-83%` accuracy on test nodes
* On PPI I achieved the `0.973` micro-F1 score (and actually even higher)

---

Everything needed to train GAT on Cora is already setup. To run it (from console) just call:

`python training_script_cora.py`

You could also potentially:
* add the `--should_visualize` - to visualize your graph data
* add the `--should_test` - to evaluate GAT on the test portion of the data
* add the `--enable_tensorboard` - to start saving metrics (accuracy, loss)

The code is well commented so you can (hopefully) understand how the training itself works.

The script will:
* Dump checkpoint *.pth models into `models/checkpoints/`
* Dump the final *.pth model into `models/binaries/`
* Save metrics into `runs/`, just run `tensorboard --logdir=runs` from your Anaconda to visualize it
* Periodically write some training metadata to the console

Same goes for training on PPI, just run `python training_script_ppi.py`. PPI is much more GPU-hungry so if
you don't have a strong GPU with at least 8 GBs you'll need to add the `--force_cpu` flag to train GAT on CPU.
You can alternatively try reducing the batch size to 1 or making the model slimmer.

You can visualize the metrics during the training, by calling `tensorboard --logdir=runs` from your console
and pasting the `http://localhost:6006/` URL into your browser:




*Note: Cora's train split seems to be much harder than the validation and test splits looking at the loss and accuracy metrics.*

Having said that most of the fun actually lies in the `playground.py` script.

### Tip for understanding the code

I've added 3 GAT implementations - some are conceptually easier to understand some are more efficient.
The most interesting and hardest one to understand is implementation 3.
Implementation 1 and implementation 2 differ in subtle details but basically do the same thing.

**Advice on how to approach the code:**
* Understand the implementation #2 first
* Check out the differences it has compared to implementation #1
* Finally, tackle the implementation #3

### Profiling GAT

If you want to profile the 3 implementations just set the the `playground_fn` variable to `PLAYGROUND.PROFILE_GAT` in `playground.py`.

There are 2 params you may care about:
* `store_cache` - set to `True` if you wish to save the memory/time profiling results after you've run it
* `skip_if_profiling_info_cached` - set to `True` if you want to pull the profiling info from cache

The results will get stored in `data/` in `memory.dict` and `timing.dict` dictionaries (pickle).

*Note: implementation #3 is by far the most optimized one - you can see the details in the code.*

---

I've also added `profile_sparse_matrix_formats` if you want to get some familiarity with different matrix sparse formats
like `COO`, `CSR`, `CSC`, `LIL`, etc.

### Visualization tools

If you want to visualize t-SNE embeddings, attention or embeddings set the `playground_fn` variable to `PLAYGROUND.VISUALIZE_GAT` and
set the `visualization_type` to:
* `VisualizationType.ATTENTION` - if you wish to visualize attention across node neighborhoods
* `VisualizationType.EMBEDDING` - if you wish to visualize the embeddings (via t-SNE)
* `VisualizationType.ENTROPY` - if you wish to visualize the entropy histograms

And you'll get crazy visualizations like these ones (`VisualizationType.ATTENTION` option):




On the left you can see the node with the highest degree in the whole Cora dataset.

If you're wondering about why these look like a circle, it's because I've used the `layout_reingold_tilford_circular` layout
which is particularly well suited for tree like graphs (since we're visualizing a node and its neighbors this
subgraph is effectively a `m-ary` tree).

But you can also use different drawing algorithms like `kamada kawai` (on the right), etc.

Feel free to go through the code and play with plotting attention from different GAT layers, plotting different node
neighborhoods or attention heads. You can also easily change the number of layers in your GAT, although [shallow GNNs](https://towardsdatascience.com/do-we-need-deep-graph-neural-networks-be62d3ec5c59)
tend to perform the best on [small-world](https://en.wikipedia.org/wiki/Small-world_network), homophilic graph datasets.

---

If you want to visualize Cora/PPI just set the `playground_fn` to `PLAYGROUND.VISUALIZE_DATASET` and you'll get the results [from this README](#cora-visualized).

## Hardware requirements

HW requirements are highly dependent on the graph data you'll use. If you just want to play with `Cora`, you're good to go with a **2+ GBs** GPU.

It takes (on Cora citation network):
* ~10 seconds to train GAT on my RTX 2080 GPU
* 1.5 GBs of VRAM memory is *reserved* (PyTorch's caching overhead - far less is allocated for the actual tensors)
* The model itself has only 365 KBs!

Compare this to hardware needed even for the smallest of [transformers](https://github.com/gordicaleksa/pytorch-original-transformer#hardware-requirements)!

On the other hand the `PPI` dataset is much more GPU-hungry. You'll need a GPU with **8+ GBs** of VRAM, or you
can reduce the batch size to 1 and make the model "slimmer" and thus try to reduce the VRAM consumption.

### Future todos:

* Figure out why are the *attention coefficients equal to 0* (for the PPI dataset, second and third layer)
* Potentially add an implementation leveraging PyTorch's `sparse API`

If you have an idea of how to implement GAT using PyTorch's sparse API please feel free to submit a PR.
I personally had difficulties with their API, it's in beta, and it's questionable whether it's at all possible
to make an implementation as efficient as my implementation 3 using it.

Secondly, I'm still not sure why is GAT achieving reported results on PPI while there are some obvious numeric
problems in deeper layers as manifested by all attention coefficients being equal to 0.

## Learning material

If you're having difficulties understanding GAT I did an in-depth overview of the paper [in this video:](https://www.youtube.com/watch?v=uFLeKkXWq2c&ab_channel=TheAIEpiphany)


The GAT paper explained

I also made a [walk-through video](https://www.youtube.com/watch?v=364hpoRB4PQ) of this repo (focusing on the potential pain points),
and a blog for [getting started with Graph ML](https://gordicaleksa.medium.com/how-to-get-started-with-graph-machine-learning-afa53f6f963a) in general! :heart:

I have some more videos which could further help you understand GNNs:
* [My overview of the GCN paper](https://www.youtube.com/watch?v=VyIOfIglrUM)
* [My overview of the GraphSAGE paper](https://www.youtube.com/watch?v=vinQCnizqDA)
* [My overview of the PinSage paper](https://www.youtube.com/watch?v=ed0NJdqwEyg)
* [My overview of Temporal Graph Networks (TGN)](https://www.youtube.com/watch?v=0tw66aTfWaI)

## Acknowledgements

I found these repos useful (while developing this one):

* [official GAT](https://github.com/PetarV-/GAT) and [GCN](https://github.com/tkipf/gcn)
* [PyTorch Geometric](https://github.com/rusty1s/pytorch_geometric)
* [DeepInf](https://github.com/xptree/DeepInf) and [pyGAT](https://github.com/Diego999/pyGAT)

## Citation

If you find this code useful, please cite the following:

```
@misc{Gordić2020PyTorchGAT,
author = {Gordić, Aleksa},
title = {pytorch-GAT},
year = {2020},
publisher = {GitHub},
journal = {GitHub repository},
howpublished = {\url{https://github.com/gordicaleksa/pytorch-GAT}},
}
```

## Licence

[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](https://github.com/gordicaleksa/pytorch-GAT/blob/master/LICENCE)