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https://github.com/ZW-ZHANG/HOPE

This is a sample implementation of "Asymmetric Transitivity Preserving Graph Embedding"(KDD 2016).
https://github.com/ZW-ZHANG/HOPE

asymmetric-transtivity gsvd high-order-proximity network-embedding network-representation-learning

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This is a sample implementation of "Asymmetric Transitivity Preserving Graph Embedding"(KDD 2016).

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# HOPE
This is a sample implementation of "[Asymmetric Transitivity Preserving Graph Embedding](http://www.kdd.org/kdd2016/papers/files/rfp0184-ouA.pdf)"(KDD 2016).

### Requirements
```
MATLAB R2014a
```

### Usage
run `embed_main.m` with matlab

```
Input:
A: N*N adjacency matrix (sparse)

K: dimensionality of embedding space

beta: decaying constant, default is 0.5 / spectral radius

Output:
U: N*K left embedding matrix

V: N*K right embedding matrix

The high-order proximity (katz) matrix is approximated by U * V'

```

### Cite
If you find this code useful, please cite our paper:
```
@inproceedings{ou2016asymmetric,
title={Asymmetric transitivity preserving graph embedding},
author={Ou, Mingdong and Cui, Peng and Pei, Jian and Zhang, Ziwei and Zhu, Wenwu},
booktitle={Proceedings of the 22nd ACM SIGKDD international conference on Knowledge discovery and data mining},
pages={1105--1114},
year={2016},
organization={ACM}
}
```