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# In short
Short article considering HIN-based recommendation. The contribution consists in using not only meta-paths in the HIN, but also "enhanced" meta-paths which are related to more elaborate motifs (typically triangles)
# Summary
### 1. Introduction
- usually HIN-based RS rely on the number pf meta-paths from u to i, the more there are, the higher the recommendation
- Figure 1 summarizes situations that the authors want to distinguish: (u1,b4) and (u1,b3) are equivalent in terms of (P2) meta-paths, but not in terms of 3-nodes based "trust" patterns
- patterns here are considered using 3 nodes patterns (à la Milo et al) as represented in Figure 2, meta-paths based on these motifs are called Motif Enhanced Meta Path (MEMP)
- the concept is explored on 2 datasets: Epinions and CiaoDVD
### 2. Framework
- to compute similarity using MP, we build the adjacency matrix W_{Ai,Aj} where Ai and Aj are types, then we build the commuting matrix Cp which is a product of the adjacency matrices corresponding to path P
=> similarities are based on counting obtained by matrix products
##### MoHINRec framework
- they define adj matrix based on the same principle, but an edge is considered if it belongs to a pattern of interest (illustrated on Figure 3)
- equation 2: they merge different matrices (obtained with usual MPs or MEMPs) with an alpha-weighting
- then they test this with state-of-the-art HIN-based RS (actually, one they have designed in another work)
### 3. Experiments and analysis
- 2 datasets, described in Table 1:
- Epinions: ~22K users, 300K items, 900K ratings
- CiaoDVD: ~17K users, 16K items, 72K ratings
- evaluation metrics: MAE, RMSE (accuracy based)
- baselines for comparison: RegSVD (MF with regularization), SoReg (MF using social links for regularization), SocialMF (MF with social trust propagation), FMG (IN-based RS, state-of-the-art) - supposedly better than the others
- Settings: 8/1/1 train-validation-test, 5 experiment series with different splits
##### Performance comparison:
- Summary in Table 2: MoHINRec outperforms the others
- depending on the motif considered, we should vary the alpha coefficient to obtain the best possible performance (it is not clear for me how they tune alpha)
- performances vary depending on the dataset and morif considered
- FMG is still more efficient than othher benchmark methods
### 4. Related work
##### 4.1 HIN based recommendation
##### 4.2 motifs (very complex networks based: Milo et al., recent works by Leskovec et al.

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Nice paper along the work of [Dasgupta](https://papers-gamma.link/paper/155) and [Cohen-Addad et al.](https://arxiv.org/pdf/1704.02147.pdf).
A function to quantify the quality of a hierarchical graph clustering / dendrogram is proposed.
An interesting application to compress a dendrogram is proposed.
Section 8. If the input graph is a complete bipartite graph, then the quality function Q is maximum if the graph is partitioned in the two independent sets.

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