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supplement tweaks: tab/fig nos & title
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dhimmel committed Dec 29, 2023
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8 changes: 5 additions & 3 deletions content/90.back-matter.md
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Supplementary information for "The probability of edge existence due to node degree: a baseline for network-based predictions".

### XSwap parameter settings for network types

| Network type | Degree preserved | Figure | `allow_antiparallel` | `allow_loops` |
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For simple networks, each node's degree is preserved.
For bipartite networks, each node's number of connections to the other part is preserved, and the partite sets (node class memberships) are preserved.
For directed networks, each nodes' in- and out-degrees are preserved, though parameter choices depend on the network being permuted.
Some directed networks can include antiparallel edges or loops while others do not. {#tbl:xswap}
Some directed networks can include antiparallel edges or loops while others do not. {#tbl:xswap tag="S1"}

### Performance of the XSwap algorithm

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![
**Higher density networks have lower asymptotic fractions of edges swapped and take more attempts to reach these values.**
The Barabási–Albert model produces scale-free random graphs, while Erdős–Rényi generates random graphs where all edges are equally likely.
](https://github.com/greenelab/xswap-analysis/raw/47f67f85b1a5df2714d564c274515f1fdeb882ba/img/6_xswap_percent_swapped_iterations/lines_continuous.png){#fig:swap-percent width="100%"}
](https://github.com/greenelab/xswap-analysis/raw/47f67f85b1a5df2714d564c274515f1fdeb882ba/img/6_xswap_percent_swapped_iterations/lines_continuous.png){#fig:swap-percent width="100%" tag="S1"}

<!--
fig:swap-percent is created by
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| Random walk with restart score | $c \bigg[ \bigg( \mathbb{I} - (1-c) \mathbf{A}\bigg)^{-1} \mathbf{y}_u \bigg]_v$ | [@doi:10.1145/1014052.1014135;@raw:laplacian] |
| Inference score | $\frac{|A(u) \cap D(v)|}{|A(u)|} + \frac{|D(u) \cap D(v)|}{|D(u)|}$ | [@doi:10.5821/dissertation-2117-95691] |

Table: Edge prediction features. {#tbl:edge-prediction}
Table: Edge prediction features. {#tbl:edge-prediction tag="S2"}

## References {.page_break_before}

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2 changes: 1 addition & 1 deletion content/metadata.yaml
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---
title: "Supplemental information"
title: "Supplementary Information"
keywords:
- networks
- heterogeneous
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