From 8f63cf9f41bbdb8d55cd4679872d2b4ae2129324 Mon Sep 17 00:00:00 2001 From: YurenHao0426 Date: Tue, 24 Feb 2026 08:40:49 +0000 Subject: EC-SBM community detection analysis: full pipeline and writeup Implement community detection on 3 EC-SBM networks (polblogs, topology, internet_as) using 5 methods (Leiden-Mod, Leiden-CPM at 0.1 and 0.01, Infomap, graph-tool SBM). Compute AMI/ARI/NMI accuracy, cluster statistics, and generate figures and LaTeX report. --- .gitignore | 33 + CLAUDE.md | 2 + assignment.html | 112 + ecsbm_paper.pdf | Bin 0 -> 873510 bytes readme.md | 24 + results/accuracy/accuracy_table.csv | 16 + .../accuracy/crossval_polblogs_leiden_cpm_01.agri | 1 + .../accuracy/crossval_polblogs_leiden_cpm_01.ami | 1 + .../accuracy/crossval_polblogs_leiden_cpm_01.ari | 1 + .../crossval_polblogs_leiden_cpm_01.f1_score | 1 + .../accuracy/crossval_polblogs_leiden_cpm_01.fnr | 1 + .../accuracy/crossval_polblogs_leiden_cpm_01.fpr | 1 + .../accuracy/crossval_polblogs_leiden_cpm_01.nmi | 1 + .../crossval_polblogs_leiden_cpm_01.node_coverage | 1 + .../crossval_polblogs_leiden_cpm_01.precision | 1 + .../crossval_polblogs_leiden_cpm_01.recall | 1 + results/figures/accuracy_table.tex | 28 + results/figures/cluster_sizes_internet_as.pdf | Bin 0 -> 23540 bytes results/figures/cluster_sizes_polblogs.pdf | Bin 0 -> 20211 bytes results/figures/cluster_sizes_topology.pdf | Bin 0 -> 23641 bytes results/figures/cluster_stats_table.tex | 32 + results/figures/edge_density_internet_as.pdf | Bin 0 -> 15865 bytes results/figures/edge_density_polblogs.pdf | Bin 0 -> 15811 bytes results/figures/edge_density_topology.pdf | Bin 0 -> 15836 bytes results/figures/heatmap_ami.pdf | Bin 0 -> 19081 bytes results/figures/heatmap_ari.pdf | Bin 0 -> 19420 bytes results/figures/heatmap_nmi.pdf | Bin 0 -> 19283 bytes results/figures/mixing_parameter.pdf | Bin 0 -> 16082 bytes results/figures/node_coverage.pdf | Bin 0 -> 16040 bytes results/internet_as/graphtool_sbm/com.tsv | 22963 ++++++++++++ results/internet_as/infomap/com.tsv | 22963 ++++++++++++ results/internet_as/leiden_cpm_001/com.tsv | 22963 ++++++++++++ results/internet_as/leiden_cpm_01/com.tsv | 22963 ++++++++++++ results/internet_as/leiden_mod/com.tsv | 22963 ++++++++++++ results/polblogs/graphtool_sbm/com.tsv | 1224 + results/polblogs/infomap/com.tsv | 1224 + results/polblogs/leiden_cpm_001/com.tsv | 1224 + results/polblogs/leiden_cpm_01/com.tsv | 1224 + results/polblogs/leiden_mod/com.tsv | 1224 + results/stats/cluster_stats_summary.csv | 19 + .../internet_as/graphtool_sbm/cluster_details.json | 389 + .../internet_as/graphtool_sbm/mixing_params.json | 1 + .../internet_as/ground_truth/cluster_details.json | 9767 +++++ .../internet_as/ground_truth/mixing_params.json | 1 + .../stats/internet_as/infomap/cluster_details.json | 9470 +++++ .../stats/internet_as/infomap/mixing_params.json | 1 + .../leiden_cpm_001/cluster_details.json | 10415 ++++++ .../internet_as/leiden_cpm_001/mixing_params.json | 1 + .../internet_as/leiden_cpm_01/cluster_details.json | 26057 +++++++++++++ .../internet_as/leiden_cpm_01/mixing_params.json | 1 + .../internet_as/leiden_mod/cluster_details.json | 317 + .../internet_as/leiden_mod/mixing_params.json | 1 + .../polblogs/graphtool_sbm/cluster_details.json | 236 + .../polblogs/graphtool_sbm/mixing_params.json | 1 + .../polblogs/ground_truth/cluster_details.json | 632 + .../stats/polblogs/ground_truth/mixing_params.json | 1 + .../stats/polblogs/infomap/cluster_details.json | 209 + results/stats/polblogs/infomap/mixing_params.json | 1 + .../polblogs/leiden_cpm_001/cluster_details.json | 407 + .../polblogs/leiden_cpm_001/mixing_params.json | 1 + .../polblogs/leiden_cpm_01/cluster_details.json | 1307 + .../polblogs/leiden_cpm_01/mixing_params.json | 1 + .../stats/polblogs/leiden_mod/cluster_details.json | 83 + .../stats/polblogs/leiden_mod/mixing_params.json | 1 + .../topology/graphtool_sbm/cluster_details.json | 839 + .../topology/graphtool_sbm/mixing_params.json | 1 + .../topology/ground_truth/cluster_details.json | 13655 +++++++ .../stats/topology/ground_truth/mixing_params.json | 1 + .../stats/topology/infomap/cluster_details.json | 11468 ++++++ results/stats/topology/infomap/mixing_params.json | 1 + .../topology/leiden_cpm_001/cluster_details.json | 16220 +++++++++ .../topology/leiden_cpm_001/mixing_params.json | 1 + .../topology/leiden_cpm_01/cluster_details.json | 36425 +++++++++++++++++++ .../topology/leiden_cpm_01/mixing_params.json | 1 + .../stats/topology/leiden_mod/cluster_details.json | 452 + .../stats/topology/leiden_mod/mixing_params.json | 1 + results/topology/graphtool_sbm/com.tsv | 34761 ++++++++++++++++++ results/topology/infomap/com.tsv | 34761 ++++++++++++++++++ results/topology/leiden_cpm_001/com.tsv | 34761 ++++++++++++++++++ results/topology/leiden_cpm_01/com.tsv | 34761 ++++++++++++++++++ results/topology/leiden_mod/com.tsv | 34761 ++++++++++++++++++ scripts/compute_accuracy.py | 92 + scripts/compute_stats.py | 165 + scripts/config.py | 32 + scripts/generate_plots.py | 324 + scripts/load_data.py | 74 + scripts/run_all.py | 67 + scripts/run_graphtool_sbm.py | 47 + scripts/run_infomap.py | 61 + scripts/run_leiden.py | 62 + writeup/main.pdf | Bin 0 -> 377971 bytes writeup/main.tex | 303 + writeup/references.bib | 102 + 93 files changed, 434711 insertions(+) create mode 100644 .gitignore create mode 100644 CLAUDE.md create mode 100644 assignment.html create mode 100644 ecsbm_paper.pdf create mode 100644 readme.md create mode 100644 results/accuracy/accuracy_table.csv create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.agri create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.ami create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.ari create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.f1_score create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.fnr create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.fpr create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.nmi create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.node_coverage create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.precision create mode 100644 results/accuracy/crossval_polblogs_leiden_cpm_01.recall create mode 100644 results/figures/accuracy_table.tex create mode 100644 results/figures/cluster_sizes_internet_as.pdf create mode 100644 results/figures/cluster_sizes_polblogs.pdf create mode 100644 results/figures/cluster_sizes_topology.pdf create mode 100644 results/figures/cluster_stats_table.tex create mode 100644 results/figures/edge_density_internet_as.pdf create mode 100644 results/figures/edge_density_polblogs.pdf create mode 100644 results/figures/edge_density_topology.pdf create mode 100644 results/figures/heatmap_ami.pdf create mode 100644 results/figures/heatmap_ari.pdf create mode 100644 results/figures/heatmap_nmi.pdf create mode 100644 results/figures/mixing_parameter.pdf create mode 100644 results/figures/node_coverage.pdf create mode 100644 results/internet_as/graphtool_sbm/com.tsv create mode 100644 results/internet_as/infomap/com.tsv create mode 100644 results/internet_as/leiden_cpm_001/com.tsv create mode 100644 results/internet_as/leiden_cpm_01/com.tsv create mode 100644 results/internet_as/leiden_mod/com.tsv create mode 100644 results/polblogs/graphtool_sbm/com.tsv create mode 100644 results/polblogs/infomap/com.tsv create mode 100644 results/polblogs/leiden_cpm_001/com.tsv create mode 100644 results/polblogs/leiden_cpm_01/com.tsv create mode 100644 results/polblogs/leiden_mod/com.tsv create mode 100644 results/stats/cluster_stats_summary.csv create mode 100644 results/stats/internet_as/graphtool_sbm/cluster_details.json create mode 100644 results/stats/internet_as/graphtool_sbm/mixing_params.json create mode 100644 results/stats/internet_as/ground_truth/cluster_details.json create mode 100644 results/stats/internet_as/ground_truth/mixing_params.json create mode 100644 results/stats/internet_as/infomap/cluster_details.json create mode 100644 results/stats/internet_as/infomap/mixing_params.json create mode 100644 results/stats/internet_as/leiden_cpm_001/cluster_details.json create mode 100644 results/stats/internet_as/leiden_cpm_001/mixing_params.json create mode 100644 results/stats/internet_as/leiden_cpm_01/cluster_details.json create mode 100644 results/stats/internet_as/leiden_cpm_01/mixing_params.json create mode 100644 results/stats/internet_as/leiden_mod/cluster_details.json create mode 100644 results/stats/internet_as/leiden_mod/mixing_params.json create mode 100644 results/stats/polblogs/graphtool_sbm/cluster_details.json create mode 100644 results/stats/polblogs/graphtool_sbm/mixing_params.json create mode 100644 results/stats/polblogs/ground_truth/cluster_details.json create mode 100644 results/stats/polblogs/ground_truth/mixing_params.json create mode 100644 results/stats/polblogs/infomap/cluster_details.json create mode 100644 results/stats/polblogs/infomap/mixing_params.json create mode 100644 results/stats/polblogs/leiden_cpm_001/cluster_details.json create mode 100644 results/stats/polblogs/leiden_cpm_001/mixing_params.json create mode 100644 results/stats/polblogs/leiden_cpm_01/cluster_details.json create mode 100644 results/stats/polblogs/leiden_cpm_01/mixing_params.json create mode 100644 results/stats/polblogs/leiden_mod/cluster_details.json create mode 100644 results/stats/polblogs/leiden_mod/mixing_params.json create mode 100644 results/stats/topology/graphtool_sbm/cluster_details.json create mode 100644 results/stats/topology/graphtool_sbm/mixing_params.json create mode 100644 results/stats/topology/ground_truth/cluster_details.json create mode 100644 results/stats/topology/ground_truth/mixing_params.json create mode 100644 results/stats/topology/infomap/cluster_details.json create mode 100644 results/stats/topology/infomap/mixing_params.json create mode 100644 results/stats/topology/leiden_cpm_001/cluster_details.json create mode 100644 results/stats/topology/leiden_cpm_001/mixing_params.json create mode 100644 results/stats/topology/leiden_cpm_01/cluster_details.json create mode 100644 results/stats/topology/leiden_cpm_01/mixing_params.json create mode 100644 results/stats/topology/leiden_mod/cluster_details.json create mode 100644 results/stats/topology/leiden_mod/mixing_params.json create mode 100644 results/topology/graphtool_sbm/com.tsv create mode 100644 results/topology/infomap/com.tsv create mode 100644 results/topology/leiden_cpm_001/com.tsv create mode 100644 results/topology/leiden_cpm_01/com.tsv create mode 100644 results/topology/leiden_mod/com.tsv create mode 100644 scripts/compute_accuracy.py create mode 100644 scripts/compute_stats.py create mode 100644 scripts/config.py create mode 100644 scripts/generate_plots.py create mode 100644 scripts/load_data.py create mode 100644 scripts/run_all.py create mode 100644 scripts/run_graphtool_sbm.py create mode 100644 scripts/run_infomap.py create mode 100644 scripts/run_leiden.py create mode 100644 writeup/main.pdf create mode 100644 writeup/main.tex create mode 100644 writeup/references.bib diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..02d9fe6 --- /dev/null +++ b/.gitignore @@ -0,0 +1,33 @@ +# Large data files +data/networks/ +data/networks.zip +data/polblogs/edge.tsv +data/polblogs/com_gt.tsv +data/topology/edge.tsv +data/topology/com_gt.tsv +data/internet_as/edge.tsv +data/internet_as/com_gt.tsv + +# Network evaluation repo (external) +network_evaluation/ + +# Python +__pycache__/ +*.pyc + +# LaTeX build artifacts +writeup/*.aux +writeup/*.bbl +writeup/*.blg +writeup/*.log +writeup/*.out +writeup/*.toc +writeup/*.fls +writeup/*.fdb_latexmk +writeup/*.synctex.gz + +# OS +.DS_Store + +# Claude internal +.claude/ diff --git a/CLAUDE.md b/CLAUDE.md new file mode 100644 index 0000000..4763a31 --- /dev/null +++ b/CLAUDE.md @@ -0,0 +1,2 @@ +This assignment will involve data analysis. You will apply community detection methods to EC-SBM synthetic networks, which come with ground truth communities; this will allow you to evaluate accuracy. You will report empirical statistics about the communities you obtain (e.g., distribution of community sizes and edge densities, mixing parameters, percentage of nodes not in any cluster of size at least two). You will also report accuracy using at a minimum AMI, ARI, and NMI. You will also write up your study with details sufficient to be reproducible and with commentary about what you learned. See this page for details. +https://tandy.cs.illinois.edu/598-data-analysis-hw.html diff --git a/assignment.html b/assignment.html new file mode 100644 index 0000000..88f2c2c --- /dev/null +++ b/assignment.html @@ -0,0 +1,112 @@ +This homework involves data analysis (running community detection +methods +on synthetic networks) and writing a report about what +you did and what you observed. +You should also relate the results you find to other papers +you have read or heard about (e.g., in class lectures): are they +similarto what you saw or are they different? +What did you learn? +What are you still trying to figure out? + +Here are some basic instructions. +Perform community detection using at least two methods +on at least two EC-SBM networks based on SBM+WCC input parameters. +One of the networks should be relatively small (under 10,000 nodes) +and the others should be at least 30,000 nodes. +The-Anh suggests these: + + +Some details are given below: + + +

+General recommendations. +

+

Writing advice +

+ +

+Grading +

+Note: to receive full points, you must do at least the minimum +required (the two community detection methods as indicated above, +analyses of at least two EC-SBM networks based on SBM+WCC parameters, +and reporting AMI, ARI, and NMI accuracy). +Anything beyond this can early extra credit. + + diff --git a/ecsbm_paper.pdf b/ecsbm_paper.pdf new file mode 100644 index 0000000..6d7332a Binary files /dev/null and b/ecsbm_paper.pdf differ diff --git a/readme.md b/readme.md new file mode 100644 index 0000000..3df5047 --- /dev/null +++ b/readme.md @@ -0,0 +1,24 @@ +The data is structured as follows. There will be directories in the format of +``` +networks//// +``` +where: +- ``: The input clustering of the input data + - `leiden-cpm-0.1`: Leiden clustering optimizing the CPM with resolution 0.1, i.e., Leiden-CPM(0.1) + - `leiden-cpm-0.01`: Leiden clustering optimizing the CPM with resolution 0.01, i.e., Leiden-CPM(0.01) + - `leiden-cpm-0.001`: Leiden clustering optimizing the CPM with resolution 0.001, i.e., Leiden-CPM(0.001) + - `leiden-mod`: Leiden clustering optimizing modularity, i.e., Leiden-Mod + - `sbm+cc`: flat SBM computed using graph-tool with the lowest description length, followed by CC, i.e., SBM+CC + - `leiden-cpm-0.1+cm`: Leiden clustering optimizing the CPM with resolution 0.1, followed by CM, i.e., Leiden-CPM(0.1)+CM + - `leiden-cpm-0.01+cm`: Leiden clustering optimizing the CPM with resolution 0.01, followed by CM, i.e., Leiden-CPM(0.01)+CM + - `leiden-cpm-0.001+cm`: Leiden clustering optimizing the CPM with resolution 0.001, followed by CM, i.e., Leiden-CPM(0.001)+CM + - `leiden-mod+cm`: Leiden clustering optimizing modularity, followed by CM, i.e., Leiden-Mod+CM + - `sbm+wcc`: flat SBM computed using graph-tool with the lowest description length, followed by WCC, i.e., SBM+WCC +- ``: The identifier of the network + - e.g., `dnc`, `academia_edu`, `hyves`, etc. +- ``: The identifier of the run (only 1 per clustered network in this dataset) + - `0`: the only run in this dataset + +Each directory contains the following files: +- `edge.tsv`: The edge list of the network with two tab-separated values (`node1`, `node2`) indicating the two nodes connected by the edge. The network is undirected, so each edge is expected to appear only once. +- `com.tsv`: The community assignment of the nodes in the network, with two tab-separated values (`node`, `community`) indicating the community to which each node belongs. diff --git a/results/accuracy/accuracy_table.csv b/results/accuracy/accuracy_table.csv new file mode 100644 index 0000000..3132d87 --- /dev/null +++ b/results/accuracy/accuracy_table.csv @@ -0,0 +1,16 @@ +network,method,ami,ari,nmi +polblogs,leiden_mod,0.12257179361135964,0.023739028357256494,0.25749109217451305 +polblogs,leiden_cpm_01,0.4266592239259631,0.1622282420844798,0.8151453622330147 +polblogs,leiden_cpm_001,0.3151452996757661,0.03628970561377461,0.686920107867078 +polblogs,infomap,0.1560959649548314,0.028955356245153226,0.3463546369388714 +polblogs,graphtool_sbm,0.24264334611823632,0.07707277974355521,0.5431876029742495 +topology,leiden_mod,0.08549529604597869,0.0031353256647581253,0.41461361448464074 +topology,leiden_cpm_01,0.24008518622470518,0.05899284745548014,0.9365926615351119 +topology,leiden_cpm_001,0.23391241702334511,0.06768346332500687,0.8724394333124352 +topology,infomap,0.1771708393638154,0.03378379003291389,0.728403539101954 +topology,graphtool_sbm,0.09489007004047487,0.00342648330098627,0.4740926909079418 +internet_as,leiden_mod,0.09458203286955953,0.006488938562979466,0.4773416321914817 +internet_as,leiden_cpm_01,0.23351973900287132,0.08473023493677742,0.934971633543848 +internet_as,leiden_cpm_001,0.187329969734857,0.09737326417679827,0.8353856560792189 +internet_as,infomap,0.16039828544267265,0.043779340117329896,0.7523386258160104 +internet_as,graphtool_sbm,0.07054653615550648,0.002367051666302951,0.4195763223680453 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.agri b/results/accuracy/crossval_polblogs_leiden_cpm_01.agri new file mode 100644 index 0000000..87ee519 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.agri @@ -0,0 +1 @@ +0.10107158535633845 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.ami b/results/accuracy/crossval_polblogs_leiden_cpm_01.ami new file mode 100644 index 0000000..075e316 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.ami @@ -0,0 +1 @@ +0.42665922392617933 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.ari b/results/accuracy/crossval_polblogs_leiden_cpm_01.ari new file mode 100644 index 0000000..aeaf486 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.ari @@ -0,0 +1 @@ +0.1622282420844798 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.f1_score b/results/accuracy/crossval_polblogs_leiden_cpm_01.f1_score new file mode 100644 index 0000000..f5b19e9 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.f1_score @@ -0,0 +1 @@ +0.17682148411206278 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.fnr b/results/accuracy/crossval_polblogs_leiden_cpm_01.fnr new file mode 100644 index 0000000..82b4d88 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.fnr @@ -0,0 +1 @@ +0.5242912451604845 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.fpr b/results/accuracy/crossval_polblogs_leiden_cpm_01.fpr new file mode 100644 index 0000000..b84f3dc --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.fpr @@ -0,0 +1 @@ +0.042225940586304085 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.nmi b/results/accuracy/crossval_polblogs_leiden_cpm_01.nmi new file mode 100644 index 0000000..017821f --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.nmi @@ -0,0 +1 @@ +0.8151453622330147 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.node_coverage b/results/accuracy/crossval_polblogs_leiden_cpm_01.node_coverage new file mode 100644 index 0000000..904a1a3 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.node_coverage @@ -0,0 +1 @@ +0.8112745098039216 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.precision b/results/accuracy/crossval_polblogs_leiden_cpm_01.precision new file mode 100644 index 0000000..82b4634 --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.precision @@ -0,0 +1 @@ +0.10859276998517504 diff --git a/results/accuracy/crossval_polblogs_leiden_cpm_01.recall b/results/accuracy/crossval_polblogs_leiden_cpm_01.recall new file mode 100644 index 0000000..7eb853b --- /dev/null +++ b/results/accuracy/crossval_polblogs_leiden_cpm_01.recall @@ -0,0 +1 @@ +0.4757087548395154 diff --git a/results/figures/accuracy_table.tex b/results/figures/accuracy_table.tex new file mode 100644 index 0000000..1f218cc --- /dev/null +++ b/results/figures/accuracy_table.tex @@ -0,0 +1,28 @@ +\begin{table}[htbp] +\centering +\caption{Community detection accuracy (AMI, ARI, NMI) on EC-SBM networks.} +\label{tab:accuracy} +\begin{tabular}{llrrr} +\toprule +Network & Method & AMI & ARI & NMI \\ +\midrule +polblogs & Leiden-Mod & 0.1226 & 0.0237 & 0.2575 \\ + & Leiden-CPM(0.1) & 0.4267 & 0.1622 & 0.8151 \\ + & Leiden-CPM(0.01) & 0.3151 & 0.0363 & 0.6869 \\ + & Infomap & 0.1561 & 0.0290 & 0.3464 \\ + & graph-tool SBM & 0.2426 & 0.0771 & 0.5432 \\ +\midrule +topology & Leiden-Mod & 0.0855 & 0.0031 & 0.4146 \\ + & Leiden-CPM(0.1) & 0.2401 & 0.0590 & 0.9366 \\ + & Leiden-CPM(0.01) & 0.2339 & 0.0677 & 0.8724 \\ + & Infomap & 0.1772 & 0.0338 & 0.7284 \\ + & graph-tool SBM & 0.0949 & 0.0034 & 0.4741 \\ +\midrule +internet_as & Leiden-Mod & 0.0946 & 0.0065 & 0.4773 \\ + & Leiden-CPM(0.1) & 0.2335 & 0.0847 & 0.9350 \\ + & Leiden-CPM(0.01) & 0.1873 & 0.0974 & 0.8354 \\ + & Infomap & 0.1604 & 0.0438 & 0.7523 \\ + & graph-tool SBM & 0.0705 & 0.0024 & 0.4196 \\ +\bottomrule +\end{tabular} +\end{table} \ No newline at end of file diff --git a/results/figures/cluster_sizes_internet_as.pdf b/results/figures/cluster_sizes_internet_as.pdf new file mode 100644 index 0000000..4065559 Binary files /dev/null and b/results/figures/cluster_sizes_internet_as.pdf differ diff --git a/results/figures/cluster_sizes_polblogs.pdf b/results/figures/cluster_sizes_polblogs.pdf new file mode 100644 index 0000000..74a80ad Binary files /dev/null and b/results/figures/cluster_sizes_polblogs.pdf differ diff --git a/results/figures/cluster_sizes_topology.pdf b/results/figures/cluster_sizes_topology.pdf new file mode 100644 index 0000000..1936f62 Binary files /dev/null and b/results/figures/cluster_sizes_topology.pdf differ diff --git a/results/figures/cluster_stats_table.tex b/results/figures/cluster_stats_table.tex new file mode 100644 index 0000000..3955e78 --- /dev/null +++ b/results/figures/cluster_stats_table.tex @@ -0,0 +1,32 @@ +\begin{table}[htbp] +\centering +\caption{Cluster statistics summary for each network and method.} +\label{tab:cluster_stats} +\footnotesize +\begin{tabular}{llrrrrrr} +\toprule +Network & Method & \#Clusters & Node Cov. & Mean Size & Mean Density & Mean Cond. & Mean Mix. \\ +\midrule +polblogs & ground_truth & 70 & 0.483 & 8.4 & 0.767 & 0.783 & 0.905 \\ + & Leiden-Mod & 9 & 1.000 & 136.0 & 0.648 & 0.388 & 0.098 \\ + & Leiden-CPM(0.1) & 145 & 0.811 & 6.8 & 0.586 & 0.801 & 0.653 \\ + & Leiden-CPM(0.01) & 45 & 0.700 & 19.0 & 0.795 & 0.644 & 0.388 \\ + & Infomap & 23 & 1.000 & 53.2 & 0.571 & 0.522 & 0.131 \\ + & graph-tool SBM & 26 & 1.000 & 47.1 & 0.270 & 0.929 & 0.891 \\ +\midrule +topology & ground_truth & 1517 & 0.219 & 5.0 & 0.825 & 0.620 & 0.881 \\ + & Leiden-Mod & 50 & 1.000 & 695.2 & 0.231 & 0.256 & 0.101 \\ + & Leiden-CPM(0.1) & 4047 & 0.576 & 4.9 & 0.572 & 0.594 & 0.676 \\ + & Leiden-CPM(0.01) & 1802 & 0.733 & 14.1 & 0.451 & 0.495 & 0.518 \\ + & Infomap & 1274 & 1.000 & 27.3 & 0.352 & 0.458 & 0.261 \\ + & graph-tool SBM & 93 & 1.000 & 373.8 & 0.225 & 0.760 & 0.679 \\ +\midrule +internet_as & ground_truth & 1085 & 0.211 & 4.5 & 0.841 & 0.594 & 0.881 \\ + & Leiden-Mod & 35 & 1.000 & 656.1 & 0.040 & 0.224 & 0.131 \\ + & Leiden-CPM(0.1) & 2895 & 0.613 & 4.9 & 0.583 & 0.549 & 0.632 \\ + & Leiden-CPM(0.01) & 1157 & 0.879 & 17.5 & 0.328 & 0.447 & 0.392 \\ + & Infomap & 1052 & 1.000 & 21.8 & 0.320 & 0.427 & 0.262 \\ + & graph-tool SBM & 43 & 1.000 & 534.0 & 0.160 & 0.687 & 0.693 \\ +\bottomrule +\end{tabular} +\end{table} \ No newline at end of file diff --git a/results/figures/edge_density_internet_as.pdf b/results/figures/edge_density_internet_as.pdf new file mode 100644 index 0000000..fe6e985 Binary files /dev/null and b/results/figures/edge_density_internet_as.pdf differ diff --git a/results/figures/edge_density_polblogs.pdf b/results/figures/edge_density_polblogs.pdf new file mode 100644 index 0000000..e4d502e Binary files /dev/null and b/results/figures/edge_density_polblogs.pdf differ diff --git a/results/figures/edge_density_topology.pdf b/results/figures/edge_density_topology.pdf new file mode 100644 index 0000000..c4458e5 Binary files /dev/null and b/results/figures/edge_density_topology.pdf differ diff --git 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pairs.""" + +import argparse +import sys +import os +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +import numpy as np +import pandas as pd +from sklearn.metrics import adjusted_mutual_info_score, adjusted_rand_score, normalized_mutual_info_score + +from config import NETWORKS, METHODS, RESULTS_DIR +from load_data import load_edge_list, load_communities + + +def align_labels(gt_com, est_com, edge_path): + """Align ground truth and estimated labels over the full node set from edges. + Nodes missing from a clustering get unique singleton community IDs.""" + edge_df = load_edge_list(edge_path) + all_nodes = sorted(set( + pd.unique(edge_df[["src", "tgt"]].values.ravel("K")) + )) + + gt_labels = [] + est_labels = [] + # For nodes not in GT or EST, assign unique singleton IDs + gt_next = max((int(v) for v in gt_com.values() if v.lstrip('-').isdigit()), default=0) + 1 + est_next = max((int(v) for v in est_com.values() if v.lstrip('-').isdigit()), default=0) + 1 + + for node in all_nodes: + if node in gt_com: + gt_labels.append(gt_com[node]) + else: + gt_labels.append(f"gt_singleton_{gt_next}") + gt_next += 1 + + if node in est_com: + est_labels.append(est_com[node]) + else: + est_labels.append(f"est_singleton_{est_next}") + est_next += 1 + + return gt_labels, est_labels + + +def compute_accuracy(network_name, method_name): + """Compute AMI, ARI, NMI for a single (network, method) pair.""" + net = NETWORKS[network_name] + gt_com = load_communities(net["com_gt_tsv"]) + + est_path = os.path.join(RESULTS_DIR, network_name, method_name, "com.tsv") + if not os.path.exists(est_path): + print(f" WARNING: {est_path} not found, skipping") + return None + + est_com = load_communities(est_path) + gt_labels, est_labels = align_labels(gt_com, est_com, net["edge_tsv"]) + + ami = adjusted_mutual_info_score(gt_labels, est_labels, average_method="arithmetic") + ari = adjusted_rand_score(gt_labels, est_labels) + nmi = normalized_mutual_info_score(gt_labels, est_labels, average_method="arithmetic") + + return {"ami": ami, "ari": ari, "nmi": nmi} + + +def compute_all_accuracy(): + """Compute accuracy for all (network, method) pairs and save CSV.""" + rows = [] + for net_name in NETWORKS: + for method in METHODS: + m_name = method["name"] + print(f"Computing accuracy: {net_name} / {m_name}") + result = compute_accuracy(net_name, m_name) + if result is not None: + rows.append({ + "network": net_name, + "method": m_name, + **result, + }) + + df = pd.DataFrame(rows) + out_dir = os.path.join(RESULTS_DIR, "accuracy") + os.makedirs(out_dir, exist_ok=True) + out_path = os.path.join(out_dir, "accuracy_table.csv") + df.to_csv(out_path, index=False) + print(f"\nAccuracy table saved to {out_path}") + print(df.to_string(index=False)) + return df + + +if __name__ == "__main__": + compute_all_accuracy() diff --git a/scripts/compute_stats.py b/scripts/compute_stats.py new file mode 100644 index 0000000..2e88252 --- /dev/null +++ b/scripts/compute_stats.py @@ -0,0 +1,165 @@ +"""Compute cluster statistics for all (network, method) pairs + ground truth.""" + +import argparse +import sys +import os +import json +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +import numpy as np +import pandas as pd + +from config import NETWORKS, METHODS, RESULTS_DIR +from load_data import load_edge_list, load_communities + + +def build_neighbors(edge_df): + """Build adjacency dict from edge DataFrame.""" + neighbors = {} + for _, row in edge_df.iterrows(): + s, t = row["src"], row["tgt"] + neighbors.setdefault(s, set()).add(t) + neighbors.setdefault(t, set()).add(s) + return neighbors + + +def compute_cluster_stats(network_name, method_name, com_path): + """Compute statistics for a given community assignment.""" + net = NETWORKS[network_name] + edge_df = load_edge_list(net["edge_tsv"]) + neighbors = build_neighbors(edge_df) + + all_nodes = set(neighbors.keys()) + node2com = load_communities(com_path) + + # Build com2nodes + com2nodes = {} + for node, com in node2com.items(): + com2nodes.setdefault(com, set()).add(node) + + # Separate singletons vs non-singletons + non_singleton_coms = {c: nodes for c, nodes in com2nodes.items() if len(nodes) > 1} + singleton_coms = {c: nodes for c, nodes in com2nodes.items() if len(nodes) == 1} + + # Nodes in non-singleton clusters + nodes_in_clusters = set() + for nodes in non_singleton_coms.values(): + nodes_in_clusters.update(nodes) + + node_coverage = len(nodes_in_clusters) / len(all_nodes) if all_nodes else 0.0 + + # Per-cluster stats + cluster_details = [] + for com_id, nodes in sorted(non_singleton_coms.items()): + n = len(nodes) + # Internal edges + m_internal = 0 + c_boundary = 0 + for node in nodes: + for nbr in neighbors.get(node, set()): + if nbr in nodes: + m_internal += 1 + else: + c_boundary += 1 + m_internal //= 2 # each edge counted twice + + edge_density = 2 * m_internal / (n * (n - 1)) if n > 1 else 0.0 + degree_density = m_internal / n if n > 0 else 0.0 + conductance = c_boundary / (2 * m_internal + c_boundary) if (2 * m_internal + c_boundary) > 0 else 0.0 + + cluster_details.append({ + "com_id": com_id, + "n": n, + "m_internal": m_internal, + "c_boundary": c_boundary, + "edge_density": edge_density, + "degree_density": degree_density, + "conductance": conductance, + }) + + # Per-node mixing parameter + mixing_params = [] + for node in all_nodes: + if node not in node2com: + mixing_params.append(1.0) # outlier + continue + my_com = node2com[node] + nbrs = neighbors.get(node, set()) + if len(nbrs) == 0: + mixing_params.append(0.0) + continue + n_in = sum(1 for nbr in nbrs if node2com.get(nbr) == my_com) + mixing_params.append(1.0 - n_in / len(nbrs)) + + summary = { + "network": network_name, + "method": method_name, + "n_nodes": len(all_nodes), + "n_clusters_total": len(com2nodes), + "n_clusters_non_singleton": len(non_singleton_coms), + "n_singleton_clusters": len(singleton_coms), + "node_coverage": node_coverage, + "mean_mixing_param": np.mean(mixing_params), + "median_mixing_param": np.median(mixing_params), + "mean_cluster_size": np.mean([d["n"] for d in cluster_details]) if cluster_details else 0, + "median_cluster_size": np.median([d["n"] for d in cluster_details]) if cluster_details else 0, + "mean_edge_density": np.mean([d["edge_density"] for d in cluster_details]) if cluster_details else 0, + "median_edge_density": np.median([d["edge_density"] for d in cluster_details]) if cluster_details else 0, + "mean_conductance": np.mean([d["conductance"] for d in cluster_details]) if cluster_details else 0, + "mean_degree_density": np.mean([d["degree_density"] for d in cluster_details]) if cluster_details else 0, + } + + return summary, cluster_details, mixing_params + + +def compute_all_stats(): + """Compute stats for all methods on all networks plus ground truth.""" + all_summaries = [] + stats_dir = os.path.join(RESULTS_DIR, "stats") + os.makedirs(stats_dir, exist_ok=True) + + for net_name in NETWORKS: + net = NETWORKS[net_name] + + # Ground truth + print(f"Computing stats: {net_name} / ground_truth") + summary, details, mixing = compute_cluster_stats( + net_name, "ground_truth", net["com_gt_tsv"] + ) + all_summaries.append(summary) + _save_details(stats_dir, net_name, "ground_truth", details, mixing) + + # Each method + for method in METHODS: + m_name = method["name"] + est_path = os.path.join(RESULTS_DIR, net_name, m_name, "com.tsv") + if not os.path.exists(est_path): + print(f" WARNING: {est_path} not found, skipping") + continue + print(f"Computing stats: {net_name} / {m_name}") + summary, details, mixing = compute_cluster_stats( + net_name, m_name, est_path + ) + all_summaries.append(summary) + _save_details(stats_dir, net_name, m_name, details, mixing) + + df = pd.DataFrame(all_summaries) + out_path = os.path.join(stats_dir, "cluster_stats_summary.csv") + df.to_csv(out_path, index=False) + print(f"\nCluster stats saved to {out_path}") + print(df.to_string(index=False)) + return df + + +def _save_details(stats_dir, net_name, method_name, details, mixing): + """Save per-cluster details and mixing params as JSON.""" + out_dir = os.path.join(stats_dir, net_name, method_name) + os.makedirs(out_dir, exist_ok=True) + with open(os.path.join(out_dir, "cluster_details.json"), "w") as f: + json.dump(details, f, indent=2) + with open(os.path.join(out_dir, "mixing_params.json"), "w") as f: + json.dump(mixing, f) + + +if __name__ == "__main__": + compute_all_stats() diff --git a/scripts/config.py b/scripts/config.py new file mode 100644 index 0000000..b23b090 --- /dev/null +++ b/scripts/config.py @@ -0,0 +1,32 @@ +"""Central configuration for EC-SBM community detection analysis.""" + +import os + +BASE_DIR = os.path.dirname(os.path.dirname(os.path.abspath(__file__))) +DATA_DIR = os.path.join(BASE_DIR, "data") +RESULTS_DIR = os.path.join(BASE_DIR, "results") + +NETWORKS = { + "polblogs": { + "edge_tsv": os.path.join(DATA_DIR, "polblogs", "edge.tsv"), + "com_gt_tsv": os.path.join(DATA_DIR, "polblogs", "com_gt.tsv"), + }, + "topology": { + "edge_tsv": os.path.join(DATA_DIR, "topology", "edge.tsv"), + "com_gt_tsv": os.path.join(DATA_DIR, "topology", "com_gt.tsv"), + }, + "internet_as": { + "edge_tsv": os.path.join(DATA_DIR, "internet_as", "edge.tsv"), + "com_gt_tsv": os.path.join(DATA_DIR, "internet_as", "com_gt.tsv"), + }, +} + +METHODS = [ + {"name": "leiden_mod", "type": "leiden", "quality": "modularity"}, + {"name": "leiden_cpm_01", "type": "leiden", "quality": "cpm", "resolution": 0.1}, + {"name": "leiden_cpm_001", "type": "leiden", "quality": "cpm", "resolution": 0.01}, + {"name": "infomap", "type": "infomap"}, + {"name": "graphtool_sbm", "type": "graphtool_sbm"}, +] + +SEED = 42 diff --git a/scripts/generate_plots.py b/scripts/generate_plots.py new file mode 100644 index 0000000..be5db9f --- /dev/null +++ b/scripts/generate_plots.py @@ -0,0 +1,324 @@ +"""Generate all figures and LaTeX tables for the EC-SBM analysis.""" + +import sys +import os +import json +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +import numpy as np +import pandas as pd +import matplotlib +matplotlib.use("Agg") +import matplotlib.pyplot as plt +from matplotlib.colors import Normalize +from matplotlib.cm import ScalarMappable + +from config import NETWORKS, METHODS, RESULTS_DIR + +FIGURES_DIR = os.path.join(RESULTS_DIR, "figures") +os.makedirs(FIGURES_DIR, exist_ok=True) + +METHOD_NAMES = [m["name"] for m in METHODS] +METHOD_LABELS = { + "leiden_mod": "Leiden-Mod", + "leiden_cpm_01": "Leiden-CPM(0.1)", + "leiden_cpm_001": "Leiden-CPM(0.01)", + "infomap": "Infomap", + "graphtool_sbm": "graph-tool SBM", +} +NET_LABELS = { + "polblogs": "polblogs", + "topology": "topology", + "internet_as": "internet\\_as", +} + + +def plot_accuracy_heatmap(): + """Create a heatmap of accuracy metrics (network x method).""" + acc_path = os.path.join(RESULTS_DIR, "accuracy", "accuracy_table.csv") + if not os.path.exists(acc_path): + print("No accuracy table found, skipping heatmap") + return + df = pd.read_csv(acc_path) + + for metric in ["ami", "ari", "nmi"]: + fig, ax = plt.subplots(figsize=(8, 3.5)) + pivot = df.pivot(index="network", columns="method", values=metric) + pivot = pivot.reindex(index=list(NETWORKS.keys()), columns=METHOD_NAMES) + + im = ax.imshow(pivot.values, cmap="YlOrRd", aspect="auto", + vmin=0, vmax=1) + ax.set_xticks(range(len(METHOD_NAMES))) + ax.set_xticklabels([METHOD_LABELS.get(m, m) for m in METHOD_NAMES], + rotation=30, ha="right", fontsize=9) + ax.set_yticks(range(len(NETWORKS))) + ax.set_yticklabels(list(NETWORKS.keys()), fontsize=10) + + for i in range(pivot.shape[0]): + for j in range(pivot.shape[1]): + val = pivot.values[i, j] + if not np.isnan(val): + ax.text(j, i, f"{val:.3f}", ha="center", va="center", + fontsize=9, color="black" if val < 0.6 else "white") + + plt.colorbar(im, ax=ax, fraction=0.046, pad=0.04) + ax.set_title(f"{metric.upper()} Accuracy", fontsize=12) + plt.tight_layout() + plt.savefig(os.path.join(FIGURES_DIR, f"heatmap_{metric}.pdf"), + bbox_inches="tight") + plt.close() + print(f" Saved heatmap_{metric}.pdf") + + +def plot_cluster_size_distributions(): + """Histogram of cluster sizes per network/method.""" + stats_dir = os.path.join(RESULTS_DIR, "stats") + + for net_name in NETWORKS: + all_labels = ["ground_truth"] + METHOD_NAMES + fig, axes = plt.subplots(2, 3, figsize=(14, 8)) + axes = axes.flatten() + + for idx, label in enumerate(all_labels): + ax = axes[idx] + det_path = os.path.join(stats_dir, net_name, label, "cluster_details.json") + if not os.path.exists(det_path): + ax.set_title(METHOD_LABELS.get(label, label)) + ax.text(0.5, 0.5, "No data", ha="center", va="center", + transform=ax.transAxes) + continue + + with open(det_path) as f: + details = json.load(f) + sizes = [d["n"] for d in details] + + if sizes: + ax.hist(sizes, bins=min(50, max(10, len(set(sizes)))), + edgecolor="black", alpha=0.7, color="steelblue") + ax.set_title(METHOD_LABELS.get(label, label), fontsize=10) + ax.set_xlabel("Cluster size") + ax.set_ylabel("Count") + if sizes and max(sizes) > 100: + ax.set_xscale("log") + + # Remove extra subplot if any + for idx in range(len(all_labels), len(axes)): + fig.delaxes(axes[idx]) + + fig.suptitle(f"Cluster Size Distribution — {net_name}", fontsize=13) + plt.tight_layout() + plt.savefig(os.path.join(FIGURES_DIR, f"cluster_sizes_{net_name}.pdf"), + bbox_inches="tight") + plt.close() + print(f" Saved cluster_sizes_{net_name}.pdf") + + +def plot_edge_density_boxplots(): + """Boxplots of edge density across methods for each network.""" + stats_dir = os.path.join(RESULTS_DIR, "stats") + + for net_name in NETWORKS: + all_labels = ["ground_truth"] + METHOD_NAMES + data = [] + labels = [] + + for label in all_labels: + det_path = os.path.join(stats_dir, net_name, label, "cluster_details.json") + if not os.path.exists(det_path): + continue + with open(det_path) as f: + details = json.load(f) + densities = [d["edge_density"] for d in details] + if densities: + data.append(densities) + labels.append(METHOD_LABELS.get(label, label)) + + if not data: + continue + + fig, ax = plt.subplots(figsize=(9, 4)) + bp = ax.boxplot(data, tick_labels=labels, patch_artist=True, showfliers=False) + for patch in bp["boxes"]: + patch.set_facecolor("lightblue") + ax.set_ylabel("Edge Density") + ax.set_title(f"Edge Density Distribution — {net_name}") + plt.xticks(rotation=20, ha="right") + plt.tight_layout() + plt.savefig(os.path.join(FIGURES_DIR, f"edge_density_{net_name}.pdf"), + bbox_inches="tight") + plt.close() + print(f" Saved edge_density_{net_name}.pdf") + + +def plot_mixing_parameter_comparison(): + """Bar chart of mean mixing parameter per method/network.""" + stats_path = os.path.join(RESULTS_DIR, "stats", "cluster_stats_summary.csv") + if not os.path.exists(stats_path): + print("No stats summary found, skipping mixing param plot") + return + + df = pd.read_csv(stats_path) + + fig, ax = plt.subplots(figsize=(10, 4.5)) + net_names = list(NETWORKS.keys()) + all_methods = ["ground_truth"] + METHOD_NAMES + x = np.arange(len(net_names)) + width = 0.13 + offsets = np.arange(len(all_methods)) - len(all_methods) / 2 + 0.5 + + colors = plt.cm.Set2(np.linspace(0, 1, len(all_methods))) + + for i, method in enumerate(all_methods): + vals = [] + for net in net_names: + row = df[(df["network"] == net) & (df["method"] == method)] + vals.append(row["mean_mixing_param"].values[0] if len(row) > 0 else 0) + ax.bar(x + offsets[i] * width, vals, width, label=METHOD_LABELS.get(method, method), + color=colors[i]) + + ax.set_xticks(x) + ax.set_xticklabels(net_names) + ax.set_ylabel("Mean Mixing Parameter") + ax.set_title("Mean Mixing Parameter by Network and Method") + ax.legend(fontsize=7, ncol=2) + plt.tight_layout() + plt.savefig(os.path.join(FIGURES_DIR, "mixing_parameter.pdf"), bbox_inches="tight") + plt.close() + print(" Saved mixing_parameter.pdf") + + +def plot_node_coverage_comparison(): + """Bar chart of node coverage per method/network.""" + stats_path = os.path.join(RESULTS_DIR, "stats", "cluster_stats_summary.csv") + if not os.path.exists(stats_path): + return + + df = pd.read_csv(stats_path) + + fig, ax = plt.subplots(figsize=(10, 4.5)) + net_names = list(NETWORKS.keys()) + all_methods = ["ground_truth"] + METHOD_NAMES + x = np.arange(len(net_names)) + width = 0.13 + offsets = np.arange(len(all_methods)) - len(all_methods) / 2 + 0.5 + colors = plt.cm.Set2(np.linspace(0, 1, len(all_methods))) + + for i, method in enumerate(all_methods): + vals = [] + for net in net_names: + row = df[(df["network"] == net) & (df["method"] == method)] + vals.append(row["node_coverage"].values[0] if len(row) > 0 else 0) + ax.bar(x + offsets[i] * width, vals, width, label=METHOD_LABELS.get(method, method), + color=colors[i]) + + ax.set_xticks(x) + ax.set_xticklabels(net_names) + ax.set_ylabel("Node Coverage") + ax.set_title("Node Coverage by Network and Method") + ax.legend(fontsize=7, ncol=2) + ax.set_ylim(0, 1.05) + plt.tight_layout() + plt.savefig(os.path.join(FIGURES_DIR, "node_coverage.pdf"), bbox_inches="tight") + plt.close() + print(" Saved node_coverage.pdf") + + +def generate_latex_accuracy_table(): + """Generate a LaTeX accuracy table.""" + acc_path = os.path.join(RESULTS_DIR, "accuracy", "accuracy_table.csv") + if not os.path.exists(acc_path): + return + + df = pd.read_csv(acc_path) + lines = [] + lines.append(r"\begin{table}[htbp]") + lines.append(r"\centering") + lines.append(r"\caption{Community detection accuracy (AMI, ARI, NMI) on EC-SBM networks.}") + lines.append(r"\label{tab:accuracy}") + lines.append(r"\begin{tabular}{llrrr}") + lines.append(r"\toprule") + lines.append(r"Network & Method & AMI & ARI & NMI \\") + lines.append(r"\midrule") + + for net_name in NETWORKS: + first = True + for _, row in df[df["network"] == net_name].iterrows(): + net_disp = net_name if first else "" + m_label = METHOD_LABELS.get(row["method"], row["method"]) + lines.append( + f"{net_disp} & {m_label} & {row['ami']:.4f} & {row['ari']:.4f} & {row['nmi']:.4f} \\\\" + ) + first = False + lines.append(r"\midrule") + + lines[-1] = r"\bottomrule" + lines.append(r"\end{tabular}") + lines.append(r"\end{table}") + + out_path = os.path.join(FIGURES_DIR, "accuracy_table.tex") + with open(out_path, "w") as f: + f.write("\n".join(lines)) + print(f" Saved accuracy_table.tex") + + +def generate_latex_stats_table(): + """Generate a LaTeX cluster stats table.""" + stats_path = os.path.join(RESULTS_DIR, "stats", "cluster_stats_summary.csv") + if not os.path.exists(stats_path): + return + + df = pd.read_csv(stats_path) + lines = [] + lines.append(r"\begin{table}[htbp]") + lines.append(r"\centering") + lines.append(r"\caption{Cluster statistics summary for each network and method.}") + lines.append(r"\label{tab:cluster_stats}") + lines.append(r"\footnotesize") + lines.append(r"\begin{tabular}{llrrrrrr}") + lines.append(r"\toprule") + lines.append(r"Network & Method & \#Clusters & Node Cov. & Mean Size & Mean Density & Mean Cond. & Mean Mix. \\") + lines.append(r"\midrule") + + for net_name in NETWORKS: + first = True + for _, row in df[df["network"] == net_name].iterrows(): + net_disp = net_name if first else "" + m_label = METHOD_LABELS.get(row["method"], row["method"]) + lines.append( + f"{net_disp} & {m_label} & {int(row['n_clusters_non_singleton'])} & " + f"{row['node_coverage']:.3f} & {row['mean_cluster_size']:.1f} & " + f"{row['mean_edge_density']:.3f} & {row['mean_conductance']:.3f} & " + f"{row['mean_mixing_param']:.3f} \\\\" + ) + first = False + lines.append(r"\midrule") + + lines[-1] = r"\bottomrule" + lines.append(r"\end{tabular}") + lines.append(r"\end{table}") + + out_path = os.path.join(FIGURES_DIR, "cluster_stats_table.tex") + with open(out_path, "w") as f: + f.write("\n".join(lines)) + print(f" Saved cluster_stats_table.tex") + + +def generate_all(): + print("Generating accuracy heatmaps...") + plot_accuracy_heatmap() + print("Generating cluster size distributions...") + plot_cluster_size_distributions() + print("Generating edge density boxplots...") + plot_edge_density_boxplots() + print("Generating mixing parameter comparison...") + plot_mixing_parameter_comparison() + print("Generating node coverage comparison...") + plot_node_coverage_comparison() + print("Generating LaTeX tables...") + generate_latex_accuracy_table() + generate_latex_stats_table() + print("All plots and tables generated.") + + +if __name__ == "__main__": + generate_all() diff --git a/scripts/load_data.py b/scripts/load_data.py new file mode 100644 index 0000000..5a0362b --- /dev/null +++ b/scripts/load_data.py @@ -0,0 +1,74 @@ +"""Shared data loading utilities for EC-SBM analysis.""" + +import pandas as pd +import numpy as np + + +def load_edge_list(path): + """Load a tab-separated edge list (no header, two columns: node1, node2).""" + df = pd.read_csv(path, sep="\t", header=None, names=["src", "tgt"], + dtype=str, comment="#") + return df + + +def load_communities(path): + """Load a tab-separated community file (no header: node, community). + Returns dict {node_str: community_str}.""" + node2com = {} + with open(path, "r") as f: + for line in f: + line = line.strip() + if not line or line.startswith("#"): + continue + parts = line.split("\t") + if len(parts) >= 2: + node2com[parts[0]] = parts[1] + return node2com + + +def build_igraph(edge_df): + """Build an igraph Graph from an edge DataFrame. + Returns (graph, name_to_idx, idx_to_name).""" + import igraph as ig + + all_nodes = pd.unique(edge_df[["src", "tgt"]].values.ravel("K")) + name_to_idx = {name: i for i, name in enumerate(all_nodes)} + idx_to_name = {i: name for name, i in name_to_idx.items()} + + src_ids = edge_df["src"].map(name_to_idx).values + tgt_ids = edge_df["tgt"].map(name_to_idx).values + + n = len(all_nodes) + g = ig.Graph(n=n, edges=list(zip(src_ids, tgt_ids)), directed=False) + g.simplify() # remove multi-edges and self-loops + return g, name_to_idx, idx_to_name + + +def build_graphtool_graph(edge_df): + """Build a graph-tool Graph from an edge DataFrame. + Returns (graph, name_to_idx, idx_to_name).""" + import graph_tool.all as gt + + all_nodes = pd.unique(edge_df[["src", "tgt"]].values.ravel("K")) + name_to_idx = {name: i for i, name in enumerate(all_nodes)} + idx_to_name = {i: name for name, i in name_to_idx.items()} + + src_ids = edge_df["src"].map(name_to_idx).values.astype(np.int64) + tgt_ids = edge_df["tgt"].map(name_to_idx).values.astype(np.int64) + + n = len(all_nodes) + g = gt.Graph(directed=False) + g.add_vertex(n) + g.add_edge_list(np.column_stack([src_ids, tgt_ids])) + gt.remove_parallel_edges(g) + gt.remove_self_loops(g) + return g, name_to_idx, idx_to_name + + +def save_communities(node2com, path): + """Save community assignments as TSV (node\tcommunity).""" + import os + os.makedirs(os.path.dirname(path), exist_ok=True) + with open(path, "w") as f: + for node, com in sorted(node2com.items(), key=lambda x: x[0]): + f.write(f"{node}\t{com}\n") diff --git a/scripts/run_all.py b/scripts/run_all.py new file mode 100644 index 0000000..c98b9a2 --- /dev/null +++ b/scripts/run_all.py @@ -0,0 +1,67 @@ +"""Master orchestration script: run all methods, compute accuracy and stats, generate plots.""" + +import sys +import os +import time +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +from config import NETWORKS, METHODS + + +def main(): + start = time.time() + + print("=" * 60) + print("EC-SBM Community Detection Analysis Pipeline") + print("=" * 60) + + # Step 1: Run community detection methods + for net_name in NETWORKS: + for method in METHODS: + m_name = method["name"] + m_type = method["type"] + + print(f"\n{'='*60}") + print(f"Running {m_name} on {net_name}") + print(f"{'='*60}") + + if m_type == "leiden": + from run_leiden import run_leiden + run_leiden(net_name, m_name, method["quality"], + method.get("resolution")) + elif m_type == "infomap": + from run_infomap import run_infomap + run_infomap(net_name) + elif m_type == "graphtool_sbm": + from run_graphtool_sbm import run_graphtool_sbm + run_graphtool_sbm(net_name) + + # Step 2: Compute accuracy + print(f"\n{'='*60}") + print("Computing accuracy metrics") + print(f"{'='*60}") + from compute_accuracy import compute_all_accuracy + compute_all_accuracy() + + # Step 3: Compute cluster stats + print(f"\n{'='*60}") + print("Computing cluster statistics") + print(f"{'='*60}") + from compute_stats import compute_all_stats + compute_all_stats() + + # Step 4: Generate plots and tables + print(f"\n{'='*60}") + print("Generating plots and LaTeX tables") + print(f"{'='*60}") + from generate_plots import generate_all + generate_all() + + elapsed = time.time() - start + print(f"\n{'='*60}") + print(f"Pipeline complete in {elapsed:.1f}s") + print(f"{'='*60}") + + +if __name__ == "__main__": + main() diff --git a/scripts/run_graphtool_sbm.py b/scripts/run_graphtool_sbm.py new file mode 100644 index 0000000..f860e89 --- /dev/null +++ b/scripts/run_graphtool_sbm.py @@ -0,0 +1,47 @@ +"""Run graph-tool SBM inference for community detection.""" + +import argparse +import sys +import os +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +import graph_tool.all as gt +import numpy as np + +from config import NETWORKS, RESULTS_DIR +from load_data import load_edge_list, build_graphtool_graph, save_communities + + +def run_graphtool_sbm(network_name): + net = NETWORKS[network_name] + edge_df = load_edge_list(net["edge_tsv"]) + g, name_to_idx, idx_to_name = build_graphtool_graph(edge_df) + + print(f" Graph: {g.num_vertices()} nodes, {g.num_edges()} edges") + + # Use minimize_blockmodel_dl for flat (non-nested) SBM + np.random.seed(42) + gt.seed_rng(42) + state = gt.minimize_blockmodel_dl(g) + + # Extract block assignments + blocks = state.get_blocks() + n_blocks = len(set(blocks.a)) + print(f" Found {n_blocks} blocks") + + node2com = {} + for v in g.vertices(): + node2com[idx_to_name[int(v)]] = str(blocks[v]) + + out_path = os.path.join(RESULTS_DIR, network_name, "graphtool_sbm", "com.tsv") + save_communities(node2com, out_path) + print(f" Saved to {out_path}") + return node2com + + +if __name__ == "__main__": + parser = argparse.ArgumentParser() + parser.add_argument("--network", required=True) + args = parser.parse_args() + print(f"Running graph-tool SBM on {args.network}...") + run_graphtool_sbm(args.network) diff --git a/scripts/run_infomap.py b/scripts/run_infomap.py new file mode 100644 index 0000000..e53c77d --- /dev/null +++ b/scripts/run_infomap.py @@ -0,0 +1,61 @@ +"""Run Infomap community detection.""" + +import argparse +import sys +import os +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +import infomap + +from config import NETWORKS, RESULTS_DIR, SEED +from load_data import load_edge_list, save_communities + + +def run_infomap(network_name): + net = NETWORKS[network_name] + edge_df = load_edge_list(net["edge_tsv"]) + + # Build node mapping + import pandas as pd + all_nodes = pd.unique(edge_df[["src", "tgt"]].values.ravel("K")) + name_to_idx = {name: i for i, name in enumerate(all_nodes)} + idx_to_name = {i: name for name, i in name_to_idx.items()} + + n = len(all_nodes) + print(f" Network: {n} nodes, {len(edge_df)} edges") + + im = infomap.Infomap("--two-level --flow-model undirected --seed {}".format(SEED)) + + for _, row in edge_df.iterrows(): + im.add_link(name_to_idx[row["src"]], name_to_idx[row["tgt"]]) + + im.run() + + print(f" Found {im.num_top_modules} top modules, codelength={im.codelength:.4f}") + + # Extract communities + node2com = {} + for node_id in im.tree: + if node_id.is_leaf: + node2com[idx_to_name[node_id.node_id]] = str(node_id.module_id) + + # Assign singleton communities to any nodes not in infomap output + max_com = max(int(c) for c in node2com.values()) + 1 + for idx in range(n): + name = idx_to_name[idx] + if name not in node2com: + node2com[name] = str(max_com) + max_com += 1 + + out_path = os.path.join(RESULTS_DIR, network_name, "infomap", "com.tsv") + save_communities(node2com, out_path) + print(f" Saved to {out_path}") + return node2com + + +if __name__ == "__main__": + parser = argparse.ArgumentParser() + parser.add_argument("--network", required=True) + args = parser.parse_args() + print(f"Running Infomap on {args.network}...") + run_infomap(args.network) diff --git a/scripts/run_leiden.py b/scripts/run_leiden.py new file mode 100644 index 0000000..375b6bb --- /dev/null +++ b/scripts/run_leiden.py @@ -0,0 +1,62 @@ +"""Run Leiden community detection (modularity or CPM).""" + +import argparse +import sys +import os +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) + +import igraph as ig +import leidenalg + +from config import NETWORKS, RESULTS_DIR, SEED +from load_data import load_edge_list, build_igraph, save_communities + + +def run_leiden(network_name, method_name, quality, resolution=None): + net = NETWORKS[network_name] + edge_df = load_edge_list(net["edge_tsv"]) + g, name_to_idx, idx_to_name = build_igraph(edge_df) + + print(f" Graph: {g.vcount()} nodes, {g.ecount()} edges") + + if quality == "modularity": + partition = leidenalg.find_partition( + g, leidenalg.ModularityVertexPartition, seed=SEED + ) + elif quality == "cpm": + partition = leidenalg.find_partition( + g, leidenalg.CPMVertexPartition, + resolution_parameter=resolution, seed=SEED + ) + else: + raise ValueError(f"Unknown quality function: {quality}") + + print(f" Found {len(partition)} communities, modularity={partition.modularity:.4f}") + + # Convert partition to node2com dict + node2com = {} + for comm_id, members in enumerate(partition): + for idx in members: + node2com[idx_to_name[idx]] = str(comm_id) + + out_path = os.path.join(RESULTS_DIR, network_name, method_name, "com.tsv") + save_communities(node2com, out_path) + print(f" Saved to {out_path}") + return node2com + + +if __name__ == "__main__": + parser = argparse.ArgumentParser() + parser.add_argument("--network", required=True) + parser.add_argument("--method", required=True, + choices=["leiden_mod", "leiden_cpm_01", "leiden_cpm_001"]) + args = parser.parse_args() + + method_configs = { + "leiden_mod": {"quality": "modularity"}, + "leiden_cpm_01": {"quality": "cpm", "resolution": 0.1}, + "leiden_cpm_001": {"quality": "cpm", "resolution": 0.01}, + } + cfg = method_configs[args.method] + print(f"Running {args.method} on {args.network}...") + run_leiden(args.network, args.method, **cfg) diff --git a/writeup/main.pdf b/writeup/main.pdf new file mode 100644 index 0000000..1ac0146 Binary files /dev/null and b/writeup/main.pdf differ diff --git a/writeup/main.tex b/writeup/main.tex new file mode 100644 index 0000000..ad462bd --- /dev/null +++ b/writeup/main.tex @@ -0,0 +1,303 @@ +\documentclass[11pt]{article} +\usepackage[margin=1in]{geometry} +\usepackage{booktabs} +\usepackage{graphicx} +\usepackage{amsmath} +\usepackage{hyperref} +\usepackage{natbib} +\usepackage{subcaption} +\usepackage{xcolor} + +\title{Community Detection on EC-SBM Synthetic Networks:\\A Comparative Evaluation} +\author{CS 598 Data Analysis Assignment} +\date{February 2026} + +\begin{document} +\maketitle + +% ============================================================ +\section{Introduction} + +Community detection is a fundamental task in network analysis, aiming to partition a network's nodes into groups with dense internal connections and sparse external connections. +Evaluating community detection methods is challenging because real-world networks rarely come with verified ground-truth communities. +The EC-SBM (Edge-Connected Stochastic Block Model) benchmark~\citep{vule2025sbm} addresses this by generating synthetic networks whose structure reflects properties of real networks, while providing known ground-truth communities for accuracy evaluation. + +In this study, we apply five community detection methods to three EC-SBM networks of varying size. +We evaluate accuracy using Adjusted Mutual Information (AMI), Adjusted Rand Index (ARI), and Normalized Mutual Information (NMI), and also report empirical statistics about the detected communities, including node coverage, cluster size and edge density distributions, conductance, and mixing parameters. + +% ============================================================ +\section{Methods} + +\subsection{Networks} + +We selected three EC-SBM benchmark networks based on the \texttt{sbm+wcc} variant, as specified by the assignment. +Table~\ref{tab:networks} summarizes their properties. + +\begin{table}[htbp] +\centering +\caption{EC-SBM networks used in this study.} +\label{tab:networks} +\begin{tabular}{lrrl} +\toprule +Network & Nodes & Edges & Description \\ +\midrule +\texttt{polblogs} & 1,224 & 16,734 & Small ($<$10K nodes) \\ +\texttt{topology} & 34,761 & 108,052 & Large (35K nodes) \\ +\texttt{internet\_as} & 22,963 & 48,643 & Large (23K nodes) \\ +\bottomrule +\end{tabular} +\end{table} + +The \texttt{polblogs} network serves as our small test case, while \texttt{topology} and \texttt{internet\_as} are both large networks exceeding 20,000 nodes. +All networks were downloaded from the Illinois Data Bank~\citep{vule2025sbm} and use the \texttt{sbm+wcc} generation parameters (instance 0). + +\subsection{Community Detection Algorithms} + +We applied five community detection methods: + +\begin{enumerate} +\item \textbf{Leiden optimizing modularity} (Leiden-Mod): The Leiden algorithm~\citep{traag2019leiden} optimizing the modularity quality function~\citep{newman2004modularity}. We used \texttt{leidenalg} v0.10.2 with \texttt{ModularityVertexPartition}. + +\item \textbf{Leiden optimizing CPM at resolution 0.1} (Leiden-CPM(0.1)): The Leiden algorithm~\citep{traag2019leiden} with the Constant Potts Model (CPM)~\citep{traag2019cpm} at resolution parameter $\gamma = 0.1$. + +\item \textbf{Leiden optimizing CPM at resolution 0.01} (Leiden-CPM(0.01)): Same as above with $\gamma = 0.01$. + +\item \textbf{Infomap}: The Infomap algorithm~\citep{rosvall2008maps} (v2.8.1), which minimizes the map equation using a two-level partition with undirected flow model. + +\item \textbf{graph-tool SBM}: Stochastic Block Model inference via \texttt{graph-tool}~\citep{peixoto2014efficient}, using \texttt{minimize\_blockmodel\_dl()} for a flat (non-nested) partition that minimizes description length. +\end{enumerate} + +All methods used seed 42 for reproducibility. + +\subsection{Evaluation Metrics} + +\subsubsection{Accuracy Metrics} +We report three standard clustering comparison metrics, computed using \texttt{scikit-learn}: +\begin{itemize} +\item \textbf{Adjusted Mutual Information (AMI)}~\citep{vinh2010ami}: Mutual information adjusted for chance, normalized by the arithmetic mean of the marginal entropies. Ranges from 0 (random) to 1 (perfect). +\item \textbf{Adjusted Rand Index (ARI)}~\citep{hubert1985ari}: The Rand index corrected for expected value under random permutation. Ranges from $-0.5$ to 1. +\item \textbf{Normalized Mutual Information (NMI)}~\citep{vinh2010ami}: Mutual information normalized by the arithmetic mean of the marginal entropies, without chance correction. Ranges from 0 to 1. +\end{itemize} + +For all metrics, we aligned labels over the full node set derived from the edge list. Nodes missing from a clustering were each assigned unique singleton community IDs, ensuring consistent evaluation across methods. +We cross-validated our AMI, ARI, and NMI values against the official \texttt{network\_evaluation} scripts (\url{https://github.com/illinois-or-research-analytics/network_evaluation}) and confirmed identical results. + +\subsubsection{Cluster Statistics} +For each clustering (including ground truth), we report: +\begin{itemize} +\item \textbf{Node coverage}: Fraction of nodes in non-singleton clusters (clusters with $\geq 2$ nodes). +\item \textbf{Number of non-singleton clusters}: The count of communities with at least 2 members. +\item \textbf{Mean cluster size}: Average number of nodes per non-singleton cluster. +\item \textbf{Edge density}: For a cluster of size $n$ with $m$ internal edges, $\rho = 2m / (n(n-1))$. +\item \textbf{Conductance}: $\phi = c_S / (2m_S + c_S)$, where $c_S$ is the number of boundary edges. +\item \textbf{Mixing parameter}: Per-node fraction of neighbors outside the node's own community. A value near 0 indicates strong community structure; near 1 indicates weak structure. +\end{itemize} + +% ============================================================ +\section{Results} + +\subsection{Accuracy} + +Table~\ref{tab:accuracy} and Figure~\ref{fig:heatmaps} present the accuracy metrics for all 15 (network, method) combinations. + +\input{../results/figures/accuracy_table.tex} + +\begin{figure}[htbp] +\centering +\begin{subfigure}[b]{0.32\textwidth} +\includegraphics[width=\textwidth]{../results/figures/heatmap_ami.pdf} +\caption{AMI} +\end{subfigure} +\begin{subfigure}[b]{0.32\textwidth} +\includegraphics[width=\textwidth]{../results/figures/heatmap_ari.pdf} +\caption{ARI} +\end{subfigure} +\begin{subfigure}[b]{0.32\textwidth} +\includegraphics[width=\textwidth]{../results/figures/heatmap_nmi.pdf} +\caption{NMI} +\end{subfigure} +\caption{Accuracy heatmaps for AMI, ARI, and NMI across networks and methods.} +\label{fig:heatmaps} +\end{figure} + +Key observations: +\begin{itemize} +\item \textbf{Leiden-CPM(0.1) achieves the highest NMI} across all three networks (0.815 on polblogs, 0.937 on topology, 0.935 on internet\_as), and also the highest AMI. +\item \textbf{ARI values are universally low} (all below 0.17), even for the best-performing methods. This contrasts with the relatively higher NMI values, suggesting that the methods find many of the correct community boundaries (high NMI) but may differ in how they handle rare pairs (low ARI). +\item \textbf{Leiden-Mod and graph-tool SBM have the lowest accuracy}, primarily because they produce very few large clusters compared to the many small ground-truth communities. +\item \textbf{Infomap} sits between the extremes, with moderate NMI (0.35--0.75) and AMI (0.16--0.18). +\end{itemize} + +\subsection{Cluster Statistics} + +Table~\ref{tab:cluster_stats} summarizes the cluster statistics. + +\input{../results/figures/cluster_stats_table.tex} + +\subsubsection{Node Coverage} +Figure~\ref{fig:node_coverage} shows node coverage by method. +Leiden-Mod, Infomap, and graph-tool SBM achieve 100\% coverage because they assign every node to some community. +The CPM-based Leiden methods and the ground truth have lower coverage because many nodes are left as singletons. +The ground truth itself has very low node coverage (21--48\%), indicating that the EC-SBM ground-truth communities cover only a minority of nodes, with the remainder being in singleton clusters. + +\begin{figure}[htbp] +\centering +\includegraphics[width=0.85\textwidth]{../results/figures/node_coverage.pdf} +\caption{Node coverage (fraction of nodes in non-singleton clusters) by network and method.} +\label{fig:node_coverage} +\end{figure} + +\subsubsection{Cluster Size Distribution} +Figure~\ref{fig:cluster_sizes_topology} shows cluster size distributions for the \texttt{topology} network (see Appendix for other networks). +The ground truth is dominated by small clusters (mean size 5.0), with a log-scale $x$-axis revealing a heavy-tailed distribution. +Leiden-Mod produces far fewer, much larger clusters (mean 695 nodes), while Leiden-CPM(0.1) closely matches the ground-truth distribution shape. + +\begin{figure}[htbp] +\centering +\includegraphics[width=\textwidth]{../results/figures/cluster_sizes_topology.pdf} +\caption{Cluster size distributions for \texttt{topology}. Note logarithmic $x$-axis for methods with large clusters.} +\label{fig:cluster_sizes_topology} +\end{figure} + +\subsubsection{Edge Density} +Figure~\ref{fig:edge_density} shows edge density distributions. +The ground truth has very high edge density (mean 0.83--0.84), which is expected for small, tightly-connected clusters. +Leiden-Mod and graph-tool SBM, which produce large clusters, have much lower edge density. +Leiden-CPM(0.1) produces clusters with moderate density (0.57--0.59), closer to ground truth than other methods. + +\begin{figure}[htbp] +\centering +\includegraphics[width=0.85\textwidth]{../results/figures/edge_density_topology.pdf} +\caption{Edge density distribution across methods for \texttt{topology}.} +\label{fig:edge_density} +\end{figure} + +\subsubsection{Mixing Parameter} +Figure~\ref{fig:mixing} presents the mean mixing parameter. +The ground truth has a high mean mixing parameter (0.88--0.91), meaning most nodes have most of their neighbors outside their assigned community. +This is because the ground-truth communities are small and sparse relative to the full network. +Leiden-Mod has the lowest mixing parameter (0.10--0.13) because it creates large clusters that encompass most of each node's neighborhood. +graph-tool SBM has a high mixing parameter (0.68--0.89), similar to ground truth, indicating it also produces blocks where many edges cross community boundaries. + +\begin{figure}[htbp] +\centering +\includegraphics[width=0.85\textwidth]{../results/figures/mixing_parameter.pdf} +\caption{Mean mixing parameter by network and method.} +\label{fig:mixing} +\end{figure} + +\subsection{Effect of CPM Resolution Parameter} + +Comparing Leiden-CPM at resolutions 0.1 and 0.01 reveals the expected trade-off: +\begin{itemize} +\item \textbf{Resolution 0.1} produces more clusters (4,047 on topology vs.\ 1,802 at 0.01), with smaller mean size, higher edge density, but lower node coverage. +\item \textbf{Resolution 0.01} produces fewer, larger clusters with higher node coverage and lower mixing parameter, but slightly lower NMI. +\item On polblogs, resolution 0.1 achieves AMI=0.43 vs.\ 0.32 for resolution 0.01. On topology, they are similar (AMI $\approx$ 0.24 and 0.23). +\end{itemize} + +This aligns with the findings of~\citet{park2024wellconnectedness}, who observed that higher CPM resolutions tend to find smaller, denser communities that may better capture local structure. + +% ============================================================ +\section{Discussion} + +\subsection{Method Comparison} + +Our results reveal a fundamental tension in community detection: methods that optimize for global objectives (modularity, description length) tend to create few large clusters, while methods that allow for many small clusters (CPM, ground truth) capture finer-grained structure. + +\textbf{Leiden-CPM(0.1)} was the best performer overall, achieving the highest AMI and NMI on all three networks. Its cluster size distribution and edge density most closely match the ground truth. This is consistent with the findings of~\citet{vule2025sbm}, who noted that CPM-based methods with appropriate resolution tend to recover EC-SBM communities well. + +\textbf{Leiden-Mod} and \textbf{graph-tool SBM} perform poorly because they suffer from a resolution limit~\citep{newman2004modularity}: modularity optimization cannot detect communities smaller than $\sqrt{2m}$ (where $m$ is the number of edges), and SBM inference prefers parsimonious models with fewer blocks. +On topology (108K edges), both methods find fewer than 100 communities vs.\ 1,517 in ground truth. + +\textbf{Infomap} provides a middle ground with moderate accuracy. Its flow-based approach creates more communities than modularity (23--1,274 clusters) and achieves 100\% coverage, but its NMI (0.35--0.73) falls well below Leiden-CPM(0.1). + +\textbf{graph-tool SBM} is interesting because it identifies structure that is fundamentally different from the other methods: it infers blocks based on connectivity patterns (stochastic equivalence) rather than dense subgraphs. Its high mixing parameter and conductance confirm that its blocks are not internally dense communities but groups of nodes with similar connection profiles, which explains its low accuracy against the dense ground-truth communities. + +\subsection{Discrepancy Between NMI and ARI} + +A notable observation is the large gap between NMI and ARI values. For example, Leiden-CPM(0.1) on topology has NMI=0.937 but ARI=0.059. This discrepancy arises because NMI measures agreement in information-theoretic terms (sensitive to correct assignment of information), while ARI measures pairwise agreement (sensitive to whether pairs of nodes are correctly co-clustered or separated). When ground-truth clusters are very small (mean size 5), most pairs of nodes are in different clusters, and even small errors in cluster assignment can drastically reduce the pairwise agreement measured by ARI while barely affecting the information-theoretic NMI. + +\subsection{Ground Truth Properties} + +The EC-SBM ground-truth communities have distinctive properties: very small clusters (mean 4--8 nodes), high edge density (0.77--0.84), and low node coverage (21--48\%). This means the majority of nodes are singletons in the ground truth. Methods that achieve 100\% coverage (Leiden-Mod, Infomap, graph-tool SBM) necessarily create many false-positive community memberships for these singleton nodes, which may artificially inflate or deflate accuracy depending on the metric. + +\subsection{Connection to Literature} + +Our findings are consistent with: +\begin{itemize} +\item \citet{park2024wellconnectedness}: They demonstrated that well-connectedness is an important property of meaningful communities, and that CPM-based methods tend to produce well-connected clusters. Our edge density and conductance results support this. +\item \citet{vule2025sbm}: Their study of EC-SBM benchmarks showed that CPM-based Leiden methods outperform modularity-based methods on these networks, which matches our accuracy results across all three networks. +\end{itemize} + +% ============================================================ +\section{Reproducibility} + +\subsection{Software Versions} +\begin{itemize} +\item Python 3.12.12 +\item \texttt{python-igraph} (via conda-forge) +\item \texttt{leidenalg} (via conda-forge) +\item \texttt{infomap} 2.8.1 +\item \texttt{graph-tool} (via conda-forge) +\item \texttt{scikit-learn}, \texttt{scipy}, \texttt{matplotlib}, \texttt{pandas} (via conda-forge) +\end{itemize} + +\subsection{Data Source} +EC-SBM networks downloaded from the Illinois Data Bank: \url{https://databank.illinois.edu/datasets/IDB-3284069} (file \texttt{networks.zip}, 3.51 GB). We used the \texttt{sbm+wcc} variant, instance 0, for each network. + +\subsection{How to Reproduce} +\begin{enumerate} +\item Install dependencies: +\begin{verbatim} +conda install -c conda-forge python-igraph leidenalg \ + infomap graph-tool matplotlib scipy scikit-learn pandas -y +\end{verbatim} +\item Download and extract \texttt{networks.zip} to \texttt{data/networks/}. +\item Create symlinks (see \texttt{scripts/config.py} for paths). +\item Run the full pipeline: +\begin{verbatim} +python scripts/run_all.py +\end{verbatim} +\item Compile this report: +\begin{verbatim} +cd writeup && pdflatex main && bibtex main && pdflatex main && pdflatex main +\end{verbatim} +\end{enumerate} + +All code, results, and this writeup are in the project directory. Random seeds are fixed at 42 for all stochastic methods. + +% ============================================================ +\appendix +\section{Additional Cluster Size Distributions} + +\begin{figure}[htbp] +\centering +\includegraphics[width=\textwidth]{../results/figures/cluster_sizes_polblogs.pdf} +\caption{Cluster size distributions for \texttt{polblogs}.} +\end{figure} + +\begin{figure}[htbp] +\centering +\includegraphics[width=\textwidth]{../results/figures/cluster_sizes_internet_as.pdf} +\caption{Cluster size distributions for \texttt{internet\_as}.} +\end{figure} + +\section{Additional Edge Density Distributions} + +\begin{figure}[htbp] +\centering +\includegraphics[width=0.85\textwidth]{../results/figures/edge_density_polblogs.pdf} +\caption{Edge density distribution for \texttt{polblogs}.} +\end{figure} + +\begin{figure}[htbp] +\centering +\includegraphics[width=0.85\textwidth]{../results/figures/edge_density_internet_as.pdf} +\caption{Edge density distribution for \texttt{internet\_as}.} +\end{figure} + +% ============================================================ +\bibliographystyle{plainnat} +\bibliography{references} + +\end{document} diff --git a/writeup/references.bib b/writeup/references.bib new file mode 100644 index 0000000..b9aa77d --- /dev/null +++ b/writeup/references.bib @@ -0,0 +1,102 @@ +@article{park2024wellconnectedness, + title={Well-connectedness and community detection}, + author={Park, Minhyuk and Tabatabaee, Yasamin and Ramavarapu, Vikram and Liu, Baqiao and Pailodi, Vidya and Korobskiy, Dmitriy and Ayati, Mitra and Ramachandran, Tandy Warnow and Chacko, George}, + journal={PLOS Complex Systems}, + year={2024}, + doi={10.1371/journal.pcsy.0000009} +} + +@article{vule2025sbm, + title={Using Stochastic Block Models for Community Detection}, + author={Vu-Le, The-Anh and Park, Minhyuk and Warnow, Tandy}, + journal={Applied Network Science}, + volume={11}, + number={2}, + year={2025}, + doi={10.1007/s41109-025-00747-2} +} + +@article{traag2019leiden, + title={From Louvain to Leiden: guaranteeing well-connected communities}, + author={Traag, Vincent A and Waltman, Ludo and {van Eck}, Nees Jan}, + journal={Scientific Reports}, + volume={9}, + number={1}, + pages={5233}, + year={2019}, + doi={10.1038/s41598-019-41695-z} +} + +@article{rosvall2008maps, + title={Maps of random walks on complex networks reveal community structure}, + author={Rosvall, Martin and Bergstrom, Carl T}, + journal={Proceedings of the National Academy of Sciences}, + volume={105}, + number={4}, + pages={1118--1123}, + year={2008}, + doi={10.1073/pnas.0706851105} +} + +@article{peixoto2014efficient, + title={Efficient Monte Carlo and greedy heuristic for the inference of stochastic block models}, + author={Peixoto, Tiago P}, + journal={Physical Review E}, + volume={89}, + number={1}, + pages={012804}, + year={2014}, + doi={10.1103/PhysRevE.89.012804} +} + +@article{holland1983sbm, + title={Stochastic blockmodels: First steps}, + author={Holland, Paul W and Laskey, Kathryn Blackmond and Leinhardt, Samuel}, + journal={Social Networks}, + volume={5}, + number={2}, + pages={109--137}, + year={1983}, + doi={10.1016/0378-8733(83)90021-7} +} + +@article{vinh2010ami, + title={Information theoretic measures for clusterings comparison: Variants, properties, normalization and correction for chance}, + author={Vinh, Nguyen Xuan and Epps, Julien and Bailey, James}, + journal={Journal of Machine Learning Research}, + volume={11}, + pages={2837--2854}, + year={2010} +} + +@article{hubert1985ari, + title={Comparing partitions}, + author={Hubert, Lawrence and Arabie, Phipps}, + journal={Journal of Classification}, + volume={2}, + pages={193--218}, + year={1985}, + doi={10.1007/BF01908075} +} + +@article{traag2019cpm, + title={Detecting communities using asymptotical surprise}, + author={Traag, Vincent A and Aldecoa, Rodrigo and Delvenne, Jean-Charles}, + journal={Physical Review E}, + volume={92}, + number={2}, + pages={022816}, + year={2015}, + doi={10.1103/PhysRevE.92.022816} +} + +@article{newman2004modularity, + title={Finding and evaluating community structure in networks}, + author={Newman, Mark EJ and Girvan, Michelle}, + journal={Physical Review E}, + volume={69}, + number={2}, + pages={026113}, + year={2004}, + doi={10.1103/PhysRevE.69.026113} +} -- cgit v1.2.3