Add edge connectivity analysis, use official network_evaluation scriptsHEADmaster

- Switch accuracy computation to official network_evaluation scripts
  (clustering_accuracy with graph-tool NMI/AMI and sklearn ARI)
- Add minimum edge cut / log10(n) and well-connectedness stats
- Add edge connectivity boxplots and well-connected fraction bar chart
- Add "What I Learned and Open Questions" section to discussion
- Fix author name and minor LaTeX issues

2 files changed, 211 insertions, 71 deletions

diff --git a/results/stats/polblogs/ground_truth/cluster_details.json b/results/stats/polblogs/ground_truth/cluster_details.json
index b2f1602..24634ad 100644
--- a/results/stats/polblogs/ground_truth/cluster_details.json
+++ b/results/stats/polblogs/ground_truth/cluster_details.json
@@ -6,7 +6,9 @@
     "c_boundary": 2008,
     "edge_density": 0.44565217391304346,
     "degree_density": 5.125,
-    "conductance": 0.8908606921029282
+    "conductance": 0.8908606921029282,
+    "mincut": 4,
+    "mincut_over_log10n": 2.8981071006490158
   },
   {
     "com_id": "1",
@@ -15,7 +17,9 @@
     "c_boundary": 976,
     "edge_density": 0.41025641025641024,
     "degree_density": 2.4615384615384617,
-    "conductance": 0.9384615384615385
+    "conductance": 0.9384615384615385,
+    "mincut": 2,
+    "mincut_over_log10n": 1.7954234350052463
   },
   {
     "com_id": "10",
@@ -24,7 +28,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "11",
@@ -33,7 +39,9 @@
     "c_boundary": 6,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.75
+    "conductance": 0.75,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "12",
@@ -42,7 +50,9 @@
     "c_boundary": 6,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.75
+    "conductance": 0.75,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "13",
@@ -51,7 +61,9 @@
     "c_boundary": 3,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.6
+    "conductance": 0.6,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "14",
@@ -60,7 +72,9 @@
     "c_boundary": 7,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.7777777777777778
+    "conductance": 0.7777777777777778,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "15",
@@ -69,7 +83,9 @@
     "c_boundary": 13,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8666666666666667
+    "conductance": 0.8666666666666667,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "16",
@@ -78,7 +94,9 @@
     "c_boundary": 13,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8666666666666667
+    "conductance": 0.8666666666666667,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "17",
@@ -87,7 +105,9 @@
     "c_boundary": 17,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8947368421052632
+    "conductance": 0.8947368421052632,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "18",
@@ -96,7 +116,9 @@
     "c_boundary": 13,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8666666666666667
+    "conductance": 0.8666666666666667,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "19",
@@ -105,7 +127,9 @@
     "c_boundary": 12,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.75
+    "conductance": 0.75,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   },
   {
     "com_id": "2",
@@ -114,7 +138,9 @@
     "c_boundary": 8,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.6666666666666666
+    "conductance": 0.6666666666666666,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   },
   {
     "com_id": "20",
@@ -123,7 +149,9 @@
     "c_boundary": 37,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.9024390243902439
+    "conductance": 0.9024390243902439,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   },
   {
     "com_id": "21",
@@ -132,7 +160,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "22",
@@ -141,7 +171,9 @@
     "c_boundary": 0,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.0
+    "conductance": 0.0,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "23",
@@ -150,7 +182,9 @@
     "c_boundary": 3,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.6
+    "conductance": 0.6,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "24",
@@ -159,7 +193,9 @@
     "c_boundary": 14,
     "edge_density": 0.4,
     "degree_density": 0.8,
-    "conductance": 0.6363636363636364
+    "conductance": 0.6363636363636364,
+    "mincut": 1,
+    "mincut_over_log10n": 1.430676558073393
   },
   {
     "com_id": "25",
@@ -168,7 +204,9 @@
     "c_boundary": 3,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.6
+    "conductance": 0.6,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "26",
@@ -177,7 +215,9 @@
     "c_boundary": 47,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.9591836734693877
+    "conductance": 0.9591836734693877,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "27",
@@ -186,7 +226,9 @@
     "c_boundary": 17,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8947368421052632
+    "conductance": 0.8947368421052632,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "28",
@@ -195,7 +237,9 @@
     "c_boundary": 13,
     "edge_density": 0.5,
     "degree_density": 0.75,
-    "conductance": 0.6842105263157895
+    "conductance": 0.6842105263157895,
+    "mincut": 1,
+    "mincut_over_log10n": 1.660964047443681
   },
   {
     "com_id": "29",
@@ -204,7 +248,9 @@
     "c_boundary": 7,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.7777777777777778
+    "conductance": 0.7777777777777778,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "3",
@@ -213,7 +259,9 @@
     "c_boundary": 164,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.9761904761904762
+    "conductance": 0.9761904761904762,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   },
   {
     "com_id": "30",
@@ -222,7 +270,9 @@
     "c_boundary": 29,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.8787878787878788
+    "conductance": 0.8787878787878788,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   },
   {
     "com_id": "31",
@@ -231,7 +281,9 @@
     "c_boundary": 10,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8333333333333334
+    "conductance": 0.8333333333333334,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "32",
@@ -240,7 +292,9 @@
     "c_boundary": 1,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.3333333333333333
+    "conductance": 0.3333333333333333,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "33",
@@ -249,7 +303,9 @@
     "c_boundary": 5,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.7142857142857143
+    "conductance": 0.7142857142857143,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "34",
@@ -258,7 +314,9 @@
     "c_boundary": 2,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.5
+    "conductance": 0.5,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "35",
@@ -267,7 +325,9 @@
     "c_boundary": 10,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8333333333333334
+    "conductance": 0.8333333333333334,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "36",
@@ -276,7 +336,9 @@
     "c_boundary": 11,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8461538461538461
+    "conductance": 0.8461538461538461,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "37",
@@ -285,7 +347,9 @@
     "c_boundary": 93,
     "edge_density": 0.5,
     "degree_density": 0.75,
-    "conductance": 0.9393939393939394
+    "conductance": 0.9393939393939394,
+    "mincut": 1,
+    "mincut_over_log10n": 1.660964047443681
   },
   {
     "com_id": "38",
@@ -294,7 +358,9 @@
     "c_boundary": 3,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.42857142857142855
+    "conductance": 0.42857142857142855,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   },
   {
     "com_id": "39",
@@ -303,7 +369,9 @@
     "c_boundary": 71,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.9726027397260274
+    "conductance": 0.9726027397260274,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "4",
@@ -312,7 +380,9 @@
     "c_boundary": 384,
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     "degree_density": 0.5,
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+    "conductance": 0.9948186528497409,
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   },
   {
     "com_id": "40",
@@ -321,7 +391,9 @@
     "c_boundary": 22,
     "edge_density": 0.5,
     "degree_density": 0.75,
-    "conductance": 0.7857142857142857
+    "conductance": 0.7857142857142857,
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@@ -330,7 +402,9 @@
     "c_boundary": 31,
     "edge_density": 1.0,
     "degree_density": 0.5,
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+    "conductance": 0.9393939393939394,
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   },
   {
     "com_id": "42",
@@ -339,7 +413,9 @@
     "c_boundary": 18,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.9
+    "conductance": 0.9,
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   },
   {
     "com_id": "43",
@@ -348,7 +424,9 @@
     "c_boundary": 11,
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     "degree_density": 0.5,
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+    "conductance": 0.8461538461538461,
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   {
     "com_id": "44",
@@ -357,7 +435,9 @@
     "c_boundary": 69,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.971830985915493
+    "conductance": 0.971830985915493,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
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     "com_id": "45",
@@ -366,7 +446,9 @@
     "c_boundary": 48,
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     "degree_density": 0.6666666666666666,
-    "conductance": 0.9230769230769231
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   },
   {
     "com_id": "46",
@@ -375,7 +457,9 @@
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     "com_id": "47",
@@ -384,7 +468,9 @@
     "c_boundary": 11,
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+    "conductance": 0.6470588235294118,
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@@ -393,7 +479,9 @@
     "c_boundary": 12,
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     "degree_density": 0.5,
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+    "conductance": 0.8571428571428571,
+    "mincut": 1,
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@@ -402,7 +490,9 @@
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   },
   {
     "com_id": "5",
@@ -411,7 +501,9 @@
     "c_boundary": 4,
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     "degree_density": 0.5,
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   },
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     "com_id": "50",
@@ -420,7 +512,9 @@
     "c_boundary": 124,
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+    "conductance": 0.9538461538461539,
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@@ -429,7 +523,9 @@
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+    "conductance": 0.7142857142857143,
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@@ -438,7 +534,9 @@
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@@ -447,7 +545,9 @@
     "c_boundary": 4,
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@@ -456,7 +556,9 @@
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@@ -465,7 +567,9 @@
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@@ -474,7 +578,9 @@
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@@ -483,7 +589,9 @@
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@@ -492,7 +600,9 @@
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@@ -501,7 +611,9 @@
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@@ -510,7 +622,9 @@
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@@ -519,7 +633,9 @@
     "c_boundary": 1168,
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+    "conductance": 0.9096573208722741,
+    "mincut": 2,
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   },
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@@ -528,7 +644,9 @@
     "c_boundary": 1689,
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     "degree_density": 2.4444444444444446,
-    "conductance": 0.9746105020196192
+    "conductance": 0.9746105020196192,
+    "mincut": 3,
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   },
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     "com_id": "62",
@@ -537,7 +655,9 @@
     "c_boundary": 1624,
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     "degree_density": 3.3548387096774195,
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+    "conductance": 0.8864628820960698,
+    "mincut": 2,
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   },
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@@ -546,7 +666,9 @@
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     "degree_density": 2.3529411764705883,
-    "conductance": 0.9310938845822567
+    "conductance": 0.9310938845822567,
+    "mincut": 2,
+    "mincut_over_log10n": 1.625423018583918
   },
   {
     "com_id": "64",
@@ -555,7 +677,9 @@
     "c_boundary": 1589,
     "edge_density": 0.12372881355932204,
     "degree_density": 3.65,
-    "conductance": 0.7839171188949186
+    "conductance": 0.7839171188949186,
+    "mincut": 2,
+    "mincut_over_log10n": 1.1247637115056954
   },
   {
     "com_id": "65",
@@ -564,7 +688,9 @@
     "c_boundary": 1638,
     "edge_density": 0.10853658536585366,
     "degree_density": 2.1707317073170733,
-    "conductance": 0.9019823788546255
+    "conductance": 0.9019823788546255,
+    "mincut": 2,
+    "mincut_over_log10n": 1.2400917777462312
   },
   {
     "com_id": "66",
@@ -573,7 +699,9 @@
     "c_boundary": 347,
     "edge_density": 0.12298387096774194,
     "degree_density": 1.90625,
-    "conductance": 0.7398720682302772
+    "conductance": 0.7398720682302772,
+    "mincut": 2,
+    "mincut_over_log10n": 1.3287712379549448
   },
   {
     "com_id": "67",
@@ -582,7 +710,9 @@
     "c_boundary": 609,
     "edge_density": 0.09634146341463415,
     "degree_density": 1.9268292682926829,
-    "conductance": 0.7940026075619296
+    "conductance": 0.7940026075619296,
+    "mincut": 2,
+    "mincut_over_log10n": 1.2400917777462312
   },
   {
     "com_id": "68",
@@ -591,7 +721,9 @@
     "c_boundary": 125,
     "edge_density": 0.7,
     "degree_density": 1.4,
-    "conductance": 0.8992805755395683
+    "conductance": 0.8992805755395683,
+    "mincut": 2,
+    "mincut_over_log10n": 2.861353116146786
   },
   {
     "com_id": "69",
@@ -600,7 +732,9 @@
     "c_boundary": 134,
     "edge_density": 1.0,
     "degree_density": 2.0,
-    "conductance": 0.8701298701298701
+    "conductance": 0.8701298701298701,
+    "mincut": 4,
+    "mincut_over_log10n": 5.722706232293572
   },
   {
     "com_id": "7",
@@ -609,7 +743,9 @@
     "c_boundary": 25,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.9259259259259259
+    "conductance": 0.9259259259259259,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "8",
@@ -618,7 +754,9 @@
     "c_boundary": 8,
     "edge_density": 1.0,
     "degree_density": 0.5,
-    "conductance": 0.8
+    "conductance": 0.8,
+    "mincut": 1,
+    "mincut_over_log10n": 3.321928094887362
   },
   {
     "com_id": "9",
@@ -627,6 +765,8 @@
     "c_boundary": 22,
     "edge_density": 0.6666666666666666,
     "degree_density": 0.6666666666666666,
-    "conductance": 0.8461538461538461
+    "conductance": 0.8461538461538461,
+    "mincut": 1,
+    "mincut_over_log10n": 2.095903274289385
   }
 ]
\ No newline at end of file
diff --git a/results/stats/polblogs/ground_truth/mixing_params.json b/results/stats/polblogs/ground_truth/mixing_params.json
index 49a2502..db93a7b 100644
--- a/results/stats/polblogs/ground_truth/mixing_params.json
+++ b/results/stats/polblogs/ground_truth/mixing_params.json
@@ -1 +1 @@
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\ No newline at end of file