Description

The uai14 solvers are amalgam belief propagation based solvers created for the UAI-2014 competition by Alex Ihler. They begin by reparameterizing the model using loopy BP, then build a series of generalized BP reparameterizations whose outer regions are selected via mini-bucket, eventually transitioning, when there is much more time than memory to cutset conditioning of GBP approximations.

Authors

Alex Ihler

The results below are organized as follows:

  • each table displays the solver’s normalized score for individual problem instances (and the associated log10 likelihood value) for the given task under different time limits
  • table values are normalized scores for each evaluated problem as outlined in Evaluation Criteria

PR

overall

Problem 20sec 1200sec 3600sec
1a7w 100.0 (-1.0) 100.0 (-1.0) 100.0 (-1.0)
1aie 100.0 (2.8) 100.0 (2.8) 100.0 (2.8)
1b2v 100.0 (-53.4) 100.0 (-53.4) 100.0 (-53.4)
1bxv 100.0 (-9.7) 100.0 (-9.7) 100.0 (-9.7)
1cpq 100.0 (-21.7) 100.0 (-21.7) 100.0 (-21.7)
1ctj 100.0 (-13.3) 100.0 (-13.3) 100.0 (-13.3)
1cxy 100.0 (-38.0) 100.0 (-38.0) 100.0 (-38.0)
1f94 100.0 (-61.4) 100.0 (-61.4) 100.0 (-61.4)
1fas 100.0 (-33.3) 100.0 (-33.3) 100.0 (-33.3)
1g6x 100.0 (-27.2) 100.0 (-27.2) 100.0 (-27.2)
1jer 100.0 (-31.5) 100.0 (-31.5) 100.0 (-31.5)
1kp6 100.0 (-45.1) 100.0 (-45.1) 100.0 (-45.1)
1nkd 100.0 (-8.8) 100.0 (-8.8) 100.0 (-8.8)
1npl 100.0 (-42.9) 100.0 (-42.9) 100.0 (-42.9)
1qt9 100.0 (-59.7) 100.0 (-59.7) 100.0 (-59.7)
1rfs 100.0 (-50.6) 100.0 (-50.6) 100.0 (-50.6)
1svy 100.0 (-38.6) 100.0 (-38.6) 100.0 (-38.6)
1vfy 100.0 (-20.1) 100.0 (-20.1) 100.0 (-20.1)
2rta 100.0 (-55.2) 100.0 (-55.2) 100.0 (-55.2)
BN_12 100.0 (-3.6) 100.0 (-3.6) 100.0 (-3.6)
BN_13 100.0 (-2.3) 100.0 (-2.3) 100.0 (-2.3)
BN_15 100.0 (-5.7) 100.0 (-5.7) 100.0 (-5.7)
BN_31 100.0 (-11.0) 100.0 (-11.0) 100.0 (-11.0)
BN_74 100.0 (0.0) 100.0 (0.0) 100.0 (0.0)
blockmap_10_01-0006 74.3 (23.5) 100.0 (-1.0) 100.0 (-1.0)
blockmap_10_01-0009 0.0 (5.6) 100.0 (-1.0) 100.0 (-1.0)
blockmap_10_02-0009 40.1 (6.2) 100.0 (-2.2) 100.0 (-2.2)
blockmap_10_03-0009 0.0 (0.5) 100.0 (-3.2) 100.0 (-3.2)
blockmap_10_03-0010 11.2 (7.3) 100.0 (-2.9) 100.0 (-2.9)
blockmap_15_01-0008 0.0 (111.1) 100.0 (-1.2) 100.0 (-1.2)
blockmap_15_02-0008 0.0 (55.0) 100.0 (-2.4) 100.0 (-2.4)
blockmap_15_03-0008 0.0 (300.0) 91.7 (-0.5) 91.7 (-0.5)
blockmap_15_03-0010 0.0 (160.5) 100.0 (-3.1) 100.0 (-3.1)
blockmap_20_01-0009 0.0 (39.5) 100.0 (-1.3) 100.0 (-1.3)
blockmap_20_02-0009 0.0 (690.4) 0.0 (482.0) 0.0 (168.0)
blockmap_20_03-0010 0.0 (610.9) 0.0 (323.4) 0.0 (131.2)
blockmap_22_01-0006 0.0 (807.5) 0.0 (539.7) 0.0 (449.1)
blockmap_22_03-0009 0.0 (-76.6) 0.0 (-208.2) 0.0 (-242.5)
bwt3ac.wcsp 99.6 (-0.0) 100.0 (0.0) 100.0 (0.0)
fs-07 100.0 (-14.8) 100.0 (-14.8) 100.0 (-14.8)
mastermind_03_08_04-0000 100.0 (0.0) 100.0 (0.0) 100.0 (0.0)
mastermind_03_08_04-0001 100.0 (-12.7) 100.0 (-12.7) 100.0 (-12.7)
mastermind_03_08_04-0002 100.0 (-14.5) 100.0 (-14.5) 100.0 (-14.5)
mastermind_03_08_04-0003 100.0 (-11.5) 100.0 (-11.5) 100.0 (-11.5)
mastermind_03_08_04-0007 100.0 (-16.6) 100.0 (-16.6) 100.0 (-16.6)
mastermind_03_08_04-0008 100.0 (-16.3) 100.0 (-16.3) 100.0 (-16.3)
mastermind_03_08_04-0010 99.6 (-15.2) 100.0 (-14.5) 100.0 (-14.5)
mastermind_03_08_04-0011 99.4 (-11.3) 96.3 (-0.8) 90.9 (12.5)
mastermind_03_08_04-0012 99.7 (-8.9) 90.5 (15.0) 96.3 (0.9)
mastermind_03_08_04-0013 99.4 (-10.1) 99.0 (-6.3) 99.2 (-6.6)
mastermind_03_08_04-0014 99.7 (-9.6) 99.8 (-8.5) 92.1 (10.3)
mastermind_03_08_04-0015 99.7 (-8.8) 99.6 (-7.2) 99.6 (-7.0)
mastermind_03_08_05-0000 100.0 (-0.0) 100.0 (-0.0) 100.0 (0.0)
mastermind_03_08_05-0001 100.0 (-15.4) 100.0 (-15.4) 100.0 (-15.4)
mastermind_03_08_05-0003 100.0 (-15.1) 100.0 (-15.1) 100.0 (-15.1)
mastermind_03_08_05-0004 100.0 (-14.2) 100.0 (-14.2) 100.0 (-14.3)
mastermind_03_08_05-0008 99.9 (-14.3) 100.0 (-14.6) 100.0 (-14.6)
mastermind_03_08_05-0009 86.4 (-14.8) 100.0 (-21.5) 100.0 (-21.5)
mastermind_03_08_05-0011 98.6 (-15.9) 98.7 (-5.0) 93.3 (16.8)
mastermind_03_08_05-0012 98.7 (-14.6) 99.9 (-9.6) 99.9 (-9.5)
mastermind_03_08_05-0013 98.9 (-13.5) 99.8 (-8.0) 99.8 (-8.1)
mastermind_03_08_05-0014 99.2 (-12.5) 98.4 (-2.5) 98.0 (-1.2)
mastermind_03_08_05-0015 98.9 (-14.3) 99.4 (-7.8) 98.7 (-4.9)
mastermind_04_08_03-0000 100.0 (-0.0) 100.0 (-0.0) 100.0 (-0.0)
mastermind_04_08_03-0011 99.8 (-5.0) 100.0 (-4.7) 100.0 (-4.7)
mastermind_04_08_03-0012 99.9 (-6.1) 100.0 (-6.0) 100.0 (-6.0)
mastermind_04_08_03-0013 99.9 (-7.3) 100.0 (-7.2) 100.0 (-7.2)
mastermind_04_08_03-0014 99.6 (-7.0) 100.0 (-6.5) 100.0 (-6.5)
mastermind_04_08_03-0015 99.9 (-7.2) 100.0 (-7.1) 100.0 (-7.1)
mastermind_04_08_04-0000 100.0 (0.1) 100.0 (0.0) 100.0 (0.0)
mastermind_04_08_04-0001 100.0 (-11.7) 100.0 (-11.7) 100.0 (-11.7)
mastermind_04_08_04-0002 100.0 (-12.1) 100.0 (-12.1) 100.0 (-12.1)
mastermind_04_08_04-0003 100.0 (-13.6) 100.0 (-13.6) 100.0 (-13.6)
mastermind_04_08_04-0004 100.0 (-11.2) 100.0 (-11.2) 100.0 (-11.2)
mastermind_04_08_04-0005 100.0 (-15.9) 100.0 (-15.9) 100.0 (-15.9)
mastermind_04_08_04-0011 99.3 (-10.3) 99.7 (-7.6) 98.8 (-5.2)
mastermind_04_08_04-0012 99.7 (-8.7) 93.6 (9.0) 94.3 (7.3)
mastermind_04_08_04-0013 98.8 (-10.3) 99.5 (-5.9) 98.8 (-4.0)
mastermind_04_08_04-0014 99.3 (-10.6) 99.9 (-8.5) 96.9 (-0.6)
mastermind_04_08_04-0015 99.0 (-10.3) 99.9 (-8.0) 99.9 (-8.1)
mastermind_05_08_03-0000 100.0 (0.0) 100.0 (0.0) 100.0 (0.0)
mastermind_05_08_03-0001 100.0 (-9.8) 100.0 (-9.8) 100.0 (-9.8)
mastermind_05_08_03-0002 100.0 (-12.2) 100.0 (-12.2) 100.0 (-12.2)
mastermind_05_08_03-0003 100.0 (-8.6) 100.0 (-8.6) 100.0 (-8.6)
mastermind_05_08_03-0004 100.0 (-11.6) 100.0 (-11.6) 100.0 (-11.6)
mastermind_05_08_03-0009 99.7 (-8.3) 100.0 (-8.0) 100.0 (-8.0)
mastermind_05_08_03-0011 99.9 (-6.3) 99.9 (-6.2) 100.0 (-6.2)
mastermind_05_08_03-0012 99.9 (-7.8) 100.0 (-7.6) 100.0 (-7.6)
mastermind_05_08_03-0013 99.8 (-6.3) 99.8 (-6.2) 100.0 (-6.6)
mastermind_05_08_03-0014 99.9 (-4.8) 100.0 (-4.9) 100.0 (-4.9)
mastermind_05_08_03-0015 99.9 (-6.1) 100.0 (-6.2) 100.0 (-6.3)
mastermind_06_08_03-0000 100.0 (-0.0) 100.0 (0.0) 100.0 (-0.0)
mastermind_06_08_03-0001 100.0 (-12.6) 100.0 (-12.6) 100.0 (-12.6)
mastermind_06_08_03-0002 100.0 (-10.5) 100.0 (-10.5) 100.0 (-10.5)
mastermind_06_08_03-0003 100.0 (-11.2) 100.0 (-11.2) 100.0 (-11.2)
mastermind_06_08_03-0005 100.0 (-11.9) 100.0 (-11.9) 100.0 (-11.9)
mastermind_06_08_03-0009 99.9 (-8.5) 100.0 (-8.3) 100.0 (-8.4)
mastermind_06_08_03-0011 99.1 (-6.1) 99.4 (-5.6) 99.7 (-5.2)
mastermind_06_08_03-0012 100.0 (-5.8) 99.9 (-5.8) 99.9 (-5.8)
mastermind_06_08_03-0014 99.9 (-6.2) 99.9 (-6.2) 99.9 (-6.2)
mastermind_06_08_03-0015 99.9 (-7.6) 99.9 (-7.7) 99.9 (-7.6)
mastermind_10_08_03-0001 100.0 (-13.6) 100.0 (-13.6) 100.0 (-13.6)
mastermind_10_08_03-0003 100.0 (-15.5) 100.0 (-15.6) 100.0 (-15.5)
mastermind_10_08_03-0004 100.0 (-16.5) 100.0 (-16.5) 100.0 (-16.5)
mastermind_10_08_03-0008 79.0 (-25.3) 100.0 (-23.2) 100.0 (-23.2)
mastermind_10_08_03-0009 89.7 (-21.5) 89.0 (-21.7) 89.0 (-21.7)
mastermind_10_08_03-0010 99.9 (-10.1) 99.8 (-9.9) 99.8 (-9.9)
myciel5g_3.wcsp 75.7 (-42.9) 94.6 (-57.2) 94.6 (-57.2)
myciel5g_4.wcsp 59.4 (4.4) 50.7 (7.0) 50.8 (7.0)
or_chain_1.fg 92.2 (-11.2) 93.1 (-11.2) 93.0 (-11.2)
or_chain_102.fg 90.6 (-10.5) 92.6 (-10.4) 91.6 (-10.5)
or_chain_106.fg 93.0 (-10.5) 93.7 (-10.5) 94.8 (-10.4)
or_chain_107.fg 97.0 (-11.8) 97.7 (-11.7) 99.4 (-11.6)
or_chain_12.fg 93.8 (-12.7) 95.5 (-12.6) 95.8 (-12.5)
or_chain_128.fg 93.8 (-11.4) 96.4 (-11.2) 96.2 (-11.2)
or_chain_132.fg 100.0 (-8.4) 100.0 (-8.4) 100.0 (-8.4)
or_chain_138.fg 100.0 (-10.1) 100.0 (-10.1) 100.0 (-10.1)
or_chain_140.fg 88.7 (-6.2) 93.9 (-5.9) 91.7 (-6.0)
or_chain_149.fg 100.0 (-8.6) 100.0 (-8.6) 100.0 (-8.6)
or_chain_15.fg 99.7 (-11.9) 99.8 (-11.9) 99.9 (-11.9)
or_chain_150.fg 97.2 (-7.4) 99.5 (-7.3) 99.6 (-7.3)
or_chain_153.fg 95.9 (-9.0) 99.4 (-8.7) 100.0 (-8.7)
or_chain_155.fg 100.0 (-10.0) 99.9 (-9.9) 100.0 (-10.0)
or_chain_161.fg 97.3 (-9.4) 99.7 (-9.3) 100.0 (-9.2)
or_chain_186.fg 97.3 (-9.6) 99.1 (-9.5) 100.0 (-9.5)
or_chain_188.fg 99.2 (-12.4) 100.0 (-12.3) 100.0 (-12.3)
or_chain_198.fg 99.9 (-4.3) 100.0 (-4.3) 100.0 (-4.3)
or_chain_209.fg 98.9 (-11.5) 100.0 (-11.5) 100.0 (-11.5)
or_chain_242.fg 98.9 (-5.4) 98.9 (-5.4) 100.0 (-5.4)
or_chain_4.fg 97.1 (-11.9) 99.5 (-11.8) 98.6 (-11.6)
or_chain_53.fg 100.0 (-9.2) 100.0 (-9.2) 100.0 (-9.2)
or_chain_61.fg 97.1 (-8.2) 97.2 (-8.2) 97.1 (-8.2)
or_chain_64.fg 93.5 (-9.3) 100.0 (-8.8) 100.0 (-8.8)
or_chain_90.fg 88.8 (-9.3) 95.3 (-8.8) 95.3 (-8.8)
pedigree51 96.0 (-74.5) 94.6 (-73.6) 95.1 (-73.9)
queen5_5_3.wcsp 79.8 (-88.7) 99.9 (-113.1) 100.0 (-113.0)
queen5_5_4.wcsp 64.7 (-25.3) 83.4 (-36.1) 83.4 (-36.1)
rus2_20_40_0_1 0.0 (309.0) 100.0 (106.9) 99.9 (106.9)
rus2_20_40_0_2 0.0 (318.0) 100.0 (120.6) 99.9 (120.7)
rus2_20_40_0_3 0.0 (276.2) 100.0 (88.2) 100.0 (88.2)
rus2_20_40_1_1 0.0 (289.2) 100.0 (107.4) 100.0 (107.4)
rus2_20_40_1_2 0.0 (248.4) 100.0 (104.5) 100.0 (104.5)
rus2_20_40_1_3 0.0 (260.4) 99.9 (101.7) 99.9 (101.7)
rus2_20_40_2_1 0.0 (288.6) 99.3 (119.7) 99.7 (119.4)
rus2_20_40_2_2 0.0 (318.0) 98.8 (119.2) 100.0 (118.6)
rus2_20_40_2_3 0.0 (323.5) 99.8 (112.6) 97.6 (110.9)
rus2_20_40_3_1 0.0 (283.7) 100.0 (110.2) 99.3 (109.7)
rus2_20_40_3_2 0.0 (320.2) 97.6 (139.7) 97.6 (139.6)
rus2_20_40_3_3 0.0 (311.1) 99.1 (124.1) 99.3 (123.1)
rus2_20_40_4_1 0.0 (250.0) 100.0 (99.2) 100.0 (99.2)
rus2_20_40_4_2 0.0 (346.9) 100.0 (107.1) 100.0 (107.1)
rus2_20_40_4_3 0.0 (287.4) 100.0 (95.2) 100.0 (95.2)
rus2_20_40_5_1 0.0 (238.3) 94.7 (92.3) 91.2 (90.3)
rus2_20_40_5_2 0.0 (223.8) 98.8 (89.2) 99.8 (88.5)
rus2_20_40_5_3 0.0 (298.2) 100.0 (169.9) 100.0 (169.9)
rus2_20_40_6_1 0.0 (307.9) 95.3 (116.1) 95.2 (116.1)
rus2_20_40_6_2 0.0 (283.7) 100.0 (68.4) 100.0 (68.4)
rus2_20_40_6_3 0.0 (345.4) 100.0 (134.1) 100.0 (134.1)
rus2_20_40_7_1 0.0 (285.3) 100.0 (88.5) 99.9 (88.5)
rus2_20_40_7_2 0.0 (245.2) 100.0 (111.5) 100.0 (111.5)
rus2_20_40_7_3 0.0 (261.1) 100.0 (81.4) 100.0 (81.4)
rus2_20_40_8_1 0.0 (330.5) 100.0 (106.9) 95.1 (103.4)
rus2_20_40_8_2 0.0 (326.2) 99.9 (99.9) 99.9 (99.8)
rus2_20_40_8_3 0.0 (399.2) 99.5 (100.9) 100.0 (100.6)
rus2_20_40_9_1 0.0 (274.0) 100.0 (94.5) 100.0 (94.5)
rus2_20_40_9_2 0.0 (306.3) 100.0 (94.6) 100.0 (94.6)
rus2_20_40_9_3 0.0 (302.3) 99.9 (63.5) 99.9 (63.6)
rus_20_40_0_1 0.0 (2460.3) 100.0 (617.3) 100.0 (617.3)
rus_20_40_0_2 0.0 (2444.7) 100.0 (791.6) 100.0 (791.6)
rus_20_40_0_3 0.0 (2451.4) 100.0 (903.0) 96.5 (896.2)
rus_20_40_1_1 0.0 (2431.7) 100.0 (1004.6) 99.5 (1003.8)
rus_20_40_1_2 0.0 (2423.0) 94.7 (920.2) 100.0 (910.1)
rus_20_40_1_3 0.0 (2449.3) 95.9 (892.7) 98.1 (896.8)
rus_20_40_2_1 0.0 (2440.0) 94.9 (807.8) 99.6 (797.0)
rus_20_40_2_2 0.0 (2462.3) 99.5 (688.3) 100.0 (689.3)
rus_20_40_2_3 0.0 (2483.3) 100.0 (749.3) 100.0 (749.3)
rus_20_40_3_1 0.0 (2463.3) 99.6 (825.1) 100.0 (825.8)
rus_20_40_3_2 0.0 (2467.5) 99.8 (838.6) 99.9 (838.8)
rus_20_40_3_3 0.0 (2475.0) 99.8 (841.5) 99.9 (841.7)
rus_20_40_4_1 0.0 (2474.3) 100.0 (931.5) 95.2 (922.7)
rus_20_40_4_2 0.0 (2426.5) 99.3 (934.4) 99.3 (934.4)
rus_20_40_4_3 0.0 (2427.9) 91.1 (871.1) 96.2 (845.6)
rus_20_40_5_1 0.0 (2484.6) 99.8 (875.5) 99.9 (875.7)
rus_20_40_5_2 0.0 (2422.6) 100.0 (839.7) 100.0 (839.7)
rus_20_40_5_3 0.0 (2424.4) 98.5 (878.8) 98.5 (878.8)
rus_20_40_6_1 0.0 (2465.4) 99.2 (725.6) 99.9 (723.6)
rus_20_40_6_2 0.0 (2425.2) 100.0 (982.4) 99.5 (981.6)
rus_20_40_6_3 0.0 (2436.3) 96.7 (960.6) 100.0 (966.7)
rus_20_40_7_1 0.0 (2408.4) 98.6 (754.8) 100.0 (752.1)
rus_20_40_7_2 0.0 (2435.3) 99.4 (755.0) 99.4 (755.0)
rus_20_40_7_3 0.0 (2468.7) 100.0 (869.7) 100.0 (869.7)
rus_20_40_8_1 0.0 (2474.1) 99.4 (725.6) 98.6 (729.8)
rus_20_40_8_2 0.0 (2439.9) 100.0 (898.6) 99.6 (897.8)
rus_20_40_8_3 0.0 (2468.2) 98.9 (701.8) 100.0 (703.8)
rus_20_40_9_1 0.0 (2458.6) 99.2 (868.1) 90.5 (849.4)
rus_20_40_9_2 0.0 (2479.3) 94.9 (823.8) 100.0 (834.5)
rus_20_40_9_3 0.0 (2404.9) 94.7 (874.0) 99.6 (863.2)

Updated: