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The 15-D analytical Gaussian is being implemented on this [branch](https://git.ligo.org/lscsoft/bilby/merge_requests/547).
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The 15-D analytical Gaussian is being implemented on this [branch]![multidim_gaussian_unimodal_corner](uploads/7902cf40b6ec19b9dd16455972fdf50e/multidim_gaussian_unimodal_corner.png)(https://git.ligo.org/lscsoft/bilby/merge_requests/547).
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To do:
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* [ ] Add this to the review script
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* [ ] Add bimodal Gaussian
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* [x ] Add bimodal Gaussian
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Unimodal distribution:
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```
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16:27 bilby INFO : Running bilby version: 0.5.1: (UNCLEAN) adead7c2 2019-06-18 10:51:29 +1000
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16:27 bilby INFO : Analytic log evidence: -65.7303995201082
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16:27 bilby INFO : Sampled log evidence: -65.35319877512242
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16:27 bilby INFO : x0
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16:27 bilby INFO : Expected posterior standard deviation: 0.21445714241587377
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16:27 bilby INFO : Sampled posterior standard deviation: 0.21366684061767185
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16:27 bilby INFO : x1
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16:27 bilby INFO : Expected posterior standard deviation: 0.23406495738756009
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16:27 bilby INFO : Sampled posterior standard deviation: 0.23371669001325823
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16:27 bilby INFO : x2
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16:27 bilby INFO : Expected posterior standard deviation: 0.21053433070089667
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16:27 bilby INFO : Sampled posterior standard deviation: 0.21078014666736486
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16:27 bilby INFO : x3
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16:27 bilby INFO : Expected posterior standard deviation: 0.17280434626400767
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16:27 bilby INFO : Sampled posterior standard deviation: 0.17339129422166458
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16:27 bilby INFO : x4
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16:27 bilby INFO : Expected posterior standard deviation: 0.2320352145346266
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16:27 bilby INFO : Sampled posterior standard deviation: 0.23247292713707587
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16:27 bilby INFO : x5
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16:27 bilby INFO : Expected posterior standard deviation: 0.2091567812284964
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2101101559182435
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16:27 bilby INFO : x6
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16:27 bilby INFO : Expected posterior standard deviation: 0.19143099949672157
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16:27 bilby INFO : Sampled posterior standard deviation: 0.19401568825966908
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16:27 bilby INFO : x7
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16:27 bilby INFO : Expected posterior standard deviation: 0.24027956023783628
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2424926870026124
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16:27 bilby INFO : x8
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16:27 bilby INFO : Expected posterior standard deviation: 0.2147247079161986
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2156762143514083
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16:27 bilby INFO : x9
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16:27 bilby INFO : Expected posterior standard deviation: 0.2430869196930184
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2394536186462992
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16:27 bilby INFO : x10
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16:27 bilby INFO : Expected posterior standard deviation: 0.15626169000243328
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16:27 bilby INFO : Sampled posterior standard deviation: 0.1563118105596642
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16:27 bilby INFO : x11
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16:27 bilby INFO : Expected posterior standard deviation: 0.21822850109015837
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2194970870194716
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16:27 bilby INFO : x12
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16:27 bilby INFO : Expected posterior standard deviation: 0.20649445141804712
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16:27 bilby INFO : Sampled posterior standard deviation: 0.20442598632820977
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16:27 bilby INFO : x13
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16:27 bilby INFO : Expected posterior standard deviation: 0.2290174707003685
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2278306161142469
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16:27 bilby INFO : x14
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16:27 bilby INFO : Expected posterior standard deviation: 0.23196955226413352
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16:27 bilby INFO : Sampled posterior standard deviation: 0.2330572429318982s
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09:27 bilby INFO : Analytic log evidence: -34.53877639491069
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09:27 bilby INFO : Sampled log evidence: -34.28736207565682 +/- 0.19721688249742667
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09:27 bilby INFO : x0
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09:27 bilby INFO : Expected posterior standard deviation: 0.21445714241587377
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09:27 bilby INFO : Sampled posterior standard deviation: 0.217231388383747
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09:27 bilby INFO : x1
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09:27 bilby INFO : Expected posterior standard deviation: 0.23406495738756009
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09:27 bilby INFO : Sampled posterior standard deviation: 0.23561448955248837
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09:27 bilby INFO : x2
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09:27 bilby INFO : Expected posterior standard deviation: 0.21053433070089667
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09:27 bilby INFO : Sampled posterior standard deviation: 0.209899237086974
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09:27 bilby INFO : x3
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09:27 bilby INFO : Expected posterior standard deviation: 0.17280434626400767
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09:27 bilby INFO : Sampled posterior standard deviation: 0.17274250124134846
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09:27 bilby INFO : x4
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09:27 bilby INFO : Expected posterior standard deviation: 0.2320352145346266
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09:27 bilby INFO : Sampled posterior standard deviation: 0.23213131111342167
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09:27 bilby INFO : x5
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09:27 bilby INFO : Expected posterior standard deviation: 0.2091567812284964
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09:27 bilby INFO : Sampled posterior standard deviation: 0.20621315975499444
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09:27 bilby INFO : x6
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09:27 bilby INFO : Expected posterior standard deviation: 0.19143099949672157
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09:27 bilby INFO : Sampled posterior standard deviation: 0.19260546804828244
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09:27 bilby INFO : x7
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09:27 bilby INFO : Expected posterior standard deviation: 0.24027956023783628
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09:27 bilby INFO : Sampled posterior standard deviation: 0.23705379247129021
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09:27 bilby INFO : x8
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09:27 bilby INFO : Expected posterior standard deviation: 0.2147247079161986
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09:27 bilby INFO : Sampled posterior standard deviation: 0.21572375066501234
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09:27 bilby INFO : x9
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09:27 bilby INFO : Expected posterior standard deviation: 0.2430869196930184
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09:27 bilby INFO : Sampled posterior standard deviation: 0.2461813842165372
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09:27 bilby INFO : x10
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09:27 bilby INFO : Expected posterior standard deviation: 0.15626169000243328
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09:27 bilby INFO : Sampled posterior standard deviation: 0.15464607798704444
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09:27 bilby INFO : x11
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09:27 bilby INFO : Expected posterior standard deviation: 0.21822850109015837
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09:27 bilby INFO : Sampled posterior standard deviation: 0.21956694664810278
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09:27 bilby INFO : x12
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09:27 bilby INFO : Expected posterior standard deviation: 0.20649445141804712
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09:27 bilby INFO : Sampled posterior standard deviation: 0.20982444391260122
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09:27 bilby INFO : x13
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09:27 bilby INFO : Expected posterior standard deviation: 0.2290174707003685
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09:27 bilby INFO : Sampled posterior standard deviation: 0.22789820117469411
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09:27 bilby INFO : x14
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09:27 bilby INFO : Expected posterior standard deviation: 0.23196955226413352
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09:27 bilby INFO : Sampled posterior standard deviation: 0.23451333745242517
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09:27 bilby INFO : Analytic log evidence: -34.53877639491069
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09:27 bilby INFO : Sampled log evidence: -34.13251361133434 +/- 0.1952942381908463
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```
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Bimodal distribution:
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```
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09:27 bilby INFO : x0
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.21445714241587377
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.21970334771506136
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.21497526076962373
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09:27 bilby INFO : x1
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.23406495738756009
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.2359553010597719
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.23260647731460615
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09:27 bilby INFO : x2
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.21053433070089667
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.21450461528002307
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.20933004788552784
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09:27 bilby INFO : x3
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.17280434626400767
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.17320985350478724
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.17213427526298586
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09:27 bilby INFO : x4
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.2320352145346266
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.2351962728603326
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.22635522117055756
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09:27 bilby INFO : x5
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.2091567812284964
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.2113918325612163
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.207233765320099
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09:27 bilby INFO : x6
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.19143099949672157
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.19584762993869573
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.18755053736151464
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09:27 bilby INFO : x7
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.24027956023783628
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.24426901012534488
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.2393038814432799
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09:27 bilby INFO : x8
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.2147247079161986
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.21892066011255445
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.21395785796286826
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09:27 bilby INFO : x9
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.2430869196930184
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.248508592621802
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.2397239188618564
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09:27 bilby INFO : x10
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.15626169000243328
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.15732222654745634
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.1562944828170343
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09:27 bilby INFO : x11
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.21822850109015837
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.22645320807218292
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.2189360815005306
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09:27 bilby INFO : x12
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.20649445141804712
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.2115837168583208
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.20622644598149525
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09:27 bilby INFO : x13
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.2290174707003685
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.2309004777267608
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.22888508049824224
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09:27 bilby INFO : x14
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09:27 bilby INFO : Expected posterior standard deviation both modes: 0.23196955226413352
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09:27 bilby INFO : Sampled posterior standard deviation first mode: 0.23387124929542796
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09:27 bilby INFO : Sampled posterior standard deviation second mode: 0.22648891183830994```
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# Unimodal distribution
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## Traceplot
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![multidim_gaussian_unimodal_checkpoint_trace](uploads/b01b49ffc1ff5690b1cbfd09c6ad14ee/multidim_gaussian_unimodal_checkpoint_trace.png)
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## Corner plot
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![multidim_gaussian_unimodal_corner](uploads/93034e233e6bf3766b4b0386ab010f0c/multidim_gaussian_unimodal_corner.png)![multidim_gaussian_unimodal_checkpoint_trace](uploads/b230f09d34b33e1875a401d299a6422b/multidim_gaussian_unimodal_checkpoint_trace.png)
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![multidim_gaussian_checkpoint_trace](uploads/34d79d9c62671a7c929032de37b3d79f/multidim_gaussian_checkpoint_trace.png)
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![multidim_gaussian_corner](uploads/bd73d10d6987e2823c25af4c24ae90d9/multidim_gaussian_corner.png) |
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# Bimodal distribution
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## Traceplot
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![multidim_gaussian_bimodal_checkpoint_trace](uploads/d27210532becee5314c8001ed3159890/multidim_gaussian_bimodal_checkpoint_trace.png)
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## Corner plot
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### Truth crosses centered on first mode
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![multidim_gaussian_bimodal_mode_1](uploads/288ff20b553041a212839950743607bf/multidim_gaussian_bimodal_mode_1.png)
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### Truth crosses centered on second mode
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![multidim_gaussian_bimodal_mode_2](uploads/1e4b6f7f95548ab31880eecc285985f0/multidim_gaussian_bimodal_mode_2.png) |