From a3458401c541b0f253741d403713a63b8a010655 Mon Sep 17 00:00:00 2001 From: criscuol <alexis.criscuolo@pasteur.fr> Date: Wed, 3 Jun 2020 18:43:49 +0200 Subject: [PATCH] 0.21b --- README.md | 31 +- example/clust.txt | 840 +++++++++++++++++++++++----------------------- example/plot.png | Bin 36651 -> 29263 bytes 3 files changed, 446 insertions(+), 425 deletions(-) diff --git a/README.md b/README.md index 37bcb85..f75ef97 100644 --- a/README.md +++ b/README.md @@ -172,7 +172,7 @@ nAUC aWallace2 0.999118 [0.996141 , 1.000000] The clustering based on the cutoff 0.007 seems robust to data subsampling, as the three estimated nAUC are quite high (e.g. > 0.75). However, the same clustering seems less robust to data perturbation, as the 2.5% CI are quite small for the silhouette and the first Wallace coefficient, e.g. < 0.4. -**Searching for optimal clustering** +**Searching for optimal clustering(s)** An optimal MST-based clustering can be defined by the cutoff value that maximizes the different estimated statistics. By considering every branch length from the minimum spanning tree in _data.graphml_ (see above) as a putative cutoff, _MSTclust_ can be used to display in standard output these statistics in a convenient tab-delimited format (option `-t`): @@ -180,18 +180,37 @@ By considering every branch length from the minimum spanning tree in _data.graph grep "data" data.graphml | awk -F '[<>]' '{print$3}' | sort -g | uniq | while read c ; do MSTclust -i data.d -o out -c $c -L 2038 -B 9 -t ; done 2>/dev/null ``` -After observing the different outputted statistics (not shown), it seems that an optimal clustering can be obtained using -0.016691213 as cutoff. +After observing the different outputted statistics (not shown), it seems that an optimal clustering can be obtained using a cutoff between 0.010060363 (approx. 20/2038) and 0.048804782 (approx. 100/2038). +_MSTclust_ can be used again to display the statistics associated to the clustering built from each of these cutoff: +```bash +for i in {20..100} +do + c=0$(bc<<<"scale=9;$i/2038"); MSTclust -i data.d -o out -c $c -L 2038 -B 9 -t ; +done 2>/dev/null +``` +This second set of tab-delimited statistics (not shown) demonstrates that using 0.03581943 as cutoff yields an optimal MST-based clustering (i.e. that maximizes all statistics derived from data perturbation and subsampling analyses). This can be summarized using the following command line: ```bash -MSTclust -i data.d -o clust -c 0.016691213 -L 2038 -B 9 -t 2>&1 | tail -2 +MSTclust -i data.d -o clust -c 0.03581943 -L 2038 -B 9 -t 2>&1 | tail -2 +``` +This will output: +``` +n c k silhouette noise silhouette [low avg up] noise aWallace1 [low avg up] noise aWallace2 [low avg up] nAUC silhouette [low avg up] nAUC aWallace1 [low avg up] nAUC aWallace2 [low avg up] +413 0.035819430 2 0.889605 0.851100 0.892771 0.923340 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 0.747542 0.894428 0.952076 1.000000 1.000000 1.000000 1.000000 0.997500 1.000000 +``` + +Of note, previous analyses also show that the cutoff value 0.016192345 leads to a clear local optimum between 0.009813542 (20/2038) and 0.049067713 (100/2048). +In consequence, the corresponding MST-based clustering can be also considered if the number of classes obtained from the optimal one (i.e. _k_ = 2, see above) is found to be too small. +This second clustering can be summarized using the following command line: +```bash +MSTclust -i data.d -o clust -c 0.016192345 -L 2038 -B 9 -t 2>&1 | tail -2 ``` This will output: ``` n c k silhouette noise silhouette [low avg up] noise aWallace1 [low avg up] noise aWallace2 [low avg up] nAUC silhouette [low avg up] nAUC aWallace1 [low avg up] nAUC aWallace2 [low avg up] -413 0.016691213 3 0.829778 0.763112 0.838848 0.918818 0.444911 0.977796 1.000000 0.998107 0.999338 1.000000 0.825384 0.899548 0.938995 1.000000 1.000000 1.000000 0.828055 0.978866 1.000000 +413 0.016192345 4 0.822087 0.739681 0.828704 0.904527 0.998107 0.993513 1.000000 1.000000 1.000000 1.000000 0.869052 0.903598 0.936799 1.000000 1.000000 1.000000 0.775950 0.970570 1.000000 ``` -Details of the corresponding clustering (3 classes) is written into file _clust.txt_ (available in _example/_). +Details of the corresponding clustering (_k_ = 4 classes) is written into file _clust.txt_ (available in _example/_). A silhouette plot can be easily drawn using the output of the following command line on _clust.txt_: ```bash grep -F " s=" clust.txt | sed 's/ s=//' | sed 1d diff --git a/example/clust.txt b/example/clust.txt index b50479b..c3d9320 100644 --- a/example/clust.txt +++ b/example/clust.txt @@ -1,423 +1,425 @@ # n=413 -# c=0.01669121 -# k=3 -# s=0.82977824 +# c=0.01619235 +# k=4 +# s=0.82208711 -## cluster_1 n=402 s=0.83278240 -143 s=0.89825432 -85 s=0.89815314 -37 s=0.89815145 -74 s=0.89811303 -343 s=0.89792441 -86 s=0.89785800 -396 s=0.89541756 -298 s=0.89456357 -124 s=0.89423503 -378 s=0.89408981 -98 s=0.89394730 -170 s=0.89390835 -41 s=0.89390809 -334 s=0.88770005 -322 s=0.88763977 -336 s=0.88760053 -169 s=0.88760047 -401 s=0.88760031 -157 s=0.88759993 -151 s=0.88601817 -235 s=0.88600377 -340 s=0.88598133 -226 s=0.88586892 -144 s=0.88553706 -405 s=0.88528186 -181 s=0.88523413 -191 s=0.88509641 -253 s=0.88508710 -296 s=0.88505816 -16 s=0.88505004 -408 s=0.88498494 -282 s=0.88494903 -7 s=0.88491086 -276 s=0.88491082 -66 s=0.88487400 -208 s=0.88481098 -237 s=0.88480514 -39 s=0.88430297 -153 s=0.88411530 -72 s=0.88264892 -126 s=0.88204060 -140 s=0.88143228 -252 s=0.88136205 -67 s=0.88128918 -158 s=0.88121773 -99 s=0.88118281 -73 s=0.88118281 -163 s=0.88118193 -185 s=0.88114746 -200 s=0.88111037 -15 s=0.88111037 -12 s=0.88111037 -393 s=0.88103797 -115 s=0.87568758 -364 s=0.87532500 -407 s=0.87514509 -338 s=0.87511094 -177 s=0.87507125 -192 s=0.87499870 -283 s=0.87499782 -173 s=0.87485384 -387 s=0.87481860 -374 s=0.87478150 -194 s=0.87478082 -178 s=0.87470751 -161 s=0.87359261 -76 s=0.87357888 -132 s=0.87351307 -345 s=0.87316932 -399 s=0.87313918 -81 s=0.87310261 -375 s=0.87307435 -92 s=0.87303104 -274 s=0.87255919 -6 s=0.87249452 -230 s=0.87245748 -55 s=0.87244258 -409 s=0.87242326 -406 s=0.87242326 -370 s=0.87241431 -128 s=0.87241266 -206 s=0.87241252 -290 s=0.87238702 -127 s=0.87237623 -391 s=0.87234363 -344 s=0.87231243 -278 s=0.87231170 -272 s=0.87228193 -201 s=0.87227681 -245 s=0.87226769 -295 s=0.87223913 -82 s=0.87223112 -121 s=0.87220443 -137 s=0.87220420 -232 s=0.87220357 -270 s=0.87216656 -52 s=0.87216656 -31 s=0.87215535 -179 s=0.87209883 -10 s=0.87209628 -231 s=0.87209521 -175 s=0.87203458 -47 s=0.87178727 -17 s=0.87163787 -382 s=0.87161931 -347 s=0.87110186 -389 s=0.87105454 -83 s=0.87090626 -164 s=0.86998089 -101 s=0.86978062 -119 s=0.86978012 -404 s=0.86969943 -113 s=0.86969838 -400 s=0.86917035 -380 s=0.86910031 -168 s=0.86902814 -166 s=0.86892374 -381 s=0.86892243 -352 s=0.86888720 -139 s=0.86885197 -155 s=0.86885189 -109 s=0.86878288 -122 s=0.86878133 -183 s=0.86871211 -159 s=0.86871209 -104 s=0.86871080 -216 s=0.86857762 -196 s=0.86823079 -297 s=0.86703724 -330 s=0.86660966 -78 s=0.86657057 -331 s=0.86548614 -266 s=0.86373299 -149 s=0.86322457 -142 s=0.86272856 -49 s=0.86269319 -42 s=0.86262110 -213 s=0.86258008 -280 s=0.86254361 -267 s=0.86241688 -293 s=0.86233045 -165 s=0.86222207 -285 s=0.86195927 -152 s=0.86155977 -138 s=0.86118748 -333 s=0.86111735 -383 s=0.86111599 -277 s=0.86110932 -46 s=0.86079404 -79 s=0.86057596 -148 s=0.86021880 -33 s=0.86019292 -367 s=0.86017428 -281 s=0.86013522 -392 s=0.86011796 -359 s=0.86011254 -243 s=0.86004086 -335 s=0.85996651 -18 s=0.85996132 -105 s=0.85996084 -365 s=0.85993197 -112 s=0.85989825 -372 s=0.85988819 -339 s=0.85988819 -264 s=0.85987062 -90 s=0.85982600 -304 s=0.85976483 -302 s=0.85971821 -180 s=0.85971797 -221 s=0.85968328 -217 s=0.85957884 -204 s=0.85954408 -291 s=0.85950954 -96 s=0.85940198 -107 s=0.85901557 -110 s=0.85876651 -286 s=0.85858493 -244 s=0.85829192 -303 s=0.85822478 -64 s=0.85815688 -68 s=0.85814321 -254 s=0.85806914 -141 s=0.85801638 -354 s=0.85779538 -97 s=0.85777240 -114 s=0.85763390 -398 s=0.85756234 -388 s=0.85750140 -84 s=0.85697218 -203 s=0.85695166 -133 s=0.85679821 -123 s=0.85672995 -265 s=0.85163380 -225 s=0.85161286 -316 s=0.85142122 -25 s=0.85142112 -301 s=0.85139621 -320 s=0.85138558 -269 s=0.85138553 -321 s=0.85137460 -262 s=0.85074922 -260 s=0.85058498 -14 s=0.85051893 -215 s=0.85051385 -70 s=0.85044842 -58 s=0.85044842 -40 s=0.85044412 -385 s=0.85023382 -182 s=0.85012973 -292 s=0.85009299 -284 s=0.84988056 -329 s=0.84984652 -54 s=0.84984591 -8 s=0.84938597 -299 s=0.84929314 -195 s=0.84927013 -59 s=0.84893027 -273 s=0.84882479 -38 s=0.84879064 -75 s=0.84867535 -60 s=0.84864384 -246 s=0.84853303 -50 s=0.84850404 -162 s=0.84836231 -100 s=0.84832772 -44 s=0.84829549 -186 s=0.84816327 -210 s=0.84803842 -188 s=0.84800315 -56 s=0.84797376 -35 s=0.84794210 -207 s=0.84792141 -348 s=0.84790449 -289 s=0.84788846 -51 s=0.84743654 -11 s=0.84729519 -20 s=0.84675544 -350 s=0.84646689 -271 s=0.84576159 -69 s=0.84552037 -279 s=0.84541764 -361 s=0.84528200 -116 s=0.84524732 -147 s=0.84524613 -351 s=0.84517876 -187 s=0.84516535 -222 s=0.84510934 -288 s=0.84510903 -236 s=0.84489492 -174 s=0.84486905 -341 s=0.84003932 -323 s=0.83997345 -256 s=0.83990112 -318 s=0.83989680 -319 s=0.83986228 -317 s=0.83986228 -314 s=0.83977109 -184 s=0.83976077 -403 s=0.83965524 -229 s=0.83956283 -71 s=0.83955506 -250 s=0.83953735 -197 s=0.83875174 -306 s=0.83872536 -108 s=0.83865536 -263 s=0.83841422 -189 s=0.83824859 -145 s=0.83792224 -275 s=0.83786784 -120 s=0.83756081 -355 s=0.83753576 -287 s=0.83753495 -211 s=0.83750092 -346 s=0.83744383 -369 s=0.83742965 -356 s=0.83729554 -373 s=0.83671387 -62 s=0.83593853 -368 s=0.83589778 -88 s=0.83586696 -223 s=0.83508608 -77 s=0.83481174 -353 s=0.83475770 -357 s=0.83465939 -402 s=0.83458450 -134 s=0.83411138 -363 s=0.83383968 -160 s=0.83380661 -305 s=0.83353679 -255 s=0.83350269 -146 s=0.83343447 -219 s=0.83335839 -309 s=0.82905428 -313 s=0.82894967 -315 s=0.82868625 -308 s=0.82868625 -251 s=0.82852992 -248 s=0.82846167 -247 s=0.82846130 -23 s=0.82844604 -3 s=0.82837868 -257 s=0.82837739 -342 s=0.82833741 -312 s=0.82813618 -130 s=0.82800002 -234 s=0.82799453 -167 s=0.82796398 -36 s=0.82772334 -233 s=0.82765762 -48 s=0.82762442 -95 s=0.82708935 -227 s=0.82667815 -156 s=0.82643620 -61 s=0.82594375 -94 s=0.82594231 -397 s=0.82581265 -242 s=0.82547137 -371 s=0.82508870 -80 s=0.82477636 -193 s=0.82473934 -117 s=0.82429320 -135 s=0.82415146 -240 s=0.82407542 -258 s=0.82407338 -238 s=0.82400528 -205 s=0.82394608 -228 s=0.82362416 -45 s=0.82336730 -202 s=0.82224984 -63 s=0.82126097 -310 s=0.81835772 -307 s=0.81803689 -311 s=0.81792943 -214 s=0.81767199 -199 s=0.81741562 -241 s=0.81567181 -65 s=0.81544331 -172 s=0.81543692 -218 s=0.81543690 -377 s=0.81490001 -220 s=0.81486646 -395 s=0.81479891 -249 s=0.81458737 -13 s=0.81405246 -106 s=0.81374803 -22 s=0.81373053 -360 s=0.81322170 -136 s=0.81288298 -261 s=0.81287908 -102 s=0.81284974 -111 s=0.81275787 -198 s=0.81228949 -358 s=0.81159486 -259 s=0.81098264 -386 s=0.81075611 -24 s=0.80936262 -171 s=0.80639256 -154 s=0.80452136 -93 s=0.80445272 -376 s=0.80415445 -87 s=0.80411933 -190 s=0.80376578 -150 s=0.80154019 -212 s=0.80110144 -294 s=0.79617692 -125 s=0.79520744 -57 s=0.79316846 -89 s=0.79304017 -103 s=0.79234143 -384 s=0.79126037 -129 s=0.79106778 -43 s=0.78935000 -414 s=0.78534625 -91 s=0.78394775 -53 s=0.78361285 -366 s=0.78159332 -394 s=0.78097067 -379 s=0.77968901 -390 s=0.76884389 -26 s=0.74811280 -4 s=0.71702322 -131 s=0.69890047 -328 s=0.68702138 -30 s=0.68701967 -209 s=0.68670817 -2 s=0.66485392 -239 s=0.64841072 -411 s=0.62230583 -337 s=0.61921847 -176 s=0.61921768 -412 s=0.61529783 -325 s=0.51759181 -362 s=0.50438460 -27 s=0.47275294 -413 s=0.38401053 -349 s=0.37688457 -327 s=0.33924291 -332 s=0.31875402 -34 s=0.31348939 -32 s=0.30576043 -224 s=0.30412398 -118 s=0.27288434 +## cluster_1 n=2 s=0.97512282 +28 s=0.97527463 +21 s=0.97497102 -## cluster_2 n=5 s=0.82793797 -326 s=0.85681704 -1 s=0.83456644 -19 s=0.82185474 -410 s=0.81560084 -9 s=0.81085080 +## cluster_2 n=5 s=0.82492473 +326 s=0.85318993 +1 s=0.83225636 +19 s=0.81857605 +410 s=0.81212073 +9 s=0.80848059 -## cluster_3 n=6 s=0.63003300 -29 s=0.72546691 -324 s=0.72546498 -300 s=0.68082799 -268 s=0.61902163 -28 s=0.51521003 -21 s=0.51420649 +## cluster_3 n=402 s=0.82230651 +343 s=0.89160886 +143 s=0.89140390 +85 s=0.89129591 +37 s=0.89129410 +86 s=0.89125321 +74 s=0.89125309 +396 s=0.88968601 +298 s=0.88767608 +124 s=0.88732608 +378 s=0.88717137 +98 s=0.88701955 +170 s=0.88697805 +41 s=0.88697795 +334 s=0.88026518 +322 s=0.88018911 +169 s=0.88014720 +401 s=0.88014703 +336 s=0.88014689 +157 s=0.88014682 +151 s=0.87845998 +235 s=0.87843625 +340 s=0.87842069 +237 s=0.87838037 +226 s=0.87830083 +144 s=0.87794716 +405 s=0.87767503 +181 s=0.87762414 +208 s=0.87748017 +191 s=0.87747729 +253 s=0.87746736 +296 s=0.87743650 +16 s=0.87742785 +408 s=0.87735842 +282 s=0.87732013 +7 s=0.87727943 +276 s=0.87727939 +66 s=0.87724013 +153 s=0.87665634 +39 s=0.87651322 +72 s=0.87509538 +126 s=0.87444809 +140 s=0.87380062 +252 s=0.87372568 +393 s=0.87368855 +67 s=0.87364831 +158 s=0.87357226 +99 s=0.87353490 +73 s=0.87353490 +163 s=0.87353416 +185 s=0.87349747 +200 s=0.87345800 +15 s=0.87345800 +12 s=0.87345800 +115 s=0.86756724 +364 s=0.86718077 +407 s=0.86698890 +338 s=0.86695252 +177 s=0.86691045 +192 s=0.86683316 +283 s=0.86683242 +173 s=0.86667883 +387 s=0.86664108 +374 s=0.86660156 +194 s=0.86660125 +178 s=0.86652315 +76 s=0.86532017 +132 s=0.86525068 +161 s=0.86521048 +345 s=0.86487452 +399 s=0.86485237 +81 s=0.86481320 +375 s=0.86478331 +92 s=0.86473675 +55 s=0.86444480 +370 s=0.86432039 +272 s=0.86427449 +274 s=0.86423450 +6 s=0.86416560 +230 s=0.86412530 +409 s=0.86408969 +406 s=0.86408969 +128 s=0.86407839 +206 s=0.86407824 +290 s=0.86405087 +127 s=0.86403959 +175 s=0.86401164 +391 s=0.86400465 +10 s=0.86398240 +344 s=0.86397161 +278 s=0.86397084 +201 s=0.86393368 +245 s=0.86392395 +295 s=0.86389353 +82 s=0.86388499 +137 s=0.86385611 +121 s=0.86385593 +232 s=0.86385565 +270 s=0.86381622 +52 s=0.86381622 +179 s=0.86374386 +231 s=0.86374021 +31 s=0.86367791 +17 s=0.86349490 +47 s=0.86328542 +347 s=0.86255479 +389 s=0.86250432 +83 s=0.86234599 +119 s=0.86185095 +101 s=0.86184569 +382 s=0.86175311 +164 s=0.86173260 +404 s=0.86143349 +113 s=0.86143237 +400 s=0.86087085 +380 s=0.86079636 +168 s=0.86071962 +166 s=0.86060838 +381 s=0.86060720 +216 s=0.86057523 +352 s=0.86056973 +139 s=0.86053227 +155 s=0.86053218 +109 s=0.86045880 +122 s=0.86045715 +183 s=0.86038354 +159 s=0.86038352 +104 s=0.86038214 +330 s=0.85893703 +78 s=0.85889613 +297 s=0.85847904 +196 s=0.85840290 +331 s=0.85682767 +266 s=0.85511650 +149 s=0.85442097 +142 s=0.85389258 +49 s=0.85385516 +42 s=0.85377866 +213 s=0.85373500 +280 s=0.85369617 +267 s=0.85358959 +293 s=0.85346907 +165 s=0.85335394 +285 s=0.85265204 +277 s=0.85242350 +138 s=0.85225276 +333 s=0.85217811 +383 s=0.85217667 +46 s=0.85183377 +79 s=0.85160188 +367 s=0.85142954 +281 s=0.85138848 +148 s=0.85122173 +335 s=0.85120900 +18 s=0.85120371 +33 s=0.85119395 +392 s=0.85111440 +359 s=0.85110817 +304 s=0.85110115 +152 s=0.85107995 +96 s=0.85107945 +243 s=0.85103210 +302 s=0.85094517 +180 s=0.85094515 +365 s=0.85091644 +221 s=0.85090828 +112 s=0.85088054 +372 s=0.85086984 +339 s=0.85086984 +264 s=0.85085045 +105 s=0.85081227 +90 s=0.85080365 +217 s=0.85079731 +204 s=0.85076038 +291 s=0.85072323 +68 s=0.85034890 +107 s=0.84980618 +286 s=0.84961369 +254 s=0.84954910 +110 s=0.84954063 +303 s=0.84935834 +64 s=0.84928619 +141 s=0.84913668 +244 s=0.84903503 +388 s=0.84895880 +354 s=0.84891336 +97 s=0.84887767 +114 s=0.84873028 +398 s=0.84865470 +203 s=0.84836477 +84 s=0.84802763 +133 s=0.84784279 +123 s=0.84777026 +25 s=0.84238841 +316 s=0.84225892 +265 s=0.84223657 +321 s=0.84222193 +269 s=0.84222153 +320 s=0.84222134 +225 s=0.84219882 +301 s=0.84196892 +260 s=0.84180381 +262 s=0.84154451 +14 s=0.84103623 +215 s=0.84103083 +70 s=0.84096125 +58 s=0.84096125 +40 s=0.84095667 +292 s=0.84084928 +385 s=0.84073279 +182 s=0.84062210 +329 s=0.84032092 +54 s=0.84032051 +299 s=0.84000011 +284 s=0.83990624 +195 s=0.83972039 +59 s=0.83934678 +246 s=0.83931011 +273 s=0.83923438 +38 s=0.83919781 +75 s=0.83907546 +60 s=0.83904219 +50 s=0.83889352 +186 s=0.83880057 +162 s=0.83874255 +100 s=0.83870601 +44 s=0.83867149 +207 s=0.83854380 +289 s=0.83850881 +210 s=0.83839836 +188 s=0.83836085 +56 s=0.83832960 +35 s=0.83829593 +348 s=0.83825593 +8 s=0.83815255 +51 s=0.83814662 +11 s=0.83799667 +20 s=0.83689180 +350 s=0.83686538 +236 s=0.83649065 +271 s=0.83625080 +187 s=0.83600063 +69 s=0.83599471 +279 s=0.83588564 +361 s=0.83574137 +116 s=0.83570481 +147 s=0.83570355 +351 s=0.83563177 +222 s=0.83555833 +288 s=0.83555774 +174 s=0.83530296 +323 s=0.83063157 +314 s=0.83041714 +318 s=0.83016028 +319 s=0.83012367 +317 s=0.83012367 +341 s=0.83003532 +229 s=0.82993160 +256 s=0.82988848 +250 s=0.82977897 +184 s=0.82973987 +403 s=0.82962748 +71 s=0.82952130 +306 s=0.82891760 +108 s=0.82884335 +197 s=0.82866748 +189 s=0.82841184 +145 s=0.82819253 +263 s=0.82816310 +275 s=0.82800793 +369 s=0.82793927 +356 s=0.82779733 +120 s=0.82740207 +355 s=0.82737572 +287 s=0.82737486 +211 s=0.82733871 +373 s=0.82731845 +62 s=0.82567833 +368 s=0.82563531 +88 s=0.82560229 +346 s=0.82549526 +223 s=0.82504412 +353 s=0.82470812 +402 s=0.82452492 +357 s=0.82447736 +77 s=0.82433261 +363 s=0.82413920 +134 s=0.82402249 +160 s=0.82369972 +305 s=0.82341350 +146 s=0.82330495 +255 s=0.82294052 +219 s=0.82145449 +312 s=0.81947486 +309 s=0.81879884 +313 s=0.81868851 +315 s=0.81840901 +308 s=0.81840901 +251 s=0.81824246 +248 s=0.81817096 +247 s=0.81817084 +342 s=0.81802652 +23 s=0.81786723 +3 s=0.81779600 +257 s=0.81779463 +234 s=0.81767496 +167 s=0.81764341 +130 s=0.81739400 +233 s=0.81731895 +36 s=0.81710025 +48 s=0.81699524 +95 s=0.81685470 +227 s=0.81641888 +156 s=0.81588109 +80 s=0.81568314 +371 s=0.81559671 +397 s=0.81536330 +61 s=0.81521064 +94 s=0.81520941 +242 s=0.81455312 +193 s=0.81393226 +117 s=0.81345860 +205 s=0.81338475 +240 s=0.81306751 +228 s=0.81258082 +45 s=0.81232121 +135 s=0.81185164 +258 s=0.81176839 +238 s=0.81169495 +63 s=0.81039113 +202 s=0.80972829 +310 s=0.80760650 +307 s=0.80726580 +311 s=0.80715286 +199 s=0.80660864 +214 s=0.80658360 +102 s=0.80586197 +249 s=0.80534898 +241 s=0.80460991 +111 s=0.80449699 +172 s=0.80436514 +218 s=0.80436512 +65 s=0.80421937 +220 s=0.80390889 +377 s=0.80364304 +395 s=0.80353608 +13 s=0.80274394 +106 s=0.80242130 +22 s=0.80224430 +358 s=0.80220616 +360 s=0.80216679 +386 s=0.80132683 +259 s=0.80066865 +136 s=0.79997909 +261 s=0.79997492 +198 s=0.79888024 +24 s=0.79536729 +171 s=0.79477821 +154 s=0.79279477 +93 s=0.79272170 +376 s=0.79240552 +87 s=0.79236830 +190 s=0.79183167 +150 s=0.79151894 +212 s=0.78746722 +294 s=0.78442669 +125 s=0.78324566 +89 s=0.78128069 +57 s=0.78092666 +103 s=0.78005033 +129 s=0.77902301 +414 s=0.77786644 +43 s=0.77721935 +384 s=0.77714127 +91 s=0.77183302 +53 s=0.77097384 +366 s=0.76900200 +394 s=0.76800691 +379 s=0.76717126 +390 s=0.75607288 +26 s=0.73076499 +4 s=0.70052798 +131 s=0.69234411 +328 s=0.66492841 +30 s=0.66492712 +209 s=0.66459363 +2 s=0.64459617 +239 s=0.62723115 +337 s=0.59603123 +176 s=0.59603102 +411 s=0.59107296 +412 s=0.58286278 +325 s=0.48589761 +362 s=0.47283060 +27 s=0.44478974 +413 s=0.32883026 +349 s=0.32738178 +327 s=0.28979633 +32 s=0.27198102 +332 s=0.27104993 +34 s=0.26617569 +224 s=0.25943749 +118 s=0.25281028 + +## cluster_4 n=4 s=0.71997276 +29 s=0.77528778 +324 s=0.77528653 +300 s=0.69240573 +268 s=0.63691100 diff --git a/example/plot.png b/example/plot.png index 52427e8542c7741ec89d1e1ce2137ad5830c9b7e..2bf127400371f30715a7c107b6af6592a745c595 100644 GIT binary patch literal 29263 zcma&ObySww8#d~UVvy1;f&$Vl4I`n_5=zGlBGQu5j38aoC^aCdNOww0iFAW>clX)P z`##9;TkAV#oj+X8$ivP%ulu^U-!u6qSm<QvSFT*al6oqkbmhw5lvl1?y>;_%@GlQI z@%_MGx86Kex4Ci!y8-;E|7+MJX7tJx>%XKV9;rCQt&ZJt(Xy*LKVN4a+IO|=FJ2r^ zF%6?*NcOnvag){810z~{(&O$v4x_3eZY2$)2Zryz<O^t_Of=H_QBm2p6Vcqx<tb9b z%v{@|=7*1Nq_tFbx^(WlaBaJZWRDLftbbJP;ZBVE$TeT;Dw24Yh9<1R{OuK7Tra|( zgy4VtY`lDZUruRJ)6jh6Q}y+IO85WkpV65TPiE-Pj|OV0H=D?@u(0e)7S?8?b<gH_ zYleDzcP4S%4>p^rI$K-wD;~&R<53OlJYy*t?H(O<8F!o)KAZ_(TwHu%<b_vYJ===G 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