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concept-collection / stan-examples
Update 30 files
Jeremy Magland <magland@users.noreply.github.com> committed commit 20bfd870b3a6 parent c1089a6 Browse files
30 changed files+9427−0
disease-transmission/data.jsonadded+44−0View file
@@ -0,0 +1,44 @@
1+{
2+ "_source": "This data comes from the R package 'outbreaks'",
3+ "_description": "Influenza in a boarding school in England, 1978",
4+ "N": 763,
5+ "cases": [
6+ 3,
7+ 8,
8+ 26,
9+ 76,
10+ 225,
11+ 298,
12+ 258,
13+ 233,
14+ 189,
15+ 128,
16+ 68,
17+ 29,
18+ 14,
19+ 4
20+ ],
21+ "n_days": 14,
22+ "ts": [
23+ 1,
24+ 2,
25+ 3,
26+ 4,
27+ 5,
28+ 6,
29+ 7,
30+ 8,
31+ 9,
32+ 10,
33+ 11,
34+ 12,
35+ 13,
36+ 14
37+ ],
38+ "t0": 0,
39+ "y0": [
40+ 762,
41+ 1,
42+ 0
43+ ]
44+}
\ No newline at end of file
disease-transmission/main.out/chain_1.csvadded+101−0View file
@@ -0,0 +1,101 @@
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disease-transmission/main.out/console.txtadded+112−0View file
@@ -0,0 +1,112 @@
1+[chain 1] Gradient evaluation took 0.0116 seconds
2+[chain 1] 1000 transitions using 10 leapfrog steps per transition would take 116 seconds.
3+[chain 1] Adjust your expectations accordingly!
4+[chain 1] WARNING: There aren't enough warmup iterations to fit the
5+[chain 3] Gradient evaluation took 0.0044 seconds
6+[chain 3] 1000 transitions using 10 leapfrog steps per transition would take 44 seconds.
7+[chain 3] Adjust your expectations accordingly!
8+[chain 3] WARNING: There aren't enough warmup iterations to fit the
9+[chain 3] three stages of adaptation as currently configured.
10+[chain 3] Reducing each adaptation stage to 15%/75%/10% of
11+[chain 3] the given number of warmup iterations:
12+[chain 3] init_buffer = 15
13+[chain 3] adapt_window = 75
14+[chain 3] term_buffer = 10
15+[chain 2] Gradient evaluation took 0.0047 seconds
16+[chain 2] 1000 transitions using 10 leapfrog steps per transition would take 47 seconds.
17+[chain 2] Adjust your expectations accordingly!
18+[chain 2] WARNING: There aren't enough warmup iterations to fit the
19+[chain 2] three stages of adaptation as currently configured.
20+[chain 2] Reducing each adaptation stage to 15%/75%/10% of
21+[chain 2] the given number of warmup iterations:
22+[chain 2] init_buffer = 15
23+[chain 2] adapt_window = 75
24+[chain 2] term_buffer = 10
25+[chain 4] Gradient evaluation took 0.0262 seconds
26+[chain 4] 1000 transitions using 10 leapfrog steps per transition would take 262 seconds.
27+[chain 4] Adjust your expectations accordingly!
28+[chain 4] WARNING: There aren't enough warmup iterations to fit the
29+[chain 4] three stages of adaptation as currently configured.
30+[chain 4] Reducing each adaptation stage to 15%/75%/10% of
31+[chain 4] the given number of warmup iterations:
32+[chain 4] init_buffer = 15
33+[chain 4] adapt_window = 75
34+[chain 4] term_buffer = 10
35+[chain 1] three stages of adaptation as currently configured.
36+[chain 1] Reducing each adaptation stage to 15%/75%/10% of
37+[chain 1] the given number of warmup iterations:
38+[chain 1] init_buffer = 15
39+[chain 1] adapt_window = 75
40+[chain 1] term_buffer = 10
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68+[chain 2] Elapsed Time: 4.867 seconds (Warm-up)
69+[chain 2] 3.888 seconds (Sampling)
70+[chain 2] 8.755 seconds (Total)
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76+[chain 3] Elapsed Time: 7.303 seconds (Warm-up)
77+[chain 3] 2.528 seconds (Sampling)
78+[chain 3] 9.831 seconds (Total)
79+Chain 1 Iteration: 15 / 200 [ 7%] (Warmup)
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103+Chain 1 Iteration: 200 / 200 [100%] (Sampling)
104+[chain 1] Elapsed Time: 10.504 seconds (Warm-up)
105+[chain 1] 1.696 seconds (Sampling)
106+[chain 1] 12.2 seconds (Total)
107+Chain 4 Iteration: 175 / 200 [ 87%] (Sampling)
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110+[chain 4] Elapsed Time: 10.758 seconds (Warm-up)
111+[chain 4] 1.41 seconds (Sampling)
112+[chain 4] 12.168 seconds (Total)
disease-transmission/main.out/run.jsonadded+12−0View file
@@ -0,0 +1,12 @@
1+{
2+ "format": "stan-web-ide.run/1",
3+ "stan": "/disease-transmission/main.stan",
4+ "data": "/disease-transmission/data.json",
5+ "output_dir": "/disease-transmission/main.out",
6+ "num_chains": 4,
7+ "num_warmup": 100,
8+ "num_samples": 100,
9+ "init_radius": 0.2,
10+ "seed": 3658178766,
11+ "compute_time_sec": 26.334
12+}
disease-transmission/main.out/summary.csvadded+70−0View file
@@ -0,0 +1,70 @@
1+parameter,mean,mcse,sd,p5,median,p95,ess,ess_per_sec,rhat
2+gamma,0.475801,0.000711751,0.011289,0.456186,0.476914,0.493326,251.566,9.55289,1.0104
3+beta,1.68793,0.000736628,0.0159536,1.66287,1.68858,1.71556,469.052,17.8117,0.993569
4+phi_inv,0.187198,0.0267128,0.187427,0.00546854,0.123742,0.701243,49.2297,1.86943,1.06926
5+phi,107.787,89.6097,547.352,1.42747,8.13373,184.147,37.3099,1.41679,1.12287
6+y.1.1,758.732,0.00246874,0.0601951,758.634,758.73,758.829,594.527,22.5764,0.99257
7+y.2.1,747.976,0.0174141,0.429783,747.251,747.976,748.69,609.111,23.1302,0.993455
8+y.3.1,714.31,0.0835387,2.05434,710.769,714.347,717.622,604.741,22.9643,0.994138
9+y.4.1,623.5,0.28157,6.8877,611.869,623.821,634.599,598.38,22.7227,0.994625
10+y.5.1,451.374,0.551073,13.3941,428.912,451.384,473.04,590.759,22.4333,0.995052
11+y.6.1,264.904,0.569865,13.6828,243.023,264.973,287.44,576.51,21.8922,0.995692
12+y.7.1,145.308,0.403264,9.44964,130.546,145.167,161.319,549.1,20.8514,0.996842
13+y.8.1,86.2418,0.269852,6.08402,76.9548,86.1274,96.6646,508.31,19.3024,0.998536
14+y.9.1,58.0755,0.197504,4.25251,51.5977,58.1107,65.1731,463.595,17.6044,1.00047
15+y.10.1,43.8734,0.160646,3.31356,38.6972,43.8926,49.3563,425.448,16.1558,1.00225
16+y.11.1,36.1964,0.141475,2.8206,31.5689,36.1805,40.9297,397.485,15.094,1.00365
17+y.12.1,31.7969,0.129662,2.55221,27.6656,31.7143,36.1005,387.444,14.7127,1.00465
18+y.13.1,29.1645,0.125151,2.40182,25.2757,29.1376,33.2569,368.307,13.986,1.00534
19+y.14.1,27.5407,0.122767,2.31605,23.7816,27.4855,31.4981,355.903,13.515,1.00581
20+y.1.2,3.34396,0.00235787,0.0568276,3.25349,3.34248,3.43822,580.871,22.0578,0.995634
21+y.2.2,11.0303,0.0153931,0.370198,10.4472,11.0173,11.6463,578.382,21.9633,0.995777
22+y.3.2,34.7979,0.06965,1.66809,32.1885,34.7295,37.5792,573.582,21.781,0.996018
23+y.4.2,96.3794,0.221799,5.25937,88.2237,96.177,105.068,562.276,21.3517,0.996531
24+y.5.2,199.009,0.395878,9.07944,184.656,198.979,213.49,526.011,19.9746,0.998028
25+y.6.2,270.751,0.370167,7.40989,258.808,270.658,283.197,400.709,15.2164,1.00355
26+y.7.2,261.086,0.337853,5.27151,253.262,260.643,270.191,243.453,9.2448,1.00974
27+y.8.2,207.906,0.328647,5.30881,200.222,207.296,217.174,260.937,9.90874,1.00533
28+y.9.2,151.014,0.295449,4.93713,143.661,150.612,159.804,279.244,10.6039,1.00371
29+y.10.2,104.885,0.247573,4.14355,98.7252,104.511,112.282,280.118,10.6371,1.00388
30+y.11.2,71.1694,0.197886,3.27984,66.3969,70.8215,77.0225,274.709,10.4317,1.00461
31+y.12.2,47.6718,0.15311,2.50798,44.1156,47.4082,52.1365,268.312,10.1888,1.00548
32+y.13.2,31.6924,0.115704,1.87495,29.0375,31.4664,35.0292,262.594,9.97168,1.00632
33+y.14.2,20.9733,0.0858933,1.37935,19.0067,20.8125,23.4071,257.888,9.79296,1.00709
34+y.1.3,0.9243,0.0012626,0.0198394,0.891117,0.925945,0.954315,246.901,9.37574,1.00718
35+y.2.3,3.99361,0.00527196,0.0997571,3.82629,3.99486,4.16257,358.05,13.5965,0.997914
36+y.3.3,13.8923,0.0214467,0.471808,13.1595,13.9055,14.7364,483.962,18.3778,0.993295
37+y.4.3,43.1206,0.0778175,1.82931,40.3222,43.2071,46.289,552.611,20.9847,0.992449
38+y.5.3,112.617,0.202461,4.85167,105.002,112.759,120.656,574.249,21.8064,0.992449
39+y.6.3,227.345,0.330416,7.89844,214.779,227.61,240.395,571.425,21.6991,0.992526
40+y.7.3,356.606,0.370135,8.71628,342.82,357.142,371.323,554.551,21.0584,0.992695
41+y.8.3,468.852,0.337015,7.78236,456.628,469.402,482.184,533.242,20.2492,0.993012
42+y.9.3,553.911,0.276468,6.29441,544.086,554.309,564.771,518.349,19.6837,0.99335
43+y.10.3,614.242,0.213719,4.86666,606.577,614.589,622.573,518.533,19.6906,0.993503
44+y.11.3,655.634,0.159582,3.70558,649.77,655.912,661.874,539.191,20.4751,0.993385
45+y.12.3,683.531,0.118959,2.85848,678.797,683.793,688.149,577.404,21.9262,0.993265
46+y.13.3,702.143,0.0942181,2.31482,698.196,702.257,705.866,603.624,22.9218,0.993874
47+y.14.3,714.486,0.0847132,2.02849,711.068,714.528,717.766,573.382,21.7734,0.995797
48+R0,3.54936,0.00457295,0.0828113,3.41564,3.54651,3.69166,327.934,12.4529,1.00813
49+recovery_time,2.10291,0.00317208,0.0502172,2.02733,2.09697,2.19335,250.62,9.51698,1.01134
50+pred_cases.1,3.2,0.0865792,1.76856,1,3,7,417.268,15.8452,0.996365
51+pred_cases.2,11.235,0.181555,3.27209,6,11,17,324.813,12.3343,1.00115
52+pred_cases.3,34.685,0.305557,6.06859,25,35,45,394.449,14.9787,1.01318
53+pred_cases.4,96.2425,0.485806,10.5221,78,96,113,469.119,17.8142,0.995498
54+pred_cases.5,198.245,0.797187,16.997,173,199,226,454.593,17.2626,0.995497
55+pred_cases.6,271.652,0.873659,17.6729,243,271,302,409.198,15.5388,0.992751
56+pred_cases.7,259.938,0.86321,16.4886,234,260,289,364.866,13.8553,0.997425
57+pred_cases.8,206.773,0.826788,15.812,184,207,235,365.753,13.889,1.00022
58+pred_cases.9,150.585,0.776973,13.7721,128,150,172,314.19,11.9309,1.00726
59+pred_cases.10,104.067,0.606672,11.3375,87,103,124,349.243,13.2621,1.00039
60+pred_cases.11,71.0825,0.44102,8.65523,58,71,87,385.159,14.6259,1.00155
61+pred_cases.12,48.31,0.387344,7.09081,37,48,61,335.119,12.7257,1.00286
62+pred_cases.13,31.4825,0.299164,5.72377,23,31,41,366.055,13.9005,1.00099
63+pred_cases.14,20.8525,0.259372,5.00734,14,21,29,372.708,14.1531,1.00657
64+lp__,6492.07,0.19181,1.43474,6489,6492.58,6493.57,55.9508,2.12466,1.05722
65+accept_stat__,0.901059,0.00582479,0.126604,0.650616,0.949772,1,472.426,17.9398,1.0113
66+stepsize__,0.00986422,0.000374296,0.000537458,0.00926804,0.010096,0.0106282,2.06186,0.0782963,110707000000000
67+treedepth__,4.105,0.12244,2.17849,1,3,7,316.568,12.0213,1.00678
68+n_leapfrog__,66.815,5.99363,86.9203,3,15,255,210.311,7.98631,1.01039
69+divergent__,0,NaN,0,0,0,0,NaN,NaN,NaN
70+energy__,-6490.55,0.223912,1.90397,-6492.81,-6491,-6486.84,72.3048,2.74568,1.04519
disease-transmission/main.sampleadded+0−0View file
No changes to the file's content.
disease-transmission/main.stanadded+48−0View file
@@ -0,0 +1,48 @@
1+// the "susceptible-infected-recovered" model
2+functions {
3+ vector sir(real t, vector y, real beta, real gamma, int N) {
4+ real S = y[1];
5+ real I = y[2];
6+ real R = y[3];
7+
8+ real dS_dt = -beta * I * S / N;
9+ real dI_dt = beta * I * S / N - gamma * I;
10+ real dR_dt = gamma * I;
11+
12+ return [dS_dt, dI_dt, dR_dt]';
13+ }
14+}
15+data {
16+ int<lower=1> n_days;
17+ vector[3] y0;
18+ real t0;
19+ array[n_days] real ts;
20+ int N;
21+ array[n_days] int cases; // how many people are sick on day n
22+}
23+parameters {
24+ real<lower=0> gamma;
25+ real<lower=0> beta;
26+ real<lower=0> phi_inv;
27+}
28+transformed parameters {
29+ real phi = 1. / phi_inv;
30+ array[n_days] vector[3] y = ode_rk45(sir, y0, t0, ts, beta, gamma, N);
31+}
32+model {
33+ //priors
34+ beta ~ normal(2, 1);
35+ gamma ~ normal(0.4, 0.5);
36+ phi_inv ~ exponential(5);
37+
38+ cases ~ poisson(y[ : , 2]);
39+ // try it: a overdispersed likelihood instead
40+ // cases ~ neg_binomial_2(y[,2], phi);
41+}
42+generated quantities {
43+ // R0 is the expected number of new infections caused by a single infected individual
44+ real R0 = beta / gamma;
45+ real recovery_time = 1 / gamma;
46+ array[n_days] real pred_cases = poisson_rng(y[ : , 2]);
47+ // array[n_days] real pred_cases = neg_binomial_2_rng(y[,2], phi);
48+}
\ No newline at end of file
linear-regression/data.jsonadded+27−0View file
@@ -0,0 +1,27 @@
1+{
2+ "N": 10,
3+ "x": [
4+ 1,
5+ 2,
6+ 3,
7+ 4,
8+ 5,
9+ 6,
10+ 7,
11+ 8,
12+ 9,
13+ 10
14+ ],
15+ "y": [
16+ 3.5164361480858806,
17+ 1.9422090649104387,
18+ 3.856878064212197,
19+ 5.8081366125433025,
20+ 7.727339580090061,
21+ 7.974795841003987,
22+ 9.775364868869321,
23+ 10.737390454859584,
24+ 12.557258326283772,
25+ 15.382774755732974
26+ ]
27+}
\ No newline at end of file
linear-regression/main.out/chain_1.csvadded+1001−0View file
@@ -0,0 +1,1001 @@
1+lp__,accept_stat__,stepsize__,treedepth__,n_leapfrog__,divergent__,energy__,alpha,beta,sigma
2+-5.252740373017393,0.9959040759352104,0.5041539753616345,3,7,0,6.696684486092814,0.18438916887181378,1.4557357730457103,0.7508036855019777
3+-4.588709497396811,0.7600903291786995,0.5041539753616345,2,3,0,7.343331655678934,0.5995440972206397,1.3882331280516882,0.8260789077793107
4+-4.459857684782408,0.9426449155479358,0.5041539753616345,2,3,0,5.405899684413912,0.13771485674270478,1.4479191995578133,0.8108309415245775
5+-5.242605672347541,0.8845821138240704,0.5041539753616345,2,7,0,6.580353212908097,1.1565623238585943,1.3031104160648086,1.3031392363434648
6+-3.8192500056996392,0.9973729373752214,0.5041539753616345,2,5,0,5.528221054139767,0.34307235643774303,1.3920256234993502,0.952536500083626
7+-4.959264050491513,0.8633551507460107,0.5041539753616345,2,7,0,6.08729395622376,0.7464535246625551,1.388000894471292,0.9317427553615543
8+-5.358854774050498,0.9871849531397594,0.5041539753616345,3,7,0,6.001163481691337,-0.1014963800262233,1.3594731174506671,1.0082770630811613
9+-5.260507935579466,1,0.5041539753616345,1,1,0,5.446039315998033,-0.032981512893200796,1.3511240559390165,1.0044455602001685
10+-6.26813298955026,0.9816336320050372,0.5041539753616345,3,7,0,6.964762430866689,-0.8537874645409064,1.4775221739365487,1.3936513920154807
11+-7.484893881466979,0.9367447863901245,0.5041539753616345,3,7,0,8.540424043577254,-0.9144407696621337,1.4508223809142216,1.7110460358653747
12+-8.228457593835325,0.7938837373720841,0.5041539753616345,3,7,0,11.681794242759732,-1.2207178110685954,1.488573467259255,1.1035910988650162
13+-5.525938900972592,1,0.5041539753616345,3,7,0,9.552688268371291,-0.2243130510465141,1.5421218753123689,1.2634604049211375
14+-3.943183392221115,0.9567281776517079,0.5041539753616345,3,7,0,6.753625633209813,0.6778656398865566,1.3321539435794896,0.9897967019578721
15+-5.221008218070829,0.7565828018904129,0.5041539753616345,3,7,0,8.119494189405023,-0.45684452507560214,1.4568238364164798,0.8341612735209688
16+-5.220376808589991,1,0.5041539753616345,3,7,0,5.959422039711172,1.1432159034397045,1.311971275331301,1.2701812330227114
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985+-5.028120011045467,0.9627561634864461,0.5028481529463681,3,7,0,6.19292020922677,0.7456575408633259,1.261352175920398,1.2527566292984023
986+-5.94686033691719,0.9456131677482327,0.5028481529463681,3,7,0,6.85347185007335,0.25156244797693045,1.4980871603396817,1.0172411161397104
987+-6.483253490376935,0.8953307530281632,0.5028481529463681,3,7,0,8.075258159850193,1.0974259090465504,1.2210963169168256,1.700095029884575
988+-6.670152854673322,0.9667716820603879,0.5028481529463681,3,7,0,7.296162305114597,-0.5643140827020152,1.5753304257992646,0.8004470734725834
989+-5.829974600865487,0.9974986729692328,0.5028481529463681,3,7,0,7.526081161043169,1.016725038065919,1.2646882878317462,1.5673177598563683
990+-5.111794882066621,0.9842536992126993,0.5028481529463681,3,7,0,6.62303244167089,0.10665949108564746,1.4606559777876806,0.748897579452468
991+-7.000789366035255,0.8339666077630147,0.5028481529463681,2,3,0,7.150442668848065,0.2365195138605583,1.4608772219493946,0.6616699626213346
992+-6.453362205250107,1,0.5028481529463681,3,7,0,8.286755565410848,0.5070948900567129,1.2717279190941633,1.6592308631290247
993+-5.059510867287335,0.9884323956699446,0.5028481529463681,2,7,0,8.61050100894287,0.8121780317846076,1.2419214155595186,1.1544036954238197
994+-3.9268761781026797,0.99183273844197,0.5028481529463681,2,7,0,5.664999281365281,0.2733133227089724,1.3992011287473287,0.8269194955161375
995+-4.535049883258139,0.9229044081463026,0.5028481529463681,2,3,0,4.771249296038089,0.8515402535319261,1.333115256154178,0.819058812799906
996+-4.717789477424637,0.8546163390249778,0.5028481529463681,3,7,0,6.503945140596668,-0.18220984391977202,1.4022721155011355,1.1180776967518204
997+-3.9616739372304655,0.9952412765223025,0.5028481529463681,3,7,0,4.862230204122177,0.18377257240758055,1.397200032862796,0.8181578770939206
998+-4.081458287315594,0.9884532843322347,0.5028481529463681,3,7,0,4.237893972076254,0.5756415173590556,1.3463722712586073,1.1035570412578506
999+-3.895303989780617,0.9913809865192275,0.5028481529463681,3,7,0,4.52025344768552,0.30668285218465396,1.4024857090996228,0.8680916123645784
1000+-4.373944774777252,0.952658520134419,0.5028481529463681,2,7,0,4.6444461668588755,0.9939538478633423,1.2654197569463808,0.9686421126839553
1001+-5.046756791178368,0.9673999054268715,0.5028481529463681,3,7,0,5.336472433025505,-0.7400972515168349,1.5365728743184377,1.0531360376728636
linear-regression/main.out/console.txtadded+192−0View file
@@ -0,0 +1,192 @@
1+[chain 1] Gradient evaluation took 0.0054 seconds
2+[chain 4] Gradient evaluation took 0.0028 seconds
3+[chain 1] 1000 transitions using 10 leapfrog steps per transition would take 54 seconds.
4+[chain 1] Adjust your expectations accordingly!
5+[chain 4] 1000 transitions using 10 leapfrog steps per transition would take 28 seconds.
6+[chain 4] Adjust your expectations accordingly!
7+[chain 2] Gradient evaluation took 0.0095 seconds
8+[chain 2] 1000 transitions using 10 leapfrog steps per transition would take 95 seconds.
9+[chain 2] Adjust your expectations accordingly!
10+[chain 3] Gradient evaluation took 0.0109 seconds
11+[chain 3] 1000 transitions using 10 leapfrog steps per transition would take 109 seconds.
12+[chain 3] Adjust your expectations accordingly!
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linear-regression/main.out/run.jsonadded+12−0View file
@@ -0,0 +1,12 @@
1+{
2+ "format": "stan-web-ide.run/1",
3+ "stan": "/linear-regression/main.stan",
4+ "data": "/linear-regression/data.json",
5+ "output_dir": "/linear-regression/main.out",
6+ "num_chains": 4,
7+ "num_warmup": 1000,
8+ "num_samples": 1000,
9+ "init_radius": 2,
10+ "seed": 3746934735,
11+ "compute_time_sec": 0.741
12+}
linear-regression/main.out/summary.csvadded+11−0View file
@@ -0,0 +1,11 @@
1+parameter,mean,mcse,sd,p5,median,p95,ess,ess_per_sec,rhat
2+alpha,0.336529,0.0187348,0.891636,-1.03147,0.316152,1.77485,2265.04,3056.32,0.999834
3+beta,1.37929,0.00300159,0.143017,1.15266,1.38278,1.59782,2270.23,3063.32,0.999996
4+sigma,1.17799,0.0104836,0.38317,0.734282,1.10026,1.86761,1335.86,1802.54,1.00104
5+lp__,-5.60596,0.0482316,1.54186,-8.55773,-5.19201,-3.99765,1021.94,1378.95,1.00039
6+accept_stat__,0.924886,0.00427713,0.11426,0.718288,0.964181,1,713.646,962.955,1.01242
7+stepsize__,0.545465,0.0334175,0.0473305,0.502848,0.556494,0.618362,2.00602,2.70681,13316100000000
8+treedepth__,2.49075,0.00963571,0.562578,2,3,3,3408.77,4599.6,1.00886
9+n_leapfrog__,5.6835,0.0562474,2.03639,3,7,7,1310.73,1768.63,1.01283
10+divergent__,0,NaN,0,0,0,0,NaN,NaN,NaN
11+energy__,7.11989,0.0632538,2.00104,4.69618,6.70176,11.0235,1000.78,1350.39,1.00081
linear-regression/main.sampleadded+4−0View file
@@ -0,0 +1,4 @@
1+stan: "main.stan"
2+data: data.json
3+num_chains: 6
4+num_warmup: 100
linear-regression/main.stanadded+13−0View file
@@ -0,0 +1,13 @@
1+data {
2+ int<lower=0> N;
3+ vector[N] x;
4+ vector[N] y;
5+}
6+parameters {
7+ real alpha;
8+ real beta;
9+ real<lower=0> sigma;
10+}
11+model {
12+ y ~ normal(alpha + beta * x, sigma);
13+}
lotka-volterra/data.jsonadded+111−0View file
@@ -0,0 +1,111 @@
1+{
2+ "N": 20,
3+ "ts": [
4+ 1,
5+ 2,
6+ 3,
7+ 4,
8+ 5,
9+ 6,
10+ 7,
11+ 8,
12+ 9,
13+ 10,
14+ 11,
15+ 12,
16+ 13,
17+ 14,
18+ 15,
19+ 16,
20+ 17,
21+ 18,
22+ 19,
23+ 20
24+ ],
25+ "y_init": [
26+ 30,
27+ 4
28+ ],
29+ "y": [
30+ [
31+ 47.2,
32+ 6.1
33+ ],
34+ [
35+ 70.2,
36+ 9.8
37+ ],
38+ [
39+ 77.4,
40+ 35.2
41+ ],
42+ [
43+ 36.3,
44+ 59.4
45+ ],
46+ [
47+ 20.6,
48+ 41.7
49+ ],
50+ [
51+ 18.1,
52+ 19
53+ ],
54+ [
55+ 21.4,
56+ 13
57+ ],
58+ [
59+ 22,
60+ 8.3
61+ ],
62+ [
63+ 25.4,
64+ 9.1
65+ ],
66+ [
67+ 27.1,
68+ 7.4
69+ ],
70+ [
71+ 40.3,
72+ 8
73+ ],
74+ [
75+ 57,
76+ 12.3
77+ ],
78+ [
79+ 76.6,
80+ 19.5
81+ ],
82+ [
83+ 52.3,
84+ 45.7
85+ ],
86+ [
87+ 19.5,
88+ 51.1
89+ ],
90+ [
91+ 11.2,
92+ 29.7
93+ ],
94+ [
95+ 7.6,
96+ 15.8
97+ ],
98+ [
99+ 14.6,
100+ 9.7
101+ ],
102+ [
103+ 16.2,
104+ 10.1
105+ ],
106+ [
107+ 24.7,
108+ 8.6
109+ ]
110+ ]
111+}
\ No newline at end of file
lotka-volterra/main.out/chain_1.csvadded+1001−0View file
@@ -0,0 +1,1001 @@
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lotka-volterra/main.out/console.txtadded+192−0View file
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1+[chain 3] Gradient evaluation took 0.0013 seconds
2+[chain 2] Gradient evaluation took 0.0132 seconds
3+[chain 2] 1000 transitions using 10 leapfrog steps per transition would take 132 seconds.
4+[chain 2] Adjust your expectations accordingly!
5+[chain 4] Gradient evaluation took 0.0106 seconds
6+[chain 4] 1000 transitions using 10 leapfrog steps per transition would take 106 seconds.
7+[chain 4] Adjust your expectations accordingly!
8+[chain 3] 1000 transitions using 10 leapfrog steps per transition would take 13 seconds.
9+[chain 3] Adjust your expectations accordingly!
10+[chain 1] Gradient evaluation took 0.0392 seconds
11+[chain 1] 1000 transitions using 10 leapfrog steps per transition would take 392 seconds.
12+[chain 1] Adjust your expectations accordingly!
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143+[chain 2] Elapsed Time: 7.352 seconds (Warm-up)
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168+[chain 1] Elapsed Time: 9.915 seconds (Warm-up)
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190+[chain 4] Elapsed Time: 10.652 seconds (Warm-up)
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192+[chain 4] 43.515 seconds (Total)
lotka-volterra/main.out/run.jsonadded+12−0View file
@@ -0,0 +1,12 @@
1+{
2+ "format": "stan-web-ide.run/1",
3+ "stan": "/lotka-volterra/main.stan",
4+ "data": "/lotka-volterra/data.json",
5+ "output_dir": "/lotka-volterra/main.out",
6+ "num_chains": 4,
7+ "num_warmup": 1000,
8+ "num_samples": 1000,
9+ "init_radius": 2,
10+ "seed": 2921089899,
11+ "compute_time_sec": 43.922
12+}
lotka-volterra/main.out/summary.csvadded+98−0View file
@@ -0,0 +1,98 @@
1+parameter,mean,mcse,sd,p5,median,p95,ess,ess_per_sec,rhat
2+alpha,0.594477,0.0590439,0.184843,0.44819,0.551105,1.00104,9.80065,0.223138,1.40111
3+beta,0.0313032,0.00452795,0.0137355,0.0216325,0.0278521,0.0633439,9.20205,0.209509,1.43109
4+gamma,0.843616,0.0568094,0.18507,0.663719,0.803877,1.2039,10.6129,0.24163,1.31142
5+delta,0.0259985,0.00254283,0.00796274,0.0189825,0.0241197,0.0426958,9.80598,0.223259,1.38752
6+z_init.1,33.0082,1.34814,4.82823,21.4799,33.7258,38.9719,12.8264,0.292027,1.35403
7+z_init.2,6.5643,0.798517,2.21555,5.10223,5.95806,12.0593,7.69828,0.175272,1.62411
8+sigma.1,0.283687,0.047172,0.119332,0.19105,0.248564,0.601727,6.39947,0.145701,1.67274
9+sigma.2,0.301834,0.0636309,0.1504,0.194245,0.257103,0.711766,5.58678,0.127198,1.74978
10+z.1.1,47.6106,2.33331,7.5996,29.1136,48.5557,57.1124,10.6081,0.24152,1.43099
11+z.2.1,63.3901,3.29288,10.6373,37.7588,64.8357,77.4883,10.4354,0.23759,1.42008
12+z.3.1,63.0591,3.61425,11.234,35.7115,64.6269,77.4004,9.66115,0.219962,1.44029
13+z.4.1,37.2723,1.72692,6.03342,24.0224,37.7514,45.3987,12.2063,0.277907,1.30012
14+z.5.1,19.3874,0.0674903,2.21847,16.2617,19.2065,22.868,1080.5,24.6004,1.00037
15+z.6.1,14.2592,1.16215,3.27138,11.5705,13.4705,21.9385,7.92386,0.180408,1.49702
16+z.7.1,14.6882,2.22888,5.72197,11.1846,13.0722,30.8835,6.59049,0.15005,1.72683
17+z.8.1,17.8957,2.90623,7.59672,13.6689,15.7838,38.0848,6.83269,0.155564,1.6665
18+z.9.1,22.4525,1.46539,4.34889,19.0765,21.4632,31.4945,8.80744,0.200525,1.39124
19+z.10.1,30.0388,0.999972,3.49817,22.1097,30.6096,34.1432,12.2379,0.278628,1.32455
20+z.11.1,42.6995,2.99922,8.12593,19.6337,44.5118,50.7096,7.34056,0.167127,1.69287
21+z.12.1,58.7339,4.53366,12.4609,24.6005,61.3443,72.3104,7.55446,0.171997,1.65562
22+z.13.1,65.8735,4.16359,12.518,34.1913,68.0445,81.0185,9.0393,0.205803,1.52425
23+z.14.1,45.7775,0.668289,5.73576,36.5174,46.0064,54.1668,73.6639,1.67715,1.0751
24+z.15.1,23.4199,0.94217,3.773,19.0748,22.9342,29.5615,16.0367,0.365119,1.15466
25+z.16.1,14.8814,0.889046,2.86075,12.1696,14.3334,20.097,10.3541,0.235738,1.30314
26+z.17.1,13.5208,1.0096,3.02546,11.0085,12.8358,20.091,8.98012,0.204456,1.40101
27+z.18.1,15.824,1.46247,4.16314,12.7775,14.7435,25.6142,8.10335,0.184494,1.48815
28+z.19.1,21.0051,1.86059,5.38363,17.0343,19.6547,34.2426,8.37238,0.190619,1.47031
29+z.20.1,28.8096,0.995624,4.56982,24.0957,28.0247,36.066,21.0672,0.479651,1.14847
30+z.1.2,7.53037,0.462797,1.52185,6.17597,7.22268,10.381,10.8135,0.246197,1.35325
31+z.2.2,12.9615,0.0514494,1.91821,10.33,12.8109,16.0355,1390.05,31.6481,1.0172
32+z.3.2,28.6237,0.758954,4.5943,20.4151,28.8747,35.4569,36.6444,0.834306,1.11048
33+z.4.2,44.5079,2.74908,8.78241,21.8716,45.8746,55.0149,10.2059,0.232365,1.37921
34+z.5.2,38.3019,2.79857,8.16805,16.1025,39.7492,47.4552,8.51855,0.193947,1.47328
35+z.6.2,25.1484,1.72561,4.89234,11.6169,26.0555,30.4725,8.038,0.183006,1.49435
36+z.7.2,15.749,0.605569,2.12508,10.9082,15.9699,18.4224,12.3147,0.280377,1.25229
37+z.8.2,10.7009,0.577169,1.98508,8.85028,10.285,14.5646,11.829,0.269318,1.31947
38+z.9.2,8.59208,1.84338,4.97755,6.13051,7.18225,21.3712,7.29121,0.166004,1.65718
39+z.10.2,7.38289,1.8185,4.82784,5.10103,5.96987,20.4693,7.04825,0.160472,1.71011
40+z.11.2,7.33922,0.989053,2.71521,5.63736,6.58124,14.4251,7.53644,0.171587,1.66072
41+z.12.2,10.631,0.0455978,1.30881,8.73695,10.5201,12.8264,823.885,18.7579,1.01863
42+z.13.2,22.5661,1.4893,4.45536,11.529,23.2177,28.2369,8.94958,0.203761,1.36086
43+z.14.2,41.6799,3.17101,9.26355,16.7752,43.3615,52.3546,8.53415,0.194302,1.46839
44+z.15.2,41.9596,2.28734,7.78967,22.2989,43.007,51.4903,11.5979,0.264056,1.33079
45+z.16.2,29.1034,1.06934,4.3964,19.7087,29.5837,34.8458,16.903,0.38484,1.21714
46+z.17.2,18.0927,0.446655,2.28137,13.7843,18.238,21.2152,26.0884,0.593972,1.13647
47+z.18.2,11.4966,0.0281318,1.27085,9.68907,11.4453,13.4001,2040.75,46.463,0.999424
48+z.19.2,8.22872,0.60278,1.9328,6.74632,7.80629,11.8548,10.2815,0.234085,1.36047
49+z.20.2,7.25929,1.44757,3.92888,5.27202,6.15283,17.4259,7.36648,0.167717,1.64283
50+y_init_rep.1,34.5021,0.597151,11.7098,18.4742,33.6251,53.3351,384.533,8.7549,1.0245
51+y_init_rep.2,7.21604,1.37922,6.18486,3.67394,6.05025,13.0962,20.1091,0.457836,1.14949
52+y_rep.1.1,49.6029,1.17713,15.8736,26.8651,48.1115,77.5111,181.846,4.1402,1.03282
53+y_rep.2.1,65.6592,1.92507,20.9419,33.5212,64.1804,101.526,118.342,2.69437,1.04381
54+y_rep.3.1,65.8215,2.27312,21.8054,32.5962,63.9693,103.527,92.0205,2.09509,1.0491
55+y_rep.4.1,38.8057,0.913155,13.3141,20.2824,37.4112,61.277,212.586,4.84008,1.02773
56+y_rep.5.1,20.4513,0.190555,9.14872,11.5876,19.2625,31.7285,2305.04,52.4804,1.0095
57+y_rep.6.1,15.002,1.54947,7.94977,8.44383,13.572,24.958,26.3236,0.599325,1.11021
58+y_rep.7.1,15.5336,2.74928,10.9051,8.4868,13.2764,28.4398,15.7334,0.358213,1.19419
59+y_rep.8.1,18.9462,3.53272,13.8956,10.3585,15.9825,35.2354,15.4716,0.352251,1.20153
60+y_rep.9.1,23.8906,2.17905,12.5531,13.9485,21.6241,39.375,33.187,0.75559,1.08972
61+y_rep.10.1,31.3293,0.202558,10.238,17.6038,30.2702,48.1315,2554.64,58.1632,1.01104
62+y_rep.11.1,44.4586,2.52729,14.8604,20.68,43.7218,69.5339,34.5739,0.787166,1.0948
63+y_rep.12.1,61.2361,3.66507,20.8968,25.8531,60.2237,95.668,32.5081,0.740133,1.10638
64+y_rep.13.1,68.8685,3.08256,23.6654,30.6866,67.2599,108.059,58.9393,1.34191,1.07257
65+y_rep.14.1,47.946,0.257527,16.4429,27.7073,45.5129,74.7047,4076.71,92.817,0.999829
66+y_rep.15.1,24.9863,1.60179,12.1474,14.2468,22.7857,39.3561,57.5116,1.3094,1.06151
67+y_rep.16.1,15.7042,1.35631,8.02208,8.96331,14.4252,24.5383,34.983,0.796481,1.07346
68+y_rep.17.1,14.3782,1.45743,10.3012,8.01172,12.8242,23.8815,49.9575,1.13741,1.06061
69+y_rep.18.1,16.6045,1.93904,9.9146,9.34967,14.8734,27.8041,26.1443,0.595244,1.11502
70+y_rep.19.1,22.239,2.77512,13.2078,12.6193,19.6484,37.6966,22.6516,0.515724,1.13601
71+y_rep.20.1,30.4591,1.58638,13.6456,17.4391,28.1192,48.8753,73.9895,1.68457,1.05265
72+y_rep.1.2,8.13331,0.86532,5.90096,4.43433,7.22053,13.2894,46.5042,1.05879,1.06989
73+y_rep.2.2,13.6211,0.15581,6.0178,7.32755,12.7028,22.1245,1491.72,33.963,1.0201
74+y_rep.3.2,30.1422,0.190016,11.1543,15.4103,28.8535,48.0693,3445.92,78.4554,1.00407
75+y_rep.4.2,46.5288,1.72603,17.3838,19.818,45.4373,73.0667,101.436,2.30946,1.04726
76+y_rep.5.2,40.0541,1.8011,14.7892,16.0608,38.974,63.4554,67.424,1.53509,1.05928
77+y_rep.6.2,26.2139,1.09933,9.53752,11.5791,25.6257,41.6997,75.2692,1.7137,1.05582
78+y_rep.7.2,16.6987,0.117008,6.17586,8.87287,16.1027,26.4051,2785.9,63.4283,1.00525
79+y_rep.8.2,11.5973,1.16294,6.82994,6.41084,10.3807,19.1525,34.4923,0.785307,1.09011
80+y_rep.9.2,9.24866,2.38355,10.0416,4.55939,7.26526,18.7642,17.7482,0.404084,1.17051
81+y_rep.10.2,8.28996,2.70709,10.1537,3.8488,6.11848,21.109,14.0685,0.320306,1.22978
82+y_rep.11.2,7.98653,1.51614,6.67171,4.15317,6.68692,15.6427,19.364,0.440873,1.16498
83+y_rep.12.2,11.3729,0.136065,5.3519,6.2277,10.5741,18.5103,1547.13,35.2244,1.01805
84+y_rep.13.2,23.8521,0.601036,10.0096,10.6177,22.9822,38.1415,277.354,6.31469,1.02273
85+y_rep.14.2,43.7818,1.95417,16.1422,17.6983,42.8497,69.6299,68.2339,1.55352,1.0603
86+y_rep.15.2,43.867,1.11363,15.4305,20.7023,42.6827,68.4142,191.988,4.37112,1.0298
87+y_rep.16.2,30.4857,0.292178,10.9788,15.698,29.4129,48.099,1411.93,32.1462,1.00742
88+y_rep.17.2,19.103,0.115359,7.30892,10.4094,18.2322,29.8983,4014.21,91.3941,0.999442
89+y_rep.18.2,12.218,0.099713,5.95696,6.72804,11.5176,19.1898,3568.99,81.2575,1.01072
90+y_rep.19.2,9.14619,1.31191,6.60665,4.97516,7.98803,15.4956,25.3604,0.577396,1.11494
91+y_rep.20.2,8.13427,2.2178,11.4351,3.97304,6.30119,15.2182,26.5848,0.605273,1.11008
92+lp__,-17.7731,4.87204,11.7828,-53.0924,-13.9453,-11.0957,5.84888,0.133165,1.91698
93+accept_stat__,0.789071,0.172844,0.327116,4.39671e-9,0.939337,1,3.58175,0.081548,2.16675
94+stepsize__,0.40671,0.157752,0.22343,0.0273116,0.551033,0.58438,2.00602,0.0456723,81859500000000
95+treedepth__,3.456,1.07763,1.6035,1,3,6,2.21409,0.0504096,3.59962
96+n_leapfrog__,25.322,23.9957,37.2105,3,7,127,2.40471,0.0547495,2.35684
97+divergent__,0.05775,NaN,0.233299,0,0,1,NaN,NaN,NaN
98+energy__,21.7485,4.9184,11.9748,13.8285,17.9971,57.1628,5.92773,0.13496,1.86392
lotka-volterra/main.sampleadded+0−0View file
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lotka-volterra/main.stanadded+57−0View file
@@ -0,0 +1,57 @@
1+// Read the accompanying case study:
2+// https://mc-stan.org/learn-stan/case-studies/lotka-volterra-predator-prey.html
3+functions {
4+ vector dz_dt(real t, // time
5+ vector z, real alpha, real beta, real gamma, real delta) {
6+ real u = z[1];
7+ real v = z[2];
8+
9+ real du_dt = (alpha - beta * v) * u;
10+ real dv_dt = (-gamma + delta * u) * v;
11+
12+ return [du_dt, dv_dt]';
13+ }
14+}
15+data {
16+ int<lower=0> N; // number of measurement times
17+ array[N] real ts; // measurement times > 0
18+ array[2] real y_init; // initial measured populations
19+ array[N, 2] real<lower=0> y; // measured populations
20+}
21+transformed data {
22+ real rel_tol = 1e-5;
23+ real abs_tol = 1e-3;
24+ int max_num_steps = to_int(5e2);
25+}
26+parameters {
27+ real<lower=0> alpha, beta, gamma, delta;
28+ vector<lower=0>[2] z_init; // initial population
29+ array[2] real<lower=0> sigma; // measurement errors
30+}
31+transformed parameters {
32+ array[N] vector[2] z = ode_rk45_tol(dz_dt, z_init, 0.0, ts, rel_tol,
33+ abs_tol, max_num_steps, alpha, beta,
34+ gamma, delta);
35+}
36+model {
37+ alpha ~ normal(1, 0.5);
38+ gamma ~ normal(1, 0.5);
39+ beta ~ normal(0.05, 0.05);
40+ delta ~ normal(0.05, 0.05);
41+ sigma ~ lognormal(-1, 1);
42+ z_init ~ lognormal(log(10), 1);
43+ for (k in 1 : 2) {
44+ y_init[k] ~ lognormal(log(z_init[k]), sigma[k]);
45+ y[ : , k] ~ lognormal(log(z[ : , k]), sigma[k]);
46+ }
47+}
48+generated quantities {
49+ array[2] real y_init_rep;
50+ array[N, 2] real y_rep;
51+ for (k in 1 : 2) {
52+ y_init_rep[k] = lognormal_rng(log(z_init[k]), sigma[k]);
53+ for (n in 1 : N) {
54+ y_rep[n, k] = lognormal_rng(log(z[n, k]), sigma[k]);
55+ }
56+ }
57+}