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K <- 4 | |
D <- 1000 | |
M_trn <- 9 | |
M_tst <- 3 | |
proby_trn <- structure(c(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 1, 1, 1, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 1, 1, 1), .Dim=c(9, 4)) | |
tpor_trn <- structure(c(1.01207e-05, 8.78817e-05, 5.01181e-06, 1.19763e-06, 0.000143943, 3.11904e-08, 1.83136e-05, 2.91702e-05, 1.94456e-05, 4.31514e-05, 2.84705e-05, 6.11549e-06, 2.299e-06, 0.000180823, 2.78093e-08, 2.57135e-05, 0.000105035, 4.86663e-05, 2.35292e-05, 8.56379e-06, 3.44704e-06, 5.21752e-07, 2.61876e-05, 1.74499e-09, 1.07338e-05, 3.41347e-05, 3.77774e-05, 2.214e-05, 1.48449e-05, 4.70669e-06, 6.86431e-07, 1.33485e-05, 0, 5.44041e-06, 3.25767e-05, 8.47303e-06, 1.52004e-05, 9.99668e-06, 2.46284e-06, 7.87308e-07, 1.09859e-05, 0, 3.39304e-06, 1.239e-05, 2.67495e-06, 2.52913e-05, 1.10843e-05, 5.10063e-06, 6.15147e-07, 3.27169e-06, 0, 3.28779e-06, 1.93232e-06, 3.01899e-06, 2.03921e-05, 2.98715e-06, 4.00504e-06, 1.77206e-07, 7.91671e-06, 0, 2.11167e-06, 1.14282e-06, 2.8545e-07, 1.46677e-05, 1.96238e-06, 1.72603e-07, 6.73256e-07, 1.51484e-05, 0, 1.67988e-06, 3.28988e-07, 6.27241e-07, 6.70429e-06, 5.68485e-07, 2.97398e-07, 7.60541e-07, 9.67875e-06, 0, 1.85588e-07, 2.93878e-07, 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tpor_tst <- structure(c(6.15425e-06, 1.612e-05, 6.67992e-06, 1.8274e-05, 7.16458e-05, 2.44722e-05, 9.83242e-06, 2.51511e-05, 1.86932e-05, 3.76341e-06, 2.4207e-05, 6.41558e-06, 3.26639e-06, 1.11875e-05, 5.0085e-06, 3.18271e-06, 5.05332e-06, 3.20555e-06, 1.08079e-06, 1.53203e-06, 2.01494e-06, 3.016e-06, 3.81486e-07, 2.57385e-07, 3.09434e-06, 1.29187e-07, 9.11442e-07, 1.33599e-06, 1.23022e-07, 1.58449e-07, 1.22619e-05, 5.74187e-05, 1.80895e-05, 0.000772006, 0.00114387, 0.000912252, 0.00087953, 0.000967416, 0.00279704, 0.000296602, 0.000591244, 0.000184259, 3.71871e-05, 0.000149128, 0.000249197, 2.1387e-05, 8.136e-05, 0.000165264, 2.96989e-05, 2.35943e-05, 9.44174e-05, 4.12363e-05, 7.90364e-06, 5.94524e-06, 9.43615e-06, 4.17291e-06, 1.58199e-05, 4.39192e-06, 8.64199e-07, 4.42564e-06, 5.96846e-06, 8.91109e-06, 1.02656e-05, 0.000595337, 0.000952082, 0.00116614, 0.00422183, 0.00359884, 0.00818098, 0.00287068, 0.00268214, 0.00268348, 0.000797591, 0.00145752, 0.000879278, 0.000569517, 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1.27811e-05), .Dim=c(3, 1000)) |
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alpha <- 2 | |
sigma <- 0.1 | |
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.Dim=c(4, 1000)) | |
tendencies_alpha <- structure(c(1.0, 1.0, 1.0, 1.0), .Dim=c(4)) | |
tendencies_beta <- structure(c(1.0, 1.0, 1.0, 1.0), .Dim=c(4)) | |
proby_tst <- structure(c(0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5), .Dim=c(3, 4)) | |
theta_trn <- structure(c(0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25), .Dim=c(9, 4)) | |
theta_tst <- structure(c(0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25, 0.25), .Dim=c(3, 4)) |
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/* | |
// semi-supervised modelling of 'tpor' data as a sparse(ish) sum of per-class components | |
// by Dan Stowell 2013 | |
cd ~/dev/stan/stan && make ~/git/stored_docs/dev/stan/sumsemi | |
cd ~/git/stored_docs/dev/stan/ | |
./sumsemi --data=pilotters_tpor_1d.data.R --init=pilotters_tpor_1d.init.R | |
*/ | |
data { | |
int<lower=2> K; // num species ("topics") | |
int<lower=1> D; // dimensionality of the tpor features | |
int<lower=1> M_trn; // num audio files | |
int<lower=1> M_tst; // num audio files | |
vector<lower=1e-6,upper=1>[K] proby_trn[M_trn]; // species presence proby for each audio | |
vector<lower=0,upper=1>[D] tpor_trn[M_trn]; // feature data | |
vector<lower=0,upper=1>[D] tpor_tst[M_tst]; // feature data | |
} | |
parameters { | |
// NB: ARBITRARY UPPER LIMITS ADDED TO CONSTRAIN WHILE DEBUGGING | |
real<lower=1e-6,upper=10> alpha; // concentration parameter, controlling sparsity for the dirichlet | |
real<lower=1e-6,upper=10> sigma; // noise stdev | |
simplex[D] tpl[K]; // template for tpor for species k | |
// global tendencies for each species to be present (specified as beta params) | |
vector<lower=0.5,upper=2>[K] tendencies_alpha; | |
vector<lower=0.5,upper=2>[K] tendencies_beta; | |
vector<lower=1e-6,upper=1>[K] proby_tst[M_tst]; // species presence proby for each audio | |
simplex[K] theta_trn[M_trn]; // mixing parameters for audio M, derived from the probys and the concentration | |
simplex[K] theta_tst[M_tst]; // mixing parameters for audio M, derived from the probys and the concentration | |
} | |
model { | |
vector[D] tplsum; | |
print("lp__: ", lp__); | |
alpha ~ exponential(0.5); | |
sigma ~ exponential(2.0); | |
tendencies_alpha ~ exponential(0.5); | |
tendencies_beta ~ exponential(0.5); | |
print("alpha: ", alpha); | |
print("sigma: ", sigma); | |
print("tendencies_alpha: ", tendencies_alpha); | |
print("tendencies_beta: ", tendencies_beta); | |
for (m in 1:M_trn) { | |
proby_trn[m] ~ beta(tendencies_alpha, tendencies_beta); | |
theta_trn[m] ~ dirichlet(proby_trn[m] * alpha); | |
tplsum <- rep_vector(0.0, D); | |
for (k in 1:K){ | |
tplsum <- tplsum + (theta_trn[m,k] * tpl[k]); | |
} | |
tpor_trn[m] ~ normal(tplsum, sigma); | |
} | |
for (m in 1:M_tst) { | |
proby_tst[m] ~ beta(tendencies_alpha, tendencies_beta); | |
theta_tst[m] ~ dirichlet(proby_tst[m] * alpha); | |
tplsum <- rep_vector(0.0, D); | |
for (k in 1:K){ | |
tplsum <- tplsum + (theta_tst[m,k] * tpl[k]); | |
} | |
tpor_tst[m] ~ normal(tplsum, sigma); | |
} | |
} |
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