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The ActiveLearning4SPM
package implements the
methodology of Capezza, Lepore, and Paynabar (2025) for
stream-based active learning for process
monitoring:
The package provides tools to:
The methodology is motivated by process monitoring in industrial applications where obtaining labels is costly.
You can install the development version from GitHub:
# install.packages("devtools")
::install_github("unina-sfere/ActiveLearning4SPM") devtools
Once on CRAN, you’ll be able to install with:
install.packages("streamALpHMM")
library(ActiveLearning4SPM)
set.seed(123)
<- simulate_stream(T0 = 100, TT = 500, d = 10)
dat str(dat)
## List of 2
## $ x: num [1:600] 1 1 1 1 1 1 1 1 1 1 ...
## $ y: num [1:600, 1:10] 0.756 -0.872 -0.279 1.43 0.618 ...
<- dat$y
y <- ncol(y)
d <- dat$x
xlabeled sample(1:600, 400)] <- NA # partially labeled
xlabeled[
<- fit_pHMM(
fit y = y,
xlabeled = xlabeled,
nstates = 3,
mean_start = list(rep(0, d), rep(1, d), rep(-1, d)),
equal_covariance = TRUE
)$AIC fit
## [1] 12711.52
<- fit_pHMM_auto(y = y, xlabeled = xlabeled, max_nstates = 3)
fit_auto $AIC fit_auto
## [1] 12711.52
<- dat$y[1:200, ]
y <- dat$x[1:200]
true_x <- active_learning_pHMM(y = y,
out true_x = true_x,
T0 = 100,
B = 0.1,
verbose = TRUE)
## t=101 | Available labels: 10 | Explor. p-value = 0.212 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=102 | Available labels: 10 | Explor. p-value = 0.314 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=103 | Available labels: 10 | Explor. p-value = 0.696 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=104 | Available labels: 10 | Explor. p-value = 0.744 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=105 | Available labels: 10 | Explor. p-value = 0.254 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=106 | Available labels: 10 | Explor. p-value = 0.174 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=107 | Available labels: 10 | Explor. p-value = 0.064 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=108 | Available labels: 10 | Explor. p-value = 0.571 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=109 | Available labels: 10 | Explor. p-value = 0.046 | Exploit. p-value = 1.000 | True state = 1 | Decision = label_exploration
## t=110 | Available labels: 9 | Explor. p-value = 0.062 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=111 | Available labels: 9 | Explor. p-value = 0.221 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=112 | Available labels: 9 | Explor. p-value = 0.167 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=113 | Available labels: 9 | Explor. p-value = 0.872 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=114 | Available labels: 9 | Explor. p-value = 0.799 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=115 | Available labels: 9 | Explor. p-value = 0.489 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=116 | Available labels: 9 | Explor. p-value = 0.234 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=117 | Available labels: 9 | Explor. p-value = 0.567 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=118 | Available labels: 9 | Explor. p-value = 0.392 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=119 | Available labels: 9 | Explor. p-value = 0.648 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=120 | Available labels: 9 | Explor. p-value = 0.959 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=121 | Available labels: 9 | Explor. p-value = 0.902 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=122 | Available labels: 9 | Explor. p-value = 0.519 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=123 | Available labels: 9 | Explor. p-value = 0.524 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=124 | Available labels: 9 | Explor. p-value = 0.506 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=125 | Available labels: 9 | Explor. p-value = 0.695 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=126 | Available labels: 9 | Explor. p-value = 0.891 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=127 | Available labels: 9 | Explor. p-value = 0.928 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=128 | Available labels: 9 | Explor. p-value = 0.841 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=129 | Available labels: 9 | Explor. p-value = 0.736 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=130 | Available labels: 9 | Explor. p-value = 0.899 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=131 | Available labels: 9 | Explor. p-value = 0.828 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=132 | Available labels: 9 | Explor. p-value = 0.178 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=133 | Available labels: 9 | Explor. p-value = 0.086 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=134 | Available labels: 9 | Explor. p-value = 0.275 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=135 | Available labels: 9 | Explor. p-value = 0.483 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=136 | Available labels: 9 | Explor. p-value = 0.851 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=137 | Available labels: 9 | Explor. p-value = 0.879 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=138 | Available labels: 9 | Explor. p-value = 0.090 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=139 | Available labels: 9 | Explor. p-value = 0.008 | Exploit. p-value = 1.000 | True state = 1 | Decision = label_exploration
## t=140 | Available labels: 8 | Explor. p-value = 0.271 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=141 | Available labels: 8 | Explor. p-value = 0.578 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=142 | Available labels: 8 | Explor. p-value = 0.295 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=143 | Available labels: 8 | Explor. p-value = 0.400 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=144 | Available labels: 8 | Explor. p-value = 0.477 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=145 | Available labels: 8 | Explor. p-value = 0.491 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=146 | Available labels: 8 | Explor. p-value = 0.416 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=147 | Available labels: 8 | Explor. p-value = 0.783 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=148 | Available labels: 8 | Explor. p-value = 0.503 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=149 | Available labels: 8 | Explor. p-value = 0.160 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=150 | Available labels: 8 | Explor. p-value = 0.309 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=151 | Available labels: 8 | Explor. p-value = 0.163 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=152 | Available labels: 8 | Explor. p-value = 0.180 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=153 | Available labels: 8 | Explor. p-value = 0.243 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=154 | Available labels: 8 | Explor. p-value = 0.700 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=155 | Available labels: 8 | Explor. p-value = 0.960 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=156 | Available labels: 8 | Explor. p-value = 0.503 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=157 | Available labels: 8 | Explor. p-value = 0.518 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=158 | Available labels: 8 | Explor. p-value = 0.217 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=159 | Available labels: 8 | Explor. p-value = 0.934 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=160 | Available labels: 8 | Explor. p-value = 0.883 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=161 | Available labels: 8 | Explor. p-value = 0.791 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=162 | Available labels: 8 | Explor. p-value = 0.570 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=163 | Available labels: 8 | Explor. p-value = 0.237 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=164 | Available labels: 8 | Explor. p-value = 0.035 | Exploit. p-value = 1.000 | True state = 1 | Decision = label_exploration
## t=165 | Available labels: 7 | Explor. p-value = 0.240 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=166 | Available labels: 7 | Explor. p-value = 0.378 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=167 | Available labels: 7 | Explor. p-value = 0.374 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=168 | Available labels: 7 | Explor. p-value = 0.234 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=169 | Available labels: 7 | Explor. p-value = 0.251 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=170 | Available labels: 7 | Explor. p-value = 0.344 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=171 | Available labels: 7 | Explor. p-value = 0.789 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=172 | Available labels: 7 | Explor. p-value = 0.608 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=173 | Available labels: 7 | Explor. p-value = 0.482 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=174 | Available labels: 7 | Explor. p-value = 0.497 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=175 | Available labels: 7 | Explor. p-value = 0.706 | Exploit. p-value = 1.000 | True state = 1 | Decision = 1
## t=176 | Available labels: 7 | Explor. p-value = 0.093 | Exploit. p-value = 1.000 | True state = 2 | Decision = label_exploration
## t=177 | Available labels: 6 | Explor. p-value = 0.008 | Exploit. p-value = 0.500 | True state = 2 | Decision = label_exploration
## t=178 | Available labels: 5 | Explor. p-value = 0.353 | Exploit. p-value = 0.300 | True state = 2 | Decision = 2
## t=179 | Available labels: 5 | Explor. p-value = 0.722 | Exploit. p-value = 0.200 | True state = 2 | Decision = 2
## t=180 | Available labels: 5 | Explor. p-value = 0.949 | Exploit. p-value = 0.650 | True state = 2 | Decision = 2
## t=181 | Available labels: 5 | Explor. p-value = 0.947 | Exploit. p-value = 0.250 | True state = 1 | Decision = 2
## t=182 | Available labels: 5 | Explor. p-value = 0.029 | Exploit. p-value = 0.650 | True state = 1 | Decision = label_exploration
## t=183 | Available labels: 4 | Explor. p-value = 0.018 | Exploit. p-value = 0.100 | True state = 1 | Decision = label_exploitation
## t=184 | Available labels: 3 | Explor. p-value = 0.105 | Exploit. p-value = 0.455 | True state = 1 | Decision = 1
## t=185 | Available labels: 3 | Explor. p-value = 0.060 | Exploit. p-value = 0.381 | True state = 1 | Decision = label_exploration
## t=186 | Available labels: 2 | Explor. p-value = 0.401 | Exploit. p-value = 0.033 | True state = 1 | Decision = label_exploitation
## t=187 | Available labels: 1 | Explor. p-value = 0.861 | Exploit. p-value = 0.804 | True state = 1 | Decision = 1
## t=188 | Available labels: 1 | Explor. p-value = 0.618 | Exploit. p-value = 0.058 | True state = 1 | Decision = 1
## t=189 | Available labels: 1 | Explor. p-value = 0.513 | Exploit. p-value = 0.146 | True state = 1 | Decision = 1
## t=190 | Available labels: 1 | Explor. p-value = 0.154 | Exploit. p-value = 0.182 | True state = 1 | Decision = 1
## t=191 | Available labels: 1 | Explor. p-value = 0.602 | Exploit. p-value = 0.525 | True state = 1 | Decision = 1
## t=192 | Available labels: 1 | Explor. p-value = 0.441 | Exploit. p-value = 0.056 | True state = 1 | Decision = 1
## t=193 | Available labels: 1 | Explor. p-value = 0.582 | Exploit. p-value = 0.469 | True state = 1 | Decision = 1
## t=194 | Available labels: 1 | Explor. p-value = 0.502 | Exploit. p-value = 0.857 | True state = 1 | Decision = 1
## t=195 | Available labels: 1 | Explor. p-value = 0.803 | Exploit. p-value = 0.792 | True state = 1 | Decision = 1
## t=196 | Available labels: 1 | Explor. p-value = 0.371 | Exploit. p-value = 0.200 | True state = 1 | Decision = 1
## t=197 | Available labels: 1 | Explor. p-value = 0.703 | Exploit. p-value = 0.700 | True state = 1 | Decision = 1
## t=198 | Available labels: 1 | Explor. p-value = 0.676 | Exploit. p-value = 0.500 | True state = 1 | Decision = 1
## t=199 | Available labels: 1 | Explor. p-value = 0.611 | Exploit. p-value = 0.400 | True state = 1 | Decision = 1
## t=200 | Available labels: 1 | Explor. p-value = 0.182 | Exploit. p-value = 0.150 | True state = 1 | Decision = label_exploitation
table(out$xhat, true_x)
## true_x
## 1 2
## 1 194 0
## 2 1 5
$scores out
## $accuracy
## [1] 0.99
##
## $precision
## [1] 0.8333333
##
## $recall
## [1] 1
##
## $f1
## [1] 0.9090909
##
## $auc
## [1] 0.9947368
These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
Health stats visible at Monitor.