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CircleCI build openturns 19499
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CircleCI committed Sep 5, 2024
1 parent 81faa05 commit 88a68fc
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Expand Up @@ -13,7 +13,6 @@
# HSIC estimators rely on a reproducing kernel of a Hilbert space. We can use them to compute sensitivity
# indices. We present the methods on the :ref:`Ishigami function<use-case-ishigami>`.


# %%
# Definition of the model
# -----------------------
Expand Down Expand Up @@ -148,7 +147,7 @@
dist2criticalDomain = ot.DistanceToDomainFunction(criticalDomain)

# %%
# We define the parameters in our function from the output sample
# We define the empirical parameter values in our function from the output sample
s = 0.1 * Y.computeStandardDeviation()[0]

# %%
Expand All @@ -158,6 +157,11 @@
phi = ot.ParametricFunction(f, [1], [s])
filterFunction = ot.ComposedFunction(phi, dist2criticalDomain)

# %%
# We modify the output covariance kernel so as to adapt it to the filtered output
Y_filtered = filterFunction(Y)
outputCovariance.setScale(Y_filtered.computeStandardDeviation())
covarianceModelCollection[-1] = outputCovariance

# %%
# We choose an unbiased estimator
Expand Down Expand Up @@ -214,6 +218,11 @@
# Here the weight function is the filter function we used previously.
weightFunction = filterFunction

# %%
# We revert to the covariance kernel associated to the unfiltered output
outputCovariance.setScale(Y.computeStandardDeviation())
covarianceModelCollection[-1] = outputCovariance

# %%
# We have to select a biased -but asymptotically unbiased- estimator
estimatorType = ot.HSICVStat()
Expand Down
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Expand Up @@ -313,7 +313,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"We define the parameters in our function from the output sample\n\n"
"We define the empirical parameter values in our function from the output sample\n\n"
]
},
{
Expand Down Expand Up @@ -345,6 +345,24 @@
"f = ot.SymbolicFunction([\"x\", \"s\"], [\"exp(-x/s)\"])\nphi = ot.ParametricFunction(f, [1], [s])\nfilterFunction = ot.ComposedFunction(phi, dist2criticalDomain)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We modify the output covariance kernel so as to adapt it to the filtered output\n\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Y_filtered = filterFunction(Y)\noutputCovariance.setScale(Y_filtered.computeStandardDeviation())\ncovarianceModelCollection[-1] = outputCovariance"
]
},
{
"cell_type": "markdown",
"metadata": {},
Expand Down Expand Up @@ -489,6 +507,24 @@
"weightFunction = filterFunction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We revert to the covariance kernel associated to the unfiltered output\n\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"outputCovariance.setScale(Y.computeStandardDeviation())\ncovarianceModelCollection[-1] = outputCovariance"
]
},
{
"cell_type": "markdown",
"metadata": {},
Expand Down
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