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Reading PDP and ICE

Reference for partial-dependence-plot-builder · 57 lines

AI & Machine Learning / Classical Machine Learningv1.0.0Updated OCT 25 20263 references2 scripts

Shapes

ShapeReadingFollow-up
Monotonic, smoothsteady responsecandidate for a monotonic constraint
Step / thresholdthe model splits near a value (trees)check the threshold against domain knowledge (policy limits, pricing tiers)
U or inverted Uoptimum in the middleconfirm with data support at both ends
Flat PDP, wide ICE fanopposite effects cancelfind the separator: an interaction
Flat PDP, flat ICEno effect in this rangeconsistent with low permutation importance
Saw-toothoverfitting to noise in the featureregularise; smooth with ALE to compare
Jump at the tailsextrapolation or rare outliersignore outside the rug; cap the feature

Heterogeneity

ice_analysis.py distinguishes:

  • Opposite effects: some rows go up while others go down. Classic example: a discount raises conversion for price-sensitive customers and has no or a negative effect for loyal ones. The PDP may look flat.
  • Subgroups of different strength: everyone moves the same way, by clearly different amounts. Fixture example: 20 customers lose 0.49 probability over the tenure range, while 10 on monthly contracts lose only 0.16. The separator contract_monthly (AUC 1.00) names the interaction.

After a separator is found, plot ICE coloured by it, or draw a two-way PDP (--pair). Confirm with SHAP interaction values for tree models.

Support

PDP values at grid points with no nearby data are model extrapolation. Always draw a rug (the generated plot does). ice_analysis.py --features flags grid points outside the 5th-95th percentile. Correlated features shrink the realistic region further: a PDP over tenure at a fixed monthly-charge combination may never occur, and ALE avoids that.

Misreadings

MisreadingCorrect
"Raising X by 10 lowers churn by 5 points"the model's prediction changes; it says nothing about intervening on X
Reading the PDP where the rug is emptyno data there: extrapolation
PDP of a feature correlated with othersaverages over impossible rows: prefer ALE
Uncentred ICE "all parallel"level differences hide shape; centre the curves
Ignoring the response scaleprobability effects are not additive; log-odds are
Comparing PDP magnitudes across modelsdepends on each model's calibration; compare on the same scale

Worked fixture example

text
$ python ice_analysis.py ice_tenure.csv --features ice_rows.csv
PDP decreases by 0.3805 over the grid (range 0.3805); 100% of steps go the same way
centred ICE: 0 up, 30 down, 0 flat; end-point spread sd 0.1561 (0.41 x the PDP range)
SUBGROUPS: two groups of curves with different strength: 20 rows change by -0.4885, 10 rows by -0.1645
  separator: contract_monthly (AUC 1.00: the -0.1645 group has higher contract_monthly)
WARNING: 4 grid value(s) outside the 5th-95th percentile [3, 46.65]: the curve there is extrapolation

Reading: longer tenure lowers predicted churn for everyone, but much less for monthly-contract customers. Report the two groups separately, and do not read the curve beyond about 47 months.

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