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2015
Using Rule Ensembles
to Predict Credit Risk
Diane Chang, Intuit
October 16, 2015
#GHC15
2015
2015
Trade-off: speed vs. rates
2015
Can accounting data help?
2015
Low credit risk?
2015
Traditionally, one big model
Annual Revenue
≤ $100K > $100K
In TX Not in TX RetailNon-retail
State Industry
… …
2015
Ensemble methods
2015
Lots of little trees
2015
Trees  Rules
Time in Business
≤ 3 yrs > 3 yrs
> 8 > 10%≤ 10%
# Invoices Sales Growth
≤ 8
2015
Trees  Rules
Time in Business
≤ 3 yrs > 3 yrs
# Invoices Sales Growth
Rule 1: Time in Business ≤ 3 yrs
Rule 2: Time in Business > 3 yrs
Rule 3: Time in Business ≤ 3 yrs and # Invoices ≤ 8
Rule 4: Time in Business ≤ 3 yrs and # Invoices > 8
1 2
Rule 5: Time in Business > 3 yrs and Sales Growth ≤ 10%
Rule 6: Time in Business > 3 yrs and Sales Growth > 10%
≤ 8
3
> 8
4
≤ 10%
5
> 10%
6
2015
A lot of rules!
Rule 1
Rule 2
Rule 3
Rule 4
Rule 5
Rule 6
…
Rule 1
Rule 2
Rule 3
Rule 4
…
Rule n
2015
Which rule is most predictive?
w1* R1 + w2* R2 + w3* R3 + … + wn* Rn
Weights, wi’s,
computed via
logistic regression
2015
Scoring
https://en.wikipedia.org/wiki/Logistic_regression
loge
p
1- p
p =
1
1+e-score
score = loge
p
1- p
= w0 + w1R1 + w2R2 +...+wnRn
2015
Example
R1: Time in Business ≤ 3 yrs
R2: Time in Business > 3 yrs
R3: Time in Business ≤ 3 yrs & Invoices ≤ 8
R4: Time in Business ≤ 3 yrs & Invoices > 8
R5: Time in Business > 3 yrs & Sales Growth ≤ 10%
R6: Time in Business > 3 yrs & Sales Growth > 10%
✓
✗
✗
✗
✗
✓
score = -2 + 0.1 − 0.6 = -2.5
Make a loan offer!
• 2 years in business
• 10 invoices per month
• Sales growth: 12%
score =-2+0.1R1 -0.25R2 +0.14R3 -0.6R4 +0.01R5 -0.07R6
p =
1
1+e2.5
» 0.08
2015
Rule ensembles RULE
Rule
Ensemble
Logistic
Regression
✔ ✖
✔
✔
✖
✖
Missing data
High predictive power
Large number of variables
2015
Try it yourself!
 Professor Friedman’s website:
− http://statweb.stanford.edu/~jhf/R_RuleFit.html
 Open source “wrapper” to RuleFit
− https://github.com/intuit/rego
2015
Got Feedback?
Rate and Review the session using the GHC
Mobile App
To download visit www.gracehopper.org

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Using Rule Ensembles to Predict Credit Risk #GHC15