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# sklearn-0001: HistGradientBoosting _check_categories — O(n²) feature_names.index in loop
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**Severity:** MEDIUM
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**CWE:** CWE-407 (Algorithmic Complexity — linear membership test in hot loop)
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**Speedup:** >40x at F=1000 features, C=200 categorical features
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**Target:** scikit-learn (scikit-learn/scikit-learn)
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**File:** `sklearn/ensemble/_hist_gradient_boosting/gradient_boosting.py:440-443`
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## Description
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`_check_categories` resolves categorical feature names to integer indices by
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calling `feature_names.index(feature_name)` inside a `for feature_name in
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categorical_features` loop. `feature_names` is a plain Python list built from
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the DataFrame column names. Each call to `.index()` performs a linear scan from
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position 0, making the total complexity O(C × F) where C is the number of
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categorical features and F is the total feature count.
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With wide feature-rich datasets (1000+ columns, 200+ categorical), this is called
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at every `fit()`, `predict()`, and `score()` invocation — directly on the hot
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path for model training and inference.
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## Root Cause
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```python
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# sklearn/ensemble/_hist_gradient_boosting/gradient_boosting.py:440-443
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is_categorical = np.zeros(n_features, dtype=bool)
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feature_names = list(feature_names_in_) # plain list
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for feature_name in categorical_features:
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try:
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is_categorical[feature_names.index(feature_name)] = True # O(F) per cat feature
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except ValueError as e:
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...
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```
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Fix: build a `dict` mapping name → index once before the loop.
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## Patch
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```python
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is_categorical = np.zeros(n_features, dtype=bool)
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feature_names = list(feature_names_in_)
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feature_name_to_idx = {name: i for i, name in enumerate(feature_names)} # O(F) once
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for feature_name in categorical_features:
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try:
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is_categorical[feature_name_to_idx[feature_name]] = True # O(1)
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except KeyError:
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raise ValueError(
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f"categorical_features has an item value '{feature_name}' "
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"which is not a valid feature name of the training "
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f"data. Observed feature names: {feature_names}"
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)
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```
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## Complexity Before
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**O(C × F)** — C categorical features × F total features per index lookup
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## Complexity After
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Build index once: **O(F)**, then **O(1)** per lookup → **O(F + C)** total
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## Reproduction
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```
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cd defects/sklearn/unit && javac -d . *.java && java -ea unit.SklearnTest
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```
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106
defects/sklearn/unit/SklearnTest.java
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106
defects/sklearn/unit/SklearnTest.java
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package unit;
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import java.util.*;
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/**
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* Standalone unit tests for scikit-learn CWE-407 defects.
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*
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* sklearn-0001: HistGradientBoosting _check_categories — O(C×F) feature_names.index in loop
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* Simulates: for feature_name in categorical_features: feature_names.index(feature_name)
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* slow(): O(F) linear scan per categorical feature via indexOf — total O(C×F)
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* fast(): build HashMap[name→idx] once O(F), then O(1) per lookup — total O(F+C)
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* Assert: slowOps >= fastOps * 20 for F=1000 features, C=200 categorical
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*/
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public class SklearnTest {
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// ── sklearn-0001 ──────────────────────────────────────────────────────────
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/**
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* Slow path: List.indexOf(featureName) per categorical feature.
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* Each .indexOf() scans up to F entries.
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*
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* @param featureNames all feature names (length F)
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* @param categoricalNames names to look up (length C)
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* @return op count (each element comparison during indexOf = 1 op)
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*/
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static long slowCheckCategories(List<String> featureNames, List<String> categoricalNames) {
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long ops = 0;
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boolean[] isCategorical = new boolean[featureNames.size()];
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for (String catName : categoricalNames) {
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// Linear scan from index 0 — mirrors Python list.index()
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for (int i = 0; i < featureNames.size(); i++) {
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ops++;
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if (featureNames.get(i).equals(catName)) {
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isCategorical[i] = true;
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break;
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}
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}
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}
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return ops;
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}
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/**
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* Fast path: build HashMap[name→index] once, then O(1) per lookup.
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*
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* @param featureNames all feature names (length F)
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* @param categoricalNames names to look up (length C)
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* @return op count (1 op per entry in build + 1 op per lookup)
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*/
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static long fastCheckCategories(List<String> featureNames, List<String> categoricalNames) {
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long ops = 0;
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boolean[] isCategorical = new boolean[featureNames.size()];
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// Build index: O(F)
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Map<String, Integer> nameToIdx = new HashMap<>(featureNames.size() * 2);
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for (int i = 0; i < featureNames.size(); i++) {
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nameToIdx.put(featureNames.get(i), i);
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ops++;
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}
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// Lookup: O(1) per categorical feature
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for (String catName : categoricalNames) {
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Integer idx = nameToIdx.get(catName);
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ops++;
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if (idx != null) {
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isCategorical[idx] = true;
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}
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}
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return ops;
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}
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static void testCheckCategories() {
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int F = 1000; // total features
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int C = 200; // categorical features (worst-case: all near the end of the list)
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List<String> featureNames = new ArrayList<>(F);
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for (int i = 0; i < F; i++) featureNames.add("feature_" + i);
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// Categorical features chosen from the second half — maximizes scan depth
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List<String> categoricalNames = new ArrayList<>(C);
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for (int i = F / 2; i < F / 2 + C; i++) categoricalNames.add("feature_" + i);
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long slowOps = slowCheckCategories(featureNames, categoricalNames);
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long fastOps = fastCheckCategories(featureNames, categoricalNames);
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System.out.printf(
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"sklearn-0001 F=%-5d C=%-4d slowOps=%-8d fastOps=%-6d ratio=%.1fx%n",
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F, C, slowOps, fastOps, (double) slowOps / fastOps
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);
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assert slowOps > fastOps * 20 :
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"sklearn-0001 FAIL: expected slowOps > 20×fastOps, got " + slowOps + " vs " + fastOps;
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System.out.println("sklearn-0001 PASS");
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}
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// ── main ──────────────────────────────────────────────────────────────────
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public static void main(String[] args) {
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int pass = 0, total = 1;
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try { testCheckCategories(); pass++; } catch (AssertionError e) { System.err.println(e.getMessage()); }
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System.out.printf("%n%d/%d PASS%n", pass, total);
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if (pass != total) System.exit(1);
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}
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}
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