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| id: ML15 |
| title: "Filter-based vs embedded L1 feature selection with injected noise features" |
| arxiv_id: null |
| venue: "ARC-Bench 2026" |
| paper_asset: null |
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| synthesis: | |
| Feature selection on tabular classification problems is often presented as a |
| choice between simple univariate filters and embedded sparse models. |
| Univariate filters such as chi-squared, ANOVA F-score, and mutual |
| information are computationally cheap and easy to apply in a pipeline, but |
| they evaluate each feature independently and can miss interactions. Embedded |
| L1-regularized logistic regression performs selection during model fitting, |
| potentially yielding feature subsets that better align with predictive |
| structure when many irrelevant variables are present. |
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| A practical stress test is to inject synthetic irrelevant features into |
| otherwise standard benchmark datasets. This setup creates controlled feature |
| dilution while preserving original labels and base difficulty. Under such |
| dilution, methods that can ignore noise should maintain accuracy and avoid |
| selecting many synthetic features. Conversely, methods sensitive to spurious |
| univariate associations may degrade as noise dimension increases. |
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| A credible CPU-only study should compare at least three filter selectors |
| (mutual_info_classif, chi2, f_classif) and an embedded L1 selector in a |
| shared downstream classifier pipeline, evaluate on multiple sklearn |
| classification datasets, and report both predictive performance and selection |
| quality. Including multiple random seeds is important because both noise |
| injection and train/test splits can change apparent selector rankings. |
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| The key aim is not to reproduce a single published table, but to determine |
| whether embedded sparsity offers robustness advantages over filters as |
| irrelevant dimensions grow, and whether that robustness generalizes across |
| datasets with different feature scales and class structures. |
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| *Does embedded L1-logistic feature selection retain predictive performance and reject injected irrelevant features more reliably than univariate filter methods under controlled feature-noise injection?* |
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| hypotheses: |
| - id: H1 |
| statement: "With 5x injected irrelevant features (relative to original feature count), L1-logistic embedded selection achieves higher mean test_accuracy than each filter method (mutual_info_classif, chi2, f_classif) on at least 2 of 3 datasets, averaged over >=5 seeds." |
| measurable: true |
| - id: H2 |
| statement: "At fixed selected-feature budget k=20 (or all features if p<20), L1-logistic selects a lower fraction of injected irrelevant features than the average of the three filter methods on all evaluated datasets." |
| measurable: true |
| - id: H3 |
| statement: "From no-injection to 5x-injection settings, mean test_accuracy drop for L1-logistic is <= 3 percentage points on at least 2 of 3 datasets." |
| measurable: true |
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| experiment_design: |
| research_question: "Does embedded L1-logistic feature selection outperform univariate filter methods in robustness to injected irrelevant features on sklearn tabular classification datasets?" |
| conditions: |
| - name: "filter_mutual_info_k20" |
| description: "SelectKBest(mutual_info_classif, k=20 or p if p<20) followed by LogisticRegression classifier." |
| - name: "filter_chi2_k20" |
| description: "MinMax scaling to nonnegative domain, then SelectKBest(chi2, k=20 or p if p<20) followed by LogisticRegression classifier." |
| - name: "filter_f_classif_k20" |
| description: "SelectKBest(f_classif, k=20 or p if p<20) followed by LogisticRegression classifier." |
| - name: "embedded_l1_logistic" |
| description: "L1-penalized LogisticRegression (saga/liblinear) used as embedded selector; keep top-20 by absolute coefficient magnitude (or nonzero if <=20), retrain LogisticRegression on selected subset." |
| baselines: |
| - "filter_f_classif_k20 as a standard univariate linear-statistic baseline" |
| - "filter_mutual_info_k20 as a nonlinear dependency baseline" |
| metrics: |
| - name: "test_accuracy" |
| direction: "maximize" |
| description: "Held-out test accuracy averaged over >=5 seeds for each dataset and injection level." |
| - name: "noise_feature_selection_rate" |
| direction: "minimize" |
| description: "Fraction of selected features that come from injected irrelevant columns." |
| - name: "accuracy_drop_0x_to_5x_pp" |
| direction: "minimize" |
| description: "Absolute percentage-point drop in test_accuracy from 0x to 5x injection." |
| datasets: |
| - name: "breast_cancer" |
| source: "sklearn.datasets.load_breast_cancer" |
| - name: "wine" |
| source: "sklearn.datasets.load_wine" |
| - name: "digits" |
| source: "sklearn.datasets.load_digits" |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 420 |
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| rubric_path: "experiments/arc_bench/config/ml/rubrics/ML15.json" |
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