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| id: ML23 |
| title: "Pointwise vs pairwise vs listwise learning-to-rank on synthetic query-document benchmarks" |
| arxiv_id: null |
| venue: "ARC-Bench 2026" |
| paper_asset: null |
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| synthesis: | |
| Learning-to-rank (LTR) objectives are often grouped into pointwise, pairwise, |
| and listwise families, each optimizing a different surrogate of retrieval |
| quality. Pointwise methods reduce ranking to regression/classification on |
| individual query-document pairs; pairwise methods optimize relative order |
| between document pairs; listwise methods directly shape permutations or top-k |
| emphasis. In production IR systems, metric alignment (especially with NDCG) |
| is often cited as a reason to prefer pairwise/listwise objectives, but this |
| claim is difficult to test cleanly on public collections with many confounds. |
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| A compact synthetic benchmark with known latent relevance structure allows a |
| controlled comparison. If query-specific utility functions generate graded |
| relevance labels (0-4), we can produce query groups with explicit train/test |
| splits and evaluate whether objectives aligned with ranking structure obtain |
| better NDCG@10 than a strong linear pointwise baseline. Because the data are |
| synthetic, we can vary noise and query heterogeneity while keeping runtime low |
| enough for single-core CPU execution. |
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| A credible study should implement three distinct training paradigms in the |
| same feature space: (1) pointwise linear regression on grades, (2) a |
| RankNet-lite pairwise logistic objective over within-query document pairs, |
| and (3) a ListMLE-lite listwise objective using per-query permutations sorted |
| by true grades. Evaluation should report NDCG@10 as primary, plus at least one |
| secondary ranking metric and a sanity metric such as training loss. Results |
| should be averaged across multiple seeds and at least two synthetic dataset |
| regimes. |
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| The key scientific goal is not reproducing a specific paper, but testing |
| whether increasing objective-level ranking awareness yields measurable gains |
| in top-k ranking quality under controlled conditions and limited compute. |
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| *Do pairwise and listwise lightweight objectives consistently outperform a pointwise linear baseline on NDCG@10 across synthetic query-document datasets with graded relevance?* |
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| hypotheses: |
| - id: H1 |
| statement: "ListMLE-lite achieves higher mean NDCG@10 than pointwise linear regression on at least 2 of 3 synthetic datasets, with an absolute improvement of at least 0.03 on each winning dataset (averaged over >=3 seeds)." |
| measurable: true |
| - id: H2 |
| statement: "At least one of {RankNet-lite, ListMLE-lite} outperforms pointwise linear regression in mean NDCG@10 on all evaluated datasets." |
| measurable: true |
| - id: H3 |
| statement: "The best ranking-aware method (max of RankNet-lite and ListMLE-lite per dataset) improves mean MAP@10 over pointwise linear by at least 0.02 on at least 2 of 3 datasets." |
| measurable: true |
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| experiment_design: |
| research_question: "Do pairwise/listwise lightweight ranking objectives provide consistent top-k retrieval gains over a pointwise linear baseline on synthetic grouped query-document data?" |
| conditions: |
| - name: "pointwise_linear" |
| description: "Linear model trained pointwise on query-document feature vectors to predict graded relevance via squared error; ranking by predicted score within each query." |
| - name: "ranknet_lite" |
| description: "Pairwise logistic ranking objective on within-query document pairs using a linear scorer; optimized with mini-batch gradient descent in numpy." |
| - name: "listmle_lite" |
| description: "Listwise ListMLE-style objective with a linear scorer, optimizing likelihood of ground-truth relevance-sorted document permutations per query." |
| - name: "pointwise_ridge_tuned" |
| description: "Pointwise linear baseline with L2 regularization tuned over a small grid to ensure a competitive non-ranking-aware baseline." |
| baselines: |
| - "pointwise_linear is the primary baseline" |
| - "pointwise_ridge_tuned is a strengthened linear baseline" |
| metrics: |
| - name: "ndcg_at_10" |
| direction: "maximize" |
| description: "Mean NDCG@10 across test queries; primary metric." |
| - name: "map_at_10" |
| direction: "maximize" |
| description: "Mean Average Precision@10 across test queries using relevance>=1 as relevant." |
| - name: "pairwise_accuracy" |
| direction: "maximize" |
| description: "Fraction of correctly ordered document pairs within test queries (based on graded relevance order)." |
| datasets: |
| - name: "synth_ltr_easy" |
| source: "Synthetic generator: 80 queries x 25 docs/query, 20 dense features, low noise, relevance grades 0-4 from latent linear utility." |
| - name: "synth_ltr_noisy" |
| source: "Synthetic generator: 100 queries x 30 docs/query, 25 features, higher Gaussian noise and feature corruption, grades 0-4." |
| - name: "synth_ltr_sparse" |
| source: "Synthetic generator: 90 queries x 20 docs/query, 40 features with sparsity mask, query-specific weight drift, grades 0-4." |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 480 |
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| rubric_path: "experiments/arc_bench/config/ml/rubrics/ML23.json" |
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