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| id: ML17 |
| title: "Topic-model comparison on small 20newsgroups subsets: LDA vs NMF vs LSA" |
| arxiv_id: null |
| venue: "ARC-Bench 2026" |
| paper_asset: null |
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| synthesis: | |
| Topic modeling methods are often compared using either intrinsic quality |
| measures (such as topic coherence) or extrinsic utility (such as how well |
| document representations align with known labels), but the two views can |
| disagree. Latent Dirichlet Allocation (LDA), Non-negative Matrix |
| Factorization (NMF), and Latent Semantic Analysis (LSA/SVD) each induce |
| different assumptions over term-document structure and may therefore rank |
| differently depending on metric choice. |
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| On CPU-constrained benchmarks, a practical study should use a compact text |
| corpus and a controlled preprocessing pipeline so that runtime stays short |
| while still yielding meaningful distinctions. A small subset of |
| 20newsgroups is ideal because it has accessible labels for external |
| clustering evaluation and enough lexical diversity for coherence analysis. |
| Using multiple subset difficulties (well-separated vs more confusable |
| categories) helps test robustness of conclusions. |
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| A credible experiment compares LDA, NMF, and LSA under matched topic counts |
| and vectorization settings, then reports both c_v-like coherence and |
| adjusted rand index (ARI) from document-cluster assignments against true |
| newsgroup labels. Because exact c_v implementations are not native in |
| sklearn, an explicit approximation based on sliding-window co-occurrence |
| and normalized PMI should be documented and applied consistently across |
| methods. Repeated runs for stochastic models are needed to avoid |
| over-interpreting single-seed noise. |
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| The core question is whether better intrinsic coherence implies better |
| label alignment on small real-world corpora, and which model offers the |
| best trade-off under strict CPU budgets. |
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| *Do LDA, NMF, and LSA produce different rankings on coherence versus ARI on small 20newsgroups subsets, and does NMF provide the strongest coherence-structure trade-off under CPU limits?* |
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| hypotheses: |
| - id: H1 |
| statement: "NMF achieves higher mean coherence_cv than LSA on at least 2 of 3 evaluated 20newsgroups subsets when using the same number of topics and preprocessing pipeline." |
| measurable: true |
| - id: H2 |
| statement: "Across the three methods (LDA, NMF, LSA), the method with the highest coherence_cv is also the highest-ARI method on no more than 1 of the 3 subsets, indicating weak metric agreement." |
| measurable: true |
| - id: H3 |
| statement: "LDA achieves mean ARI at least 0.03 higher than LSA on at least 2 of 3 subsets when document clusters are obtained by argmax topic assignment." |
| measurable: true |
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| experiment_design: |
| research_question: "How do LDA, NMF, and LSA compare on coherence_cv versus document-cluster ARI over small 20newsgroups subsets, and do intrinsic/extrinsic rankings diverge?" |
| conditions: |
| - name: "lda_k4" |
| description: "LatentDirichletAllocation with n_components=4, max_iter=20, learning_method='batch', CountVectorizer features, repeated over 3 seeds." |
| - name: "nmf_k4" |
| description: "NMF with n_components=4, init='nndsvda', solver='cd', max_iter=300 on TF-IDF features, repeated over 3 seeds." |
| - name: "lsa_k4" |
| description: "TruncatedSVD (LSA) with n_components=4 on TF-IDF features; document-topic embeddings clustered via argmax after non-negative shift or via KMeans(k=4) with fixed seed." |
| - name: "nmf_k6_sensitivity" |
| description: "NMF sensitivity condition with n_components=6 to test topic-count robustness for coherence and ARI trends." |
| baselines: |
| - "lsa_k4 as a linear-algebra baseline without probabilistic topic assumptions" |
| - "lda_k4 as a probabilistic-topic baseline" |
| metrics: |
| - name: "coherence_cv" |
| direction: "maximize" |
| description: "Approximate c_v coherence computed from top words per topic using sliding-window co-occurrence and NPMI aggregation, averaged across topics and seeds." |
| - name: "ari" |
| direction: "maximize" |
| description: "Adjusted Rand Index between predicted document clusters (topic argmax or equivalent) and true newsgroup labels." |
| - name: "runtime_sec" |
| direction: "minimize" |
| description: "Wall-clock training + inference time per condition/dataset cell on single CPU core." |
| datasets: |
| - name: "20ng_easy4" |
| source: "sklearn.datasets.fetch_20newsgroups with categories=['sci.space','rec.autos','comp.graphics','talk.politics.misc']" |
| - name: "20ng_related4" |
| source: "sklearn.datasets.fetch_20newsgroups with categories=['comp.graphics','comp.os.ms-windows.misc','comp.sys.ibm.pc.hardware','comp.sys.mac.hardware']" |
| - name: "20ng_science4" |
| source: "sklearn.datasets.fetch_20newsgroups with categories=['sci.space','sci.med','sci.electronics','sci.crypt']" |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 720 |
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| rubric_path: "experiments/arc_bench/config/ml/rubrics/ML17.json" |
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