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--- |
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language: iu |
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language_name: Inuktitut |
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language_family: eskimoaleut |
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tags: |
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- wikilangs |
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- nlp |
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- tokenizer |
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- embeddings |
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- n-gram |
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- markov |
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- wikipedia |
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- feature-extraction |
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- sentence-similarity |
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- tokenization |
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- n-grams |
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- markov-chain |
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- text-mining |
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- fasttext |
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- babelvec |
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- vocabulous |
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- vocabulary |
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- monolingual |
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- family-eskimoaleut |
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license: mit |
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library_name: wikilangs |
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pipeline_tag: text-generation |
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datasets: |
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- omarkamali/wikipedia-monthly |
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dataset_info: |
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name: wikipedia-monthly |
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description: Monthly snapshots of Wikipedia articles across 300+ languages |
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metrics: |
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- name: best_compression_ratio |
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type: compression |
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value: 3.905 |
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- name: best_isotropy |
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type: isotropy |
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value: 0.2183 |
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- name: vocabulary_size |
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type: vocab |
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value: 0 |
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generated: 2026-01-10 |
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--- |
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# Inuktitut - Wikilangs Models |
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## Comprehensive Research Report & Full Ablation Study |
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This repository contains NLP models trained and evaluated by Wikilangs, specifically on **Inuktitut** Wikipedia data. |
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We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings. |
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## ๐ Repository Contents |
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### Models & Assets |
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- Tokenizers (8k, 16k, 32k, 64k) |
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- N-gram models (2, 3, 4, 5-gram) |
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- Markov chains (context of 1, 2, 3, 4 and 5) |
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- Subword N-gram and Markov chains |
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- Embeddings in various sizes and dimensions (aligned and unaligned) |
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- Language Vocabulary |
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- Language Statistics |
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### Analysis and Evaluation |
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- [1. Tokenizer Evaluation](#1-tokenizer-evaluation) |
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- [2. N-gram Model Evaluation](#2-n-gram-model-evaluation) |
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- [3. Markov Chain Evaluation](#3-markov-chain-evaluation) |
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- [4. Vocabulary Analysis](#4-vocabulary-analysis) |
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- [5. Word Embeddings Evaluation](#5-word-embeddings-evaluation) |
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- [6. Morphological Analysis (Experimental)](#6--morphological-analysis-experimental) |
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- [7. Summary & Recommendations](#7-summary--recommendations) |
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- [Metrics Glossary](#appendix-metrics-glossary--interpretation-guide) |
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- [Visualizations Index](#visualizations-index) |
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--- |
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## 1. Tokenizer Evaluation |
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### Results |
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| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens | |
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|------------|-------------|---------------|----------|--------------| |
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| **8k** | 3.015x | 3.02 | 0.1769% | 75,744 | |
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| **16k** | 3.468x | 3.47 | 0.2035% | 65,854 | |
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| **32k** | 3.905x ๐ | 3.91 | 0.2292% | 58,476 | |
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### Tokenization Examples |
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Below are sample sentences tokenized with each vocabulary size: |
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**Sample 1:** `แแแ
แณแ แฅแแแแแฆ แแแแแ แแแแ
แญแแฏแฆ แแญแฏแแแแแ แดแ
แญแแ
แแ
แ
แฏแชแชแ
แซแ แตแฏแดแกแงแฆ. แแแ
แณแ แแดแ
แชแญแ
แแ
แนแแแ
...` |
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| Vocab | Tokens | Count | |
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|-------|--------|-------| |
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| 8k | `โแแแ
แณแ โแฅแแแแแฆ โแแแแแ โแแแแ
แญแแฏแฆ โแแญแฏแแ แแแ โแดแ
แญแแ
แแ
แ
แฏแชแชแ
โแซแ โแตแฏ แดแก ... (+16 more)` | 26 | |
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| 16k | `โแแแ
แณแ โแฅแแแแแฆ โแแแแแ โแแแแ
แญแแฏแฆ โแแญแฏแแ แแแ โแดแ
แญแแ
แแ
แ
แฏแชแชแ
โแซแ โแตแฏแดแกแงแฆ . ... (+10 more)` | 20 | |
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| 32k | `โแแแ
แณแ โแฅแแแแแฆ โแแแแแ โแแแแ
แญแแฏแฆ โแแญแฏแแแแแ โแดแ
แญแแ
แแ
แ
แฏแชแชแ
โแซแ โแตแฏแดแกแงแฆ . โแแแ
แณแ ... (+7 more)` | 17 | |
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**Sample 2:** `แ
แตแแ
โ[แแชแแแแแฆโOhio]โ ) แแแแชแฆ แแแแ. แ
แตแแ
แแแแ แแฅแแแฒ. แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ-แแแแฆ แฐแแปแดแ
ยซ...` |
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| Vocab | Tokens | Count | |
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|-------|--------|-------| |
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| 8k | `โแ
แตแแ
โ[ แแชแแแแแฆ โ ohio ]โ โ) โแแแแชแฆ โแแแแ . ... (+27 more)` | 37 | |
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| 16k | `โแ
แตแแ
โ[ แแชแแแแแฆ โ ohio ]โ โ) โแแแแชแฆ โแแแแ . ... (+22 more)` | 32 | |
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| 32k | `โแ
แตแแ
โ[ แแชแแแแแฆ โ ohio ]โ โ) โแแแแชแฆ โแแแแ . ... (+22 more)` | 32 | |
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**Sample 3:** `แแ
แฆแฏแแ
แแ
แฑแแแ
แแแ
แธแแ
แแญแ
แแ
แ
แแฑแแน แดแณแปแฅแ แแฅ. แ
แแญแแณแ
แแแแแแ` |
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| Vocab | Tokens | Count | |
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|-------|--------|-------| |
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| 8k | `โแแ
แฆแฏแแ
แแ
โแฑแแแ
โแแแ
แธแแ
แแญแ
แแ
โแ
แแฑ แแน โแดแณแปแฅแ โแแฅ . โแ
แแญแแณแ
โแแแแแแ` | 10 | |
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| 16k | `โแแ
แฆแฏแแ
แแ
โแฑแแแ
โแแแ
แธแแ
แแญแ
แแ
โแ
แแฑแแน โแดแณแปแฅแ โแแฅ . โแ
แแญแแณแ
โแแแแแแ` | 9 | |
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| 32k | `โแแ
แฆแฏแแ
แแ
โแฑแแแ
โแแแ
แธแแ
แแญแ
แแ
โแ
แแฑแแน โแดแณแปแฅแ โแแฅ . โแ
แแญแแณแ
โแแแแแแ` | 9 | |
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### Key Findings |
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- **Best Compression:** 32k achieves 3.905x compression |
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- **Lowest UNK Rate:** 8k with 0.1769% unknown tokens |
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- **Trade-off:** Larger vocabularies improve compression but increase model size |
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- **Recommendation:** 32k vocabulary provides optimal balance for production use |
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--- |
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## 2. N-gram Model Evaluation |
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### Results |
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| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage | |
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|--------|---------|------------|---------|----------------|------------------|-------------------| |
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| **2-gram** | Word | 93 ๐ | 6.54 | 126 | 90.8% | 100.0% | |
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| **2-gram** | Subword | 962 | 9.91 | 3,039 | 37.0% | 87.0% | |
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| **3-gram** | Word | 130 | 7.03 | 174 | 73.9% | 100.0% | |
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| **3-gram** | Subword | 5,020 | 12.29 | 12,029 | 15.7% | 49.7% | |
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| **4-gram** | Word | 694 | 9.44 | 794 | 25.0% | 100.0% | |
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| **4-gram** | Subword | 14,093 | 13.78 | 28,526 | 8.8% | 30.5% | |
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| **5-gram** | Word | 607 | 9.25 | 676 | 24.5% | 100.0% | |
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| **5-gram** | Subword | 19,229 | 14.23 | 32,493 | 7.1% | 24.4% | |
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### Top 5 N-grams by Size |
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**2-grams (Word):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `san marino` | 73 | |
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| 2 | `of the` | 55 | |
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| 3 | `แแแแฆ แแแแฆ` | 55 | |
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| 4 | `แญแปแงแฆ แ
แ
แฏแ
` | 47 | |
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| 5 | `แแแ
แ แแญแแ` | 44 | |
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**3-grams (Word):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `แแแแฆ แแแแฆ แแแแฆ` | 51 | |
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| 2 | `แญแปแงแฆ แ
แ
แฏแ
www` | 30 | |
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| 3 | `แแแแ แแฅแแแฒ แแ
แแฆแแฉแฆ` | 22 | |
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| 4 | `แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ แแแแฆ` | 22 | |
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| 5 | `แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ` | 22 | |
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**4-grams (Word):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `แแแแฆ แแแแฆ แแแแฆ แแแแฆ` | 48 | |
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| 2 | `แแแแ แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ` | 22 | |
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| 3 | `แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ แแแแฆ` | 22 | |
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| 4 | `แแแแฆ แญแปแงแฆ แ
แ
แฏแ
www` | 20 | |
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| 5 | `the grand and general` | 10 | |
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**5-grams (Word):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ` | 45 | |
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| 2 | `แแแแ แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ แแแแฆ` | 22 | |
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| 3 | `the grand and general council` | 10 | |
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| 4 | `แแ frameless upright 0 3` | 7 | |
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| 5 | `o canada we stand on` | 5 | |
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**2-grams (Subword):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `แฆ _` | 4,757 | |
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| 2 | `_ แ` | 3,099 | |
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| 3 | `แ
_` | 2,694 | |
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| 4 | `_ แ` | 2,386 | |
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| 5 | `, _` | 2,385 | |
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**3-grams (Subword):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `แ แป แช` | 851 | |
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| 2 | `_ แ แป` | 837 | |
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| 3 | `_ แ แ` | 816 | |
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| 4 | `แ แ _` | 784 | |
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| 5 | `แฆ _ แ` | 710 | |
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**4-grams (Subword):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `_ แ แป แช` | 833 | |
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| 2 | `แ แป แช _` | 420 | |
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| 3 | `แ แป แช แ` | 407 | |
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| 4 | `แ
แ แ
_` | 405 | |
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| 5 | `แป แช แ _` | 385 | |
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**5-grams (Subword):** |
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| Rank | N-gram | Count | |
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|------|--------|-------| |
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| 1 | `_ แ แป แช _` | 418 | |
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| 2 | `_ แ แป แช แ` | 400 | |
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| 3 | `แ แป แช แ _` | 385 | |
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| 4 | `_ t h e _` | 346 | |
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| 5 | `แฆ _ แ แป แช` | 218 | |
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### Key Findings |
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- **Best Perplexity:** 2-gram (word) with 93 |
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- **Entropy Trend:** Decreases with larger n-grams (more predictable) |
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- **Coverage:** Top-1000 patterns cover ~24% of corpus |
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- **Recommendation:** 4-gram or 5-gram for best predictive performance |
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--- |
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## 3. Markov Chain Evaluation |
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### Results |
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| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability | |
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|---------|---------|-------------|------------|------------------|-----------------|----------------| |
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| **1** | Word | 0.3388 | 1.265 | 1.76 | 15,002 | 66.1% | |
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| **1** | Subword | 1.4995 | 2.827 | 13.51 | 541 | 0.0% | |
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| **2** | Word | 0.0479 | 1.034 | 1.07 | 26,047 | 95.2% | |
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| **2** | Subword | 0.9813 | 1.974 | 4.39 | 7,301 | 1.9% | |
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| **3** | Word | 0.0129 | 1.009 | 1.02 | 27,517 | 98.7% | |
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| **3** | Subword | 0.5441 | 1.458 | 2.22 | 31,981 | 45.6% | |
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| **4** | Word | 0.0049 ๐ | 1.003 | 1.01 | 27,602 | 99.5% | |
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| **4** | Subword | 0.3121 | 1.242 | 1.55 | 70,999 | 68.8% | |
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### Generated Text Samples (Word-based) |
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Below are text samples generated from each word-based Markov chain model: |
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**Context Size 1:** |
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1. `แแปแช แฑแแ
แฏแแ
แญแแฏแฆ แ
แแแแฏแแฅแปแงแฆ แดแแแแญแ
แชแ
แแแแแฅแแ
แแแแแ แแแจแแแชแฆ แ
แแ
แแแแแ
แชแฆ แ
แแแ
แแแแฆ แฑแปแฅแแฅแ
แแแ แญแปแงแฆ แ
แ
แฏแ
www...` |
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2. `แแปแชแ แแ
แแแฆ แฑแแแแแแแฆแแ
แแฆ แแ
แญแ
แชแแฆแแแแแแ แแแแแฅแ แ
แแแแแฑแฆแแแฏแฆ แฒแแ แแแแฏ แแแแแฒ แแกแแแ แแแแ
แณแฆ แธแแ แแแแ
แ
แแ แแ
แ...` |
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3. `the roman republic the sammarinese fascist government declared war on their passports citation neede...` |
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**Context Size 2:** |
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1. `san marino appealed to pope boniface viii against the contribution demands by the legate papal gover...` |
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2. `แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แฅแญแซแแแ แแแแแแ แแปแช แแแแแแฏแฆ แดแแญแ
แแแขแแ แแฒแงแแงแฆ แตแชแดแงแฆ แแ
แแ
แงแฆ แแปแช แฏแแแแงแฆ แฏแแแ แชแแฑ...` |
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3. `of the european union it is the fifth smallest country in europe after vatican city and state` |
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**Context Size 3:** |
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1. `แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแแฒแแแ
แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ` |
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2. `แญแปแงแฆ แ
แ
แฏแ
www sd gov` |
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3. `แแแแ แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ แแแแฆ แฒแ แแชแแแแแฆ pierre แแแแฆ แญแปแงแฆ แ
แ
แฏแ
www ok gov` |
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**Context Size 4:** |
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1. `แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ แแแแฆ` |
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2. `แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ แแแแฆ แดแแฆแแแฆ แแชแแแแแฆ portland แแแแฆ แญแปแงแฆ แ
แ
แฏแ
www nv gov` |
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3. `แแแแ แแฅแแแฒ แแ
แแฆแแฉแฆ แฏแแแ
แแแฆ แแแแฆ แแ
แแแแแ
แแชแแแแแฆ new orleans แแแแฆ แญแปแงแฆ แ
แ
แฏแ
www idaho gov` |
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### Generated Text Samples (Subword-based) |
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Below are text samples generated from each subword-based Markov chain model: |
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**Context Size 1:** |
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1. `_แแ_แแชแแชแแแญแฏแแปแช_` |
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2. `แ
แแ_ontunixiteco` |
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3. `แฆแ)_แฒ,_แแแฅแฑแแแแแป` |
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**Context Size 2:** |
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1. `แฆ_(แฑแแ,_แแแชแแแแ
แณแฆ` |
|
|
2. `_แแ
แธแแก_แแแแ
_แญแแแ_` |
|
|
3. `แ
_แแแฒแแธ,_แแแแฆ_แแกแ` |
|
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|
|
**Context Size 3:** |
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|
|
1. `แแปแชแ_แฟแแ._แดแแญแแแแฅ.` |
|
|
2. `_แแปแช_แแแแแแ._แแแแ
แ` |
|
|
3. `_แแแแแแแแแแ
แ
แณแ
_แแแ` |
|
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|
|
|
**Context Size 4:** |
|
|
|
|
|
1. `_แแปแช_แแดแชแแ_แแแฅแ
แแ
แแฆ` |
|
|
2. `แแปแช_แแฏแฆแแแชแแแแแฅแ_แฑแ` |
|
|
3. `แแปแชแ_แแแแฑแแแ
")แแฑแ
แฏแ` |
|
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|
|
|
|
### Key Findings |
|
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|
|
- **Best Predictability:** Context-4 (word) with 99.5% predictability |
|
|
- **Branching Factor:** Decreases with context size (more deterministic) |
|
|
- **Memory Trade-off:** Larger contexts require more storage (70,999 contexts) |
|
|
- **Recommendation:** Context-3 or Context-4 for text generation |
|
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|
|
--- |
|
|
## 4. Vocabulary Analysis |
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 |
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### Statistics |
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|
| Metric | Value | |
|
|
|--------|-------| |
|
|
| Vocabulary Size | 3,802 | |
|
|
| Total Tokens | 18,925 | |
|
|
| Mean Frequency | 4.98 | |
|
|
| Median Frequency | 2 | |
|
|
| Frequency Std Dev | 13.99 | |
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|
|
### Most Common Words |
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|
|
| Rank | Word | Frequency | |
|
|
|------|------|-----------| |
|
|
| 1 | แแปแช | 424 | |
|
|
| 2 | แแปแชแ | 392 | |
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| 3 | the | 353 | |
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| 4 | of | 210 | |
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| 5 | แแแแฆ | 139 | |
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| 6 | and | 131 | |
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|
| 7 | แ
แแแแแแฆ | 114 | |
|
|
| 8 | in | 106 | |
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| 9 | แแชแแแแแฆ | 104 | |
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|
| 10 | to | 98 | |
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|
|
### Least Common Words (from vocabulary) |
|
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|
|
| Rank | Word | Frequency | |
|
|
|------|------|-----------| |
|
|
| 1 | แแฏแญแแแแแ
แชแฆ | 2 | |
|
|
| 2 | แฅแ
แฏแ
| 2 | |
|
|
| 3 | แดแแฏแแแแแฆ | 2 | |
|
|
| 4 | แดแแแญแแฆ | 2 | |
|
|
| 5 | แแฅแแ
แแ
แฏแชแชแฆ | 2 | |
|
|
| 6 | แญแแแฅ | 2 | |
|
|
| 7 | แจแแแ | 2 | |
|
|
| 8 | แดแแแแแแแฆ | 2 | |
|
|
| 9 | แ
แแธแชแแแชแแฆ | 2 | |
|
|
| 10 | แแแฅแ
แแแแแแงแฆ | 2 | |
|
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|
|
### Zipf's Law Analysis |
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|
|
| Metric | Value | |
|
|
|--------|-------| |
|
|
| Zipf Coefficient | 0.6869 | |
|
|
| Rยฒ (Goodness of Fit) | 0.969855 | |
|
|
| Adherence Quality | **excellent** | |
|
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|
|
### Coverage Analysis |
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|
|
| Top N Words | Coverage | |
|
|
|-------------|----------| |
|
|
| Top 100 | 30.3% | |
|
|
| Top 1,000 | 65.3% | |
|
|
| Top 5,000 | 0.0% | |
|
|
| Top 10,000 | 0.0% | |
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|
|
|
### Key Findings |
|
|
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|
|
- **Zipf Compliance:** Rยฒ=0.9699 indicates excellent adherence to Zipf's law |
|
|
- **High Frequency Dominance:** Top 100 words cover 30.3% of corpus |
|
|
- **Long Tail:** -6,198 words needed for remaining 100.0% coverage |
|
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|
--- |
|
|
## 5. Word Embeddings Evaluation |
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### 5.1 Cross-Lingual Alignment |
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|
### 5.2 Model Comparison |
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|
|
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 | |
|
|
|-------|-----------|----------|------------------|---------------|----------------| |
|
|
| **mono_32d** | 32 | 0.2183 | 0.4714 | N/A | N/A | |
|
|
| **mono_64d** | 64 | 0.0445 | 0.4570 | N/A | N/A | |
|
|
| **mono_128d** | 128 | 0.0046 | 0.4821 | N/A | N/A | |
|
|
| **aligned_32d** | 32 | 0.2183 ๐ | 0.4659 | 0.0189 | 0.1384 | |
|
|
| **aligned_64d** | 64 | 0.0445 | 0.4550 | 0.0314 | 0.1384 | |
|
|
| **aligned_128d** | 128 | 0.0046 | 0.4794 | 0.0503 | 0.1509 | |
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|
|
### Key Findings |
|
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|
|
- **Best Isotropy:** aligned_32d with 0.2183 (more uniform distribution) |
|
|
- **Semantic Density:** Average pairwise similarity of 0.4685. Lower values indicate better semantic separation. |
|
|
- **Alignment Quality:** Aligned models achieve up to 5.0% R@1 in cross-lingual retrieval. |
|
|
- **Recommendation:** 128d aligned for best cross-lingual performance |
|
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|
|
|
--- |
|
|
## 6. Morphological Analysis (Experimental) |
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|
|
This section presents an automated morphological analysis derived from the statistical divergence between word-level and subword-level models. By analyzing where subword predictability spikes and where word-level coverage fails, we can infer linguistic structures without supervised data. |
|
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|
|
### 6.1 Productivity & Complexity |
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|
|
| Metric | Value | Interpretation | Recommendation | |
|
|
|--------|-------|----------------|----------------| |
|
|
| Productivity Index | **5.000** | High morphological productivity | Reliable analysis | |
|
|
| Idiomaticity Gap | **3.097** | High formulaic/idiomatic content | - | |
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|
|
### 6.2 Affix Inventory (Productive Units) |
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|
|
These are the most productive prefixes and suffixes identified by sampling the vocabulary for global substitutability patterns. A unit is considered an affix if stripping it leaves a valid stem that appears in other contexts. |
|
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|
|
#### Productive Prefixes |
|
|
| Prefix | Examples | |
|
|
|--------|----------| |
|
|
| `-แ` | แแแ
แแ
แฏแชแชแ
, แแ
แฆแแแ, แแแแ
แแชแแแฆ | |
|
|
| `-แ` | แแ
แแแแฆ, แแแฆแแ
, แแฑ | |
|
|
| `-แ
` | แ
แชแแแ, แ
แแดแฅ, แ
แญแ
แแแ
แแชแแแฆ | |
|
|
| `-แ
แ` | แ
แแแซแแแฆ, แ
แแ
แฏแแดแแแฆ, แ
แแ
แฏแแแ
แแแแชแแ | |
|
|
| `-แแ` | แแแแ
แ, แแแแแแแ, แแแณแแ | |
|
|
| `-แแ` | แแแซแฆแดแแแแ
, แแแแฑแชแ, แแแแฏแแ | |
|
|
| `-แแ` | แแแ, แแแแแแแชแแ, แแแแแ | |
|
|
| `-co` | coca, corporate, country | |
|
|
|
|
|
#### Productive Suffixes |
|
|
| Suffix | Examples | |
|
|
|--------|----------| |
|
|
| `-แฆ` | แแแชแแแแแแแแแฆ, แแ
แแแแฆ, แฑแแแฆแแแแแแแแฆ | |
|
|
| `-แ
` | แแแฆแแ
, แแแ
แแ
แฏแชแชแ
, แฏแ
แแ
| |
|
|
| `-แ` | แฏแแชแแ
แนแ, แแแ
แฏแแฅแ, แ
แชแแแ | |
|
|
| `-แแ` | แ
แชแแแ, แฅแแแแแ, แแแแแแ | |
|
|
| `-แแ
` | แแแฆแแ
, แฏแ
แแ
แฎแ
แแ
, แแ
แแ
แแ
| |
|
|
| `-แแฆ` | แฑแแแฆแแแแแแแแฆ, แญแแชแแ
แนแ
แฏแ
แแแฆ, แแแ
แฏแ
แแแแแฆ | |
|
|
| `-แ` | แฏแแแ, แแแ
แฑแฆแขแ, แแแแญแแ | |
|
|
| `-t` | aallatqiit, pitquhiinit, anngutikhaqanngittagaangat | |
|
|
|
|
|
### 6.3 Bound Stems (Lexical Roots) |
|
|
|
|
|
Bound stems are high-frequency subword units that are semantically cohesive but rarely appear as standalone words. These often correspond to the 'core' of a word that requires inflection or derivation to be valid. |
|
|
|
|
|
| Stem | Cohesion | Substitutability | Examples | |
|
|
|------|----------|------------------|----------| |
|
|
| `แแชแแ
` | 1.82x | 6 contexts | แฏแแชแแ
, แฏแแชแแ
แนแ, แฏแแชแแ
แนแ
| |
|
|
| `แฏแแชแ` | 1.82x | 5 contexts | แฏแแชแแ
, แฏแแชแแแฅ, แฏแแชแแ
แนแ | |
|
|
| `แ
แฏแชแช` | 1.50x | 6 contexts | แแแแ
แฏแชแชแ
, แแแแ
แฏแชแชแ
, แแแแ
แฏแชแชแฅ | |
|
|
| `แฏแชแชแ
` | 1.72x | 4 contexts | แแแฏแชแชแ
, แดแแฏแชแชแ
, แดแ
แญแฏแชแชแ
| |
|
|
| `แแชแแ` | 1.89x | 3 contexts | แฅแญแแแชแแ, แแแแแชแแ, แแแแแชแแแ | |
|
|
|
|
|
### 6.4 Affix Compatibility (Co-occurrence) |
|
|
|
|
|
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology. |
|
|
|
|
|
| Prefix | Suffix | Frequency | Examples | |
|
|
|--------|--------|-----------|----------| |
|
|
| `-แ` | `-แฆ` | 61 words | แแแแ
แแชแแแฆ, แแ
แแฆแแแแแแ
แแฆ | |
|
|
| `-แ` | `-แ
` | 47 words | แแแฆแแ
, แแ
แแ
แแ
| |
|
|
| `-แ` | `-แฆ` | 46 words | แแ
แแแแฆ, แแฏแแแฆ | |
|
|
| `-แ
` | `-แฆ` | 41 words | แ
แญแ
แแแ
แแชแแแฆ, แ
แแแซแแแฆ | |
|
|
| `-แ` | `-แ
` | 37 words | แแแ
แแ
แฏแชแชแ
, แแแแแชแ
| |
|
|
| `-แ` | `-แ` | 33 words | แแแ, แแแแแแแแฅแ | |
|
|
| `-แ` | `-แ` | 24 words | แแแ
แฏแแฅแ, แแฏแแแ | |
|
|
| `-แ` | `-แแ` | 19 words | แแแแแ, แแแแแแแแ | |
|
|
| `-แ
` | `-แ
` | 19 words | แ
แฑแแแ
, แ
แแ
แฏแ
| |
|
|
| `-แ` | `-แ` | 17 words | แแแ
แแ
แชแแ, แแแชแปแชแแแแชแแ | |
|
|
|
|
|
### 6.5 Recursive Morpheme Segmentation |
|
|
|
|
|
Using **Recursive Hierarchical Substitutability**, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., `prefix-prefix-root-suffix`). |
|
|
|
|
|
| Word | Suggested Split | Confidence | Stem | |
|
|
|------|-----------------|------------|------| |
|
|
| แแ
แญแแฏแชแแแแฆ | **`แแ
แญแแฏแชแแ-แแฆ`** | 4.5 | `แแ
แญแแฏแชแแ` | |
|
|
| presented | **`present-ed`** | 4.5 | `present` | |
|
|
| uniformed | **`uniform-ed`** | 4.5 | `uniform` | |
|
|
| แแแแธแ
แญแแแฆ | **`แแแแธแ
แญแ-แแฆ`** | 4.5 | `แแแแธแ
แญแ` | |
|
|
| แแแฐแญแแญแแแฆ | **`แแแฐแญแแญแแ-แฆ`** | 4.5 | `แแแฐแญแแญแแ` | |
|
|
| แแแฐแญแแญแแแแฆ | **`แแแฐแญแแญแแ-แแฆ`** | 4.5 | `แแแฐแญแแญแแ` | |
|
|
| แแแฐแญแแญแแแแ | **`แแแฐแญแแญแแ-แแ`** | 4.5 | `แแแฐแญแแญแแ` | |
|
|
| แซแแแแ
แชแแงแฆ | **`แซแแแแ
แชแ-แงแฆ`** | 4.5 | `แซแแแแ
แชแ` | |
|
|
| แแแฆแแ
แฏแชแชแแฆ | **`แแแฆแแ
แฏแชแชแ-แฆ`** | 4.5 | `แแแฆแแ
แฏแชแชแ` | |
|
|
| แแแแแแแแฅแ | **`แแแแแแแ-แฅแ`** | 4.5 | `แแแแแแแ` | |
|
|
| แแแแแแ
แแแ | **`แแแแแแ
แ-แแ`** | 4.5 | `แแแแแแ
แ` | |
|
|
| แแ
แญแแฏแชแแแแ | **`แแ
แญแแฏแชแแ-แแ`** | 4.5 | `แแ
แญแแฏแชแแ` | |
|
|
| แแแแญแ
แแ
แแ
| **`แแแแญแ
แ-แ
-แแ
`** | 3.0 | `แแแแญแ
แ` | |
|
|
| แแฅแแ
แแ
แฏแชแชแฆ | **`แ-แฅแแ
แแ
แฏแชแช-แฆ`** | 3.0 | `แฅแแ
แแ
แฏแชแช` | |
|
|
| แแแแแแแแแ | **`แแ-แแแแแ-แแ`** | 3.0 | `แแแแแ` | |
|
|
|
|
|
### 6.6 Linguistic Interpretation |
|
|
|
|
|
> **Automated Insight:** |
|
|
The language Inuktitut shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding. |
|
|
|
|
|
> **Note on Idiomaticity:** The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts. |
|
|
|
|
|
--- |
|
|
## 7. Summary & Recommendations |
|
|
|
|
|
 |
|
|
|
|
|
### Production Recommendations |
|
|
|
|
|
| Component | Recommended | Rationale | |
|
|
|-----------|-------------|-----------| |
|
|
| Tokenizer | **32k BPE** | Best compression (3.91x) | |
|
|
| N-gram | **2-gram** | Lowest perplexity (93) | |
|
|
| Markov | **Context-4** | Highest predictability (99.5%) | |
|
|
| Embeddings | **100d** | Balanced semantic capture and isotropy | |
|
|
|
|
|
|
|
|
--- |
|
|
## Appendix: Metrics Glossary & Interpretation Guide |
|
|
|
|
|
This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report. |
|
|
|
|
|
### Tokenizer Metrics |
|
|
|
|
|
**Compression Ratio** |
|
|
> *Definition:* The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text. |
|
|
> |
|
|
> *Intuition:* Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average. |
|
|
> |
|
|
> *What to seek:* Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information. |
|
|
|
|
|
**Average Token Length (Fertility)** |
|
|
> *Definition:* Mean number of characters per token produced by the tokenizer. |
|
|
> |
|
|
> *Intuition:* Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length. |
|
|
> |
|
|
> *What to seek:* Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens. |
|
|
|
|
|
**Unknown Token Rate (OOV Rate)** |
|
|
> *Definition:* Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent. |
|
|
> |
|
|
> *Intuition:* Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences. |
|
|
> |
|
|
> *What to seek:* Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback. |
|
|
|
|
|
### N-gram Model Metrics |
|
|
|
|
|
**Perplexity** |
|
|
> *Definition:* Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction. |
|
|
> |
|
|
> *Intuition:* If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options. |
|
|
> |
|
|
> *What to seek:* Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size. |
|
|
|
|
|
**Entropy** |
|
|
> *Definition:* Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy. |
|
|
> |
|
|
> *Intuition:* High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character. |
|
|
> |
|
|
> *What to seek:* Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases. |
|
|
|
|
|
**Coverage (Top-K)** |
|
|
> *Definition:* Percentage of corpus occurrences explained by the top K most frequent n-grams. |
|
|
> |
|
|
> *Intuition:* High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage. |
|
|
> |
|
|
> *What to seek:* Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text. |
|
|
|
|
|
### Markov Chain Metrics |
|
|
|
|
|
**Average Entropy** |
|
|
> *Definition:* Mean entropy across all contexts, measuring average uncertainty in next-word prediction. |
|
|
> |
|
|
> *Intuition:* Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations). |
|
|
> |
|
|
> *What to seek:* Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions. |
|
|
|
|
|
**Branching Factor** |
|
|
> *Definition:* Average number of unique next tokens observed for each context. |
|
|
> |
|
|
> *Intuition:* High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive). |
|
|
> |
|
|
> *What to seek:* Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains. |
|
|
|
|
|
**Predictability** |
|
|
> *Definition:* Derived metric: (1 - normalized_entropy) ร 100%. Indicates how deterministic the model's predictions are. |
|
|
> |
|
|
> *Intuition:* 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes. |
|
|
> |
|
|
> *What to seek:* Higher predictability for text generation quality, but too high (>98%) may produce repetitive output. |
|
|
|
|
|
### Vocabulary & Zipf's Law Metrics |
|
|
|
|
|
**Zipf's Coefficient** |
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> *Definition:* The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1. |
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> |
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> *Intuition:* A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare. |
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> |
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> *What to seek:* Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text. |
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**Rยฒ (Coefficient of Determination)** |
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> *Definition:* Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1. |
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> |
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> *Intuition:* Rยฒ near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns. |
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> |
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> *What to seek:* Rยฒ > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora. |
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**Vocabulary Coverage** |
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> *Definition:* Cumulative percentage of corpus tokens accounted for by the top N words. |
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> |
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> *Intuition:* Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words. |
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> |
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> *What to seek:* Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary. |
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### Word Embedding Metrics |
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**Isotropy** |
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> *Definition:* Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values. |
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> |
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> *Intuition:* High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness. |
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> |
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> *What to seek:* Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy. |
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**Average Norm** |
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> *Definition:* Mean magnitude (L2 norm) of word vectors in the embedding space. |
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> |
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> *Intuition:* Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained. |
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> |
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> *What to seek:* Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation). |
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**Cosine Similarity** |
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> *Definition:* Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction). |
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> |
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> *Intuition:* Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings. |
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> |
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> *What to seek:* Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7. |
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**t-SNE Visualization** |
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> *Definition:* t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization. |
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> |
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> *Intuition:* Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence. |
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> |
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> *What to seek:* Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure. |
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### General Interpretation Guidelines |
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1. **Compare within model families:** Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer). |
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2. **Consider trade-offs:** Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate). |
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3. **Context matters:** Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification. |
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4. **Corpus influence:** All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature. |
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5. **Language-specific patterns:** Morphologically rich languages (like Arabic) may show different optimal ranges than analytic languages. |
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### Visualizations Index |
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| Visualization | Description | |
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|---------------|-------------| |
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| Tokenizer Compression | Compression ratios by vocabulary size | |
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| Tokenizer Fertility | Average token length by vocabulary | |
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| Tokenizer OOV | Unknown token rates | |
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| Tokenizer Total Tokens | Total tokens by vocabulary | |
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| N-gram Perplexity | Perplexity by n-gram size | |
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| N-gram Entropy | Entropy by n-gram size | |
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| N-gram Coverage | Top pattern coverage | |
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| N-gram Unique | Unique n-gram counts | |
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| Markov Entropy | Entropy by context size | |
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| Markov Branching | Branching factor by context | |
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| Markov Contexts | Unique context counts | |
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| Zipf's Law | Frequency-rank distribution with fit | |
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| Vocab Frequency | Word frequency distribution | |
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| Top 20 Words | Most frequent words | |
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| Vocab Coverage | Cumulative coverage curve | |
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| Embedding Isotropy | Vector space uniformity | |
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| Embedding Norms | Vector magnitude distribution | |
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| Embedding Similarity | Word similarity heatmap | |
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| Nearest Neighbors | Similar words for key terms | |
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| t-SNE Words | 2D word embedding visualization | |
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| t-SNE Sentences | 2D sentence embedding visualization | |
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| Position Encoding | Encoding method comparison | |
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| Model Sizes | Storage requirements | |
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| Performance Dashboard | Comprehensive performance overview | |
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--- |
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## About This Project |
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### Data Source |
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Models trained on [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly) - a monthly snapshot of Wikipedia articles across 300+ languages. |
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### Project |
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A project by **[Wikilangs](https://wikilangs.org)** - Open-source NLP models for every Wikipedia language. |
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### Maintainer |
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[Omar Kamali](https://omarkamali.com) - [Omneity Labs](https://omneitylabs.com) |
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### Citation |
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If you use these models in your research, please cite: |
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```bibtex |
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@misc{wikilangs2025, |
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author = {Kamali, Omar}, |
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title = {Wikilangs: Open NLP Models for Wikipedia Languages}, |
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year = {2025}, |
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doi = {10.5281/zenodo.18073153}, |
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publisher = {Zenodo}, |
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url = {https://huggingface.co/wikilangs} |
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institution = {Omneity Labs} |
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} |
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``` |
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### License |
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MIT License - Free for academic and commercial use. |
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### Links |
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- ๐ Website: [wikilangs.org](https://wikilangs.org) |
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- ๐ค Models: [huggingface.co/wikilangs](https://huggingface.co/wikilangs) |
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- ๐ Data: [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly) |
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- ๐ค Author: [Omar Kamali](https://huggingface.co/omarkamali) |
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- ๐ค Sponsor: [Featherless AI](https://featherless.ai) |
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--- |
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*Generated by Wikilangs Models Pipeline* |
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*Report Date: 2026-01-10 04:55:45* |
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