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--- |
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language: syl |
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language_name: Sylheti |
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language_family: indoaryan_eastern |
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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-indoaryan_eastern |
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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: 4.022 |
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- name: best_isotropy |
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type: isotropy |
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value: 0.2602 |
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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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# Sylheti - 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 **Sylheti** 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** | 3.222x | 3.23 | 0.1507% | 158,587 | |
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| **16k** | 3.579x | 3.58 | 0.1674% | 142,736 | |
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| **32k** | 4.022x ๐ | 4.03 | 0.1881% | 127,036 | |
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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:** `๊ ๊ ๊ ๊ ๊ ฃ ๊ ข๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ๊ ค ๊ ๊ ๊ ฅ ๊ ๊ ฅ๊ ๊ ฅ๊ ๊ ฃ๊ ๊ จ ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ๊ ฃ ๊
๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ค๊
๊ ๊ ฅ๊ ๊ ๊ ฅ๊ ๊ ฆ ๊ ข๊ ฅ๊ ๊ ฃ ๊ ๊ ค๊ ๊ ๊ ๊ ฆ ...` |
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| Vocab | Tokens | Count | |
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|-------|--------|-------| |
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| 8k | `โ๊ ๊ ๊ ๊ ๊ ฃ โ๊ ข๊ ๊ ๊ ๊ โ๊ ๊ ค๊ ๊ ๊ ค โ๊ ๊ ๊ ฅ โ๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ฃ๊ โ๊ จ โ๊ ๊ ฃ๊ ๊ ๊ ฃ ... (+26 more)` | 36 | |
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| 16k | `โ๊ ๊ ๊ ๊ ๊ ฃ โ๊ ข๊ ๊ ๊ ๊ โ๊ ๊ ค๊ ๊ ๊ ค โ๊ ๊ ๊ ฅ โ๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ฃ๊ โ๊ จ โ๊ ๊ ฃ๊ ๊ ๊ ฃ โ๊ ๊ ๊ ฃ ... (+18 more)` | 28 | |
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| 32k | `โ๊ ๊ ๊ ๊ ๊ ฃ โ๊ ข๊ ๊ ๊ ๊ โ๊ ๊ ค๊ ๊ ๊ ค โ๊ ๊ ๊ ฅ โ๊ ๊ ฅ๊ ๊ ฅ๊ ๊ ฃ๊ โ๊ จ โ๊ ๊ ฃ๊ ๊ ๊ ฃ โ๊ ๊ ๊ ฃ โ๊
๊ โ๊ ๊ ๊ ฃ๊ ... (+14 more)` | 24 | |
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**Sample 2:** `๊ ๊ ฃ๊ ข๊ ค๊ ๊ ๊ ๊ ๊ ฃ๊ ๊
๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊ ๊ ๊ ฅ๊ ๊ ฃ ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ๊ ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ โ ๊ ๊ ฆ๊ ๊ ฃ๊ ๊ ค๊ ` |
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| Vocab | Tokens | Count | |
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|-------|--------|-------| |
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| 8k | `โ๊ ๊ ฃ ๊ ข๊ ค๊ โ๊ ๊ ๊ ๊ ฃ๊ โ๊
โ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊ โ๊ ๊ ฅ๊ ๊ ฃ โ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ โ๊ ๊ โ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ โโ ... (+1 more)` | 11 | |
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| 16k | `โ๊ ๊ ฃ๊ ข๊ ค๊ โ๊ ๊ ๊ ๊ ฃ๊ โ๊
โ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊ โ๊ ๊ ฅ๊ ๊ ฃ โ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ โ๊ ๊ โ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ โโ โ๊ ๊ ฆ๊ ๊ ฃ๊ ๊ ค๊ ` | 10 | |
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| 32k | `โ๊ ๊ ฃ๊ ข๊ ค๊ โ๊ ๊ ๊ ๊ ฃ๊ โ๊
โ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊ โ๊ ๊ ฅ๊ ๊ ฃ โ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ โ๊ ๊ โ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ โโ โ๊ ๊ ฆ๊ ๊ ฃ๊ ๊ ค๊ ` | 10 | |
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**Sample 3:** `๊ ๊ ๊ ค ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ฅ๊ ๊ ค ๊ ๊ ๊ ๊ ค๊ ข๊ ๊ ๊ ๊ ๊ ๊ ฆ ๊ ๊ ฃ๊ ๊
๊ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ค๊ ๊ ข๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ค ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ฃ ๊ ก๊ ๊ ๊ ๊ ฃ๊ ...` |
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| Vocab | Tokens | Count | |
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|-------|--------|-------| |
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| 8k | `โ๊ ๊ ๊ ค โ๊ ๊ ฃ๊ ๊ ฃ๊ โ๊ ๊ ฅ๊ ๊ ค โ๊ ๊ ๊ ๊ ค๊ ข๊ ๊ ๊ โ๊ ๊ ๊ ฆ โ๊ ๊ ฃ๊ ๊
๊ ๊ ๊ ค๊ ... (+16 more)` | 26 | |
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| 16k | `โ๊ ๊ ๊ ค โ๊ ๊ ฃ๊ ๊ ฃ๊ โ๊ ๊ ฅ๊ ๊ ค โ๊ ๊ ๊ ๊ ค๊ ข๊ ๊ ๊ โ๊ ๊ ๊ ฆ โ๊ ๊ ฃ๊ ๊
๊ ๊ ๊ ค๊ โ๊ ๊ ๊ ๊ ค ... (+12 more)` | 22 | |
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| 32k | `โ๊ ๊ ๊ ค โ๊ ๊ ฃ๊ ๊ ฃ๊ โ๊ ๊ ฅ๊ ๊ ค โ๊ ๊ ๊ ๊ ค๊ ข๊ ๊ ๊ โ๊ ๊ ๊ ฆ โ๊ ๊ ฃ๊ ๊
๊ ๊ ๊ ค๊ โ๊ ๊ ๊ ๊ ค๊ ๊ ข๊ ๊ ๊ ๊ โ๊ ๊ ๊ ๊ ๊ ฅ๊ โ๊ ๊ ๊ ค โ๊ ... (+6 more)` | 16 | |
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### Key Findings |
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- **Best Compression:** 32k achieves 4.022x compression |
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- **Lowest UNK Rate:** 8k with 0.1507% 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 | 691 ๐ | 9.43 | 884 | 33.5% | 100.0% | |
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| **2-gram** | Subword | 1,332 | 10.38 | 5,973 | 36.8% | 77.2% | |
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| **3-gram** | Word | 836 | 9.71 | 1,105 | 30.9% | 94.7% | |
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| **3-gram** | Subword | 8,364 | 13.03 | 21,498 | 13.7% | 39.9% | |
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| **4-gram** | Word | 2,379 | 11.22 | 3,031 | 17.4% | 53.0% | |
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| **4-gram** | Subword | 24,708 | 14.59 | 50,570 | 7.4% | 23.8% | |
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| **5-gram** | Word | 2,151 | 11.07 | 2,640 | 17.3% | 54.6% | |
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| **5-gram** | Subword | 31,205 | 14.93 | 51,776 | 5.2% | 19.1% | |
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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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| 1 | `๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ ` | 73 | |
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| 2 | `๊ ๊ ๊ ๊ ๊ ฆ๊ ก` | 73 | |
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| 3 | `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ` | 73 | |
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| 4 | `๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ` | 73 | |
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| 5 | `of the` | 65 | |
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**3-grams (Word):** |
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| Rank | N-gram | Count | |
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| 1 | `๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ ` | 73 | |
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| 2 | `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก` | 73 | |
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| 3 | `๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ` | 73 | |
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| 4 | `๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ` | 51 | |
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| 5 | `๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ` | 51 | |
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**4-grams (Word):** |
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| Rank | N-gram | Count | |
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| 1 | `๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ ` | 73 | |
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| 2 | `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ` | 73 | |
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| 3 | `๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ` | 51 | |
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| 4 | `๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ` | 51 | |
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| 5 | `๊ ๊ ๊ ฆ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก` | 31 | |
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**5-grams (Word):** |
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| Rank | N-gram | Count | |
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| 1 | `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ ` | 73 | |
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| 2 | `๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ` | 51 | |
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| 3 | `๊ ๊ ๊ ฆ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ` | 31 | |
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| 4 | `๊ ๊ ฃ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ๊ ฃ๊ ๊
๊ ข๊ ฃ๊ ๊ ๊
๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ` | 30 | |
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| 5 | `๊ ข๊ ฃ๊ ๊ ๊
๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ค๊ ๊ ฃ` | 30 | |
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**2-grams (Subword):** |
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| Rank | N-gram | Count | |
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| 1 | `๊ _` | 12,277 | |
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| 2 | `_ ๊ ` | 6,142 | |
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| 3 | `๊ _` | 5,686 | |
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| 4 | `_ ๊
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| 5 | `โ _` | 3,764 | |
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**3-grams (Subword):** |
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| Rank | N-gram | Count | |
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| 1 | `_ โ _` | 2,981 | |
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| 2 | `๊ ๊ _` | 2,292 | |
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| 3 | `_ ๊ จ _` | 2,256 | |
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| 4 | `_ ๊ ๊ ` | 2,193 | |
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| 5 | `_ ๊
๊ ` | 1,323 | |
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**4-grams (Subword):** |
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| Rank | N-gram | Count | |
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| 1 | `_ ๊ ๊ _` | 1,762 | |
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| 2 | `_ ๊
๊ _` | 505 | |
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| 3 | `_ ๊ ๊ ค ๊ ๊ ` | 445 | |
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| 4 | `๊ _ โ _` | 441 | |
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| 5 | `_ ๊ ๊ ฃ ๊ _` | 432 | |
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**5-grams (Subword):** |
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| Rank | N-gram | Count | |
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| 1 | `_ ๊ ๊ ค ๊ ๊ ๊ ค _` | 332 | |
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| 2 | `_ ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ฆ ๊ ก` | 328 | |
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| 3 | `_ t h e _` | 326 | |
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| 4 | `_ ๊ ๊ ค ๊ ๊ _` | 284 | |
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| 5 | `_ ๊
๊ _ โ` | 272 | |
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### Key Findings |
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- **Best Perplexity:** 2-gram (word) with 691 |
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- **Entropy Trend:** Decreases with larger n-grams (more predictable) |
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- **Coverage:** Top-1000 patterns cover ~19% 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 | 0.5935 | 1.509 | 2.79 | 23,596 | 40.6% | |
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| **1** | Subword | 1.2552 | 2.387 | 11.97 | 1,427 | 0.0% | |
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| **2** | Word | 0.0932 | 1.067 | 1.13 | 65,510 | 90.7% | |
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| **2** | Subword | 0.7555 | 1.688 | 3.82 | 17,071 | 24.4% | |
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| **3** | Word | 0.0199 | 1.014 | 1.03 | 73,767 | 98.0% | |
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| **3** | Subword | 0.4929 | 1.407 | 2.25 | 65,171 | 50.7% | |
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| **4** | Word | 0.0085 ๐ | 1.006 | 1.01 | 75,181 | 99.2% | |
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| **4** | Subword | 0.2650 | 1.202 | 1.49 | 146,673 | 73.5% | |
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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. `๊ ๊ ๊ ๊ ก๊ ค๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ๊ ๊
๊ ฆ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ๊ ฆ ๊
๊ ๊ ๊ ๊ ๊ ค๊ ๊ ค๊ ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ๊ ฃ๊ ๊ ค ๊ ๊ ๊ ๊ ฃ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ค ๊ ๊ ๊ ๊ ๊
๊ ฆ๊ ๊ ก๊ ฃ๊ ๊ ก๊ ๊ ๊ ๊ ๊ ค๊ ๊ ค๊ ๊
๊ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฅ...` |
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2. `๊
๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ก๊ ค ๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฆ๊ ๊ ฅ๊ ๊ ฅ ๊ ก๊ ค๊ ๊ ๊ ๊ ค๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊
๊ ๊ ค๊ ๊ ก๊ ๊ ๊ ๊ ๊ ค ๊ ข๊ ฆ๊ ก july ๊ ก๊ ฆ๊ ๊ ๊ ๊ ฆ๊ ๊ ๊ ๊ ฮณ0l9 ๊ ๊ ฃ๊ ` |
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3. `๊ ๊ ก๊ ฃ๊ ๊ ก๊ ๊ ๊ ๊ ๊ ค๊ ๊ ค๊ ๊
๊ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฅ ๊ ๊ ฅ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ฆ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ๊ ก๊ ๊ ๊ ๊ ค๊ ๊ ๊ ค๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ก๊ ฃ๊ ๊ ๊ ๊ ๊ ก๊ ข๊ ๊ ฅ๊ ๊ ค...` |
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**Context Size 2:** |
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1. `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ vishavan ๊ ๊ ฃ๊ ๊ ๊ ก๊ ค๊ ๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ haitian vodoun cultu...` |
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2. `๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ guaicaro ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฃ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ๊ ฃ๊ ๊
๊ ข๊ ฃ๊ ๊ ๊
๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ค๊ ๊ ฃ gaya ๊ ๊ ฃ๊ ๊ ๊ ก๊ ค๊ ` |
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3. `๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ kwสผadza ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ yugul ๊ ๊ ฃ๊ ๊
๊ ๊ ค๊ ๊ ๊ ค๊ ๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ...` |
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**Context Size 3:** |
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1. `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ north picene ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ jiamao ๊ ๊ ฃ๊ ๊ ๊ ก๊ ค...` |
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2. `๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ mangree ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฃ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ๊ ฃ๊ ๊
๊ ข๊ ฃ๊ ๊ ๊
๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ค๊ ๊ ฃ paleo european ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ฅ๊ ling...` |
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3. `๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ kwสผadza ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฃ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ข๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ karami ๊ ๊ ฃ๊ ๊
๊ ๊ ค๊ ๊ ๊ ค๊ ๊ ๊ ฃ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ๊ ฃ๊ ๊
๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ...` |
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**Context Size 4:** |
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1. `๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ mangree ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฃ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ๊ ฃ๊ ๊
๊ ข๊ ฃ๊ ๊ ๊
๊ ๊ ๊ ฃ๊ ๊ ๊ ฃ ๊ ๊ ค๊ ๊ ฃ oblo ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ...` |
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2. `๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ pre arawakan ๊ ๊ ฃ๊ of the greater antilles ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ๊ ค๊ ๊ ฃ linguistic ๊ ๊ ฆ๊ ...` |
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3. `๊ ๊ ฅ๊ ๊ ฅ ๊ ๊ ค๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ ฃ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ cayuse ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ๊ ค๊ ๊ ฃ ๊ ๊ ฆ๊ ๊ ฃ๊ ก๊ ค๊ ๊ ค๊ ๊ ฆ๊ ก๊ ๊ ๊ ๊ ๊ ๊ ฆ๊ ก ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ bhariati ๊ ๊ ก๊ ค...` |
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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. `_๊ _๊ ๊ ๊ ฃ๊ ๊ ฃ๊ เฅค"_๊ ๊ ๊ ฆ๊ ๊ ฆ_(เฆฎเง` |
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2. `๊ _๊ ๊ ๊ ข๊ ฃ๊ ๊ ฃ๊ ๊ ฃ_โ_๊ ๊ ฅ๊ ๊ ๊ ฅ_๊ ๊ ฃ_` |
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3. `๊ ๊ ๊ ฃ๊ _๊ ๊ _lasher/๊ ก๊ ฆ๊ ก` |
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**Context Size 2:** |
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1. `๊ _(bood_iporly,_๊ ๊ ฆ` |
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2. `_๊ ๊ ๊ ฃ๊ ๊ ฃ_๊ ๊ ฃ๊ ๊ ๊
๊ ฆ๊ _๊ ๊ _๊ ๊ _` |
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3. `๊ _๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ๊ -๊ ๊ ๊ ฃ_เฅฅ_๊ ๊ ฃ๊ ๊ ฃ๊ _` |
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**Context Size 3:** |
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1. `_โ_'๊ ๊ ๊
_๊ ๊ ๊ ๊ ค๊ ก:_provk` |
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2. `๊ ๊ _๊ ๊ ค๊ ๊ _๊ ๊ ๊ ๊ ค๊ ๊ ค๊ ก_๊ ๊ ฃ๊ ๊ ค_๊ ๊ ค๊ ๊ ๊ ค` |
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3. `_๊ จ_๊ ๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ _(๊ ๊ ฅ๊ _๊ ๊ ฃ๊ ๊ ฃ_๊ ๊ ฅ` |
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**Context Size 4:** |
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1. `_๊ ๊ _๊ ๊ ค๊ ๊ _๊ ๊ ๊ ๊ ๊ ฅ๊ _๊ ๊ ๊ ค๊ ๊ ฆ๊ ก๊
_` |
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2. `_๊
๊ _๊ ๊ ฃ_๊ ๊ ค๊ ๊ ฃ_vazimba_=_` |
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3. `_๊ ๊ ค๊ ๊ _๊
๊ ๊ ๊ ๊ _๊ ๊ ค๊ ๊ ค๊ ก_๊ ๊ ฃ๊ _๊ ๊ ๊ ค` |
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### Key Findings |
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- **Best Predictability:** Context-4 (word) with 99.2% predictability |
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- **Branching Factor:** Decreases with context size (more deterministic) |
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- **Memory Trade-off:** Larger contexts require more storage (146,673 contexts) |
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- **Recommendation:** Context-3 or Context-4 for text generation |
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--- |
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## 4. Vocabulary Analysis |
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### Statistics |
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| Metric | Value | |
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| Vocabulary Size | 8,518 | |
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| Total Tokens | 68,093 | |
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| Mean Frequency | 7.99 | |
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| Median Frequency | 3 | |
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| Frequency Std Dev | 28.79 | |
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### Most Common Words |
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| Rank | Word | Frequency | |
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| 1 | ๊ ๊ | 1,780 | |
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| 2 | ๊
๊ | 671 | |
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| 3 | ๊ | 569 | |
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| 4 | ๊ ๊ ฃ๊ | 478 | |
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| 5 | ๊
| 408 | |
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| 6 | ๊ ๊ ค๊ ๊ ๊ ค | 361 | |
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| 7 | the | 354 | |
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| 8 | ๊ ๊ ค๊ ๊ | 347 | |
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| 9 | ๊
๊ | 303 | |
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| 10 | ๊ ๊ ๊ ฅ | 283 | |
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### Least Common Words (from vocabulary) |
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| Rank | Word | Frequency | |
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| 1 | ๊ ๊ ค๊ ๊ ๊ | 2 | |
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| 2 | ๊ ๊ ๊ ค๊ | 2 | |
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| 3 | ๊ ๊ ค๊ ๊ | 2 | |
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| 4 | ๊ ๊ ๊ ๊ ฅ | 2 | |
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| 5 | ๊ ๊ ข๊ ก๊ ๊ ก | 2 | |
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| 6 | ๊ ๊ ๊ ฃ๊ ๊ ค | 2 | |
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| 7 | ๊ ข๊ ๊ ๊ ๊ ฃ | 2 | |
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| 8 | ๊ ๊ ค๊ ๊ ๊ ๊ ฆ๊ ก | 2 | |
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| 9 | ๊
๊ | 2 | |
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| 10 | ๊ ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ๊ | 2 | |
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### Zipf's Law Analysis |
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| Metric | Value | |
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| Zipf Coefficient | 0.8800 | |
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| Rยฒ (Goodness of Fit) | 0.982770 | |
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| Adherence Quality | **excellent** | |
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### Coverage Analysis |
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| Top N Words | Coverage | |
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| Top 100 | 25.5% | |
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| Top 1,000 | 59.3% | |
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| Top 5,000 | 89.5% | |
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| Top 10,000 | 0.0% | |
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### Key Findings |
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- **Zipf Compliance:** Rยฒ=0.9828 indicates excellent adherence to Zipf's law |
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- **High Frequency Dominance:** Top 100 words cover 25.5% of corpus |
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- **Long Tail:** -1,482 words needed for remaining 100.0% coverage |
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--- |
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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 | |
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|-------|-----------|----------|------------------|---------------|----------------| |
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| **mono_32d** | 32 | 0.2602 | 0.4837 | N/A | N/A | |
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| **mono_64d** | 64 | 0.0664 | 0.4652 | N/A | N/A | |
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| **mono_128d** | 128 | 0.0110 | 0.4986 | N/A | N/A | |
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| **aligned_32d** | 32 | 0.2602 ๐ | 0.4847 | 0.0040 | 0.0920 | |
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| **aligned_64d** | 64 | 0.0664 | 0.4845 | 0.0080 | 0.1160 | |
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| **aligned_128d** | 128 | 0.0110 | 0.5055 | 0.0120 | 0.1160 | |
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### Key Findings |
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- **Best Isotropy:** aligned_32d with 0.2602 (more uniform distribution) |
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- **Semantic Density:** Average pairwise similarity of 0.4870. Lower values indicate better semantic separation. |
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- **Alignment Quality:** Aligned models achieve up to 1.2% R@1 in cross-lingual retrieval. |
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- **Recommendation:** 128d aligned for best cross-lingual performance |
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--- |
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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 | |
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|--------|-------|----------------|----------------| |
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| Productivity Index | **5.000** | High morphological productivity | Reliable analysis | |
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| Idiomaticity Gap | **1.860** | 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 |
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| Prefix | Examples | |
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|--------|----------| |
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| `-๊ ` | ๊ ๊ ฃ๊
๊ ๊ ๊ ฅ๊ ๊ ค, ๊ ๊ ฃ๊ ๊ ฃ๊ , ๊ ๊ ๊ ๊ ๊ ค | |
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| `-๊ ก` | ๊ ก๊ ค๊ ก๊ ๊ , ๊ ก๊ ข๊ ค๊ , ๊ ก๊ ฅ๊ ๊ ค๊ ๊ ฃ | |
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| `-๊ ` | ๊ ๊ ๊ ๊ ฃ๊ ๊ ฆ, ๊ ๊ ก๊ , ๊ ๊ ๊ ฃ๊ ๊ | |
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| `-๊ ` | ๊ ๊ ๊ , ๊ ๊ ค๊ ๊ ฃ๊ ๊ , ๊ ๊ ค๊ | |
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| `-๊ ` | ๊ ๊ ฆ, ๊ ๊ ๊ ๊ ๊ ๊ , ๊ ๊ ๊ ๊ ๊ ฃ๊ ๊ ฃ๊ | |
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| `-๊ ` | ๊ ๊ ฅ๊ ๊ ฃ๊ , ๊ ๊ ๊ ๊ ก๊ ฃ๊ ก๊ ๊ ค๊ ๊ ๊ ฃ๊ ๊ ฆ, ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ | |
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| `-๊ ` | ๊ ๊ ๊ ๊ ๊ ๊ ฃ, ๊ ๊ ฆ๊ ๊ ๊ ฃ, ๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ | |
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| `-๊ ` | ๊ ๊ ค๊ ๊ ฃ๊ , ๊ ๊ ฅ๊ ๊ ฃ๊ ๊ ฃ, ๊ ๊ ฆ๊ ๊ ๊ ฅ๊ | |
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#### Productive Suffixes |
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| Suffix | Examples | |
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| `-๊ ` | ๊ ๊ ค๊ ๊ ฃ๊ , ๊ ๊ ๊ , ๊ ๊ ๊ ๊ | |
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| `-๊ ` | ๊ ๊ ฅ๊ ๊ ฃ๊ , ๊ ๊ ๊ ๊ ฃ๊ ๊ , ๊ ข๊ ค๊ ๊ ๊ ๊ ฅ๊ ก๊ ๊ ๊ ฃ๊ | |
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| `-๊ ` | ๊ ๊ ค๊ ๊ ค๊ ๊ ค๊ , ๊ ๊ ฃ๊ ๊ ฃ๊ , ๊ ๊ ๊ ๊ ฃ๊ | |
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| `-๊ ` | ๊ ๊ ก๊ , ๊ ๊ , ๊ ๊ ฃ๊ ๊ ฅ๊ | |
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| `-๊ ` | ๊ ๊ ฆ๊ ๊ ๊ ฅ๊ , ๊ ก๊ ๊ ๊ ๊ ๊ ๊ , ๊ ๊ ๊ ฃ๊ ๊ ค๊ | |
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| `-๊ ๊ ` | ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ , ๊ ๊ ฆ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ , ๊ ก๊ ข๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ | |
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| `-๊ ๊ ` | ๊ ๊ ค๊ ก๊ ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ฃ๊ ๊ , ๊ ๊ ๊ ๊ ๊ ฆ๊ ๊ , ๊ ๊ ค๊ ๊ ๊ | |
|
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| `-๊ ๊ ` | ๊ ๊ ๊ , ๊
๊ ๊ ๊ ฃ๊ ๊ , ๊ ก๊ ๊ ๊ ๊ ๊ | |
|
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### 6.3 Bound Stems (Lexical Roots) |
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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. |
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*No significant bound stems detected.* |
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### 6.4 Affix Compatibility (Co-occurrence) |
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This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology. |
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| Prefix | Suffix | Frequency | Examples | |
|
|
|--------|--------|-----------|----------| |
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|
| `-๊ ` | `-๊ ` | 52 words | ๊ ๊ ฃ๊ ๊ ฃ๊ , ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊ | |
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| `-๊ ` | `-๊ ` | 51 words | ๊ ๊ ๊ , ๊ ๊ ๊ ๊ ๊ ๊ | |
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| `-๊ ก` | `-๊ ` | 35 words | ๊ ก๊ ฃ๊ ข๊ ๊ ค๊ ๊ , ๊ ก๊ ฃ๊ ข๊ ๊ ฃ๊ ๊ ฃ๊ ๊ ฆ๊ | |
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| `-๊ ` | `-๊ ` | 35 words | ๊ ๊ ๊ ๊ ๊ ค๊ ๊ ๊ ฃ๊ , ๊ ๊ ฃ๊ ๊ ๊ ๊ ก๊ ค๊ ๊ | |
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| `-๊ ` | `-๊ ` | 33 words | ๊ ๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ , ๊ ๊ ฅ๊ ๊ ฅ๊ ก๊ ๊ ๊ ฃ๊ | |
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| `-๊ ` | `-๊ ` | 31 words | ๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ , ๊ ๊ ค๊ ๊ ๊ | |
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| `-๊ ` | `-๊ ` | 23 words | ๊ ๊ ๊ ฃ๊ ๊ , ๊ ๊ ๊ ค๊ | |
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| `-๊ ` | `-๊ ` | 20 words | ๊ ๊ ค๊ ก๊ ๊ ก๊ ฃ๊ ๊ ค๊ ๊ ๊ ฃ๊ ๊ , ๊ ๊ ฃ๊ ๊ ฃ๊ | |
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| `-๊ ` | `-๊ ` | 19 words | ๊ ๊ ฅ๊ ๊ ฃ๊ , ๊ ๊ ๊ ๊ ๊ ๊ | |
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| `-๊ ` | `-๊ ` | 19 words | ๊ ๊ ค๊ ๊ ฃ๊ , ๊ ๊ ๊ ฃ๊ ๊ ค๊ | |
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### 6.5 Recursive Morpheme Segmentation |
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Using **Recursive Hierarchical Substitutability**, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., `prefix-prefix-root-suffix`). |
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| Word | Suggested Split | Confidence | Stem | |
|
|
|------|-----------------|------------|------| |
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| ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ฆ๊ ก๊ ๊ | **`๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ ฆ๊ ก-๊ -๊ `** | 7.5 | `๊ ` | |
|
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| ๊
๊ ก๊ ๊ ๊ ฆ๊ ๊ ค๊ ๊ | **`๊
๊ ก๊ ๊ ๊ ฆ๊ ๊ ค๊ -๊ `** | 4.5 | `๊
๊ ก๊ ๊ ๊ ฆ๊ ๊ ค๊ ` | |
|
|
| ๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊
๊ | **`๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊
-๊ `** | 4.5 | `๊ ๊ ฃ๊ ๊ ๊ ฃ๊ ๊ ฆ๊ ก๊
` | |
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| ๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ ๊ ฃ๊ | **`๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ ๊ ฃ-๊ `** | 4.5 | `๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ ๊ ฃ` | |
|
|
| ๊ ๊ ฅ๊ ข๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ๊ | **`๊ ๊ ฅ๊ ข๊ ฃ๊ ๊ ๊ ๊ ฃ๊ -๊ `** | 4.5 | `๊ ๊ ฅ๊ ข๊ ฃ๊ ๊ ๊ ๊ ฃ๊ ` | |
|
|
| ๊ ๊ ค๊ ๊ ๊ ฅ๊ ๊ ๊ ๊ | **`๊ ๊ ค๊ ๊ ๊ ฅ๊ ๊ ๊ -๊ `** | 4.5 | `๊ ๊ ค๊ ๊ ๊ ฅ๊ ๊ ๊ ` | |
|
|
| ๊ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ ๊ | **`๊ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ -๊ `** | 4.5 | `๊ ๊ ๊ ค๊ ๊ ๊ ๊ ๊ ๊ ๊ ฃ๊ ` | |
|
|
| ๊ ๊ ๊ ก๊ ๊ ๊ ๊ ๊ ฃ๊ | **`๊ ๊ ๊ ก๊ ๊ ๊ ๊ ๊ ฃ-๊ `** | 4.5 | `๊ ๊ ๊ ก๊ ๊ ๊ ๊ ๊ ฃ` | |
|
|
| ๊ ๊ ๊ ฅ๊ ๊ ๊ ค๊ ข๊ ๊ | **`๊ -๊ ๊ ฅ๊ ๊ ๊ ค๊ ข๊ ๊ `** | 4.5 | `๊ ๊ ฅ๊ ๊ ๊ ค๊ ข๊ ๊ ` | |
|
|
| ๊ ๊ ค๊ ๊ ๊ ฆ๊ ๊ ๊ ๊ | **`๊ ๊ ค๊ ๊ ๊ ฆ๊ ๊ ๊ -๊ `** | 4.5 | `๊ ๊ ค๊ ๊ ๊ ฆ๊ ๊ ๊ ` | |
|
|
| ๊ ๊ ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ค๊ | **`๊ ๊ ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ค-๊ `** | 4.5 | `๊ ๊ ๊ ๊ ๊ ๊ ๊ ฅ๊ ๊ ค` | |
|
|
| ๊ ๊ ๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ฃ๊ | **`๊ ๊ ๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ฃ-๊ `** | 4.5 | `๊ ๊ ๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ฃ` | |
|
|
| ๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ ๊ ค๊ ๊ ค๊ | **`๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ ๊ ค๊ ๊ ค-๊ `** | 4.5 | `๊ ๊ ฃ๊ ๊ ๊ ๊ ฅ๊ ๊ ค๊ ๊ ค` | |
|
|
| ๊ ก๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ๊ | **`๊ ก๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ -๊ `** | 4.5 | `๊ ก๊ ๊ ๊ ๊ ฃ๊ ๊ ๊ ๊ ` | |
|
|
| ๊ ๊ ๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ฃ๊ | **`๊ ๊ ๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ฃ-๊ `** | 4.5 | `๊ ๊ ๊ ๊ ๊ ค๊ ก๊ ๊ ๊ ฃ` | |
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### 6.6 Linguistic Interpretation |
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> **Automated Insight:** |
|
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The language Sylheti shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding. |
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> **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. |
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--- |
|
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## 7. Summary & Recommendations |
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 |
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### Production Recommendations |
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| Component | Recommended | Rationale | |
|
|
|-----------|-------------|-----------| |
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| Tokenizer | **32k BPE** | Best compression (4.02x) | |
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| N-gram | **2-gram** | Lowest perplexity (691) | |
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| Markov | **Context-4** | Highest predictability (99.2%) | |
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| Embeddings | **100d** | Balanced semantic capture and isotropy | |
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--- |
|
|
## Appendix: Metrics Glossary & Interpretation Guide |
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This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report. |
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### Tokenizer Metrics |
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**Compression Ratio** |
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> *Definition:* The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text. |
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> |
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|
> *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. |
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> |
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|
> *What to seek:* Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information. |
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**Average Token Length (Fertility)** |
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> *Definition:* Mean number of characters per token produced by the tokenizer. |
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> |
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> *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. |
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> |
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> *What to seek:* Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens. |
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**Unknown Token Rate (OOV Rate)** |
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> *Definition:* Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent. |
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> |
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> *Intuition:* Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences. |
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> |
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> *What to seek:* Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback. |
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|
### N-gram Model Metrics |
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**Perplexity** |
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> *Definition:* Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction. |
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> |
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|
> *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. |
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> |
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> *What to seek:* Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size. |
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**Entropy** |
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> *Definition:* Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy. |
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> |
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|
> *Intuition:* High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character. |
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> |
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> *What to seek:* Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases. |
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**Coverage (Top-K)** |
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> *Definition:* Percentage of corpus occurrences explained by the top K most frequent n-grams. |
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> |
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|
> *Intuition:* High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage. |
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> |
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|
> *What to seek:* Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text. |
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|
### Markov Chain Metrics |
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**Average Entropy** |
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> *Definition:* Mean entropy across all contexts, measuring average uncertainty in next-word prediction. |
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> |
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> *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). |
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> |
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> *What to seek:* Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions. |
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**Branching Factor** |
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|
> *Definition:* Average number of unique next tokens observed for each context. |
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> |
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> *Intuition:* High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive). |
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> |
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> *What to seek:* Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains. |
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**Predictability** |
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> *Definition:* Derived metric: (1 - normalized_entropy) ร 100%. Indicates how deterministic the model's predictions are. |
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> |
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> *Intuition:* 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes. |
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> |
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|
> *What to seek:* Higher predictability for text generation quality, but too high (>98%) may produce repetitive output. |
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|
### Vocabulary & Zipf's Law Metrics |
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**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). |
|
|
2. **Consider trade-offs:** Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate). |
|
|
3. **Context matters:** Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification. |
|
|
4. **Corpus influence:** All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature. |
|
|
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 | |
|
|
| Tokenizer Fertility | Average token length by vocabulary | |
|
|
| Tokenizer OOV | Unknown token rates | |
|
|
| Tokenizer Total Tokens | Total tokens by vocabulary | |
|
|
| N-gram Perplexity | Perplexity by n-gram size | |
|
|
| N-gram Entropy | Entropy by n-gram size | |
|
|
| 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 | |
|
|
| Markov Contexts | Unique context counts | |
|
|
| Zipf's Law | Frequency-rank distribution with fit | |
|
|
| 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 | |
|
|
| Nearest Neighbors | Similar words for key terms | |
|
|
| t-SNE Words | 2D word embedding visualization | |
|
|
| t-SNE Sentences | 2D sentence embedding visualization | |
|
|
| Position Encoding | Encoding method comparison | |
|
|
| Model Sizes | Storage requirements | |
|
|
| Performance Dashboard | Comprehensive performance overview | |
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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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|
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|
|
```bibtex |
|
|
@misc{wikilangs2025, |
|
|
author = {Kamali, Omar}, |
|
|
title = {Wikilangs: Open NLP Models for Wikipedia Languages}, |
|
|
year = {2025}, |
|
|
doi = {10.5281/zenodo.18073153}, |
|
|
publisher = {Zenodo}, |
|
|
url = {https://huggingface.co/wikilangs} |
|
|
institution = {Omneity Labs} |
|
|
} |
|
|
``` |
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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 23:59:58* |
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