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- README.md +307 -138
- models/embeddings/monolingual/bxr_128d.bin +2 -2
- models/embeddings/monolingual/bxr_128d_metadata.json +5 -3
- models/embeddings/monolingual/bxr_32d.bin +2 -2
- models/embeddings/monolingual/bxr_32d_metadata.json +5 -3
- models/embeddings/monolingual/bxr_64d.bin +2 -2
- models/embeddings/monolingual/bxr_64d_metadata.json +5 -3
- models/subword_markov/bxr_markov_ctx1_subword.parquet +2 -2
- models/subword_markov/bxr_markov_ctx1_subword_metadata.json +2 -2
- models/subword_markov/bxr_markov_ctx2_subword.parquet +2 -2
- models/subword_markov/bxr_markov_ctx2_subword_metadata.json +2 -2
- models/subword_markov/bxr_markov_ctx3_subword.parquet +2 -2
- models/subword_markov/bxr_markov_ctx3_subword_metadata.json +2 -2
- models/subword_markov/bxr_markov_ctx4_subword.parquet +2 -2
- models/subword_markov/bxr_markov_ctx4_subword_metadata.json +2 -2
- models/subword_ngram/bxr_2gram_subword.parquet +2 -2
- models/subword_ngram/bxr_2gram_subword_metadata.json +2 -2
- models/subword_ngram/bxr_3gram_subword.parquet +2 -2
- models/subword_ngram/bxr_3gram_subword_metadata.json +2 -2
- models/subword_ngram/bxr_4gram_subword.parquet +2 -2
- models/subword_ngram/bxr_4gram_subword_metadata.json +2 -2
- models/tokenizer/bxr_tokenizer_16k.model +2 -2
- models/tokenizer/bxr_tokenizer_16k.vocab +0 -0
- models/tokenizer/bxr_tokenizer_32k.model +2 -2
- models/tokenizer/bxr_tokenizer_32k.vocab +0 -0
- models/tokenizer/bxr_tokenizer_64k.model +2 -2
- models/tokenizer/bxr_tokenizer_64k.vocab +0 -0
- models/tokenizer/bxr_tokenizer_8k.model +2 -2
- models/tokenizer/bxr_tokenizer_8k.vocab +0 -0
- models/vocabulary/bxr_vocabulary.parquet +2 -2
- models/vocabulary/bxr_vocabulary_metadata.json +10 -9
- models/word_markov/bxr_markov_ctx1_word.parquet +2 -2
- models/word_markov/bxr_markov_ctx1_word_metadata.json +2 -2
- models/word_markov/bxr_markov_ctx2_word.parquet +2 -2
- models/word_markov/bxr_markov_ctx2_word_metadata.json +2 -2
- models/word_markov/bxr_markov_ctx3_word.parquet +2 -2
- models/word_markov/bxr_markov_ctx3_word_metadata.json +2 -2
- models/word_markov/bxr_markov_ctx4_word.parquet +2 -2
- models/word_markov/bxr_markov_ctx4_word_metadata.json +2 -2
- models/word_ngram/bxr_2gram_word.parquet +2 -2
- models/word_ngram/bxr_2gram_word_metadata.json +2 -2
- models/word_ngram/bxr_3gram_word.parquet +2 -2
- models/word_ngram/bxr_3gram_word_metadata.json +2 -2
- models/word_ngram/bxr_4gram_word.parquet +2 -2
- models/word_ngram/bxr_4gram_word_metadata.json +2 -2
- visualizations/embedding_isotropy.png +0 -0
- visualizations/embedding_norms.png +0 -0
- visualizations/embedding_similarity.png +2 -2
- visualizations/markov_branching.png +0 -0
- visualizations/markov_contexts.png +0 -0
README.md
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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.
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- name: best_isotropy
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type: isotropy
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value: 0.
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- name: vocabulary_size
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type: vocab
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value:
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generated:
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---
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# BXR - Wikilangs Models
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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-gram)
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- Markov chains (context of 1, 2, 3 and
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- Subword N-gram and Markov chains
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- Embeddings in various sizes and dimensions
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- Language Vocabulary
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- Language Statistics
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### Analysis and 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.
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- [Metrics Glossary](#appendix-metrics-glossary--interpretation-guide)
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- [Visualizations Index](#visualizations-index)
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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.
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| **16k** | 3.
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| **32k** |
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| **64k** | 4.
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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:**
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Категори:Австрали ба Океани`
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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**Sample 2:** `Зимбабве - Африкийн улас.
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Категори:Африка`
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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**Sample 3:**
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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### Key Findings
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- **Best Compression:** 64k achieves 4.
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- **Lowest UNK Rate:** 8k with 0.
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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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### Results
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| N-gram | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
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| **2-gram** |
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| **2-gram** |
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### Top 5 N-grams by Size
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**2-grams:**
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| Rank | N-gram | Count |
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| Rank | N-gram | Count |
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| Rank | N-gram | Count |
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### Key Findings
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- **Best Perplexity:** 2-gram with
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- **Entropy Trend:** Decreases with larger n-grams (more predictable)
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- **Coverage:** Top-1000 patterns cover ~
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- **Recommendation:** 4-gram or 5-gram for best predictive performance
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---
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### Results
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| Context | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
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**Context Size 1:**
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**Context Size 2:**
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**Context Size 3:**
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**Context Size 4:**
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### Key Findings
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- **Branching Factor:** Decreases with context size (more deterministic)
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- **Memory Trade-off:** Larger contexts require more storage (
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- **Recommendation:** Context-3 or Context-4 for text generation
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---
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| Metric | Value |
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|--------|-------|
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| Vocabulary Size |
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| Total Tokens |
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| Mean Frequency | 13.
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| Median Frequency | 3 |
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### Most Common Words
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| Rank | Word | Frequency |
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### Least Common Words (from vocabulary)
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### Zipf's Law Analysis
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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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### Key Findings
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---
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## 5. Word Embeddings Evaluation
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### Model Comparison
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### Key Findings
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- **Best Isotropy:** mono_32d with 0.
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- **Recommendation:**
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---
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## 6.
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| Component | Recommended | Rationale |
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|-----------|-------------|-----------|
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| Tokenizer | **
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| N-gram | **
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| Markov | **Context-4** | Highest predictability (
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| Embeddings | **100d** | Balanced semantic capture and isotropy |
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---
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## Appendix: Metrics Glossary & Interpretation Guide
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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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url = {https://huggingface.co/wikilangs}
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institution = {Omneity Labs}
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}
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- 🤗 Models: [huggingface.co/wikilangs](https://huggingface.co/wikilangs)
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- 📊 Data: [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly)
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- 👤 Author: [Omar Kamali](https://huggingface.co/omarkamali)
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---
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*Generated by Wikilangs Models Pipeline*
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*Report Date:
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metrics:
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- name: best_compression_ratio
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type: compression
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value: 4.390
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- name: best_isotropy
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type: isotropy
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+
value: 0.8916
|
| 30 |
- name: vocabulary_size
|
| 31 |
type: vocab
|
| 32 |
+
value: 0
|
| 33 |
+
generated: 2026-01-03
|
| 34 |
---
|
| 35 |
|
| 36 |
# BXR - Wikilangs Models
|
|
|
|
| 44 |
### Models & Assets
|
| 45 |
|
| 46 |
- Tokenizers (8k, 16k, 32k, 64k)
|
| 47 |
+
- N-gram models (2, 3, 4, 5-gram)
|
| 48 |
+
- Markov chains (context of 1, 2, 3, 4 and 5)
|
| 49 |
- Subword N-gram and Markov chains
|
| 50 |
+
- Embeddings in various sizes and dimensions (aligned and unaligned)
|
| 51 |
- Language Vocabulary
|
| 52 |
- Language Statistics
|
| 53 |
+
|
| 54 |

|
| 55 |
|
| 56 |
### Analysis and Evaluation
|
|
|
|
| 60 |
- [3. Markov Chain Evaluation](#3-markov-chain-evaluation)
|
| 61 |
- [4. Vocabulary Analysis](#4-vocabulary-analysis)
|
| 62 |
- [5. Word Embeddings Evaluation](#5-word-embeddings-evaluation)
|
| 63 |
+
- [6. Morphological Analysis (Experimental)](#6-morphological-analysis)
|
| 64 |
+
- [7. Summary & Recommendations](#7-summary--recommendations)
|
| 65 |
- [Metrics Glossary](#appendix-metrics-glossary--interpretation-guide)
|
| 66 |
- [Visualizations Index](#visualizations-index)
|
| 67 |
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|
|
|
| 70 |
|
| 71 |

|
| 72 |
|
| 73 |
+

|
| 74 |
+
|
| 75 |
+

|
| 76 |
+
|
| 77 |
+

|
| 78 |
+
|
| 79 |
### Results
|
| 80 |
|
| 81 |
| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens |
|
| 82 |
|------------|-------------|---------------|----------|--------------|
|
| 83 |
+
| **8k** | 3.450x | 3.45 | 0.1418% | 628,340 |
|
| 84 |
+
| **16k** | 3.842x | 3.84 | 0.1579% | 564,308 |
|
| 85 |
+
| **32k** | 4.148x | 4.15 | 0.1705% | 522,647 |
|
| 86 |
+
| **64k** | 4.390x 🏆 | 4.39 | 0.1804% | 493,909 |
|
| 87 |
|
| 88 |
### Tokenization Examples
|
| 89 |
|
| 90 |
Below are sample sentences tokenized with each vocabulary size:
|
| 91 |
|
| 92 |
+
**Sample 1:** `Цзяинь - Ород Википеэдийн Үбэр Монголой долоо хоногой үгүүлэл. Мүн үзэхэ Үбэр Мо...`
|
|
|
|
|
|
|
| 93 |
|
| 94 |
| Vocab | Tokens | Count |
|
| 95 |
|-------|--------|-------|
|
| 96 |
+
| 8k | `▁цз я инь ▁- ▁ород ▁википеэдийн ▁үбэр ▁монголой ▁долоо ▁хоногой ... (+8 more)` | 18 |
|
| 97 |
+
| 16k | `▁цз я инь ▁- ▁ород ▁википеэдийн ▁үбэр ▁монголой ▁долоо ▁хоногой ... (+8 more)` | 18 |
|
| 98 |
+
| 32k | `▁цзя инь ▁- ▁ород ▁википеэдийн ▁үбэр ▁монголой ▁долоо ▁хоногой ▁үгүүлэл ... (+7 more)` | 17 |
|
| 99 |
+
| 64k | `▁цзяинь ▁- ▁ород ▁википеэдийн ▁үбэр ▁монголой ▁долоо ▁хоногой ▁үгүүлэл . ... (+6 more)` | 16 |
|
|
|
|
|
|
|
| 100 |
|
| 101 |
+
**Sample 2:** `Мобилизаци гээшэ зэбсэгтэ хүсэниие энхэ тайбангай байдалһаань дайнай байдалда ор...`
|
|
|
|
| 102 |
|
| 103 |
| Vocab | Tokens | Count |
|
| 104 |
|-------|--------|-------|
|
| 105 |
+
| 8k | `▁м об ил изаци ���гээшэ ▁зэбсэгтэ ▁хүсэн иие ▁энхэ ▁тайбан ... (+11 more)` | 21 |
|
| 106 |
+
| 16k | `▁м об ил изаци ▁гээшэ ▁зэбсэгтэ ▁хүсэниие ▁энхэ ▁тайбан гай ... (+9 more)` | 19 |
|
| 107 |
+
| 32k | `▁м обилизаци ▁гээшэ ▁зэбсэгтэ ▁хүсэниие ▁энхэ ▁тайбангай ▁байдалһаань ▁дайнай ▁байдалда ... (+5 more)` | 15 |
|
| 108 |
+
| 64k | `▁мобилизаци ▁гээшэ ▁зэбсэгтэ ▁хүсэниие ▁энхэ ▁тайбангай ▁байдалһаань ▁дайнай ▁байдалда ▁оруулха ... (+4 more)` | 14 |
|
| 109 |
|
| 110 |
+
**Sample 3:** `Гильзэ — буугай һомоной түмэр патрон. Зүүлтэ зэбсэг`
|
| 111 |
|
| 112 |
| Vocab | Tokens | Count |
|
| 113 |
|-------|--------|-------|
|
| 114 |
+
| 8k | `▁г иль зэ ▁— ▁буу гай ▁һом оной ▁түмэр ▁патр ... (+4 more)` | 14 |
|
| 115 |
+
| 16k | `▁г иль зэ ▁— ▁буу гай ▁һомоной ▁түмэр ▁патр он ... (+3 more)` | 13 |
|
| 116 |
+
| 32k | `▁г иль зэ ▁— ▁буу гай ▁һомоной ▁түмэр ▁патр он ... (+3 more)` | 13 |
|
| 117 |
+
| 64k | `▁г иль зэ ▁— ▁буугай ▁һомоной ▁түмэр ▁патрон . ▁зүүлтэ ... (+1 more)` | 11 |
|
| 118 |
|
| 119 |
|
| 120 |
### Key Findings
|
| 121 |
|
| 122 |
+
- **Best Compression:** 64k achieves 4.390x compression
|
| 123 |
+
- **Lowest UNK Rate:** 8k with 0.1418% unknown tokens
|
| 124 |
- **Trade-off:** Larger vocabularies improve compression but increase model size
|
| 125 |
- **Recommendation:** 32k vocabulary provides optimal balance for production use
|
| 126 |
|
|
|
|
| 129 |
|
| 130 |

|
| 131 |
|
| 132 |
+

|
| 133 |
+
|
| 134 |

|
| 135 |
|
| 136 |
### Results
|
| 137 |
|
| 138 |
+
| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
|
| 139 |
+
|--------|---------|------------|---------|----------------|------------------|-------------------|
|
| 140 |
+
| **2-gram** | Word | 4,169 | 12.03 | 8,128 | 19.5% | 49.4% |
|
| 141 |
+
| **2-gram** | Subword | 452 🏆 | 8.82 | 3,823 | 56.9% | 96.7% |
|
| 142 |
+
| **3-gram** | Word | 3,724 | 11.86 | 7,805 | 24.5% | 47.7% |
|
| 143 |
+
| **3-gram** | Subword | 3,736 | 11.87 | 29,340 | 20.6% | 62.1% |
|
| 144 |
+
| **4-gram** | Word | 7,537 | 12.88 | 14,616 | 19.0% | 34.7% |
|
| 145 |
+
| **4-gram** | Subword | 18,031 | 14.14 | 124,835 | 9.4% | 34.5% |
|
| 146 |
|
| 147 |
### Top 5 N-grams by Size
|
| 148 |
|
| 149 |
+
**2-grams (Word):**
|
| 150 |
+
|
| 151 |
+
| Rank | N-gram | Count |
|
| 152 |
+
|------|--------|-------|
|
| 153 |
+
| 1 | `энэ үдэр` | 1,070 |
|
| 154 |
+
| 2 | `гү али` | 1,030 |
|
| 155 |
+
| 3 | `of the` | 465 |
|
| 156 |
+
| 4 | `байна энэ` | 415 |
|
| 157 |
+
| 5 | `бүгэдэ найрамдаха` | 396 |
|
| 158 |
+
|
| 159 |
+
**3-grams (Word):**
|
| 160 |
|
| 161 |
| Rank | N-gram | Count |
|
| 162 |
|------|--------|-------|
|
| 163 |
+
| 1 | `үдэр наһа бараһаниинь` | 353 |
|
| 164 |
+
| 2 | `үдэр тохёоһон үйлэ` | 353 |
|
| 165 |
+
| 3 | `энэ үдэр түрэһэниинь` | 353 |
|
| 166 |
+
| 4 | `үйлэ ябадалай жагсаалта` | 353 |
|
| 167 |
+
| 5 | `энэ үдэр тохёоһон` | 353 |
|
| 168 |
|
| 169 |
+
**4-grams (Word):**
|
| 170 |
|
| 171 |
| Rank | N-gram | Count |
|
| 172 |
|------|--------|-------|
|
| 173 |
+
| 1 | `энэ үдэр наһа бараһаниинь` | 353 |
|
| 174 |
+
| 2 | `тохёоһон үйлэ ябадалай жагсаалта` | 353 |
|
| 175 |
+
| 3 | `үдэр тохёоһон үйлэ ябадалай` | 353 |
|
| 176 |
+
| 4 | `энэ үдэр тохёоһон үйлэ` | 353 |
|
| 177 |
+
| 5 | `энэ үдэрэй тэ��дэглэлтэ баяр` | 345 |
|
| 178 |
|
| 179 |
+
**2-grams (Subword):**
|
| 180 |
|
| 181 |
| Rank | N-gram | Count |
|
| 182 |
|------|--------|-------|
|
| 183 |
+
| 1 | `н _` | 82,295 |
|
| 184 |
+
| 2 | `й _` | 56,691 |
|
| 185 |
+
| 3 | `_ б` | 54,353 |
|
| 186 |
+
| 4 | `_ х` | 50,092 |
|
| 187 |
+
| 5 | `а й` | 48,574 |
|
| 188 |
+
|
| 189 |
+
**3-grams (Subword):**
|
| 190 |
+
|
| 191 |
+
| Rank | N-gram | Count |
|
| 192 |
+
|------|--------|-------|
|
| 193 |
+
| 1 | `а й _` | 24,558 |
|
| 194 |
+
| 2 | `_ б а` | 24,246 |
|
| 195 |
+
| 3 | `ы н _` | 18,435 |
|
| 196 |
+
| 4 | `э й _` | 17,416 |
|
| 197 |
+
| 5 | `а н _` | 16,805 |
|
| 198 |
+
|
| 199 |
+
**4-grams (Subword):**
|
| 200 |
+
|
| 201 |
+
| Rank | N-gram | Count |
|
| 202 |
+
|------|--------|-------|
|
| 203 |
+
| 1 | `_ б а й` | 12,907 |
|
| 204 |
+
| 2 | `_ б о л` | 11,173 |
|
| 205 |
+
| 3 | `б о л о` | 9,002 |
|
| 206 |
+
| 4 | `и и н _` | 6,889 |
|
| 207 |
+
| 5 | `_ у л а` | 6,870 |
|
| 208 |
|
| 209 |
|
| 210 |
### Key Findings
|
| 211 |
|
| 212 |
+
- **Best Perplexity:** 2-gram (subword) with 452
|
| 213 |
- **Entropy Trend:** Decreases with larger n-grams (more predictable)
|
| 214 |
+
- **Coverage:** Top-1000 patterns cover ~35% of corpus
|
| 215 |
- **Recommendation:** 4-gram or 5-gram for best predictive performance
|
| 216 |
|
| 217 |
---
|
|
|
|
| 219 |
|
| 220 |

|
| 221 |
|
| 222 |
+

|
| 223 |
+
|
| 224 |

|
| 225 |
|
| 226 |
### Results
|
| 227 |
|
| 228 |
+
| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
|
| 229 |
+
|---------|---------|-------------|------------|------------------|-----------------|----------------|
|
| 230 |
+
| **1** | Word | 0.7391 | 1.669 | 4.14 | 92,909 | 26.1% |
|
| 231 |
+
| **1** | Subword | 0.8623 | 1.818 | 5.69 | 2,141 | 13.8% |
|
| 232 |
+
| **2** | Word | 0.1430 | 1.104 | 1.26 | 383,260 | 85.7% |
|
| 233 |
+
| **2** | Subword | 0.8174 | 1.762 | 5.04 | 12,176 | 18.3% |
|
| 234 |
+
| **3** | Word | 0.0340 | 1.024 | 1.05 | 482,888 | 96.6% |
|
| 235 |
+
| **3** | Subword | 0.7977 | 1.738 | 3.77 | 61,348 | 20.2% |
|
| 236 |
+
| **4** | Word | 0.0111 🏆 | 1.008 | 1.02 | 504,904 | 98.9% |
|
| 237 |
+
| **4** | Subword | 0.5768 | 1.491 | 2.40 | 230,966 | 42.3% |
|
| 238 |
+
|
| 239 |
+
### Generated Text Samples (Word-based)
|
| 240 |
|
| 241 |
+
Below are text samples generated from each word-based Markov chain model:
|
| 242 |
|
| 243 |
+
**Context Size 1:**
|
| 244 |
+
|
| 245 |
+
1. `ба үлэнтэй шэлэ нюруу шулуун харшанууд гэхэ мэтэ болобош 1 хушааһан 4 зуун орост нуран унажа`
|
| 246 |
+
2. `юм зүүлтэ гадаада ба хүн гэжэ намые арадай хуралай депутатаар һунгагдаһан юрэнхылэгшэ байгаа тула тэ...`
|
| 247 |
+
3. `энэ үедэ мадрид мадридынь шэнэ үгэнүүд бии гал носоохо гал задагай агаарта гү али алинда гарза`
|
| 248 |
+
|
| 249 |
+
**Context Size 2:**
|
| 250 |
+
|
| 251 |
+
1. `энэ үдэр тохёоһон үйлэ ябадалай жагсаалта энэ үдэр түрэһэниинь оной урда үе энэ үдэр тохёоһон үйлэ я...`
|
| 252 |
+
2. `гү али бэеын дархалалай харюу урбалаар янза бүриин үнгэтэй улаан ногоон шара г м түлэб хиинүүдынь хи...`
|
| 253 |
+
3. `of the american library association energy data statistics for russia from the principles of water i...`
|
| 254 |
+
|
| 255 |
+
**Context Size 3:**
|
| 256 |
+
|
| 257 |
+
1. `энэ үдэр түрэһэниинь энэ үдэр наһа бараһаниинь николай островский зүблэлтэ зохёолшо как закалялась с...`
|
| 258 |
+
2. `тохёоһон үйлэ ябадалай жагсаалта энэ үдэр түрэһэниинь энэ үдэр наһа бараһаниинь энэ үдэрэй тэмдэглэл...`
|
| 259 |
+
3. `энэ үдэр тохёоһон үйлэ ябадалай жагсаалта энэ үдэр түрэһэниинь энэ үдэр наһа бараһаниинь энэ үдэрэй ...`
|
| 260 |
+
|
| 261 |
+
**Context Size 4:**
|
| 262 |
+
|
| 263 |
+
1. `үдэр тохёоһон үйлэ ябадалай жагсаалта энэ үдэр түрэһэниинь энэ үдэр наһа бараһаниинь энэ үдэрэй тэмд...`
|
| 264 |
+
2. `энэ үдэр тохёоһон үйлэ ябадалай жагсаалта энэ үдэр түрэһэниинь энэ үдэр наһа бараһаниинь энэ үдэрэй ...`
|
| 265 |
+
3. `тохёоһон үйлэ ябадалай жагсаалта энэ үдэр түрэһэниинь оной урда үе энэ үдэр наһа бараһаниинь энэ үдэ...`
|
| 266 |
+
|
| 267 |
+
|
| 268 |
+
### Generated Text Samples (Subword-based)
|
| 269 |
+
|
| 270 |
+
Below are text samples generated from each subword-based Markov chain model:
|
| 271 |
|
| 272 |
**Context Size 1:**
|
| 273 |
|
| 274 |
+
1. `_raps_s_бон_аали`
|
| 275 |
+
2. `аандэрыноданаай_`
|
| 276 |
+
3. `эругэнь_ой_оте_м`
|
| 277 |
|
| 278 |
**Context Size 2:**
|
| 279 |
|
| 280 |
+
1. `н_хүн_юм.,_5_бари`
|
| 281 |
+
2. `й_(ганые_/kazano!`
|
| 282 |
+
3. `_бай_һар_180—512_`
|
| 283 |
|
| 284 |
**Context Size 3:**
|
| 285 |
|
| 286 |
+
1. `ай_ботар_(үндэ_үед`
|
| 287 |
+
2. `_баярын,_камын_ург`
|
| 288 |
+
3. `ын_5-дуңма_хэрэ_өө`
|
| 289 |
|
| 290 |
**Context Size 4:**
|
| 291 |
|
| 292 |
+
1. `_байлгаха_агналда_х`
|
| 293 |
+
2. `_боложо_уласые_байр`
|
| 294 |
+
3. `болон_тэнгисангуй_б`
|
| 295 |
|
| 296 |
|
| 297 |
### Key Findings
|
| 298 |
|
| 299 |
+
- **Best Predictability:** Context-4 (word) with 98.9% predictability
|
| 300 |
- **Branching Factor:** Decreases with context size (more deterministic)
|
| 301 |
+
- **Memory Trade-off:** Larger contexts require more storage (230,966 contexts)
|
| 302 |
- **Recommendation:** Context-3 or Context-4 for text generation
|
| 303 |
|
| 304 |
---
|
|
|
|
| 314 |
|
| 315 |
| Metric | Value |
|
| 316 |
|--------|-------|
|
| 317 |
+
| Vocabulary Size | 36,185 |
|
| 318 |
+
| Total Tokens | 491,809 |
|
| 319 |
+
| Mean Frequency | 13.59 |
|
| 320 |
| Median Frequency | 3 |
|
| 321 |
+
| Frequency Std Dev | 73.56 |
|
| 322 |
|
| 323 |
### Most Common Words
|
| 324 |
|
| 325 |
| Rank | Word | Frequency |
|
| 326 |
|------|------|-----------|
|
| 327 |
+
| 1 | ба | 3,838 |
|
| 328 |
+
| 2 | юм | 3,200 |
|
| 329 |
+
| 3 | энэ | 3,020 |
|
| 330 |
+
| 4 | ондо | 2,873 |
|
| 331 |
+
| 5 | болон | 2,652 |
|
| 332 |
+
| 6 | оной | 2,566 |
|
| 333 |
+
| 7 | байна | 2,566 |
|
| 334 |
+
| 8 | улас | 2,455 |
|
| 335 |
+
| 9 | the | 2,159 |
|
| 336 |
+
| 10 | of | 2,042 |
|
| 337 |
|
| 338 |
### Least Common Words (from vocabulary)
|
| 339 |
|
| 340 |
| Rank | Word | Frequency |
|
| 341 |
|------|------|-----------|
|
| 342 |
+
| 1 | үүсэбэринүүд | 2 |
|
| 343 |
+
| 2 | ᠮᠠᠨᠠᠶ | 2 |
|
| 344 |
+
| 3 | ᠲᠠᠢ | 2 |
|
| 345 |
+
| 4 | ᠮᠣᠩᠭᠤᠯ | 2 |
|
| 346 |
+
| 5 | ᠤᠷᠤᠨ | 2 |
|
| 347 |
+
| 6 | ᠮᠢᠨᠢ | 2 |
|
| 348 |
+
| 7 | ᠦᠷ | 2 |
|
| 349 |
+
| 8 | ᠵᠢᠷᠭᠠᠯ | 2 |
|
| 350 |
+
| 9 | дүхэригтэй | 2 |
|
| 351 |
+
| 10 | исибагай | 2 |
|
| 352 |
|
| 353 |
### Zipf's Law Analysis
|
| 354 |
|
| 355 |
| Metric | Value |
|
| 356 |
|--------|-------|
|
| 357 |
+
| Zipf Coefficient | 0.9662 |
|
| 358 |
+
| R² (Goodness of Fit) | 0.993759 |
|
| 359 |
| Adherence Quality | **excellent** |
|
| 360 |
|
| 361 |
### Coverage Analysis
|
| 362 |
|
| 363 |
| Top N Words | Coverage |
|
| 364 |
|-------------|----------|
|
| 365 |
+
| Top 100 | 22.2% |
|
| 366 |
+
| Top 1,000 | 52.2% |
|
| 367 |
+
| Top 5,000 | 74.6% |
|
| 368 |
+
| Top 10,000 | 84.1% |
|
| 369 |
|
| 370 |
### Key Findings
|
| 371 |
|
| 372 |
+
- **Zipf Compliance:** R²=0.9938 indicates excellent adherence to Zipf's law
|
| 373 |
+
- **High Frequency Dominance:** Top 100 words cover 22.2% of corpus
|
| 374 |
+
- **Long Tail:** 26,185 words needed for remaining 15.9% coverage
|
| 375 |
|
| 376 |
---
|
| 377 |
## 5. Word Embeddings Evaluation
|
|
|
|
| 384 |
|
| 385 |

|
| 386 |
|
|
|
|
| 387 |
|
| 388 |
+
### 5.1 Cross-Lingual Alignment
|
| 389 |
+
|
| 390 |
+
> *Note: Multilingual alignment visualization not available for this language.*
|
| 391 |
+
|
| 392 |
+
|
| 393 |
+
### 5.2 Model Comparison
|
| 394 |
+
|
| 395 |
+
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 |
|
| 396 |
+
|-------|-----------|----------|------------------|---------------|----------------|
|
| 397 |
+
| **mono_32d** | 32 | 0.8916 🏆 | 0.3371 | N/A | N/A |
|
| 398 |
+
| **mono_64d** | 64 | 0.8046 | 0.2601 | N/A | N/A |
|
| 399 |
+
| **mono_128d** | 128 | 0.3726 | 0.2357 | N/A | N/A |
|
| 400 |
|
| 401 |
### Key Findings
|
| 402 |
|
| 403 |
+
- **Best Isotropy:** mono_32d with 0.8916 (more uniform distribution)
|
| 404 |
+
- **Semantic Density:** Average pairwise similarity of 0.2776. Lower values indicate better semantic separation.
|
| 405 |
+
- **Alignment Quality:** No aligned models evaluated in this run.
|
| 406 |
+
- **Recommendation:** 128d aligned for best cross-lingual performance
|
| 407 |
|
| 408 |
---
|
| 409 |
+
## 6. Morphological Analysis (Experimental)
|
| 410 |
+
|
| 411 |
+
> ⚠️ **Warning:** This language shows low morphological productivity. The statistical signals used for this analysis may be noisy or less reliable than for morphologically rich languages.
|
| 412 |
+
|
| 413 |
+
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.
|
| 414 |
+
|
| 415 |
+
### 6.1 Productivity & Complexity
|
| 416 |
+
|
| 417 |
+
| Metric | Value | Interpretation | Recommendation |
|
| 418 |
+
|--------|-------|----------------|----------------|
|
| 419 |
+
| Productivity Index | **0.000** | Low morphological productivity | ⚠️ Likely unreliable |
|
| 420 |
+
| Idiomaticity Gap | **-1.000** | Low formulaic content | - |
|
| 421 |
+
|
| 422 |
+
### 6.2 Affix Inventory (Productive Units)
|
| 423 |
+
|
| 424 |
+
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.
|
| 425 |
+
|
| 426 |
+
#### Productive Prefixes
|
| 427 |
+
| Prefix | Examples |
|
| 428 |
+
|--------|----------|
|
| 429 |
+
| `-ба` | байхдаа, балнад, байһан |
|
| 430 |
+
|
| 431 |
+
#### Productive Suffixes
|
| 432 |
+
| Suffix | Examples |
|
| 433 |
+
|--------|----------|
|
| 434 |
+
| `-н` | хилын, биотехнологиин, зайдан |
|
| 435 |
+
| `-й` | феодорой, намуудай, зангай |
|
| 436 |
+
| `-ай` | намуудай, зангай, дарангылалай |
|
| 437 |
+
| `-ан` | зайдан, хааншалһан, буруудхан |
|
| 438 |
+
| `-эй` | сэнтэй, клэй, тэригүүдэй |
|
| 439 |
+
| `-ын` | хилын, доржын, эмнэлгын |
|
| 440 |
+
| `-ые` | хүүгэдые, различные, вермахтые |
|
| 441 |
+
| `-эн` | үйһэн, нэмэгдэһэн, дэбжүүлэн |
|
| 442 |
+
|
| 443 |
+
### 6.3 Bound Stems (Lexical Roots)
|
| 444 |
+
|
| 445 |
+
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.
|
| 446 |
+
|
| 447 |
+
| Stem | Cohesion | Substitutability | Examples |
|
| 448 |
+
|------|----------|------------------|----------|
|
| 449 |
+
| `анай` | 1.88x | 75 contexts | ганай, манай, ханай |
|
| 450 |
+
| `гуул` | 1.80x | 67 contexts | уугуул, агуулга, хайгуул |
|
| 451 |
+
| `эгдэ` | 1.65x | 93 contexts | жэгдэ, нэгдэн, нэгдэл |
|
| 452 |
+
| `азар` | 2.38x | 21 contexts | газар, базар, лазарь |
|
| 453 |
+
| `дэһэ` | 1.85x | 44 contexts | үдэһэн, гэдэһэ, үндэһэ |
|
| 454 |
+
| `энэй` | 1.75x | 53 contexts | сэнэй, үгэнэй, үһэнэй |
|
| 455 |
+
| `эдэг` | 1.70x | 57 contexts | гэдэг, хэдэг, ерэдэг |
|
| 456 |
+
| `алай` | 1.78x | 47 contexts | далай, малай, һалай |
|
| 457 |
+
| `ниин` | 1.85x | 40 contexts | ниинь, даниин, линиин |
|
| 458 |
+
| `нууд` | 1.62x | 56 contexts | онууд, орнууд, ионууд |
|
| 459 |
+
| `үндэ` | 1.75x | 39 contexts | һүндэ, хүндэ, үндэр |
|
| 460 |
+
| `айда` | 1.77x | 36 contexts | сайда, дайда, зайда |
|
| 461 |
+
|
| 462 |
+
### 6.4 Affix Compatibility (Co-occurrence)
|
| 463 |
+
|
| 464 |
+
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.
|
| 465 |
+
|
| 466 |
+
| Prefix | Suffix | Frequency | Examples |
|
| 467 |
+
|--------|--------|-----------|----------|
|
| 468 |
+
| `-ба` | `-й` | 38 words | байнхэй, баримталалай |
|
| 469 |
+
| `-ба` | `-ай` | 29 words | баримталалай, баталгаатай |
|
| 470 |
+
| `-ба` | `-н` | 27 words | балжан, байн |
|
| 471 |
+
| `-ба` | `-ан` | 17 words | балжан, барилгашан |
|
| 472 |
+
| `-ба` | `-ые` | 13 words | байрлалые, баримтые |
|
| 473 |
+
| `-ба` | `-ын` | 4 words | байгуулгын, багамын |
|
| 474 |
+
| `-ба` | `-эй` | 1 words | байнхэй |
|
| 475 |
+
|
| 476 |
+
### 6.5 Recursive Morpheme Segmentation
|
| 477 |
+
|
| 478 |
+
Using **Recursive Hierarchical Substitutability**, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., `prefix-prefix-root-suffix`).
|
| 479 |
+
|
| 480 |
+
| Word | Suggested Split | Confidence | Stem |
|
| 481 |
+
|------|-----------------|------------|------|
|
| 482 |
+
| түүхэшэдые | **`түүхэшэд-ые`** | 4.5 | `түүхэшэд` |
|
| 483 |
+
| түшэмэлые | **`түшэмэл-ые`** | 4.5 | `түшэмэл` |
|
| 484 |
+
| дамжуулгануудые | **`дамжуулганууд-ые`** | 4.5 | `дамжуулганууд` |
|
| 485 |
+
| далайшадай | **`далайшад-ай`** | 4.5 | `далайшад` |
|
| 486 |
+
| хубисалай | **`хубисал-ай`** | 4.5 | `хубисал` |
|
| 487 |
+
| ниигэмүүдэй | **`ниигэмүүд-эй`** | 4.5 | `ниигэмүүд` |
|
| 488 |
+
| хэлэгшэдэй | **`хэлэгшэд-эй`** | 4.5 | `хэлэгшэд` |
|
| 489 |
+
| таряашадай | **`таряашад-ай`** | 4.5 | `таряашад` |
|
| 490 |
+
| магадлалай | **`магадлал-ай`** | 4.5 | `магадлал` |
|
| 491 |
+
| тогтоһоные | **`тогтоһон-ые`** | 4.5 | `тогтоһон` |
|
| 492 |
+
| буурсагые | **`буурсаг-ые`** | 4.5 | `буурсаг` |
|
| 493 |
+
| юумэнүүдые | **`юумэнүүд-ые`** | 4.5 | `юумэнүүд` |
|
| 494 |
+
| дашинимаевай | **`дашинимаев-ай`** | 4.5 | `дашинимаев` |
|
| 495 |
+
| найрамдалай | **`найрамдал-ай`** | 4.5 | `найрамдал` |
|
| 496 |
+
| зохёолуудые | **`зохёолууд-ые`** | 4.5 | `зохёолууд` |
|
| 497 |
+
|
| 498 |
+
### 6.6 Linguistic Interpretation
|
| 499 |
+
|
| 500 |
+
> **Automated Insight:**
|
| 501 |
+
The language BXR appears to be more isolating or has a highly fixed vocabulary. Word-level models perform nearly as well as subword models, indicating fewer productive morphological processes.
|
| 502 |
+
|
| 503 |
+
---
|
| 504 |
+
## 7. Summary & Recommendations
|
| 505 |
|
| 506 |

|
| 507 |
|
|
|
|
| 509 |
|
| 510 |
| Component | Recommended | Rationale |
|
| 511 |
|-----------|-------------|-----------|
|
| 512 |
+
| Tokenizer | **64k BPE** | Best compression (4.39x) |
|
| 513 |
+
| N-gram | **2-gram** | Lowest perplexity (452) |
|
| 514 |
+
| Markov | **Context-4** | Highest predictability (98.9%) |
|
| 515 |
| Embeddings | **100d** | Balanced semantic capture and isotropy |
|
| 516 |
|
| 517 |
+
|
| 518 |
---
|
| 519 |
## Appendix: Metrics Glossary & Interpretation Guide
|
| 520 |
|
|
|
|
| 704 |
author = {Kamali, Omar},
|
| 705 |
title = {Wikilangs: Open NLP Models for Wikipedia Languages},
|
| 706 |
year = {2025},
|
| 707 |
+
doi = {10.5281/zenodo.18073153},
|
| 708 |
+
publisher = {Zenodo},
|
| 709 |
url = {https://huggingface.co/wikilangs}
|
| 710 |
institution = {Omneity Labs}
|
| 711 |
}
|
|
|
|
| 721 |
- 🤗 Models: [huggingface.co/wikilangs](https://huggingface.co/wikilangs)
|
| 722 |
- 📊 Data: [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly)
|
| 723 |
- 👤 Author: [Omar Kamali](https://huggingface.co/omarkamali)
|
| 724 |
+
- 🤝 Sponsor: [Featherless AI](https://featherless.ai)
|
| 725 |
---
|
| 726 |
*Generated by Wikilangs Models Pipeline*
|
| 727 |
|
| 728 |
+
*Report Date: 2026-01-03 09:00:32*
|
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models/subword_markov/bxr_markov_ctx3_subword_metadata.json
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