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- README.md +299 -146
- models/embeddings/monolingual/az_128d.bin +2 -2
- models/embeddings/monolingual/az_128d_metadata.json +5 -3
- models/embeddings/monolingual/az_32d.bin +2 -2
- models/embeddings/monolingual/az_32d_metadata.json +5 -3
- models/embeddings/monolingual/az_64d.bin +2 -2
- models/embeddings/monolingual/az_64d_metadata.json +5 -3
- models/subword_markov/az_markov_ctx1_subword.parquet +2 -2
- models/subword_markov/az_markov_ctx1_subword_metadata.json +2 -2
- models/subword_markov/az_markov_ctx2_subword.parquet +2 -2
- models/subword_markov/az_markov_ctx2_subword_metadata.json +2 -2
- models/subword_markov/az_markov_ctx3_subword.parquet +2 -2
- models/subword_markov/az_markov_ctx3_subword_metadata.json +2 -2
- models/subword_markov/az_markov_ctx4_subword.parquet +2 -2
- models/subword_markov/az_markov_ctx4_subword_metadata.json +2 -2
- models/subword_ngram/az_2gram_subword.parquet +2 -2
- models/subword_ngram/az_2gram_subword_metadata.json +2 -2
- models/subword_ngram/az_3gram_subword.parquet +2 -2
- models/subword_ngram/az_3gram_subword_metadata.json +2 -2
- models/subword_ngram/az_4gram_subword.parquet +2 -2
- models/subword_ngram/az_4gram_subword_metadata.json +2 -2
- models/tokenizer/az_tokenizer_16k.model +2 -2
- models/tokenizer/az_tokenizer_16k.vocab +0 -0
- models/tokenizer/az_tokenizer_32k.model +2 -2
- models/tokenizer/az_tokenizer_32k.vocab +0 -0
- models/tokenizer/az_tokenizer_64k.model +2 -2
- models/tokenizer/az_tokenizer_64k.vocab +0 -0
- models/tokenizer/az_tokenizer_8k.model +2 -2
- models/tokenizer/az_tokenizer_8k.vocab +0 -0
- models/vocabulary/az_vocabulary.parquet +2 -2
- models/vocabulary/az_vocabulary_metadata.json +10 -9
- models/word_markov/az_markov_ctx1_word.parquet +2 -2
- models/word_markov/az_markov_ctx1_word_metadata.json +2 -2
- models/word_markov/az_markov_ctx2_word.parquet +2 -2
- models/word_markov/az_markov_ctx2_word_metadata.json +2 -2
- models/word_markov/az_markov_ctx3_word.parquet +2 -2
- models/word_markov/az_markov_ctx3_word_metadata.json +2 -2
- models/word_markov/az_markov_ctx4_word.parquet +2 -2
- models/word_markov/az_markov_ctx4_word_metadata.json +2 -2
- models/word_ngram/az_2gram_word.parquet +2 -2
- models/word_ngram/az_2gram_word_metadata.json +2 -2
- models/word_ngram/az_3gram_word.parquet +2 -2
- models/word_ngram/az_3gram_word_metadata.json +2 -2
- models/word_ngram/az_4gram_word.parquet +2 -2
- models/word_ngram/az_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:
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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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# AZ - 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** | 4.
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| **32k** | 4.
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| **64k** |
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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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Doğumlar
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Vəfatlar
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Soqdian — e.ə. 424–423-cü illərdə hakimiyyət...`
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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| 8k | `▁
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| 16k | `▁
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| 32k | `▁
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| 64k | `▁
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**Sample 2:** `() — aləminin dəstəsinin fəsiləsinin cinsinə aid bitki növü.
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...`
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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| 8k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁
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| 16k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁
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| 32k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁
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| 64k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁
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**Sample 3:** `() — aləminin dəstəsinin fəsiləsinin cinsinə aid bitki növü.
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...`
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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| 64k |
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### Key Findings
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- **Best Compression:** 64k achieves
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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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### 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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### 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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### Generated Text Samples
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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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- **Best Predictability:** Context-4 with
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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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| Vocabulary Size |
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| Total Tokens |
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| Mean Frequency | 72
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| Median Frequency | 4 |
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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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| Metric | Value |
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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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| 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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| 565 |
*Generated by Wikilangs Models Pipeline*
|
| 566 |
|
| 567 |
-
*Report Date:
|
|
|
|
| 23 |
metrics:
|
| 24 |
- name: best_compression_ratio
|
| 25 |
type: compression
|
| 26 |
+
value: 5.127
|
| 27 |
- name: best_isotropy
|
| 28 |
type: isotropy
|
| 29 |
+
value: 0.8147
|
| 30 |
- name: vocabulary_size
|
| 31 |
type: vocab
|
| 32 |
+
value: 0
|
| 33 |
+
generated: 2026-01-03
|
| 34 |
---
|
| 35 |
|
| 36 |
# AZ - 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** | 3.940x | 3.94 | 0.0953% | 1,262,968 |
|
| 84 |
+
| **16k** | 4.420x | 4.42 | 0.1069% | 1,125,834 |
|
| 85 |
+
| **32k** | 4.818x | 4.82 | 0.1165% | 1,032,837 |
|
| 86 |
+
| **64k** | 5.127x 🏆 | 5.13 | 0.1239% | 970,666 |
|
| 87 |
|
| 88 |
### Tokenization Examples
|
| 89 |
|
| 90 |
Below are sample sentences tokenized with each vocabulary size:
|
| 91 |
|
| 92 |
+
**Sample 1:** `Bitlis vilayəti — Osmanlı İmperiyası tərkibində, illərdə mövcud olmuş I dərəcəli...`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 93 |
|
| 94 |
| Vocab | Tokens | Count |
|
| 95 |
|-------|--------|-------|
|
| 96 |
+
| 8k | `▁bit lis ▁vilayəti ▁— ▁osmanlı ▁İmper iyası ▁tərkibində , ▁illərdə ... (+17 more)` | 27 |
|
| 97 |
+
| 16k | `▁bit lis ▁vilayəti ▁— ▁osmanlı ▁İmperiyası ▁tərkibində , ▁illərdə ▁mövcud ... (+16 more)` | 26 |
|
| 98 |
+
| 32k | `▁bit lis ▁vilayəti ▁— ▁osmanlı ▁İmperiyası ▁tərkibində , ▁illərdə ▁mövcud ... (+16 more)` | 26 |
|
| 99 |
+
| 64k | `▁bitlis ▁vilayəti ▁— ▁osmanlı ▁İmperiyası ▁tərkibində , ▁illərdə ▁mövcud ▁olmuş ... (+14 more)` | 24 |
|
|
|
|
|
|
|
| 100 |
|
| 101 |
+
**Sample 2:** `() — aləminin dəstəsinin fəsiləsinə aid bitki cinsi. Sinonimləri Heterotipik sin...`
|
|
|
|
|
|
|
| 102 |
|
| 103 |
| Vocab | Tokens | Count |
|
| 104 |
|-------|--------|-------|
|
| 105 |
+
| 8k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁fəsiləsinə ▁aid ▁bitki ▁cinsi . ▁sinonimləri ... (+6 more)` | 16 |
|
| 106 |
+
| 16k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁fəsiləsinə ▁aid ▁bitki ▁cinsi . ▁sinonimləri ... (+6 more)` | 16 |
|
| 107 |
+
| 32k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁fəsiləsinə ▁aid ▁bitki ▁cinsi . ��sinonimləri ... (+6 more)` | 16 |
|
| 108 |
+
| 64k | `▁() ▁— ▁aləminin ▁dəstəsinin ▁fəsiləsinə ▁aid ▁bitki ▁cinsi . ▁sinonimləri ... (+6 more)` | 16 |
|
|
|
|
|
|
|
| 109 |
|
| 110 |
+
**Sample 3:** `Üçüncü simfoniya (film, Üçüncü simfoniya (Motsart) Üçüncü simfoniya (Çaykovski) ...`
|
|
|
|
|
|
|
| 111 |
|
| 112 |
| Vocab | Tokens | Count |
|
| 113 |
|-------|--------|-------|
|
| 114 |
+
| 8k | `▁üçüncü ▁simf oniya ▁( film , ▁üçüncü ▁simf oniya ▁( ... (+21 more)` | 31 |
|
| 115 |
+
| 16k | `▁üçüncü ▁simf oniya ▁( film , ▁üçüncü ▁simf oniya ▁( ... (+17 more)` | 27 |
|
| 116 |
+
| 32k | `▁üçüncü ▁simfoniya ▁( film , ▁üçüncü ▁simfoniya ▁( mot sart ... (+13 more)` | 23 |
|
| 117 |
+
| 64k | `▁üçüncü ▁simfoniya ▁( film , ▁üçüncü ▁simfoniya ▁( mot sart ... (+13 more)` | 23 |
|
| 118 |
|
| 119 |
|
| 120 |
### Key Findings
|
| 121 |
|
| 122 |
+
- **Best Compression:** 64k achieves 5.127x compression
|
| 123 |
+
- **Lowest UNK Rate:** 8k with 0.0953% 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 | 266,647 | 18.02 | 1,217,523 | 4.8% | 13.7% |
|
| 141 |
+
| **2-gram** | Subword | 405 🏆 | 8.66 | 18,177 | 58.1% | 97.7% |
|
| 142 |
+
| **3-gram** | Word | 580,086 | 19.15 | 1,735,864 | 4.1% | 9.8% |
|
| 143 |
+
| **3-gram** | Subword | 3,752 | 11.87 | 159,097 | 20.7% | 61.1% |
|
| 144 |
+
| **4-gram** | Word | 1,224,902 | 20.22 | 3,019,123 | 3.9% | 8.4% |
|
| 145 |
+
| **4-gram** | Subword | 21,204 | 14.37 | 964,243 | 10.3% | 32.7% |
|
| 146 |
|
| 147 |
### Top 5 N-grams by Size
|
| 148 |
|
| 149 |
+
**2-grams (Word):**
|
| 150 |
+
|
| 151 |
+
| Rank | N-gram | Count |
|
| 152 |
+
|------|--------|-------|
|
| 153 |
+
| 1 | `və ya` | 82,539 |
|
| 154 |
+
| 2 | `xarici keçidlər` | 64,635 |
|
| 155 |
+
| 3 | `həmçinin bax` | 61,223 |
|
| 156 |
+
| 4 | `i̇stinadlar xarici` | 45,022 |
|
| 157 |
+
| 5 | `i̇stinadlar həmçinin` | 30,535 |
|
| 158 |
+
|
| 159 |
+
**3-grams (Word):**
|
| 160 |
|
| 161 |
| Rank | N-gram | Count |
|
| 162 |
|------|--------|-------|
|
| 163 |
+
| 1 | `i̇stinadlar xarici keçidlər` | 44,533 |
|
| 164 |
+
| 2 | `i̇stinadlar həmçinin bax` | 30,508 |
|
| 165 |
+
| 3 | `fəsiləsinin cinsinə aid` | 20,829 |
|
| 166 |
+
| 4 | `dəstəsinin fəsiləsinin cinsinə` | 18,108 |
|
| 167 |
+
| 5 | `aid bitki növü` | 17,478 |
|
| 168 |
|
| 169 |
+
**4-grams (Word):**
|
| 170 |
|
| 171 |
| Rank | N-gram | Count |
|
| 172 |
|------|--------|-------|
|
| 173 |
+
| 1 | `dəstəsinin fəsiləsinin cinsinə aid` | 18,108 |
|
| 174 |
+
| 2 | `cinsinə aid bitki növü` | 17,459 |
|
| 175 |
+
| 3 | `fəsiləsinin cinsinə aid bitki` | 17,424 |
|
| 176 |
+
| 4 | `aləminin dəstəsinin fəsiləsinin cinsinə` | 14,444 |
|
| 177 |
+
| 5 | `növü i̇stinadlar həmçinin bax` | 10,412 |
|
| 178 |
|
| 179 |
+
**2-grams (Subword):**
|
| 180 |
|
| 181 |
| Rank | N-gram | Count |
|
| 182 |
|------|--------|-------|
|
| 183 |
+
| 1 | `n _` | 7,988,809 |
|
| 184 |
+
| 2 | `ə _` | 6,442,941 |
|
| 185 |
+
| 3 | `i n` | 6,166,226 |
|
| 186 |
+
| 4 | `a r` | 5,329,650 |
|
| 187 |
+
| 5 | `ə r` | 5,265,570 |
|
| 188 |
+
|
| 189 |
+
**3-grams (Subword):**
|
| 190 |
+
|
| 191 |
+
| Rank | N-gram | Count |
|
| 192 |
+
|------|--------|-------|
|
| 193 |
+
| 1 | `l ə r` | 2,404,591 |
|
| 194 |
+
| 2 | `l a r` | 2,255,189 |
|
| 195 |
+
| 3 | `d ə _` | 2,141,762 |
|
| 196 |
+
| 4 | `i n _` | 2,027,629 |
|
| 197 |
+
| 5 | `a n _` | 1,821,260 |
|
| 198 |
+
|
| 199 |
+
**4-grams (Subword):**
|
| 200 |
+
|
| 201 |
+
| Rank | N-gram | Count |
|
| 202 |
+
|------|--------|-------|
|
| 203 |
+
| 1 | `_ v ə _` | 1,462,860 |
|
| 204 |
+
| 2 | `l ə r i` | 1,237,145 |
|
| 205 |
+
| 3 | `l a r ı` | 1,052,371 |
|
| 206 |
+
| 4 | `i n d ə` | 1,049,474 |
|
| 207 |
+
| 5 | `n i n _` | 951,332 |
|
| 208 |
|
| 209 |
|
| 210 |
### Key Findings
|
| 211 |
|
| 212 |
+
- **Best Perplexity:** 2-gram (subword) with 405
|
| 213 |
- **Entropy Trend:** Decreases with larger n-grams (more predictable)
|
| 214 |
+
- **Coverage:** Top-1000 patterns cover ~33% 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 | 0.9394 | 1.918 | 11.41 | 1,714,220 | 6.1% |
|
| 231 |
+
| **1** | Subword | 1.1697 | 2.250 | 8.00 | 8,084 | 0.0% |
|
| 232 |
+
| **2** | Word | 0.3187 | 1.247 | 1.95 | 19,534,498 | 68.1% |
|
| 233 |
+
| **2** | Subword | 0.7478 | 1.679 | 5.29 | 64,659 | 25.2% |
|
| 234 |
+
| **3** | Word | 0.1043 | 1.075 | 1.20 | 37,988,863 | 89.6% |
|
| 235 |
+
| **3** | Subword | 0.8132 | 1.757 | 4.77 | 341,910 | 18.7% |
|
| 236 |
+
| **4** | Word | 0.0351 🏆 | 1.025 | 1.05 | 45,491,212 | 96.5% |
|
| 237 |
+
| **4** | Subword | 0.7291 | 1.658 | 3.64 | 1,630,545 | 27.1% |
|
| 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. `və digər qarağac küçəsində yerləşən bike travel channel saytında volodya rubinin hekayəsinin sadələş...`
|
| 246 |
+
2. `ildə göyçə kanalı 2 4 kimi qəbul və ya radiodalğaların ortaya çıxmışdı fransız şərqşünas vital bakım`
|
| 247 |
+
3. `ilə rəqabət üstünlükləri üçün ilham alınmışdır yava nın rəhbəri aqrar sahədə süni tıxacı qanunu pozm...`
|
| 248 |
+
|
| 249 |
+
**Context Size 2:**
|
| 250 |
+
|
| 251 |
+
1. `və ya onun mənzilinin nə qədər qorxunc idilər həmin gün masovkada iştirak etməyi özləri üçün nisbətə...`
|
| 252 |
+
2. `xarici keçidlər hissi`
|
| 253 |
+
3. `i̇stinadlar xarici keçidlər romario sambafoot com romario siyasətə qatıldı futbolçuları fk oyunçular...`
|
| 254 |
+
|
| 255 |
+
**Context Size 3:**
|
| 256 |
+
|
| 257 |
+
1. `i̇stinadlar xarici keçidlər середа с а перспективы охраны авторских и смежных прав в условиях распро...`
|
| 258 |
+
2. `fəsiləsinin cinsinə aid heyvan növü i̇stinadlar həmçinin bax aprel işğalı əlavə ədəbiyyat sovet sosi...`
|
| 259 |
+
3. `dəstəsinin fəsiləsinin cinsinə aid bitki növü i̇stinadlar həmçinin bax koreyanın xüsusi şəhərləri i̇...`
|
| 260 |
+
|
| 261 |
+
**Context Size 4:**
|
| 262 |
+
|
| 263 |
+
1. `dəstəsinin fəsiləsinin cinsinə aid heyvan növü i̇stinadlar həmçinin bax ildə təsvir edilən bitkilər ...`
|
| 264 |
+
2. `cinsinə aid bitki növü i̇stinadlar həmçinin bax ildə təsvir edilən bitkilər linney tərəfindən adland...`
|
| 265 |
+
3. `fəsiləsinin cinsinə aid bitki növü ulvanın tallomu lövhəşəkilli parlaq yaşıl rəngli olub kənarları b...`
|
| 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. `_dalmuny_isuməla`
|
| 275 |
+
2. `allədi,_ilqəbulə`
|
| 276 |
+
3. `i_1._sın_lirpriy`
|
| 277 |
|
| 278 |
**Context Size 2:**
|
| 279 |
|
| 280 |
+
1. `n_ya_tabı_vəfalar`
|
| 281 |
+
2. `ə_birilarabaxi:_а`
|
| 282 |
+
3. `inəşdira_meyvali_`
|
| 283 |
|
| 284 |
**Context Size 3:**
|
| 285 |
|
| 286 |
+
1. `ləri_və_şimalınmas`
|
| 287 |
+
2. `ları_ekspilm)_+рас`
|
| 288 |
+
3. `də_onlar,_ərbi_tağ`
|
| 289 |
|
| 290 |
**Context Size 4:**
|
| 291 |
|
| 292 |
+
1. `_və_kəndləri_kimi_f`
|
| 293 |
+
2. `ləri,_ildə_etdirir.`
|
| 294 |
+
3. `ində_aztv_“günorta_`
|
| 295 |
|
| 296 |
|
| 297 |
### Key Findings
|
| 298 |
|
| 299 |
+
- **Best Predictability:** Context-4 (word) with 96.5% predictability
|
| 300 |
- **Branching Factor:** Decreases with context size (more deterministic)
|
| 301 |
+
- **Memory Trade-off:** Larger contexts require more storage (1,630,545 contexts)
|
| 302 |
- **Recommendation:** Context-3 or Context-4 for text generation
|
| 303 |
|
| 304 |
---
|
|
|
|
| 314 |
|
| 315 |
| Metric | Value |
|
| 316 |
|--------|-------|
|
| 317 |
+
| Vocabulary Size | 753,394 |
|
| 318 |
+
| Total Tokens | 53,281,406 |
|
| 319 |
+
| Mean Frequency | 70.72 |
|
| 320 |
| Median Frequency | 4 |
|
| 321 |
+
| Frequency Std Dev | 2273.78 |
|
| 322 |
|
| 323 |
### Most Common Words
|
| 324 |
|
| 325 |
| Rank | Word | Frequency |
|
| 326 |
|------|------|-----------|
|
| 327 |
+
| 1 | və | 1,467,833 |
|
| 328 |
+
| 2 | ildə | 410,483 |
|
| 329 |
+
| 3 | ilə | 408,441 |
|
| 330 |
+
| 4 | bir | 361,923 |
|
| 331 |
+
| 5 | bu | 355,796 |
|
| 332 |
+
| 6 | də | 228,505 |
|
| 333 |
+
| 7 | azərbaycan | 220,507 |
|
| 334 |
+
| 8 | üçün | 219,884 |
|
| 335 |
+
| 9 | olan | 219,730 |
|
| 336 |
+
| 10 | sonra | 179,588 |
|
| 337 |
|
| 338 |
### Least Common Words (from vocabulary)
|
| 339 |
|
| 340 |
| Rank | Word | Frequency |
|
| 341 |
|------|------|-----------|
|
| 342 |
+
| 1 | i̇netimi | 2 |
|
| 343 |
+
| 2 | timayanın | 2 |
|
| 344 |
+
| 3 | llnp | 2 |
|
| 345 |
+
| 4 | moqrovexonun | 2 |
|
| 346 |
+
| 5 | məhkəməsiazərbaycan | 2 |
|
| 347 |
+
| 6 | nəbiqə | 2 |
|
| 348 |
+
| 7 | zübyani | 2 |
|
| 349 |
+
| 8 | əşanı | 2 |
|
| 350 |
+
| 9 | tülücü | 2 |
|
| 351 |
+
| 10 | yenidoğulanlar | 2 |
|
| 352 |
|
| 353 |
### Zipf's Law Analysis
|
| 354 |
|
| 355 |
| Metric | Value |
|
| 356 |
|--------|-------|
|
| 357 |
+
| Zipf Coefficient | 0.9645 |
|
| 358 |
+
| R² (Goodness of Fit) | 0.992332 |
|
| 359 |
| Adherence Quality | **excellent** |
|
| 360 |
|
| 361 |
### Coverage Analysis
|
| 362 |
|
| 363 |
| Top N Words | Coverage |
|
| 364 |
|-------------|----------|
|
| 365 |
+
| Top 100 | 20.7% |
|
| 366 |
+
| Top 1,000 | 45.3% |
|
| 367 |
+
| Top 5,000 | 65.4% |
|
| 368 |
+
| Top 10,000 | 73.7% |
|
| 369 |
|
| 370 |
### Key Findings
|
| 371 |
|
| 372 |
+
- **Zipf Compliance:** R²=0.9923 indicates excellent adherence to Zipf's law
|
| 373 |
+
- **High Frequency Dominance:** Top 100 words cover 20.7% of corpus
|
| 374 |
+
- **Long Tail:** 743,394 words needed for remaining 26.3% 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 | 0.8147 🏆 | 0.3523 | N/A | N/A |
|
| 398 |
+
| **mono_64d** | 64 | 0.8067 | 0.2814 | N/A | N/A |
|
| 399 |
+
| **mono_128d** | 128 | 0.7697 | 0.2228 | N/A | N/A |
|
| 400 |
|
| 401 |
### Key Findings
|
| 402 |
|
| 403 |
+
- **Best Isotropy:** mono_32d with 0.8147 (more uniform distribution)
|
| 404 |
+
- **Semantic Density:** Average pairwise similarity of 0.2855. 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 |
+
|
| 430 |
+
#### Productive Suffixes
|
| 431 |
+
| Suffix | Examples |
|
| 432 |
+
|--------|----------|
|
| 433 |
+
| `-n` | qanqlionlarından, kreyin, i̇radənin |
|
| 434 |
+
| `-a` | aoyama, puraka, şahhüseynova |
|
| 435 |
+
| `-in` | kreyin, i̇radənin, naimin |
|
| 436 |
+
| `-an` | qanqlionlarından, saldıran, məmulatdan |
|
| 437 |
+
| `-ın` | hanedanının, quldurlarının, çarımın |
|
| 438 |
+
| `-dan` | qanqlionlarından, məmulatdan, yazıçılarından |
|
| 439 |
+
| `-ən` | sevgiən, kombateldən, filmdəkindən |
|
| 440 |
+
| `-nın` | hanedanının, quldurlarının, medyanın |
|
| 441 |
+
|
| 442 |
+
### 6.3 Bound Stems (Lexical Roots)
|
| 443 |
+
|
| 444 |
+
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.
|
| 445 |
+
|
| 446 |
+
| Stem | Cohesion | Substitutability | Examples |
|
| 447 |
+
|------|----------|------------------|----------|
|
| 448 |
+
| `ərba` | 2.77x | 42 contexts | ərbaş, bərba, ərbab |
|
| 449 |
+
| `ayca` | 2.92x | 24 contexts | cayca, aycan, sayca |
|
| 450 |
+
| `rbay` | 2.33x | 54 contexts | erbay, arbay, orbay |
|
| 451 |
+
| `arix` | 2.02x | 69 contexts | tarix, farix, larix |
|
| 452 |
+
| `nlar` | 1.37x | 429 contexts | anlar, onlar, nları |
|
| 453 |
+
| `irlə` | 1.36x | 390 contexts | pirlə, birlə, virlə |
|
| 454 |
+
| `mişd` | 1.58x | 164 contexts | mişdi, emişdi, mişdir |
|
| 455 |
+
| `mışd` | 1.62x | 142 contexts | mışdı, mışdır, aşmışdı |
|
| 456 |
+
| `rləş` | 1.82x | 76 contexts | yerləş, birləş, yrləşən |
|
| 457 |
+
| `ycan` | 2.87x | 13 contexts | aycan, beycan, bəycan |
|
| 458 |
+
| `ərəf` | 1.65x | 87 contexts | ərəfə, tərəf, şərəf |
|
| 459 |
+
| `qlar` | 1.38x | 199 contexts | aqlar, qlarn, doqlar |
|
| 460 |
+
|
| 461 |
+
### 6.4 Affix Compatibility (Co-occurrence)
|
| 462 |
+
|
| 463 |
+
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.
|
| 464 |
+
|
| 465 |
+
*No significant affix co-occurrences detected.*
|
| 466 |
+
|
| 467 |
+
|
| 468 |
+
### 6.5 Recursive Morpheme Segmentation
|
| 469 |
+
|
| 470 |
+
Using **Recursive Hierarchical Substitutability**, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., `prefix-prefix-root-suffix`).
|
| 471 |
+
|
| 472 |
+
| Word | Suggested Split | Confidence | Stem |
|
| 473 |
+
|------|-----------------|------------|------|
|
| 474 |
+
| şəyirdlərindən | **`şəyirdlər-in-dən`** | 6.0 | `şəyirdlər` |
|
| 475 |
+
| yeməklərindən | **`yeməklər-in-dən`** | 6.0 | `yeməklər` |
|
| 476 |
+
| qalxandan | **`qalx-an-dan`** | 6.0 | `qalx` |
|
| 477 |
+
| kitabından | **`kitab-ın-dan`** | 6.0 | `kitab` |
|
| 478 |
+
| açarından | **`açar-ın-dan`** | 6.0 | `açar` |
|
| 479 |
+
| patriarxından | **`patriarx-ın-dan`** | 6.0 | `patriarx` |
|
| 480 |
+
| gətirəndən | **`gətir-ən-dən`** | 6.0 | `gətir` |
|
| 481 |
+
| qadağadan | **`qadağa-dan`** | 4.5 | `qadağa` |
|
| 482 |
+
| ştirlisin | **`ştirlis-in`** | 4.5 | `ştirlis` |
|
| 483 |
+
| fikirlərinin | **`fikirləri-nin`** | 4.5 | `fikirləri` |
|
| 484 |
+
| təyyarəsinin | **`təyyarəsi-nin`** | 4.5 | `təyyarəsi` |
|
| 485 |
+
| frenkinin | **`frenki-nin`** | 4.5 | `frenki` |
|
| 486 |
+
| məzmundan | **`məzmun-dan`** | 4.5 | `məzmun` |
|
| 487 |
+
| aerodinamikanın | **`aerodinamika-nın`** | 4.5 | `aerodinamika` |
|
| 488 |
+
| intonasiyalardan | **`intonasiyalar-dan`** | 4.5 | `intonasiyalar` |
|
| 489 |
+
|
| 490 |
+
### 6.6 Linguistic Interpretation
|
| 491 |
+
|
| 492 |
+
> **Automated Insight:**
|
| 493 |
+
The language AZ 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.
|
| 494 |
+
|
| 495 |
+
---
|
| 496 |
+
## 7. Summary & Recommendations
|
| 497 |
|
| 498 |

|
| 499 |
|
|
|
|
| 501 |
|
| 502 |
| Component | Recommended | Rationale |
|
| 503 |
|-----------|-------------|-----------|
|
| 504 |
+
| Tokenizer | **64k BPE** | Best compression (5.13x) |
|
| 505 |
+
| N-gram | **2-gram** | Lowest perplexity (405) |
|
| 506 |
+
| Markov | **Context-4** | Highest predictability (96.5%) |
|
| 507 |
| Embeddings | **100d** | Balanced semantic capture and isotropy |
|
| 508 |
|
| 509 |
+
|
| 510 |
---
|
| 511 |
## Appendix: Metrics Glossary & Interpretation Guide
|
| 512 |
|
|
|
|
| 696 |
author = {Kamali, Omar},
|
| 697 |
title = {Wikilangs: Open NLP Models for Wikipedia Languages},
|
| 698 |
year = {2025},
|
| 699 |
+
doi = {10.5281/zenodo.18073153},
|
| 700 |
+
publisher = {Zenodo},
|
| 701 |
url = {https://huggingface.co/wikilangs}
|
| 702 |
institution = {Omneity Labs}
|
| 703 |
}
|
|
|
|
| 713 |
- 🤗 Models: [huggingface.co/wikilangs](https://huggingface.co/wikilangs)
|
| 714 |
- 📊 Data: [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly)
|
| 715 |
- 👤 Author: [Omar Kamali](https://huggingface.co/omarkamali)
|
| 716 |
+
- 🤝 Sponsor: [Featherless AI](https://featherless.ai)
|
| 717 |
---
|
| 718 |
*Generated by Wikilangs Models Pipeline*
|
| 719 |
|
| 720 |
+
*Report Date: 2026-01-03 09:50:56*
|
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