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- README.md +306 -135
- models/embeddings/monolingual/cu_128d.bin +2 -2
- models/embeddings/monolingual/cu_128d_metadata.json +5 -3
- models/embeddings/monolingual/cu_32d.bin +2 -2
- models/embeddings/monolingual/cu_32d_metadata.json +5 -3
- models/embeddings/monolingual/cu_64d.bin +2 -2
- models/embeddings/monolingual/cu_64d_metadata.json +5 -3
- models/subword_markov/cu_markov_ctx1_subword.parquet +2 -2
- models/subword_markov/cu_markov_ctx1_subword_metadata.json +2 -2
- models/subword_markov/cu_markov_ctx2_subword.parquet +2 -2
- models/subword_markov/cu_markov_ctx2_subword_metadata.json +2 -2
- models/subword_markov/cu_markov_ctx3_subword.parquet +2 -2
- models/subword_markov/cu_markov_ctx3_subword_metadata.json +2 -2
- models/subword_markov/cu_markov_ctx4_subword.parquet +2 -2
- models/subword_markov/cu_markov_ctx4_subword_metadata.json +2 -2
- models/subword_ngram/cu_2gram_subword.parquet +2 -2
- models/subword_ngram/cu_2gram_subword_metadata.json +2 -2
- models/subword_ngram/cu_3gram_subword.parquet +2 -2
- models/subword_ngram/cu_3gram_subword_metadata.json +2 -2
- models/subword_ngram/cu_4gram_subword.parquet +2 -2
- models/subword_ngram/cu_4gram_subword_metadata.json +2 -2
- models/tokenizer/cu_tokenizer_16k.model +2 -2
- models/tokenizer/cu_tokenizer_16k.vocab +0 -0
- models/tokenizer/cu_tokenizer_32k.model +2 -2
- models/tokenizer/cu_tokenizer_32k.vocab +0 -0
- models/tokenizer/cu_tokenizer_8k.model +2 -2
- models/tokenizer/cu_tokenizer_8k.vocab +0 -0
- models/vocabulary/cu_vocabulary.parquet +2 -2
- models/vocabulary/cu_vocabulary_metadata.json +10 -9
- models/word_markov/cu_markov_ctx1_word.parquet +2 -2
- models/word_markov/cu_markov_ctx1_word_metadata.json +2 -2
- models/word_markov/cu_markov_ctx2_word.parquet +2 -2
- models/word_markov/cu_markov_ctx2_word_metadata.json +2 -2
- models/word_markov/cu_markov_ctx3_word.parquet +2 -2
- models/word_markov/cu_markov_ctx3_word_metadata.json +2 -2
- models/word_markov/cu_markov_ctx4_word.parquet +2 -2
- models/word_markov/cu_markov_ctx4_word_metadata.json +2 -2
- models/word_ngram/cu_2gram_word.parquet +2 -2
- models/word_ngram/cu_2gram_word_metadata.json +2 -2
- models/word_ngram/cu_3gram_word.parquet +2 -2
- models/word_ngram/cu_3gram_word_metadata.json +2 -2
- models/word_ngram/cu_4gram_word.parquet +2 -2
- models/word_ngram/cu_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
- visualizations/markov_entropy.png +0 -0
- visualizations/model_sizes.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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# CU - 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** |
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| **32k** | 4.
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| **64k** | 4.593x 🏆 | 4.49 | 0.1789% | 105,095 |
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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:** `thumb
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Ꙙ (имѧ ꙁатворѥнъ малъ юсъ или ѥнь) словѣньскаѥго ѩꙁꙑка боукꙑ ѥстъ
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Катигор...`
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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| 8k | `▁thumb ▁
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| 16k | `▁thumb ▁
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| 32k | `▁thumb
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| 64k | `▁thumb ▁ꙙ ▁( имѧ ▁ꙁатворѥнъ ▁малъ ▁юсъ ▁или ▁ѥнь ) ... (+14 more)` | 24 |
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**Sample 2:**
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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| 64k | `▁илїѥ ▁и ▁· ▁ꙁнакъ ▁he ▁· ▁аєрїо ▁ѥстъ ▁⁙ ▁ѥгожє ... (+23 more)` | 33 |
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**Sample 3:**
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| Vocab | Tokens | Count |
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|-------|--------|-------|
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| 8k |
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| 32k |
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| 64k | `▁ха́сково ▁() ▁блъгарі́ѩ ▁ха́сковьскꙑ ▁области ▁гла́вьнъ ▁гра́дъ ▁ѥ́стъ . ▁люди́и ... (+8 more)` | 18 |
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### Key Findings
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- **Best Compression:**
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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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| 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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### Generated Text Samples
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Below are text samples generated from each Markov chain model:
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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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|--------|-------|
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| Vocabulary Size | 6,
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| Total Tokens |
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| Mean Frequency |
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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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|------|------|-----------|
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### Least Common Words (from vocabulary)
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| Rank | Word | Frequency |
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### Zipf's Law Analysis
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| Metric | Value |
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| Zipf Coefficient | 0.
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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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|-------------|----------|
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| Top 10,000 | 0.0% |
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### Key Findings
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- **Zipf Compliance:** R²=0.
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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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---
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## 6.
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| Component | Recommended | Rationale |
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|-----------|-------------|-----------|
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| Tokenizer | **32k BPE** | Best compression (4.
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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)
|
| 552 |
- 📊 Data: [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly)
|
| 553 |
- 👤 Author: [Omar Kamali](https://huggingface.co/omarkamali)
|
|
|
|
| 554 |
---
|
| 555 |
*Generated by Wikilangs Models Pipeline*
|
| 556 |
|
| 557 |
-
*Report Date:
|
|
|
|
| 23 |
metrics:
|
| 24 |
- name: best_compression_ratio
|
| 25 |
type: compression
|
| 26 |
+
value: 4.945
|
| 27 |
- name: best_isotropy
|
| 28 |
type: isotropy
|
| 29 |
+
value: 0.2996
|
| 30 |
- name: vocabulary_size
|
| 31 |
type: vocab
|
| 32 |
+
value: 0
|
| 33 |
+
generated: 2026-01-03
|
| 34 |
---
|
| 35 |
|
| 36 |
# CU - 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 |
|
|
|
|
| 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** | 3.879x | 3.88 | 0.1306% | 107,930 |
|
| 84 |
+
| **16k** | 4.369x | 4.37 | 0.1472% | 95,813 |
|
| 85 |
+
| **32k** | 4.945x 🏆 | 4.95 | 0.1666% | 84,659 |
|
|
|
|
| 86 |
|
| 87 |
### Tokenization Examples
|
| 88 |
|
| 89 |
Below are sample sentences tokenized with each vocabulary size:
|
| 90 |
|
| 91 |
+
**Sample 1:** `thumb Ꚛ (имѧ Ꙋкрестъ) словѣньскаѥго ѩꙁꙑка боукꙑ ѥстъ. ѩꙁꙑка боукъви`
|
|
|
|
|
|
|
|
|
|
| 92 |
|
| 93 |
| Vocab | Tokens | Count |
|
| 94 |
|-------|--------|-------|
|
| 95 |
+
| 8k | `▁thumb ▁ ꚛ ▁( имѧ ▁ꙋ к ре стъ ) ... (+7 more)` | 17 |
|
| 96 |
+
| 16k | `▁thumb ▁ ꚛ ▁( имѧ ▁ꙋ кре стъ ) ▁словѣньскаѥго ... (+6 more)` | 16 |
|
| 97 |
+
| 32k | `▁thumb ▁ ꚛ ▁( имѧ ▁ꙋкрестъ ) ▁словѣньскаѥго ▁ѩꙁꙑка ▁боукꙑ ... (+4 more)` | 14 |
|
|
|
|
| 98 |
|
| 99 |
+
**Sample 2:** `Могилєвъ и · · градъ Бѣлꙑ Роуси ѥстъ ⁙ Людии обитаѥтъ 371 318 ⁙ Помѣновєнъ жє ꙁа...`
|
| 100 |
|
| 101 |
| Vocab | Tokens | Count |
|
| 102 |
|-------|--------|-------|
|
| 103 |
+
| 8k | `▁могилєвъ ▁и ▁· ▁· ▁градъ ▁бѣлꙑ ▁роуси ▁ѥстъ ▁⁙ ▁людии ... (+31 more)` | 41 |
|
| 104 |
+
| 16k | `▁могилєвъ ▁и ▁· ▁· ▁градъ ▁бѣлꙑ ▁роуси ▁ѥстъ ▁⁙ ▁людии ... (+28 more)` | 38 |
|
| 105 |
+
| 32k | `▁могилєвъ ▁и ▁· ▁· ▁градъ ▁бѣлꙑ ▁роуси ▁ѥстъ ▁⁙ ▁людии ... (+27 more)` | 37 |
|
|
|
|
| 106 |
|
| 107 |
+
**Sample 3:** `thumb Ѱ (имѧ ыпсьлон) словѣньскаѥго ѩꙁꙑка боукꙑ ѥстъ ѩꙁꙑка боукъви аꙁъбоукꙑ боук...`
|
| 108 |
|
| 109 |
| Vocab | Tokens | Count |
|
| 110 |
|-------|--------|-------|
|
| 111 |
+
| 8k | `▁thumb ▁ѱ ▁( имѧ ▁ы п сь лон ) ▁словѣньскаѥго ... (+7 more)` | 17 |
|
| 112 |
+
| 16k | `▁thumb ▁ѱ ▁( имѧ ▁ы п сь лон ) ▁словѣньскаѥго ... (+7 more)` | 17 |
|
| 113 |
+
| 32k | `▁thumb ▁ѱ ▁( имѧ ▁ыпсьлон ) ▁словѣньскаѥго ▁ѩꙁꙑка ▁боукꙑ ▁ѥстъ ... (+4 more)` | 14 |
|
|
|
|
| 114 |
|
| 115 |
|
| 116 |
### Key Findings
|
| 117 |
|
| 118 |
+
- **Best Compression:** 32k achieves 4.945x compression
|
| 119 |
+
- **Lowest UNK Rate:** 8k with 0.1306% unknown tokens
|
| 120 |
- **Trade-off:** Larger vocabularies improve compression but increase model size
|
| 121 |
- **Recommendation:** 32k vocabulary provides optimal balance for production use
|
| 122 |
|
|
|
|
| 125 |
|
| 126 |

|
| 127 |
|
| 128 |
+

|
| 129 |
+
|
| 130 |

|
| 131 |
|
| 132 |
### Results
|
| 133 |
|
| 134 |
+
| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
|
| 135 |
+
|--------|---------|------------|---------|----------------|------------------|-------------------|
|
| 136 |
+
| **2-gram** | Word | 803 | 9.65 | 1,418 | 38.7% | 88.8% |
|
| 137 |
+
| **2-gram** | Subword | 451 🏆 | 8.82 | 2,626 | 56.3% | 95.5% |
|
| 138 |
+
| **3-gram** | Word | 974 | 9.93 | 1,743 | 35.2% | 82.0% |
|
| 139 |
+
| **3-gram** | Subword | 2,632 | 11.36 | 12,321 | 25.6% | 67.4% |
|
| 140 |
+
| **4-gram** | Word | 1,602 | 10.65 | 2,970 | 29.2% | 66.7% |
|
| 141 |
+
| **4-gram** | Subword | 8,242 | 13.01 | 33,307 | 16.1% | 45.2% |
|
| 142 |
|
| 143 |
### Top 5 N-grams by Size
|
| 144 |
|
| 145 |
+
**2-grams (Word):**
|
| 146 |
|
| 147 |
| Rank | N-gram | Count |
|
| 148 |
|------|--------|-------|
|
| 149 |
+
| 1 | `ꙁьри такождє` | 429 |
|
| 150 |
+
| 2 | `людии обитаѥтъ` | 260 |
|
| 151 |
+
| 3 | `ѥстъ людии` | 234 |
|
| 152 |
+
| 4 | `градъ ѥстъ` | 230 |
|
| 153 |
+
| 5 | `стольнъ градъ` | 186 |
|
| 154 |
|
| 155 |
+
**3-grams (Word):**
|
| 156 |
|
| 157 |
| Rank | N-gram | Count |
|
| 158 |
|------|--------|-------|
|
| 159 |
+
| 1 | `ѥстъ людии обитаѥтъ` | 181 |
|
| 160 |
+
| 2 | `въ дрьжавѣ бѣла` | 120 |
|
| 161 |
+
| 3 | `дрьжавѣ бѣла роусь` | 120 |
|
| 162 |
+
| 4 | `градъ ѥстъ людии` | 115 |
|
| 163 |
+
| 5 | `роусь сѣи оудѣлъ` | 114 |
|
| 164 |
|
| 165 |
+
**4-grams (Word):**
|
| 166 |
|
| 167 |
| Rank | N-gram | Count |
|
| 168 |
|------|--------|-------|
|
| 169 |
+
| 1 | `въ дрьжавѣ бѣла роусь` | 120 |
|
| 170 |
+
| 2 | `ꙁємьскъ оудѣлъ въ дрьжавѣ` | 114 |
|
| 171 |
+
| 3 | `оудѣлъ въ дрьжавѣ бѣла` | 114 |
|
| 172 |
+
| 4 | `дрьжавѣ бѣла роусь сѣи` | 114 |
|
| 173 |
+
| 5 | `ѥстъ ꙁємьскъ оудѣлъ въ` | 114 |
|
| 174 |
+
|
| 175 |
+
**2-grams (Subword):**
|
| 176 |
+
|
| 177 |
+
| Rank | N-gram | Count |
|
| 178 |
+
|------|--------|-------|
|
| 179 |
+
| 1 | `ъ _` | 17,731 |
|
| 180 |
+
| 2 | `и _` | 9,203 |
|
| 181 |
+
| 3 | `а _` | 8,612 |
|
| 182 |
+
| 4 | `с т` | 8,393 |
|
| 183 |
+
| 5 | `_ с` | 6,604 |
|
| 184 |
+
|
| 185 |
+
**3-grams (Subword):**
|
| 186 |
+
|
| 187 |
+
| Rank | N-gram | Count |
|
| 188 |
+
|------|--------|-------|
|
| 189 |
+
| 1 | `т ъ _` | 5,941 |
|
| 190 |
+
| 2 | `_ · _` | 4,423 |
|
| 191 |
+
| 3 | `ь с к` | 3,904 |
|
| 192 |
+
| 4 | `_ ⁙ _` | 3,096 |
|
| 193 |
+
| 5 | `с т ъ` | 3,041 |
|
| 194 |
+
|
| 195 |
+
**4-grams (Subword):**
|
| 196 |
+
|
| 197 |
+
| Rank | N-gram | Count |
|
| 198 |
+
|------|--------|-------|
|
| 199 |
+
| 1 | `_ ѥ с т` | 2,898 |
|
| 200 |
+
| 2 | `с т ъ _` | 2,880 |
|
| 201 |
+
| 3 | `ѥ с т ъ` | 2,700 |
|
| 202 |
+
| 4 | `ъ _ ⁙ _` | 1,900 |
|
| 203 |
+
| 5 | `т ъ _ ⁙` | 1,811 |
|
| 204 |
|
| 205 |
|
| 206 |
### Key Findings
|
| 207 |
|
| 208 |
+
- **Best Perplexity:** 2-gram (subword) with 451
|
| 209 |
- **Entropy Trend:** Decreases with larger n-grams (more predictable)
|
| 210 |
+
- **Coverage:** Top-1000 patterns cover ~45% of corpus
|
| 211 |
- **Recommendation:** 4-gram or 5-gram for best predictive performance
|
| 212 |
|
| 213 |
---
|
|
|
|
| 215 |
|
| 216 |

|
| 217 |
|
| 218 |
+

|
| 219 |
+
|
| 220 |

|
| 221 |
|
| 222 |
### Results
|
| 223 |
|
| 224 |
+
| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
|
| 225 |
+
|---------|---------|-------------|------------|------------------|-----------------|----------------|
|
| 226 |
+
| **1** | Word | 0.4875 | 1.402 | 2.62 | 18,795 | 51.2% |
|
| 227 |
+
| **1** | Subword | 0.9912 | 1.988 | 7.09 | 1,078 | 0.9% |
|
| 228 |
+
| **2** | Word | 0.1229 | 1.089 | 1.22 | 48,721 | 87.7% |
|
| 229 |
+
| **2** | Subword | 0.8197 | 1.765 | 4.19 | 7,639 | 18.0% |
|
| 230 |
+
| **3** | Word | 0.0442 | 1.031 | 1.07 | 58,656 | 95.6% |
|
| 231 |
+
| **3** | Subword | 0.5526 | 1.467 | 2.43 | 31,947 | 44.7% |
|
| 232 |
+
| **4** | Word | 0.0206 🏆 | 1.014 | 1.03 | 61,545 | 97.9% |
|
| 233 |
+
| **4** | Subword | 0.3393 | 1.265 | 1.70 | 77,657 | 66.1% |
|
| 234 |
|
| 235 |
+
### Generated Text Samples (Word-based)
|
| 236 |
|
| 237 |
+
Below are text samples generated from each word-based Markov chain model:
|
| 238 |
|
| 239 |
**Context Size 1:**
|
| 240 |
|
| 241 |
+
1. `и словѣньскъ ѩꙁꙑкъ ѥстъ людии обитаѥтъ стольнъ градъ ѥстъ ѥгожє потомъць тєодєнъ ꙗко идєжє kb постоꙗ...`
|
| 242 |
+
2. `ѥстъ додєканъ ѫглѥводородьно вєщьство алканъ рѧдоу ѥстъ ꙗко нарочито поѩтиѥ паоуло коєлио пїитъ браꙁ...`
|
| 243 |
+
3. `лѣта нарєчєнъ съ тꙑлоу жєнꙑ ѳєологїѩ вївлїи въ дрьжавѣ бѣла роусь сѣи оудѣлъ въ дрьжавѣ бѣла`
|
| 244 |
|
| 245 |
**Context Size 2:**
|
| 246 |
|
| 247 |
+
1. `ꙁьри такождє владимѣръ мєждоусѣтии гради гради въ асии аꙁєрбаичаноѵ`
|
| 248 |
+
2. `людии обитаѥтъ масачоусєтсѣ 7 лєѡдръ обитаѥтъ таджикистана дрьжавьнъ ѩꙁꙑкъ соуми ѥстъ симъ ѩꙁꙑкомъ 9...`
|
| 249 |
+
3. `ѥстъ людии обитаѥтъ лѣта 788 лѣто 168 17 64 320 0 10 23 ꙁапражиѥиванофранковьска 13 9 13`
|
| 250 |
|
| 251 |
**Context Size 3:**
|
| 252 |
|
| 253 |
+
1. `ѥстъ людии обитаѥтъ 700 тꙑсѫщь основанъ ѥстъ лѣта нарєчєнъ градъ съ лѣта гєѡргїꙗ жє мьнитъ лꙑхнꙑ ꙗко...`
|
| 254 |
+
2. `въ дрьжавѣ бѣла роусь сѣи оудѣлъ бѣ члѣнъ ѡбласти рѣкома мѣньска ѡбласть повѣтъ имаѥтъ оурѧдъ рѣкомъ...`
|
| 255 |
+
3. `дрьжавѣ бѣла роусь сѣи оудѣлъ бѣ члѣнъ ѡбласти рѣкома бєрєстєиска ѡбласть повѣтъ имаѥтъ оурѧдъ рѣком...`
|
| 256 |
|
| 257 |
**Context Size 4:**
|
| 258 |
|
| 259 |
+
1. `въ дрьжавѣ бѣла роусь сѣи оудѣлъ бѣ члѣнъ ѡбласти рѣкома мѣньска ѡбласть конѣць иматъ оурѧдъ рѣкомъ ...`
|
| 260 |
+
2. `ѥстъ ꙁємьскъ оудѣлъ въ дрьжавѣ бѣла роусь сѣи оудѣлъ бѣ члѣнъ градоу витьбьскъ въ ѡбласти рѣкома вит...`
|
| 261 |
+
3. `ꙁємьскъ оудѣлъ въ дрьжавѣ бѣла роусь сѣи оудѣлъ бѣ члѣнъ ѡбласти рѣкома бєрєстєиска ѡбласть повѣтъ и...`
|
| 262 |
+
|
| 263 |
+
|
| 264 |
+
### Generated Text Samples (Subword-based)
|
| 265 |
+
|
| 266 |
+
Below are text samples generated from each subword-based Markov chain model:
|
| 267 |
+
|
| 268 |
+
**Context Size 1:**
|
| 269 |
+
|
| 270 |
+
1. `_инъ_єньсєжапь_н`
|
| 271 |
+
2. `а_вє_шємл҄итѣка_п`
|
| 272 |
+
3. `о_стєрїтовоуспє_`
|
| 273 |
+
|
| 274 |
+
**Context Size 2:**
|
| 275 |
+
|
| 276 |
+
1. `ъ_ка_ѥстъ_бѣлꙗѥтъ`
|
| 277 |
+
2. `и_·_тавѣ_коѩбр҄їꙗ:`
|
| 278 |
+
3. `а_костомолїтарьно`
|
| 279 |
+
|
| 280 |
+
**Context Size 3:**
|
| 281 |
+
|
| 282 |
+
1. `тъ_словѣньскъ_ѥстъ`
|
| 283 |
+
2. `_·_єпїсимь_40_грос`
|
| 284 |
+
3. `ьскъвьсцѣ_на_оупи_`
|
| 285 |
+
|
| 286 |
+
**Context Size 4:**
|
| 287 |
+
|
| 288 |
+
1. `_ѥстъ_⁙_наи́бѫ́льша_г`
|
| 289 |
+
2. `стъ_гоѵглъ_єси_и_8_`
|
| 290 |
+
3. `ѥстъ_⁙_сѥго_ѩꙁꙑка_к`
|
| 291 |
|
| 292 |
|
| 293 |
### Key Findings
|
| 294 |
|
| 295 |
+
- **Best Predictability:** Context-4 (word) with 97.9% predictability
|
| 296 |
- **Branching Factor:** Decreases with context size (more deterministic)
|
| 297 |
+
- **Memory Trade-off:** Larger contexts require more storage (77,657 contexts)
|
| 298 |
- **Recommendation:** Context-3 or Context-4 for text generation
|
| 299 |
|
| 300 |
---
|
|
|
|
| 310 |
|
| 311 |
| Metric | Value |
|
| 312 |
|--------|-------|
|
| 313 |
+
| Vocabulary Size | 6,213 |
|
| 314 |
+
| Total Tokens | 63,034 |
|
| 315 |
+
| Mean Frequency | 10.15 |
|
| 316 |
| Median Frequency | 3 |
|
| 317 |
+
| Frequency Std Dev | 60.04 |
|
| 318 |
|
| 319 |
### Most Common Words
|
| 320 |
|
| 321 |
| Rank | Word | Frequency |
|
| 322 |
|------|------|-----------|
|
| 323 |
+
| 1 | и | 2,825 |
|
| 324 |
+
| 2 | ѥстъ | 2,697 |
|
| 325 |
+
| 3 | лѣта | 958 |
|
| 326 |
+
| 4 | бѣ | 912 |
|
| 327 |
+
| 5 | въ | 843 |
|
| 328 |
+
| 6 | градъ | 795 |
|
| 329 |
+
| 7 | ꙁьри | 533 |
|
| 330 |
+
| 8 | такождє | 529 |
|
| 331 |
+
| 9 | жє | 512 |
|
| 332 |
+
| 10 | людии | 470 |
|
| 333 |
|
| 334 |
### Least Common Words (from vocabulary)
|
| 335 |
|
| 336 |
| Rank | Word | Frequency |
|
| 337 |
|------|------|-----------|
|
| 338 |
+
| 1 | статистичьского | 2 |
|
| 339 |
+
| 2 | катєгорїꙗ | 2 |
|
| 340 |
+
| 3 | سخ | 2 |
|
| 341 |
+
| 4 | هس | 2 |
|
| 342 |
+
| 5 | ش | 2 |
|
| 343 |
+
| 6 | ؤخخم | 2 |
|
| 344 |
+
| 7 | خىث | 2 |
|
| 345 |
+
| 8 | ىعةلاثق | 2 |
|
| 346 |
+
| 9 | صشس | 2 |
|
| 347 |
+
| 10 | пльсковьская | 2 |
|
| 348 |
|
| 349 |
### Zipf's Law Analysis
|
| 350 |
|
| 351 |
| Metric | Value |
|
| 352 |
|--------|-------|
|
| 353 |
+
| Zipf Coefficient | 0.9368 |
|
| 354 |
+
| R² (Goodness of Fit) | 0.986351 |
|
| 355 |
| Adherence Quality | **excellent** |
|
| 356 |
|
| 357 |
### Coverage Analysis
|
| 358 |
|
| 359 |
| Top N Words | Coverage |
|
| 360 |
|-------------|----------|
|
| 361 |
+
| Top 100 | 40.9% |
|
| 362 |
+
| Top 1,000 | 72.7% |
|
| 363 |
+
| Top 5,000 | 96.2% |
|
| 364 |
| Top 10,000 | 0.0% |
|
| 365 |
|
| 366 |
### Key Findings
|
| 367 |
|
| 368 |
+
- **Zipf Compliance:** R²=0.9864 indicates excellent adherence to Zipf's law
|
| 369 |
+
- **High Frequency Dominance:** Top 100 words cover 40.9% of corpus
|
| 370 |
+
- **Long Tail:** -3,787 words needed for remaining 100.0% coverage
|
| 371 |
|
| 372 |
---
|
| 373 |
## 5. Word Embeddings Evaluation
|
|
|
|
| 380 |
|
| 381 |

|
| 382 |
|
|
|
|
| 383 |
|
| 384 |
+
### 5.1 Cross-Lingual Alignment
|
| 385 |
+
|
| 386 |
+
> *Note: Multilingual alignment visualization not available for this language.*
|
| 387 |
+
|
| 388 |
+
|
| 389 |
+
### 5.2 Model Comparison
|
| 390 |
+
|
| 391 |
+
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 |
|
| 392 |
+
|-------|-----------|----------|------------------|---------------|----------------|
|
| 393 |
+
| **mono_32d** | 32 | 0.2996 🏆 | 0.4830 | N/A | N/A |
|
| 394 |
+
| **mono_64d** | 64 | 0.0761 | 0.4499 | N/A | N/A |
|
| 395 |
+
| **mono_128d** | 128 | 0.0111 | 0.4641 | N/A | N/A |
|
| 396 |
|
| 397 |
### Key Findings
|
| 398 |
|
| 399 |
+
- **Best Isotropy:** mono_32d with 0.2996 (more uniform distribution)
|
| 400 |
+
- **Semantic Density:** Average pairwise similarity of 0.4657. Lower values indicate better semantic separation.
|
| 401 |
+
- **Alignment Quality:** No aligned models evaluated in this run.
|
| 402 |
+
- **Recommendation:** 128d aligned for best cross-lingual performance
|
| 403 |
|
| 404 |
---
|
| 405 |
+
## 6. Morphological Analysis (Experimental)
|
| 406 |
+
|
| 407 |
+
> ⚠️ **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.
|
| 408 |
+
|
| 409 |
+
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.
|
| 410 |
+
|
| 411 |
+
### 6.1 Productivity & Complexity
|
| 412 |
+
|
| 413 |
+
| Metric | Value | Interpretation | Recommendation |
|
| 414 |
+
|--------|-------|----------------|----------------|
|
| 415 |
+
| Productivity Index | **0.000** | Low morphological productivity | ⚠️ Likely unreliable |
|
| 416 |
+
| Idiomaticity Gap | **-1.000** | Low formulaic content | - |
|
| 417 |
+
|
| 418 |
+
### 6.2 Affix Inventory (Productive Units)
|
| 419 |
+
|
| 420 |
+
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.
|
| 421 |
+
|
| 422 |
+
#### Productive Prefixes
|
| 423 |
+
| Prefix | Examples |
|
| 424 |
+
|--------|----------|
|
| 425 |
+
| `-пр` | правилъ, протєстантї́зма, прѣславъ |
|
| 426 |
+
| `-по` | помꙑшлѥниѥ, послѣдни, польꙃєвати |
|
| 427 |
+
|
| 428 |
+
#### Productive Suffixes
|
| 429 |
+
| Suffix | Examples |
|
| 430 |
+
|--------|----------|
|
| 431 |
+
| `-ъ` | въсѣхъ, правилъ, кѷрїллъ |
|
| 432 |
+
| `-къ` | арктїчьскъ, оучєникъ, оукъ |
|
| 433 |
+
| `-ка` | владимѣрьска, банчьска, вльгоградьска |
|
| 434 |
+
| `-нъ` | октадєканъ, ѥдьнѥнъ, дръжавьнъ |
|
| 435 |
+
| `-ска` | владимѣрьска, банчьска, вльгоградьска |
|
| 436 |
+
| `-скъ` | арктїчьскъ, лєниньскъ, въсточьнословѣньскъ |
|
| 437 |
+
| `-кꙑ` | шавьльскꙑ, дрєвл҄ьнѥгрьчьскꙑ, аѵстрїискꙑ |
|
| 438 |
+
| `-ьска` | владимѣрьска, банчьска, вльгоградьска |
|
| 439 |
+
|
| 440 |
+
### 6.3 Bound Stems (Lexical Roots)
|
| 441 |
+
|
| 442 |
+
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.
|
| 443 |
+
|
| 444 |
+
| Stem | Cohesion | Substitutability | Examples |
|
| 445 |
+
|------|----------|------------------|----------|
|
| 446 |
+
| `боук` | 1.84x | 14 contexts | боукꙑ, боуквꙑ, боукъвъ |
|
| 447 |
+
| `ловѣ` | 1.56x | 18 contexts | словѣ, словѣнъ, словѣнє |
|
| 448 |
+
| `слов` | 1.69x | 14 contexts | слово, слова, словѣ |
|
| 449 |
+
| `ьжав` | 1.70x | 13 contexts | дрьжавѫ, дрьжавꙑ, дрьжавъ |
|
| 450 |
+
| `ньск` | 1.60x | 15 contexts | мѣньска, жєньскъ, мѣньскъ |
|
| 451 |
+
| `ласт` | 1.40x | 20 contexts | власти, властъ, власть |
|
| 452 |
+
| `ьска` | 1.56x | 14 contexts | омьска, людьска, мѣньска |
|
| 453 |
+
| `овѣн` | 1.77x | 9 contexts | словѣнъ, словѣнє, словѣнїꙗ |
|
| 454 |
+
| `град` | 1.57x | 12 contexts | градъ, градѣ, гради |
|
| 455 |
+
| `ьскъ` | 1.55x | 11 contexts | омьскъ, жєньскъ, томьскъ |
|
| 456 |
+
| `блас` | 1.57x | 10 contexts | ѡбласти, область, ѡбласть |
|
| 457 |
+
| `рьжа` | 1.62x | 9 contexts | дрьжавѫ, дрьжавꙑ, дрьжавъ |
|
| 458 |
+
|
| 459 |
+
### 6.4 Affix Compatibility (Co-occurrence)
|
| 460 |
+
|
| 461 |
+
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.
|
| 462 |
+
|
| 463 |
+
| Prefix | Suffix | Frequency | Examples |
|
| 464 |
+
|--------|--------|-----------|----------|
|
| 465 |
+
| `-пр` | `-ъ` | 34 words | приморьскъ, природьнꙑхъ |
|
| 466 |
+
| `-по` | `-ъ` | 34 words | польꙃоуѭтъ, полѫостровъ |
|
| 467 |
+
| `-по` | `-нъ` | 11 words | подобьнъ, поушькинъ |
|
| 468 |
+
| `-по` | `-тъ` | 7 words | польꙃоуѭтъ, польꙃоуѥтъ |
|
| 469 |
+
| `-по` | `-къ` | 7 words | подъбрадъкъ, пол҄ьскъ |
|
| 470 |
+
| `-по` | `-ка` | 7 words | политика, политическа |
|
| 471 |
+
| `-пр` | `-къ` | 6 words | приморьскъ, прѣꙁъсибирьскъ |
|
| 472 |
+
| `-по` | `-скъ` | 6 words | пол҄ьскъ, подольскъ |
|
| 473 |
+
| `-пр` | `-нъ` | 6 words | природьнъ, прѡтонъ |
|
| 474 |
+
| `-по` | `-ска` | 5 words | политическа, подъкарпатьска |
|
| 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 |
+
| самостоꙗтѣл҄ьнъ | **`самостоꙗтѣл҄ь-нъ`** | 4.5 | `самостоꙗтѣл҄ь` |
|
| 483 |
+
| аѵстралїиска | **`аѵстралїи-ска`** | 4.5 | `аѵстралїи` |
|
| 484 |
+
| аѵстрїиска | **`аѵстрїи-ска`** | 4.5 | `аѵстрїи` |
|
| 485 |
+
| франкїиска | **`франкїи-ска`** | 4.5 | `франкїи` |
|
| 486 |
+
| аѵстрїискъ | **`аѵстрїи-скъ`** | 4.5 | `аѵстрїи` |
|
| 487 |
+
| сибирьскъ | **`сибирь-скъ`** | 4.5 | `сибирь` |
|
| 488 |
+
| їталїискъ | **`їталїи-скъ`** | 4.5 | `їталїи` |
|
| 489 |
+
| ꙗпѡнїискъ | **`ꙗпѡнїи-скъ`** | 4.5 | `ꙗпѡнїи` |
|
| 490 |
+
| ꙗпѡнїиска | **`ꙗпѡнїи-ска`** | 4.5 | `ꙗпѡнїи` |
|
| 491 |
+
| посєлєниѥ | **`по-сєлєниѥ`** | 4.5 | `сєлєниѥ` |
|
| 492 |
+
| посєлєниꙗ | **`по-сєлєниꙗ`** | 4.5 | `сєлєниꙗ` |
|
| 493 |
+
| поминаѭтъ | **`по-минаѭ-тъ`** | 3.0 | `минаѭ` |
|
| 494 |
+
| подълѣсьскъ | **`по-дълѣсь-скъ`** | 3.0 | `дълѣсь` |
|
| 495 |
+
| єѯадєканъ | **`єѯадє-ка-нъ`** | 3.0 | `єѯадє` |
|
| 496 |
+
| политическꙑ | **`по-литиче-скꙑ`** | 3.0 | `литиче` |
|
| 497 |
+
|
| 498 |
+
### 6.6 Linguistic Interpretation
|
| 499 |
+
|
| 500 |
+
> **Automated Insight:**
|
| 501 |
+
The language CU 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 | **32k BPE** | Best compression (4.94x) |
|
| 513 |
+
| N-gram | **2-gram** | Lowest perplexity (451) |
|
| 514 |
+
| Markov | **Context-4** | Highest predictability (97.9%) |
|
| 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 10:39:18*
|
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|
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|
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|
| 4 |
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models/subword_markov/cu_markov_ctx2_subword_metadata.json
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|
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models/subword_markov/cu_markov_ctx3_subword_metadata.json
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