Dzongkha - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Dzongkha Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.
π Repository Contents
Models & Assets
- Tokenizers (8k, 16k, 32k, 64k)
- N-gram models (2, 3, 4, 5-gram)
- Markov chains (context of 1, 2, 3, 4 and 5)
- Subword N-gram and Markov chains
- Embeddings in various sizes and dimensions (aligned and unaligned)
- Language Vocabulary
- Language Statistics
Analysis and Evaluation
- 1. Tokenizer Evaluation
- 2. N-gram Model Evaluation
- 3. Markov Chain Evaluation
- 4. Vocabulary Analysis
- 5. Word Embeddings Evaluation
- 6. Morphological Analysis (Experimental)
- 7. Summary & Recommendations
- Metrics Glossary
- Visualizations Index
1. Tokenizer Evaluation
Results
| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens |
|---|---|---|---|---|
| 8k | 4.484x | 4.49 | 0.0965% | 813,691 |
| 16k | 4.768x | 4.77 | 0.1026% | 765,197 |
| 32k | 5.092x | 5.09 | 0.1096% | 716,539 |
| 64k | 5.510x π | 5.51 | 0.1185% | 662,175 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: ΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ ΰ½ΰ½±ΰΌΰ½ΰ½±ΰ½ΰΌ ζ₯ζ¬ ΰ½ΰΌΰ½ΰ½ΰΌΰ½ΰΎ±ΰ½²ΰΌΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ΰΌΰ½ ΰ½ΰ½²ΰΌΰ½€ΰ½’ΰΌΰ½¨ΰ½ΊΰΌΰ½€ΰ½²ΰΌΰ½‘ΰΌΰ½£ΰ½΄ΰΌΰ½ΰ½ΰ½¦ΰΌΰ½ΰ½²ΰΌΰ½‘ΰ½Όΰ½ΰΌΰ½ΰ½²ΰΌΰ½ΰ½ΰ½ΌΰΌΰ½ΰΎ³ΰ½²ΰ½ΰΌΰ½ΰΎ±ΰ½²...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ βΰ½ ΰ½±ΰΌ ΰ½ ΰ½±ΰ½ΰΌ β ζ₯ζ¬ βΰ½ΰΌΰ½ ΰ½ΰΌ ΰ½ΰΎ±ΰ½²ΰΌΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ΰΌ ... (+31 more) |
41 |
| 16k | βΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ βΰ½ΰ½±ΰΌΰ½ΰ½±ΰ½ΰΌ β ζ₯ζ¬ βΰ½ΰΌΰ½ΰ½ΰΌ ΰ½ΰΎ±ΰ½²ΰΌΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ΰΌ ΰ½ ΰ½ΰ½²ΰΌ ΰ½€ΰ½’ΰΌΰ½¨ΰ½ΊΰΌΰ½€ΰ½²ΰΌΰ½‘༠ལུΰΌΰ½ΰ½ΰ½¦ΰΌ ΰ½ΰ½²ΰΌ ... (+23 more) |
33 |
| 32k | βΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ βΰ½ΰ½±ΰΌΰ½ΰ½±ΰ½ΰΌ β ζ₯ζ¬ βΰ½ΰΌΰ½ΰ½ΰΌ ΰ½ΰΎ±ΰ½²ΰΌΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ΰΌ ΰ½ ΰ½ΰ½²ΰΌΰ½€ΰ½’ΰΌΰ½¨ΰ½ΊΰΌΰ½€ΰ½²ΰΌΰ½‘༠ལུΰΌΰ½ΰ½ΰ½¦ΰΌΰ½ΰ½²ΰΌ དོΰ½ΰΌΰ½ΰ½²ΰΌ ΰ½ΰ½ΰ½ΌΰΌΰ½ΰΎ³ΰ½²ΰ½ΰΌΰ½ΰΎ±ΰ½²ΰΌ ... (+12 more) |
22 |
| 64k | βΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ βΰ½ΰ½±ΰΌΰ½ΰ½±ΰ½ΰΌ β ζ₯ζ¬ βΰ½ΰΌΰ½ΰ½ΰΌ ΰ½ΰΎ±ΰ½²ΰΌΰ½’ΰΎΰΎ±ΰ½£ΰΌΰ½ΰ½ΰΌ ΰ½ ΰ½ΰ½²ΰΌΰ½€ΰ½’ΰΌΰ½¨ΰ½ΊΰΌΰ½€ΰ½²ΰΌΰ½‘༠ལུΰΌΰ½ΰ½ΰ½¦ΰΌΰ½ΰ½²ΰΌ དོΰ½ΰΌΰ½ΰ½²ΰΌ ΰ½ΰ½ΰ½ΌΰΌΰ½ΰΎ³ΰ½²ΰ½ΰΌΰ½ΰΎ±ΰ½²ΰΌ ... (+12 more) |
22 |
Sample 2: སེΰ½ΰ½¦ΰΌΰ½
ΰ½ ΰ½ΰΎ±ΰ½²ΰΌΰ½£ΰ½² ΰ½ΰΎ±ΰ½² འསΰΎΰ½β ΰ½ΰΎ±ΰ½ΰ½Ό ΰ½ΰ½Όΰ½ ལུའདྷྠΰ½ΰΎ±ΰ½²ΰΌΰ½ΰ½² ΰ½ΰ½’ΰΌΰ½’ིསΰΌΰ½ΰ½’ΰΌΰ½ ΰ½ΰΎ±ΰ½ΰ½¦ΰΌ ΰ½ΰ½΄ΰ½ΰ½¦ΰΌΰ½ΰ½ΰ½΄ΰ½ΰΌ ΰ½ΰΎ±ΰ½²...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βསེΰ½ΰ½¦ΰΌ ΰ½
ΰ½ βΰ½ΰΎ±ΰ½²ΰΌ ΰ½£ΰ½² βΰ½ΰΎ± ΰ½² βΰ½ βསྠའβΰ½ΰΎ± ... (+15 more) |
25 |
| 16k | βསེΰ½ΰ½¦ΰΌΰ½
ΰ½ βΰ½ΰΎ±ΰ½²ΰΌΰ½£ΰ½² βΰ½ΰΎ± ΰ½² βΰ½ βསྠའβΰ½ΰΎ± ΰ½ΰ½Ό βΰ½ ... (+13 more) |
23 |
| 32k | βསེΰ½ΰ½¦ΰΌΰ½
ΰ½ βΰ½ΰΎ±ΰ½²ΰΌΰ½£ΰ½² βΰ½ΰΎ±ΰ½² βΰ½ βསΰΎΰ½ βΰ½ΰΎ±ΰ½ΰ½Ό βΰ½ΰ½Όΰ½ βལུའβΰ½’ΰΎ βΰ½ΰΎ±ΰ½²ΰΌΰ½ΰ½² ... (+5 more) |
15 |
| 64k | βསེΰ½ΰ½¦ΰΌΰ½
ΰ½ βΰ½ΰΎ±ΰ½²ΰΌΰ½£ΰ½² βΰ½ΰΎ±ΰ½² βΰ½ βསΰΎΰ½ βΰ½ΰΎ±ΰ½ΰ½Ό βΰ½ΰ½Όΰ½ βལུའβΰ½’ΰΎ βΰ½ΰΎ±ΰ½²ΰΌΰ½ΰ½² ... (+5 more) |
15 |
Sample 3: ΰ½ΰ½²ΰΌΰ½ΰ½Όΰ½ΰΌΰ½ΰ½²ΰΌΰ½¦ΰΎΰ½ΰ½¦ΰΌΰ½£ΰ½΄ΰΌΰ½ ΰ½ΰ½΄ΰΌΰ½ΰ½²ΰΌΰ½ΰ½²ΰΌΰ½ΰ½Όΰ½¦ΰΌΰ½ΰ½¦ΰΌ ΰ½’ΰΎΰΎ±ΰΌΰ½ΰ½ΰ½ΌΰΌΰ½ΰ½ΰΌΰ½ΰ½²ΰΌΰ½¦ΰ½Ίΰ½ΰ½¦ΰΌΰ½
ΰ½ΰΌΰ½
ΰ½²ΰ½ΰΌΰ½ΰ½²ΰΌΰ½ΰΎ±ΰ½²ΰΌΰ½€ΰ½΄ΰ½ΰ½¦ΰΌ ΰ½ΰ½΄ΰ½ΰΌΰ½...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΰ½ΰ½²ΰΌ ΰ½ΰ½Όΰ½ΰΌ ΰ½ΰ½²ΰΌ སΰΎΰ½ΰ½¦ΰΌΰ½£ΰ½΄ΰΌ འའུ༠ΰ½ΰ½²ΰΌΰ½ΰ½²ΰΌ ΰ½ΰ½Όΰ½¦ΰΌ ΰ½ΰ½¦ΰΌ βΰ½’ΰΎΰΎ±ΰΌΰ½ΰ½ΰ½ΌΰΌ ... (+15 more) |
25 |
| 16k | βΰ½ΰ½²ΰΌ ΰ½ΰ½Όΰ½ΰΌ ΰ½ΰ½²ΰΌΰ½¦ΰΎΰ½ΰ½¦ΰΌΰ½£ΰ½΄ΰΌ འའུ༠ΰ½ΰ½²ΰΌΰ½ΰ½²ΰΌ ΰ½ΰ½Όΰ½¦ΰΌ ΰ½ΰ½¦ΰΌ βΰ½’ΰΎΰΎ±ΰΌΰ½ΰ½ΰ½ΌΰΌ ΰ½ΰ½ΰΌΰ½ΰ½²ΰΌ ... (+12 more) |
22 |
| 32k | βΰ½ΰ½²ΰΌΰ½ΰ½Όΰ½ΰΌ ΰ½ΰ½²ΰΌΰ½¦ΰΎΰ½ΰ½¦ΰΌΰ½£ΰ½΄ΰΌ ΰ½ ΰ½ΰ½΄ΰΌΰ½ΰ½²ΰΌΰ½ΰ½²ΰΌ ΰ½ΰ½Όΰ½¦ΰΌΰ½ΰ½¦ΰΌ βΰ½’ΰΎΰΎ±ΰΌΰ½ΰ½ΰ½ΌΰΌ ΰ½ΰ½ΰΌΰ½ΰ½²ΰΌΰ½¦ΰ½Ίΰ½ΰ½¦ΰΌΰ½
ΰ½ΰΌ ΰ½
ΰ½²ΰ½ΰΌΰ½ΰ½²ΰΌΰ½ΰΎ±ΰ½²ΰΌΰ½€ΰ½΄ΰ½ΰ½¦ΰΌ βΰ½ΰ½΄ΰ½ΰΌΰ½ΰ½ΰ½’ΰΌΰ½ΰΎ±ΰ½²ΰΌ ΰ½ΰ½²ΰ½ΰΌΰ½ΰ½ΰ½ΰΌ βསΰΎΰΎ±ΰ½ΊΰΌΰ½ΰΌΰ½£ΰΎΰΌΰ½ΰΌ ... (+1 more) |
11 |
| 64k | βΰ½ΰ½²ΰΌΰ½ΰ½Όΰ½ΰΌ ΰ½ΰ½²ΰΌΰ½¦ΰΎΰ½ΰ½¦ΰΌΰ½£ΰ½΄ΰΌ ΰ½ ΰ½ΰ½΄ΰΌΰ½ΰ½²ΰΌΰ½ΰ½²ΰΌ ΰ½ΰ½Όΰ½¦ΰΌΰ½ΰ½¦ΰΌ βΰ½’ΰΎΰΎ±ΰΌΰ½ΰ½ΰ½ΌΰΌ ΰ½ΰ½ΰΌΰ½ΰ½²ΰΌΰ½¦ΰ½Ίΰ½ΰ½¦ΰΌΰ½
ΰ½ΰΌ ΰ½
ΰ½²ΰ½ΰΌΰ½ΰ½²ΰΌΰ½ΰΎ±ΰ½²ΰΌΰ½€ΰ½΄ΰ½ΰ½¦ΰΌ βΰ½ΰ½΄ΰ½ΰΌΰ½ΰ½ΰ½’ΰΌΰ½ΰΎ±ΰ½²ΰΌ ΰ½ΰ½²ΰ½ΰΌΰ½ΰ½ΰ½ΰΌ βསΰΎΰΎ±ΰ½ΊΰΌΰ½ΰΌΰ½£ΰΎΰΌΰ½ΰΌ ... (+1 more) |
11 |
Key Findings
- Best Compression: 64k achieves 5.510x compression
- Lowest UNK Rate: 8k with 0.0965% unknown tokens
- Trade-off: Larger vocabularies improve compression but increase model size
- Recommendation: 32k vocabulary provides optimal balance for production use
2. N-gram Model Evaluation
Results
| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
|---|---|---|---|---|---|---|
| 2-gram | Word | 11,790 | 13.53 | 28,884 | 11.2% | 35.3% |
| 2-gram | Subword | 488 π | 8.93 | 5,527 | 57.6% | 90.8% |
| 3-gram | Word | 34,131 | 15.06 | 59,067 | 5.7% | 18.6% |
| 3-gram | Subword | 3,461 | 11.76 | 28,498 | 24.5% | 62.8% |
| 4-gram | Word | 80,153 | 16.29 | 114,752 | 2.9% | 10.7% |
| 4-gram | Subword | 15,479 | 13.92 | 106,273 | 12.4% | 37.5% |
| 5-gram | Word | 77,316 | 16.24 | 96,422 | 2.3% | 8.9% |
| 5-gram | Subword | 44,243 | 15.43 | 194,726 | 7.1% | 23.4% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | དོΰ½ΰ½ ཨིའ|
3,325 |
| 2 | ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ |
2,719 |
| 3 | སྀྱི ལོ |
1,933 |
| 4 | ཨིའΰ½ΰ½¦ |
1,872 |
| 5 | ΰ½ΰ½ ལུ |
1,628 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΰ½’ΰ½²ΰ½ ΰ½ΰ½Ό ΰ½ΰ½Ί |
778 |
| 2 | དོΰ½ΰ½ ཨིའΰ½ΰ½¦ |
778 |
| 3 | ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰ½ |
732 |
| 4 | སྀྱི ལོ ལུ |
688 |
| 5 | ΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ |
623 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰ½ ལུ |
309 |
| 2 | ΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰ½ |
288 |
| 3 | ΰ½ΰ½ΰ½£ ΰ½£ΰΎ‘ΰ½ ΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ ΰ½ΰ½ ΰ½² |
272 |
| 4 | ΰ½ΰ½΄ དྷུ ΰ½’ΰ½²ΰ½ ΰ½ΰ½Ό |
250 |
| 5 | སྑེ སྲིའΰ½ΰΎ²ΰ½² ΰ½’ΰ½ΰ½¦ |
223 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΰ½ΰ½΄ དྷུ ΰ½’ΰ½²ΰ½ ΰ½ΰ½Ό ΰ½ΰ½Ί |
184 |
| 2 | ΰ½ΰ½ΰ½ ΰ½£ΰ½Ό ΰ½ΰ½Ίΰ½ སྀྱི ΰ½£ΰ½Ό |
162 |
| 3 | ΰ½ΰ½ΰ½¦ ΰ½ΰΎ²ΰ½΄ΰ½ ΰ½’ΰ½²ΰ½ ΰ½ΰ½Ό ΰ½ΰ½Ί |
150 |
| 4 | ΰ½’ΰΎΰΎ±ΰ½£ དོΰ½ΰ½¦ ΰ½ΰ½ΰ½ སΰΎΰΎ±ΰ½²ΰ½ ΰ½ΰ½ΰ½£ |
127 |
| 5 | དོΰ½ΰ½¦ ΰ½ΰ½ΰ½ སΰΎΰΎ±ΰ½²ΰ½ ΰ½ΰ½ΰ½£ ΰ½ ΰ½ΰ½Όΰ½ΰ½¦ |
125 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ས ༠|
123,525 |
| 2 | ΰ½ ΰΌ |
91,851 |
| 3 | ΰ½ ΰΌ |
70,834 |
| 4 | ΰΌ _ |
62,281 |
| 5 | ΰΌ ΰ½ |
59,589 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | འས ༠|
25,075 |
| 2 | ΰ½ ΰ½ ΰΌ |
18,381 |
| 3 | ΰΌ ΰ½ ΰ½ |
17,725 |
| 4 | ΰΌ _ ΰΌ |
15,647 |
| 5 | ΰΌ ΰ½ ΰΌ |
15,536 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΰΌ ΰ½ ΰ½ ΰΌ |
17,384 |
| 2 | ΰΌ ΰ½ ΰ½ ΰ½² ΰΌ |
13,232 |
| 3 | ༠ལ ས ༠|
12,579 |
| 4 | ΰΌ ΰ½ ΰ½ΰ½² ΰΌ |
8,184 |
| 5 | ΰΌ ΰ½ ΰ½ ΰΌ |
6,539 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ༠དོ འའ༠|
5,559 |
| 2 | ༠ལ ས ༠_ |
4,930 |
| 3 | ΰΌ ΰ½ ΰ½ ΰΌ _ |
4,145 |
| 4 | ΰΌ ΰ½ ΰ½ ΰ½ ΰΌ |
3,971 |
| 5 | ས ༠འའི ༠|
3,925 |
Key Findings
- Best Perplexity: 2-gram (subword) with 488
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~23% of corpus
- Recommendation: 4-gram or 5-gram for best predictive performance
3. Markov Chain Evaluation
Results
| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
|---|---|---|---|---|---|---|
| 1 | Word | 1.1820 | 2.269 | 14.12 | 12,061 | 0.0% |
| 1 | Subword | 0.8884 | 1.851 | 7.57 | 1,607 | 11.2% |
| 2 | Word | 0.5611 | 1.475 | 2.65 | 170,162 | 43.9% |
| 2 | Subword | 0.6433 | 1.562 | 5.02 | 12,152 | 35.7% |
| 3 | Word | 0.2267 | 1.170 | 1.41 | 449,950 | 77.3% |
| 3 | Subword | 0.5247 | 1.439 | 3.26 | 61,009 | 47.5% |
| 4 | Word | 0.0989 π | 1.071 | 1.15 | 633,460 | 90.1% |
| 4 | Subword | 0.3500 | 1.275 | 2.11 | 199,035 | 65.0% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
ΰ½ΰ½ སྲས ΰ½ΰ½΄ ΰ½ΰ½²ΰ½¦ ས ΰ½ΰ½ འསླེΰ½ΰ½¦ ΰ½ΰ½Ί ΰ½ ΰ½ΰ½² ΰ½£ΰ½Ίΰ½ΰ½¦ སོ ΰ½ΰ½ ོའདིའΰ½ΰ½¦ΰ½΄ΰ½ ΰ½ΰΎ±ΰ½²ΰ½ ཨིའΰ½ΰ½¦ ΰ½ΰ½Ί ΰ½ ΰ½ΰ½² དུལ ΰ½ΰΎ±ΰ½²ΰ½ ΰ½ ΰ½ ΰ½ΰΎ±ΰ½Όΰ½ ΰ½ ΰ½ΰ½² ΰ½ΰ½² ΰ½£ΰ½± ΰ½ ΰ½ΰ½ ΰ½ΰ½² ΰ½ΰ½£ΰ½΄ ΰ½ΰ½ΰ½ སΰΎΰΎ±ΰ½Όΰ½ ΰ½£ΰ½Ίΰ½ΰ½¦ སོ ΰ½ΰ½ΰ½’ΰ½ΰ½Ό ΰ½ ΰ½²ΰ½ ΰ½ΰ½ ΰ½²ΰ½ ΰ½ΰ½΄ΰ½’ ལུ ΰΌ‘ΰΌ‘ ΰ½ ΰ½ΰ½²ΰ½¦ ΰ½ΰ½ΰΎ¨ ΰ½’ΰ½²ΰ½ΰ½¦ ΰ½
Context Size 2:
དོΰ½ΰ½ ཨིའΰ½ΰ½¦ ΰ½’ΰΎΰΎ±ΰ½ ΰ½’ΰΎΰ½Ίΰ½ ΰΌ‘ ΰ½ΰΎ²ΰ½ ཀོས ΰ½ΰΎ±ΰ½² ΰ½ΰ½¦ΰ½Όΰ½£ ΰ½’ ΰΌ€ ΰ½ΰΎ³ΰ½Όΰ½ ΰ½ ΰ½ΰΎ²ΰ½²ΰ½ ΰ½ΰΎ±ΰ½² ΰ½ΰΎ±ΰ½ ΰ½ΰ½ΰ½ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰΎ±ΰ½² སΰΎΰ½΄ ΰ½’ΰ½²ΰ½ ΰ½ΰ½ ΰ½ΰ½Ό ΰ½ΰ½¦ ΰ½ΰΎ³ΰ½Ό ΰ½ΰΎ²ΰ½Όΰ½¦ ΰ½ΰ½ΰ½ ΰ½ΰ½Ό ΰ½ΰ½²ΰ½¦ ཨ ལུ ΰ½ ΰ½ΰ½² ΰ½ΰ½¦ΰΎ€ΰΎ±ΰ½² ΰ½£ΰ½Ό སྀྱི ΰ½ΰΎ³ ΰΌ€ ΰ½ ΰΌ‘ΰΌ‘ འལས ΰ½ ΰ½ΰ½²ΰ½ ΰ½ΰ½Ίΰ½’ ΰ½ΰ½ΰ½΄ΰ½ΰ½¦ ΰ½ΰ½² ΰ½ΰ½ΰ½Ό ΰ½ΰ½ ΰ½ΰ½² ΰ½£ΰ½Ό
Context Size 3:
ΰ½’ΰ½²ΰ½ ΰ½ΰ½Ό ΰ½ΰ½Ί སΰ½ΰ½¦ ΰ½’ΰΎΰΎ±ΰ½¦ ΰ½ΰ½΄ΰ½ ΰ½ΰΎ±ΰ½² སΰΎΰ½΄ ΰ½ ΰ½ΰ½ འསΰ½ΰ½¦ ΰ½’ΰΎΰΎ±ΰ½¦ ΰ½ΰ½΄ΰ½ ΰ½ΰΎ±ΰ½² ΰ½ΰ½¦ΰ½΄ΰ½ དའདིའདྷྑོདོΰ½ΰ½ ཨིའΰ½ΰ½¦ ཨོ ΰ½’ΰΎΰΎ±ΰ½ ΰ½ΰ½Όΰ½¦ ΰ½ΰΎ³ΰ½²ΰ½ ΰ½£ΰΎ· ΰ½ΰ½ ΰ½ ΰ½ΰ½² ΰ½ΰ½΄ΰ½¦ ΰ½’ΰ½ΰ½¦ ΰΌ¨ ΰ½ΰ½ ΰ½² ΰ½ΰ½ ΰ½ΰ½΄ དྷུ ΰ½’ΰ½²ΰ½ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰ½ ལུ དའΰ½ΰ½ΰ½ΰ½¦ ΰ½ΰ½ΰ½Όΰ½ ΰ½² དྷིའལུΰ½ΰ½¦ ΰ½ΰΎ±ΰ½² ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½Όΰ½ ΰ½² ΰ½ΰ½’ΰΎΰ½ ΰ½ΰ½ΰ½΄ΰ½ΰ½¦ ΰ½ΰ½² ΰ½’ΰΎ© ΰ½ΰ½²ΰ½ ΰ½ΰ½¦ΰ½’
Context Size 4:
ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰ½ ལུ ΰ½ΰ½ΰ½£ ΰ½ ΰ½ΰΎ±ΰ½Όΰ½’ ΰ½ΰΎ±ΰ½² སྑེ ΰ½ΰ½ འིའདའΰ½ΰ½ΰ½² ΰ½ΰ½ΰ½΄ΰ½ΰ½¦ ΰ½ ΰ½ΰ½ ΰ½ΰ½Ί ΰ½ ΰ½ΰ½΄ΰ½ ΰ½ΰ½Ί དའསΰΎΰ½Όΰ½ΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ ΰ½ΰ½ དོའΰ½ΰ½ ΰ½² ΰ½’ΰΎΰΎ±ΰ½£ ΰ½ΰ½ འིའཨིའΰ½ΰ½Ί དའΰ½ΰΎ·ΰ½² ΰ½’ΰ½Ίΰ½ ΰ½ΰ½²ΰ½’ΰ½² ΰ½ΰ½Ίΰ½ ΰ½ΰ½Ίΰ½’ ΰ½ΰ½² ΰ½ ΰ½ΰ½²ΰ½ΰ½ΰ½£ ΰ½£ΰΎ‘ΰ½ ΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ ΰ½ΰ½ ΰ½² ΰ½ΰ½ΰ½΄ΰ½ ΰ½ΰ½’ΰΎΰΎ±ΰ½΄ΰ½ ΰ½ ΰ½²ΰ½ ΰ½ΰ½΄ ΰ½ΰ½²ΰ½ ΰ½² ΰ½ΰ½Όΰ½ ལུ ΰ½ΰ½Ίΰ½¦ ΰ½ΰ½Ίΰ½’ ΰ½ΰ½ΰ½΄ ལུ ΰ½ΰΎ³ ΰ½ ΰ½ΰ½΄ དྷུ
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
ΰΌ_ΰ½ΰ½’ΰΌΰ½ΰ½ΊΰΌΰ½ΰ½²ΰ½¦ΰΌΰ½‘ΰ½Όΰ½ΰ½ΰ½Όΰ½ΰΌΰ½_ΰ½’ΰΎ«ΰ½Όΰ½ΰΌΰ½¦ΰΎΰ½Ίΰ½ΰ½¦ΰΌ_ΰ½ΰ½Ίΰ½ΰΌΰ½ΰΌΰ½’ུའིསལΰ½ΰΌΰ½£ΰ½΄ΰΌΰ½ΰΌΰ½ΰ½ΰ½΄ΰ½ΰ½ΰ½Όΰ½ΰΌΰ½‘ΰ½²ΰ½
Context Size 2:
སΰΌΰ½£ΰ½΄ΰ½ΰΌΰ½ΰ½²ΰ½ΰΌΰ½ΰΌΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ΰΌΰ½ ΰ½ΰΎ²ΰ½΄ΰ½ΰ½ΰΌΰ½ΰΎ²ΰ½΄ΰ½ΰΌΰ½ΰ½ΰΌΰ½¦ΰΎ¦ΰΎ²ΰ½΄ΰ½£ΰΌΰ½ΰΌΰ½ΰ½ΰΌΰ½ΰ½ΰΌΰ½ΰ½ΰΌΰ½ΰΎ³ΰΌΰ½ΰ½ΰ½Όΰ½ΰΌΰ½ΰ½Όΰ½¦ΰΌΰ½ΰ½ΰΌ
Context Size 3:
ΰ½ΰ½¦ΰΌΰ½’ΰ½²ΰ½ΰΌΰ½ΰ½ ΰ½²ΰΌΰ½ΰ½΄ΰ½¦ΰΌΰ½ΰΌΰ½¦ΰΎ¦ΰ½ΊΰΌΰ½ΰ½Όΰ½ΰ½ΰ½ΰΌΰ½’ΰ½ ΰ½²ΰΌΰ½¨ΰ½ΰΌΰ½ΰΎ³ΰ½ΰΌΰ½ΰΌΰ½’ΰ½ΰΌΰ½ΰΌΰ½ΰ½ΰΌΰ½ΰΎ±ΰ½²ΰΌΰ½ΰ½¦ΰΌ_ΰΌΰ½ΰ½²ΰΌΰ½ΰΎ³ΰΌ_ΰΌ’ΰΌ©
Context Size 4:
ΰΌΰ½ΰ½ΰΌΰ½ΰ½ ΰ½²ΰ½ΰΌΰ½ΰ½ΰΌ_དΰ½ΰΌΰ½£ΰ½ΰΌΰ½ΰΌΰ½ΰ½ ΰ½²ΰΌΰ½ΰΎ³ΰΌΰ½ΰΌΰ½ΰ½΄ΰ½ΰΌ_ΰΌΰ½ΰ½ΰ½ΊΰΌΰ½ΰΌΰ½¦ΰΎΰ½ΌΰΌΰ½£ΰ½¦ΰΌ_ΰ½ ΰ½ΰΎ±ΰ½΄ΰ½ΰΌΰ½ΰ½΄ΰ½ΰ½¦ΰΌ_ΰΌΰ½ΰ½ΰ½ ΰΌ
Key Findings
- Best Predictability: Context-4 (word) with 90.1% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (199,035 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 6,761 |
| Total Tokens | 898,876 |
| Mean Frequency | 132.95 |
| Median Frequency | 6 |
| Frequency Std Dev | 709.47 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | ΰ½ΰ½ | 18,802 |
| 2 | ΰ½ | 17,903 |
| 3 | ལུ | 15,384 |
| 4 | ΰ½ΰ½ ΰ½² | 14,560 |
| 5 | ལས | 14,391 |
| 6 | ΰ½ΰ½² | 11,348 |
| 7 | ΰ½ΰ½Ί | 11,091 |
| 8 | ΰ½ | 10,372 |
| 9 | ΰ½ΰ½² | 10,307 |
| 10 | ΰ½ ΰ½ΰ½² | 9,382 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | printer | 2 |
| 2 | fortress | 2 |
| 3 | gods | 2 |
| 4 | wordpress | 2 |
| 5 | phurdo | 2 |
| 6 | gonpa | 2 |
| 7 | assam | 2 |
| 8 | pelgen | 2 |
| 9 | anecdotes | 2 |
| 10 | kheng | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.8277 |
| RΒ² (Goodness of Fit) | 0.959592 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 49.0% |
| Top 1,000 | 92.3% |
| Top 5,000 | 99.6% |
| Top 10,000 | 0.0% |
Key Findings
- Zipf Compliance: RΒ²=0.9596 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 49.0% of corpus
- Long Tail: -3,239 words needed for remaining 100.0% coverage
5. Word Embeddings Evaluation
5.1 Cross-Lingual Alignment
5.2 Model Comparison
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 |
|---|---|---|---|---|---|
| mono_32d | 32 | 0.6999 π | 0.3567 | N/A | N/A |
| mono_64d | 64 | 0.4345 | 0.3403 | N/A | N/A |
| mono_128d | 128 | 0.1109 | 0.3305 | N/A | N/A |
| aligned_32d | 32 | 0.6999 | 0.3594 | 0.0547 | 0.2644 |
| aligned_64d | 64 | 0.4345 | 0.3388 | 0.1307 | 0.4103 |
| aligned_128d | 128 | 0.1109 | 0.3270 | 0.2340 | 0.4742 |
Key Findings
- Best Isotropy: mono_32d with 0.6999 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3421. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 23.4% R@1 in cross-lingual retrieval.
- Recommendation: 128d aligned for best cross-lingual performance
6. Morphological Analysis (Experimental)
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.
6.1 Productivity & Complexity
| Metric | Value | Interpretation | Recommendation |
|---|---|---|---|
| Productivity Index | 5.000 | High morphological productivity | Reliable analysis |
| Idiomaticity Gap | -0.621 | Low formulaic content | - |
6.2 Affix Inventory (Productive Units)
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.
No productive affixes detected.
6.3 Bound Stems (Lexical Roots)
Bound stems are high-frequency subword units that are semantically cohesive but rarely appear as standalone words. These often correspond to the 'core' of a word that requires inflection or derivation to be valid.
No significant bound stems detected.
6.4 Affix Compatibility (Co-occurrence)
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.
No significant affix co-occurrences detected.
6.5 Recursive Morpheme Segmentation
Using Recursive Hierarchical Substitutability, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., prefix-prefix-root-suffix).
Insufficient data for recursive segmentation.
6.6 Linguistic Interpretation
Automated Insight: The language Dzongkha shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (5.51x) |
| N-gram | 2-gram | Lowest perplexity (488) |
| Markov | Context-4 | Highest predictability (90.1%) |
| Embeddings | 100d | Balanced semantic capture and isotropy |
Appendix: Metrics Glossary & Interpretation Guide
This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.
Tokenizer Metrics
Compression Ratio
Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text.
Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average.
What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.
Average Token Length (Fertility)
Definition: Mean number of characters per token produced by the tokenizer.
Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length.
What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.
Unknown Token Rate (OOV Rate)
Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent.
Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences.
What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.
N-gram Model Metrics
Perplexity
Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction.
Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options.
What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.
Entropy
Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy.
Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character.
What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.
Coverage (Top-K)
Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams.
Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage.
What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.
Markov Chain Metrics
Average Entropy
Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction.
Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations).
What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.
Branching Factor
Definition: Average number of unique next tokens observed for each context.
Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive).
What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.
Predictability
Definition: Derived metric: (1 - normalized_entropy) Γ 100%. Indicates how deterministic the model's predictions are.
Intuition: 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes.
What to seek: Higher predictability for text generation quality, but too high (>98%) may produce repetitive output.
Vocabulary & Zipf's Law Metrics
Zipf's Coefficient
Definition: The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1.
Intuition: A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare.
What to seek: Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text.
RΒ² (Coefficient of Determination)
Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
Intuition: RΒ² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
What to seek: RΒ² > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora.
Vocabulary Coverage
Definition: Cumulative percentage of corpus tokens accounted for by the top N words.
Intuition: Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words.
What to seek: Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary.
Word Embedding Metrics
Isotropy
Definition: Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values.
Intuition: High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness.
What to seek: Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy.
Average Norm
Definition: Mean magnitude (L2 norm) of word vectors in the embedding space.
Intuition: Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained.
What to seek: Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation).
Cosine Similarity
Definition: Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction).
Intuition: Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings.
What to seek: Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7.
t-SNE Visualization
Definition: t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization.
Intuition: Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence.
What to seek: Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure.
General Interpretation Guidelines
- Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
- Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
- Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
- Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
- Language-specific patterns: Morphologically rich languages (like Arabic) may show different optimal ranges than analytic languages.
Visualizations Index
| Visualization | Description |
|---|---|
| Tokenizer Compression | Compression ratios by vocabulary size |
| Tokenizer Fertility | Average token length by vocabulary |
| Tokenizer OOV | Unknown token rates |
| Tokenizer Total Tokens | Total tokens by vocabulary |
| N-gram Perplexity | Perplexity by n-gram size |
| N-gram Entropy | Entropy by n-gram size |
| N-gram Coverage | Top pattern coverage |
| N-gram Unique | Unique n-gram counts |
| Markov Entropy | Entropy by context size |
| Markov Branching | Branching factor by context |
| Markov Contexts | Unique context counts |
| Zipf's Law | Frequency-rank distribution with fit |
| Vocab Frequency | Word frequency distribution |
| Top 20 Words | Most frequent words |
| Vocab Coverage | Cumulative coverage curve |
| Embedding Isotropy | Vector space uniformity |
| Embedding Norms | Vector magnitude distribution |
| Embedding Similarity | Word similarity heatmap |
| Nearest Neighbors | Similar words for key terms |
| t-SNE Words | 2D word embedding visualization |
| t-SNE Sentences | 2D sentence embedding visualization |
| Position Encoding | Encoding method comparison |
| Model Sizes | Storage requirements |
| Performance Dashboard | Comprehensive performance overview |
About This Project
Data Source
Models trained on wikipedia-monthly - a monthly snapshot of Wikipedia articles across 300+ languages.
Project
A project by Wikilangs - Open-source NLP models for every Wikipedia language.
Maintainer
Citation
If you use these models in your research, please cite:
@misc{wikilangs2025,
author = {Kamali, Omar},
title = {Wikilangs: Open NLP Models for Wikipedia Languages},
year = {2025},
doi = {10.5281/zenodo.18073153},
publisher = {Zenodo},
url = {https://huggingface.co/wikilangs}
institution = {Omneity Labs}
}
License
MIT License - Free for academic and commercial use.
Links
- π Website: wikilangs.org
- π€ Models: huggingface.co/wikilangs
- π Data: wikipedia-monthly
- π€ Author: Omar Kamali
- π€ Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-04 03:00:40



















