Moksha - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Moksha 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 | 3.231x | 3.23 | 0.1355% | 438,468 |
| 16k | 3.531x | 3.53 | 0.1481% | 401,156 |
| 32k | 3.913x | 3.92 | 0.1641% | 362,030 |
| 64k | 4.225x π | 4.23 | 0.1772% | 335,301 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: 433 ΠΊΠΈΠ·Π°. Π’ΡΠ΄Π΄Π΅ ΠΌΠ΅Π·Π΅ ΡΠ»ΡΡΡ Π’ΡΠ΄Π΄Π΅ ΡΠ°ΡΡΡΡ Π’ΡΠ΄Π΄Π΅ ΠΊΡΠ»ΠΎΡΡΡ
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β 4 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 16k | β 4 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 32k | β 4 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 64k | β 4 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
Sample 2: 465 ΠΊΠΈΠ·Π°. Π’ΡΠ΄Π΄Π΅ ΠΌΠ΅Π·Π΅ ΡΠ»ΡΡΡ Π’ΡΠ΄Π΄Π΅ ΡΠ°ΡΡΡΡ Π’ΡΠ΄Π΄Π΅ ΠΊΡΠ»ΠΎΡΡΡ
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β 4 6 5 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 16k | β 4 6 5 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 32k | β 4 6 5 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 64k | β 4 6 5 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
Sample 3: 233 ΠΊΠΈΠ·Π°. Π’ΡΠ΄Π΄Π΅ ΠΌΠ΅Π·Π΅ ΡΠ»ΡΡΡ Π’ΡΠ΄Π΄Π΅ ΡΠ°ΡΡΡΡ Π’ΡΠ΄Π΄Π΅ ΠΊΡΠ»ΠΎΡΡΡ
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β 2 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 16k | β 2 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 32k | β 2 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
| 64k | β 2 3 3 βΠΊΠΈΠ·Π° . βΡΡΠ΄Π΄Π΅ βΠΌΠ΅Π·Π΅ βΡΠ»ΡΡΡ βΡΡΠ΄Π΄Π΅ ... (+3 more) |
13 |
Key Findings
- Best Compression: 64k achieves 4.225x compression
- Lowest UNK Rate: 8k with 0.1355% 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 | 2,477 | 11.27 | 10,854 | 30.8% | 65.4% |
| 2-gram | Subword | 691 π | 9.43 | 4,360 | 41.1% | 94.9% |
| 3-gram | Word | 2,969 | 11.54 | 15,781 | 29.1% | 63.0% |
| 3-gram | Subword | 5,307 | 12.37 | 34,065 | 14.5% | 52.9% |
| 4-gram | Word | 4,572 | 12.16 | 28,280 | 24.9% | 57.4% |
| 4-gram | Subword | 19,794 | 14.27 | 143,320 | 9.8% | 35.0% |
| 5-gram | Word | 4,394 | 12.10 | 24,669 | 24.1% | 57.6% |
| 5-gram | Subword | 37,913 | 15.21 | 276,991 | 8.2% | 30.2% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ |
3,889 |
| 2 | Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ |
3,799 |
| 3 | ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ |
3,172 |
| 4 | ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ |
3,096 |
| 5 | ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ |
3,087 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ |
3,749 |
| 2 | ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ |
3,086 |
| 3 | ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ |
3,079 |
| 4 | Π³Π΅ΠΎΠ³ΡΠ°ΡΠΈΡΡΡ ΠΊΠ»ΠΈΠΌΠ°ΡΡΡ ΠΈΡΡΠΎΡΠΈΡΡΡ |
2,705 |
| 5 | ΡΡΡΠΉΡ
Π½Π΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ |
2,570 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ |
3,071 |
| 2 | ΡΡΡΠΉΡ
Π½Π΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ |
2,565 |
| 3 | Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΎΡΠΈΡΠΈΠ°Π»ΠΎΠ½Ρ |
2,370 |
| 4 | ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΎΡΠΈΡΠΈΠ°Π»ΠΎΠ½Ρ Π»ΠΎΠΏΠ° |
2,344 |
| 5 | ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΠΎΡΡ ΡΠ»Π³Π°Ρ |
2,095 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΡΡΡΠΉΡ
Π½Π΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ |
2,559 |
| 2 | Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΎΡΠΈΡΠΈΠ°Π»ΠΎΠ½Ρ Π»ΠΎΠΏΠ° |
2,313 |
| 3 | ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΠΎΡΡ ΡΠ»Π³Π°Ρ |
2,093 |
| 4 | ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΠΎΡΡ |
2,090 |
| 5 | ΠΊΠΈΠ·ΠΎΠ½Ρ ΡΡΡΠΉΡ
Π½Π΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ |
1,823 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | . _ |
103,097 |
| 2 | Ρ _ |
96,627 |
| 3 | , _ |
55,915 |
| 4 | Ρ Ρ |
53,283 |
| 5 | _ ΠΊ |
50,925 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Ρ Ρ _ |
45,627 |
| 2 | Π½ Ρ _ |
32,529 |
| 3 | Ρ _ ΠΊ |
21,160 |
| 4 | _ β _ |
18,491 |
| 5 | ΠΌ Π° Ρ |
16,761 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π° Ρ Ρ _ |
13,278 |
| 2 | Π΅ Π½ Ρ _ |
13,229 |
| 3 | ΠΎ Π½ Ρ _ |
11,418 |
| 4 | ΠΌ Π° Ρ _ |
8,971 |
| 5 | Ρ Ρ _ ΠΊ |
8,248 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΠΈ Ρ Ρ Ρ _ |
7,473 |
| 2 | _ i s b n |
7,317 |
| 3 | i s b n _ |
7,306 |
| 4 | Ρ Ρ Π° ΠΌ Π° |
6,520 |
| 5 | _ Π» Ρ Ρ Ρ |
6,479 |
Key Findings
- Best Perplexity: 2-gram (subword) with 691
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~30% 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 | 0.6555 | 1.575 | 3.59 | 82,101 | 34.5% |
| 1 | Subword | 1.0880 | 2.126 | 9.78 | 877 | 0.0% |
| 2 | Word | 0.1207 | 1.087 | 1.29 | 292,280 | 87.9% |
| 2 | Subword | 1.0621 | 2.088 | 6.70 | 8,573 | 0.0% |
| 3 | Word | 0.0435 | 1.031 | 1.11 | 374,255 | 95.6% |
| 3 | Subword | 0.8308 | 1.779 | 4.03 | 57,391 | 16.9% |
| 4 | Word | 0.0248 π | 1.017 | 1.06 | 411,850 | 97.5% |
| 4 | Subword | 0.5684 | 1.483 | 2.42 | 231,406 | 43.2% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
isbn le figaro ΠΎΠ΄ΡΠΈ Π΄Π°Π½Π° british north state corporate university of saxe gotha and the royalΡ isbn robert l lamb in gilbert bouriquet hrsg encyclopΓ©die biologique band xlvi paul lechevalier pa...ΡΡΠ΄Π΄Π΅ ΠΌΠ΅Π·Π΅ ΡΠ»ΡΡΡ ΡΡΠ΄Π΄Π΅ ΠΌΠ΅Π·Π΅ ΡΠ»ΡΡΡ Π°ΠΏΠ°ΡΠΈΡΡ ΠΊΠ½Ρ ΡΠ°Π½ Ρ Ρ ΡΠ½ΡΠΈΠΊΠ»ΠΎΠΏΠ΅Π΄ΠΈΡ Π³ΠΎΡΠΎΠ΄ΠΎΠ² ΠΈ ΠΌΠΎΡΠ΄ΠΎΠ²ΡΠΊΠ°Ρ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠ°Π»...
Context Size 2:
ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΡΠΌΡΡΡΠΊΡΠ° encyclopΓ¦dia universalis Π±ΡΠ°ΠΉΡΠΎΠ½ internetowa encyklopedia pwn ΡΡΠΎΠΌΠ±ΠΎΡΠΈΡ...Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΎΡΠΈΡΠ°Π»ΠΎΠ½Ρ Π»ΠΎΠΏΠ° ΠΌΠ°ΡΡΠ²ΠΈΠ»ΠΈ georgian travel guide ΠΌΡΠΌΠ±Π²Π° zambia info org Π³...ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΠΎΡΡ ΡΠ»Π³Π°Ρ Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΊΡΠ°Π½ΡΠΌΠ°ΡΡΠΎΡ encyclopΓ¦dia brita...
Context Size 3:
Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΊΠΎΠ»Π° ΡΠ½Π΅Π³ΠΈΡΡΠ² ΠΌΠΎΡΠ΄ΠΎΠ²ΠΈΡΠ½Ρ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΠΎΠ½Ρ Π±ΠΈΠ±Π»ΠΈΠΎΡΠ΅ΠΊ ΠΆΠΈΠ²Π°ΠΉΠΊΠΈΠ½Π°ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΠΎΡΡ ΡΠ»Π³Π°Ρ ΡΠΎΡΠΎΠ°ΡΡ ΡΠΎΡΠΊΡ ΠΊΡΠ»ΡΠ²Π°Π»ΡΡ hannu tarmio pentti papunen kalevi ko...ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΠΊΡΠ»ΡΠ²Π°Π»ΡΡ Π² Π΄ Π°Π»Π΅ΠΌΠ°ΠΉΠΊΠΈΠ½Π° ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Ρ ΠΏΠΎ ΡΠ·ΡΠΊΡ ΠΈ ΡΠΎΠ»ΡΠΊΠ»ΠΎΡΡ ΡΠ΅...
Context Size 4:
ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΡΠΎΠ΄Π°Ρ Π»ΠΎΠΌΠ°ΡΡΡ Π²ΠΈΠΊΡΠΎΡ Π³ΡΠ΄ΠΎΠΆΠ½ΠΈΠΊΠΎΠ² ΠΌΠΎΠΊΡΠ΅Π½Ρ ΡΠ΅Π°ΡΡΠ°Π½Ρ Π½Π°Π»Ρ ΠΊΠΈΡΡ ...ΡΡΡΠΉΡ Π½Π΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ°ΡΡ ΠΊΡΠ»ΡΡΡΡΠ°ΡΡ ΡΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡ ΡΠΏΠΎΡΡΡΡ ΡΠΎΠ΄Π°Ρ Π»ΠΎΠΌΠ°ΡΡΡ ΠΎΡΡ ΡΠ»Π³Π°Ρ ΠΊΡΠ»ΡΠ²Π°Π»ΡΡ hans h hansen Γs...Π»ΡΡΡΡΠ°ΠΌΠ°Ρ ΡΡΠ΅ΡΠΈΡΠ΅Π½Ρ ΠΊΡΡΡΡΠ΅ΠΌΠ°Ρ ΠΎΡΠΈΡΠΈΠ°Π»ΠΎΠ½Ρ Π»ΠΎΠΏΠ° ΠΊΠΎΠΏΡΡ geonames ΠΊΠΎΠΏΡΡ encyclopΓ¦dia britannica ΠΊΠΎΠΏΡΡ sto...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_ΡΠ°ΡΠ°Π½Π΅Ρ,_Π΄Π΄Π°ΡΠ»ΡΠ°_(amise._4_ΠΊΠΎΠ±ΡΠΎΠΏΡΡΠ°ΠΉΠ½_stogeadi
Context Size 2:
._epin_Π²ΠΈΡ _Π½Π°Ρ_Ρ.Ρ_ΠΏΠΈΠ½Π½ΠΎ-ΠΌΠΎΡΡΠ°_ΠΏΡΠ΅,_ine_deekonlΓ€,_Π΄
Context Size 3:
ΡΡ_ΡΠ°ΡΡΡΡ_ΠΌΠ°ΡΡΡ_ΠΈΡΠ½Ρ_ΠΎΡΡΡ_ΡΡΡΠΌΠ°Ρ_ΠΎΡΠΈΡ_ΠΊΠ»ΠΈΠΌΠ°Ρ_ΡΠΎΡΠΎΠ°ΡΡ ΡΠΎ
Context Size 4:
Π°ΡΡ_ΡΡΠ΄Π΄Π΅_ΠΌΠ΅Π·Π΅_ΡΠ»ΡΡΠ΅Π½Ρ_ΠΊΡΠ»Ρ_Π΄ΠΈ_ΡΠ΅ΠΌΠΈΡΠΈΠ·ΠΎΠ½Ρ_Π»ΠΎΠΏΠ°_Π½ΠΈΠ»Π΅Π½Π΄ΠΈ_Π±ΠΎ
Key Findings
- Best Predictability: Context-4 (word) with 97.5% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (231,406 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 34,162 |
| Total Tokens | 679,791 |
| Mean Frequency | 19.90 |
| Median Frequency | 4 |
| Frequency Std Dev | 148.72 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | isbn | 7,327 |
| 2 | Ρ | 6,258 |
| 3 | ΡΡΠ΄Π΄Π΅ | 5,664 |
| 4 | ΠΊΠΈΠ·ΠΎΠ½Ρ | 5,463 |
| 5 | of | 5,325 |
| 6 | Π»ΡΡΡΡΠ°ΠΌΠ°Ρ | 5,117 |
| 7 | ΠΎΡΡΡ | 5,082 |
| 8 | j | 4,358 |
| 9 | m | 4,287 |
| 10 | a | 4,231 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | kissinger | 2 |
| 2 | franziskanerkloster | 2 |
| 3 | eisenstadt | 2 |
| 4 | sΓΌdburgenlandes | 2 |
| 5 | forschungsgesellschaft | 2 |
| 6 | ΡΠΎΠ΄Π°ΡΡΠΎΠΌΡ | 2 |
| 7 | ΡΠΈΡΠΌΠ° | 2 |
| 8 | ΠΌΡΠ·Π΅ΠΉΠ½Ρ | 2 |
| 9 | sΓ΅lmed | 2 |
| 10 | pΓΌsinΓ€itus | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.0114 |
| RΒ² (Goodness of Fit) | 0.995653 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 33.2% |
| Top 1,000 | 63.0% |
| Top 5,000 | 80.7% |
| Top 10,000 | 88.6% |
Key Findings
- Zipf Compliance: RΒ²=0.9957 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 33.2% of corpus
- Long Tail: 24,162 words needed for remaining 11.4% 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 | 0.7339 | 0.3952 | N/A | N/A |
| mono_64d | 64 | 0.4331 | 0.3884 | N/A | N/A |
| mono_128d | 128 | 0.0795 | 0.3673 | N/A | N/A |
| aligned_32d | 32 | 0.7339 π | 0.3886 | 0.0260 | 0.2120 |
| aligned_64d | 64 | 0.4331 | 0.3862 | 0.0400 | 0.2520 |
| aligned_128d | 128 | 0.0795 | 0.3771 | 0.0480 | 0.3180 |
Key Findings
- Best Isotropy: aligned_32d with 0.7339 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3838. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 4.8% 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 | 0.907 | High formulaic/idiomatic 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.
Productive Prefixes
| Prefix | Examples |
|---|---|
-ΠΊ |
ΠΊΠΎΡΠ°Ρ, ΠΊΠ°Π±ΠΎΠΌΠΏΠ°, ΠΊΠ΅ΠΌΠ΅ΡΠΎΠ²Π° |
-s |
streda, suur, springfield |
-Ρ |
ΡΠ²ΠΎΠ΅ΠΎΠ±ΡΠ°Π·ΠΈΠ΅, ΡΠ²ΡΠ΄ΡΡ, ΡΡΠΊΡΠ΅Π½Π΄Π° |
-ΠΏ |
ΠΏΡΠ½Π°ΠΊΡΠ΄, ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°, ΠΏΠ°Π»ΡΠΎΡ |
-a |
alainii, arietinum, auxopus |
-Π° |
Π°ΡΠΌΠ°ΡΠ°, Π°Π»Ρ, Π°Π½ΡΡΠΎΠΏΠΎΠΌΠΎΡΡΠΈΠ·ΠΌΠ°ΡΡ |
-p |
pallas, pelican, primulinum |
-m |
museer, montigena, modestissima |
Productive Suffixes
| Suffix | Examples |
|---|---|
-Ρ |
ΠΌΡΡΠ»Ρ, ΡΠ°ΡΠ½Π°ΠΌΠ°ΡΡ, ΠΌΠ°ΠΊΡΡΠΎΠ»Ρ |
-Π° |
Π²Π°Π»ΡΡΠ°, Π°ΡΠΌΠ°ΡΠ°, ΠΊΠ°Π±ΠΎΠΌΠΏΠ° |
-a |
montigena, streda, modestissima |
-Π½Ρ |
ΠΌΠΎΠ΄Π°ΡΠ½Π΅Π½Ρ, Π²Π΅Π½Π³Π΅ΡΠΎΠ½Ρ, ΠΌΠΎΡΠ΄Π²Π°Π½Ρ |
-s |
pallas, inputs, dupuis |
-ΡΡ |
ΡΠ°ΡΠ½Π°ΠΌΠ°ΡΡ, ΠΏΠ΅ΡΡΡΠΏΡΠ»ΡΡΡ, Π°Π½ΡΡΠΎΠΏΠΎΠΌΠΎΡΡΠΈΠ·ΠΌΠ°ΡΡ |
-e |
balansae, rice, livermore |
-n |
volkstrachten, wan, erzΓ€hlungen |
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.
| Stem | Cohesion | Substitutability | Examples |
|---|---|---|---|
ΡΠΎΡΠΈ |
1.92x | 23 contexts | ΠΈΡΡΠΎΡΠΈΡ, ΠΈΡΡΠΎΡΠΈΠΈ, Π°ΡΡΠΎΡΠΈΠΌΠ° |
ΠΌΠ°ΡΡ |
1.98x | 19 contexts | ΡΠΌΠ°ΡΡ, ΡΡΠΌΠ°ΡΡ, Π°ΠΌΠ°ΡΡΡ |
ΠΊΠΈΠ·ΠΎ |
1.97x | 16 contexts | ΠΊΠΈΠ·ΠΎΡ, ΠΊΠΈΠ·ΠΎΡ, ΠΊΠΈΠ·ΠΎΡ |
Π°ΡΡΠΎ |
1.74x | 23 contexts | Π°ΡΡΠΎΠ½, ΠΌΠ°ΡΡΠΎΡ, Π²Π°ΡΡΠΎΡ |
ΡΡΡΡ |
1.95x | 16 contexts | ΠΊΡΠ»ΡΡΡΡ, ΠΊΡΠ»ΡΡΡΡΡ, ΠΊΡΠ»ΡΡΡΡΠ΅ |
ΠΎΠ³ΡΠ° |
1.62x | 27 contexts | Π±ΠΈΠΎΠ³ΡΠ°Π΄, Π±ΡΠΎΠ³ΡΠ°Π΄, Π³Π΅ΠΎΠ³ΡΠ°ΡΠ° |
ΠΌΠΎΠΊΡ |
1.86x | 17 contexts | ΠΌΠΎΠΊΡΠΈ, ΠΌΠΎΠΊΡΠ°, ΠΌΠΎΠΊΡΠ΅Ρ |
tion |
1.88x | 16 contexts | tiona, nation, motion |
ΠΎΠΌΠ°Ρ |
1.74x | 15 contexts | ΡΠΎΠΌΠ°Ρ, Π°Π·ΠΎΠΌΠ°ΡΡ, ΡΠ²ΠΎΠΌΠ°ΡΡ |
ΡΠ»ΡΡ |
1.94x | 11 contexts | ΠΊΡΠ»ΡΡ, ΠΊΡΠ»ΡΡΡΡ, ΠΊΡΠ»ΡΡΡΡ |
ΡΠΎΠ»Ρ |
1.92x | 11 contexts | Π°ΡΠΎΠ»Ρ, ΡΠ²ΡΠΎΠ»Ρ, ΡΠΈΡΠΎΠ»Ρ |
ΠΈΡΡΠΎ |
1.83x | 11 contexts | ΠΈΡΡΠΎΠΊΠΈ, ΠΊΡΠΈΡΡΠΎΠ·, ΠΈΡΡΠΎΡΠΈΡ |
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.
| Prefix | Suffix | Frequency | Examples |
|---|---|---|---|
-ΠΊ |
-Ρ |
132 words | ΠΊΠΎΡΠΎΠ»ΡΡΡ, ΠΊΠ°ΡΠ°ΠΌΡΡ |
-ΠΏ |
-Ρ |
97 words | ΠΏΠΈΡΠ΅Π½Ρ, ΠΏΠΎΠ·Π°Π½Ρ |
-ΠΊ |
-Π° |
88 words | ΠΊΠΎΠΉΡΠ°, ΠΊΡΡΠΎΠ²Π° |
-Ρ |
-Ρ |
80 words | ΡΡΡΠ΅Π»Π΅ΡΠ½Π΅Π½Ρ, ΡΠΎΠ±ΠΎΡΡΡ |
-Π° |
-Ρ |
74 words | Π°Π½Π½ΠΎΠΏΠΎΠ»Ρ, Π°Π»ΡΡ |
-s |
-a |
65 words | susanna, secunda |
-a |
-a |
62 words | asta, acuminata |
-ΠΌ |
-Ρ |
60 words | ΠΌΠ°ΠΊΡΡΠ΅ΡΡ, ΠΌΠ°ΡΡΡΠ»Ρ |
-p |
-a |
58 words | paradoxa, pandurifera |
-ΠΊ |
-Π½Ρ |
54 words | ΠΊΠ½ΠΈΠ³Π°Π½Ρ, ΠΊΠ΅Π»ΡΠΌΠ΅ΡΠΈΡΠ΅Π½Ρ |
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).
| Word | Suggested Split | Confidence | Stem |
|---|---|---|---|
| kotschyana | kotschy-a-na |
7.5 | a |
| ΡΠ΅Π³ΠΈΠΎΠ½ΡΠ½Π΅ | ΡΠ΅Π³ΠΈΠΎΠ½-Ρ-Π½Π΅ |
7.5 | Ρ |
| stanislovas | stanislov-a-s |
7.5 | a |
| retrieved | retriev-e-d |
7.5 | e |
| bafoussam | bafouss-a-m |
7.5 | a |
| ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΎΠ½Ρ | ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊ-ΠΎ-Π½Ρ |
7.5 | ΠΎ |
| orchidaceous | orchidace-o-us |
7.5 | o |
| nationalism | national-is-m |
6.0 | national |
| ΡΡΡΠΌΠ°Π΄ΡΠ΅Π½Ρ | ΡΡΡΠΌΠ°Π΄Ρ-Π΅-Π½Ρ |
6.0 | ΡΡΡΠΌΠ°Π΄Ρ |
| Π²Π΅Π»Π΅Π½ΡΡΠ½Π΅ | Π²Π΅Π»Π΅Π½ΡΡ-Π½Π΅ |
4.5 | Π²Π΅Π»Π΅Π½ΡΡ |
| Π²ΠΎΠ»ΠΎΠ³Π΄Π°Π½Ρ | Π²ΠΎΠ»ΠΎΠ³Π΄Π°-Π½Ρ |
4.5 | Π²ΠΎΠ»ΠΎΠ³Π΄Π° |
| ΠΌΠΎΠ½Π³ΠΎΠ»ΠΈΡΠ½Ρ | ΠΌΠΎΠ½Π³ΠΎΠ»ΠΈΡ-Π½Ρ |
4.5 | ΠΌΠΎΠ½Π³ΠΎΠ»ΠΈΡ |
| ΡΡΡΠΌΠ°Π΄ΡΡΡ | ΡΡΡΠΌΠ°Π΄Ρ-ΡΡ |
4.5 | ΡΡΡΠΌΠ°Π΄Ρ |
| transformations | transformation-s |
4.5 | transformation |
| alphabets | alphabet-s |
4.5 | alphabet |
6.6 Linguistic Interpretation
Automated Insight: The language Moksha shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
Note on Idiomaticity: The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (4.23x) |
| N-gram | 2-gram | Lowest perplexity (691) |
| Markov | Context-4 | Highest predictability (97.5%) |
| 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: 2026-01-10 11:39:40



















