Belarusian - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Belarusian 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 | 3.599x | 3.60 | 0.0489% | 286,335 |
| 16k | 4.042x | 4.05 | 0.0549% | 254,965 |
| 32k | 4.455x | 4.46 | 0.0605% | 231,292 |
| 64k | 4.771x π | 4.78 | 0.0648% | 215,975 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: ΠΠ°Π½Π°Π²ΡΡΡ () β Π²ΡΡΠΊΠ° Ρ Π‘Π°ΠΌΠ±ΡΡΡΠΊΡΠΌ ΡΠ°ΡΠ½Π΅ ΠΡΠ²ΠΎΡΡΠΊΠ°ΠΉ Π²ΠΎΠ±Π»Π°ΡΡΡ Π£ΠΊΡΠ°ΡΠ½Ρ. ΠΡΡΠ½ΡΡΡ ΠΏΡΠ½ΠΊΡ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΠ»Π° Π½Π° Π²Ρ ΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΡΠ°ΠΌ Π±Ρ ... (+12 more) |
22 |
| 16k | βΠ»Π° Π½Π° Π²Ρ ΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΡΠ°ΠΌ Π±Ρ ... (+12 more) |
22 |
| 32k | βΠ»Π° Π½Π° Π²ΡΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΡΠ°ΠΌΠ±Ρ ΡΡΠΊΡΠΌ βΡΠ°ΡΠ½Π΅ ... (+9 more) |
19 |
| 64k | βΠ»Π°Π½Π° Π²ΡΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΡΠ°ΠΌΠ±ΡΡΡΠΊΡΠΌ βΡΠ°ΡΠ½Π΅ βΠ»ΡΠ²ΠΎΡΡΠΊΠ°ΠΉ βΠ²ΠΎΠ±Π»Π°ΡΡΡ ... (+6 more) |
16 |
Sample 2: ΠΠ°ΡΡΠΎ () β ΡΡΠ°Π½ΡΡΠ·ΡΠΊΠ°Π΅ ΠΏΡΠΎΠ·Π²ΡΡΡΠ°. ΠΡΠ΄ΠΎΠΌΡΡ Π½ΠΎΡΡΠ±ΡΡΡ ΠΠ°ΡΡΠ΅Π»Ρ ΠΠ°ΡΡΠΎ, ΡΡΠ°Π½ΡΡΠ·ΡΠΊΡ Π°ΡΡ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΠΌΠ°Ρ ΡΠΎ β() ββ βΡΡΠ°Π½ΡΡΠ· ΡΠΊΠ°Π΅ βΠΏΡΠΎΠ·Π²ΡΡΡΠ° . βΠ²ΡΠ΄ΠΎΠΌΡΡ βΠ½ΠΎΡΡΠ±ΡΡΡ ... (+17 more) |
27 |
| 16k | βΠΌΠ°Ρ ΡΠΎ β() ββ βΡΡΠ°Π½ΡΡΠ· ΡΠΊΠ°Π΅ βΠΏΡΠΎΠ·Π²ΡΡΡΠ° . βΠ²ΡΠ΄ΠΎΠΌΡΡ βΠ½ΠΎΡΡΠ±ΡΡΡ ... (+16 more) |
26 |
| 32k | βΠΌΠ°Ρ ΡΠΎ β() ββ βΡΡΠ°Π½ΡΡΠ· ΡΠΊΠ°Π΅ βΠΏΡΠΎΠ·Π²ΡΡΡΠ° . βΠ²ΡΠ΄ΠΎΠΌΡΡ βΠ½ΠΎΡΡΠ±ΡΡΡ ... (+15 more) |
25 |
| 64k | βΠΌΠ°Ρ ΡΠΎ β() ββ βΡΡΠ°Π½ΡΡΠ·ΡΠΊΠ°Π΅ βΠΏΡΠΎΠ·Π²ΡΡΡΠ° . βΠ²ΡΠ΄ΠΎΠΌΡΡ βΠ½ΠΎΡΡΠ±ΡΡΡ βΠΌΠ°ΡΡΠ΅Π»Ρ ... (+14 more) |
24 |
Sample 3: ΠΠΎΡΠ°Π½ΡΡ () β Π²ΡΡΠΊΠ° Ρ ΠΠ°ΡΠ°Π΄ΡΠ½ΠΊΡΡΡΠΊΡΠΌ ΡΠ°ΡΠ½Π΅ ΠΠ²Π°Π½Π°-Π€ΡΠ°Π½ΠΊΠΎΡΡΠΊΠ°ΠΉ Π²ΠΎΠ±Π»Π°ΡΡΡ Π£ΠΊΡΠ°ΡΠ½Ρ. ΠΡ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΠ²ΠΎΡΠ° Π½ΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΠ³Π°ΡΠ°Π΄ ΡΠ½ ΠΊΡ ΡΡΠΊΡΠΌ ... (+21 more) |
31 |
| 16k | βΠ²ΠΎΡΠ° Π½ΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΠ³Π°ΡΠ°Π΄ ΡΠ½ ΠΊΡΡΡΠΊΡΠΌ βΡΠ°ΡΠ½Π΅ ... (+18 more) |
28 |
| 32k | βΠ²ΠΎΡΠ° Π½ΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΠ³Π°ΡΠ°Π΄ ΡΠ½ ΠΊΡΡΡΠΊΡΠΌ βΡΠ°ΡΠ½Π΅ ... (+17 more) |
27 |
| 64k | βΠ²ΠΎΡΠ° Π½ΡΡ β() ββ βΠ²ΡΡΠΊΠ° βΡ βΠ³Π°ΡΠ°Π΄ ΡΠ½ ΠΊΡΡΡΠΊΡΠΌ βΡΠ°ΡΠ½Π΅ ... (+17 more) |
27 |
Key Findings
- Best Compression: 64k achieves 4.771x compression
- Lowest UNK Rate: 8k with 0.0489% 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 | 115,602 | 16.82 | 1,101,685 | 11.4% | 25.2% |
| 2-gram | Subword | 453 π | 8.82 | 15,623 | 55.9% | 96.8% |
| 3-gram | Word | 178,210 | 17.44 | 1,692,602 | 11.7% | 25.1% |
| 3-gram | Subword | 4,191 | 12.03 | 146,010 | 18.7% | 59.5% |
| 4-gram | Word | 289,150 | 18.14 | 2,823,610 | 9.4% | 24.9% |
| 4-gram | Subword | 25,327 | 14.63 | 932,448 | 8.0% | 29.4% |
| 5-gram | Word | 212,986 | 17.70 | 2,118,708 | 8.7% | 25.2% |
| 5-gram | Subword | 104,621 | 16.67 | 3,234,164 | 4.5% | 17.2% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | 0 10 |
188,589 |
| 2 | 10 0 |
184,434 |
| 3 | 0 09 |
178,217 |
| 4 | 09 0 |
172,685 |
| 5 | Ρ Π³ΠΎΠ΄Π·Π΅ |
141,829 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | 0 10 0 |
183,055 |
| 2 | 0 09 0 |
171,685 |
| 3 | 0 11 0 |
133,047 |
| 4 | 0 08 0 |
125,665 |
| 5 | 0 07 0 |
84,761 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | 0 44 0 10 |
28,229 |
| 2 | 44 0 10 0 |
27,892 |
| 3 | 0 47 0 10 |
27,125 |
| 4 | 47 0 10 0 |
26,709 |
| 5 | 0 50 0 10 |
26,628 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | 0 44 0 10 0 |
27,892 |
| 2 | 0 47 0 10 0 |
26,707 |
| 3 | 0 50 0 10 0 |
26,249 |
| 4 | 0 45 0 10 0 |
25,524 |
| 5 | 0 49 0 10 0 |
24,716 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π° _ |
7,411,164 |
| 2 | Π½ Π° |
5,858,867 |
| 3 | Ρ Π° |
5,764,007 |
| 4 | ΠΊ Π° |
4,983,576 |
| 5 | _ ΠΏ |
4,779,657 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ ΠΏ Π° |
2,113,963 |
| 2 | _ 0 , |
1,872,411 |
| 3 | _ Π½ Π° |
1,678,358 |
| 4 | Π½ Π° _ |
1,430,853 |
| 5 | _ ΠΏ Ρ |
1,351,115 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π° Π³ Π° _ |
985,197 |
| 2 | _ ΠΏ Ρ Π° |
752,091 |
| 3 | _ Π³ ΠΎ Π΄ |
714,067 |
| 4 | _ Π½ Π° _ |
694,537 |
| 5 | ΠΊ Π° ΠΉ _ |
548,513 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΠΊ Π° Π³ Π° _ |
467,479 |
| 2 | Ρ ΠΊ Π° ΠΉ _ |
409,977 |
| 3 | Ρ ΠΊ Π° Π³ Π° |
393,058 |
| 4 | Π± Π΅ Π» Π° Ρ |
392,561 |
| 5 | Π΅ Π» Π° Ρ Ρ |
392,043 |
Key Findings
- Best Perplexity: 2-gram (subword) with 453
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~17% 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 | 0.9802 | 1.973 | 10.66 | 1,600,794 | 2.0% |
| 1 | Subword | 0.4743 | 1.389 | 3.96 | 16,475 | 52.6% |
| 2 | Word | 0.3132 | 1.242 | 1.95 | 17,028,048 | 68.7% |
| 2 | Subword | 0.6391 | 1.557 | 4.81 | 65,298 | 36.1% |
| 3 | Word | 0.1128 | 1.081 | 1.23 | 33,045,925 | 88.7% |
| 3 | Subword | 0.8191 | 1.764 | 4.91 | 313,830 | 18.1% |
| 4 | Word | 0.0455 π | 1.032 | 1.08 | 40,473,004 | 95.4% |
| 4 | Subword | 0.7606 | 1.694 | 3.75 | 1,541,159 | 23.9% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
0 06 0 1 ΠΌΡΠ½ΡΠΊΠ°ΠΉ Π²ΠΎΠ±Π»Π°ΡΡΡ Π±Π΅Π»Π°ΡΡΡΡ Ρ ΡΠ°ΡΠ½Π΅ Π²ΡΡΠ΅Π±ΡΠΊΠ°ΠΉ Π³ΡΠ±Π΅ΡΠ½Ρ Π·Π΅ΠΌΡΠΊΠ°Π³Π° ΡΠ°ΠΌΠ°ΠΊΡΡΠ°Π²Π°Π½Π½Ρ ΡΠΊΠ°Ρ Π²ΡΠΊΠ°Π·Π°Π»Π°ΡΡ ...Ρ Π΄Π·ΡΡΡΡΡ ΡΠ°Π΄ ΠΊΠ°ΡΠ°Π»Π΅Π²Ρ ΡΠΊΡΡ Π²ΡΠΌΠ΅Π½ΡΠ²Π°Π»Ρ Ρ ΡΠ΄ΠΆΠ±Π°ΡΡΠ°Π½Π΅ Π±ΡΡΠΌΡΠ½Π³Π΅ΠΌ ΡΡΡΡ ΠΌΠ°Π½ΡΡΡΡΡΡ ΡΠ½Π°ΠΉΡΡΠ΄ Π΄Π·Π΅ Π°Π΄Π½ΠΎΡΠ½Π° Π½Π΅Π²...Ρ Π³ΠΎΠ΄Π·Π΅ ΡΡΠ°Π»Π° ΡΡΠΊΠΎΡΠ½ΡΠΌ Π²ΡΠ³Π»ΡΠ΄Π·Π΅ ΡΠΎΡ consecinΘa istoricΔ sibiu mitropolitul andrei yahorau alena ΠΌΠ°Ρ ...
Context Size 2:
0 10 0 34 0 12 0 38 0 11 0 53 0 09 0 41 010 0 55 0 09 0 46 0 10 0 63 0 08 0 75 0 070 09 0 54 0 09 0 47 0 10 0 48 0 10 0 45 0
Context Size 3:
0 10 0 37 0 12 0 45 0 10 0 60 0 08 0 58 0 090 09 0 54 0 09 0 50 0 09 so a 0 67 0 08 0 790 11 0 47 0 10 0 54 0 09 0 48 0 10 0 43 0 11
Context Size 4:
0 44 0 10 0 40 0 11 0 54 0 32 0 45 0 32 0 56 044 0 10 0 47 0 10 0 48 0 10 0 48 0 10 0 57 0 060 47 0 10 0 54 0 09 0 87 0 06 sbbc 0 78 0 07 0 47
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_Π±Π΅ΠΊΒ»_ΠΌΠ°Π½ΠΎ_szk._Π°ΡΡΠ»Π°ΡΠ½ΡΠΊΠ»ΡΠ±Π΅Π½ΡΡΠ½Π°Π³ΡΠΊΠ°Ρ_Π²Π°ΠΉ_stol
Context Size 2:
Π°_Π²ΡΠ»ΠΊΡ_Ρ_ΠΏΠ°ΡΡΡΡΠ°Π½Π°_Π°ΠΏΡΠ»ΡΠΊ_Π²Ρ,_ΡΠΊΡΡΠ°Ρ_Π·Π²Π°Π³Π°ΡΡΠΊΠ°Ρ_Π²Ρ
Context Size 3:
_ΠΏΠ°ΠΌΠΊΠ°:_Ρ._ΡΠ°ΠΉΡΠΊΠ°Π³_0,53_0,42_0,43_0,_Π½Π°ΡΡΡ_Ρ_ΡΠ°Π²ΡΡ_ΡΠΌ.
Context Size 4:
Π°Π³Π°_Π·Π°Π½ΡΡ_Ρ_ΠΏΠ°Π²Π΅Π΄Π°,_ΠΏΡΠ°ΡΡΠΉΡΠΊΠ°Ρ_ΡΡΠΏΠΎΠ»ΡΡ_Π³ΠΎΠ΄Π·Π΅_ΠΏΡΡΠ΅Π·Π΄Π°_ΡΡΠ»Ρ
Key Findings
- Best Predictability: Context-4 (word) with 95.4% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (1,541,159 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 741,819 |
| Total Tokens | 55,243,342 |
| Mean Frequency | 74.47 |
| Median Frequency | 4 |
| Frequency Std Dev | 3873.91 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | 0 | 1,944,910 |
| 2 | Ρ | 1,331,350 |
| 3 | Ρ | 1,238,468 |
| 4 | Ρ | 1,161,043 |
| 5 | Π· | 862,221 |
| 6 | Π½Π° | 708,262 |
| 7 | Π³ΠΎΠ΄Π° | 367,568 |
| 8 | Π΄Π° | 290,434 |
| 9 | Π³ΠΎΠ΄Π·Π΅ | 258,378 |
| 10 | 10 | 239,964 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | Π΄Π΅Π²ΡΡΠΊΠ΅ | 2 |
| 2 | Π΄ΡΠΊΡΠ½Π°Ρ | 2 |
| 3 | iovine | 2 |
| 4 | ΡΠ°Π²ΡΠ½ | 2 |
| 5 | Π°ΡΠ²ΡΠ½Ρ | 2 |
| 6 | Π΄ΠΆΡΠ½ΡΠΊΠ° | 2 |
| 7 | ΠΌΡΡΡΠ»ΡΠ½Π°ΠΌ | 2 |
| 8 | ΡΠ°ΡΠ΄ΡΡΠ½Π°Ρ | 2 |
| 9 | ΡΠ²Π°ΡΡ | 2 |
| 10 | ΡΡΠ΅ΡΠ΅Π½ΠΊΠΎ | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 0.9714 |
| RΒ² (Goodness of Fit) | 0.997383 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 29.3% |
| Top 1,000 | 50.6% |
| Top 5,000 | 67.4% |
| Top 10,000 | 74.5% |
Key Findings
- Zipf Compliance: RΒ²=0.9974 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 29.3% of corpus
- Long Tail: 731,819 words needed for remaining 25.5% 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 | 0.6096 | 0.3533 | N/A | N/A |
| mono_64d | 64 | 0.6408 | 0.2859 | N/A | N/A |
| mono_128d | 128 | 0.6444 | 0.2271 | N/A | N/A |
| aligned_32d | 32 | 0.6096 | 0.3568 | 0.0440 | 0.3040 |
| aligned_64d | 64 | 0.6408 | 0.2908 | 0.1380 | 0.5080 |
| aligned_128d | 128 | 0.6444 π | 0.2362 | 0.2300 | 0.6220 |
Key Findings
- Best Isotropy: aligned_128d with 0.6444 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.2917. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 23.0% 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 | 0.467 | 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 |
|---|---|
-ΠΏΠ° |
ΠΏΠ°ΡΠ°Π»Π»Π΅Π»ΡΠ½ΠΎΠΉ, ΠΏΠ°Π΄Π°ΠΏΠ»ΡΠΊΠ°, ΠΏΠ°Π΄ΠΊΡΠ΄Π°Π½Π½Ρ |
-ΠΊΠ° |
ΠΊΠ°Π½Π°Π²Π°Π»Π°Π²Π°, ΠΊΠ°ΡΠ΅Π΄ΡΠ°ΠΌΡ, ΠΊΠ°Π»Π΅ΡΠ½ΡΠΊΠ°Π²Π° |
-ΠΏΡ |
ΠΏΡΡΡΡΡΠΏΠ°ΡΡΡΡΠ½Π°, ΠΏΡΡΠΏΡΡΠΊΡ, ΠΏΡΠ°ΠΏΡΡΠΊΡ |
Productive Suffixes
| Suffix | Examples |
|---|---|
-Π° |
Π³Π°ΡΠΎΡ Π°, ΠΏΡΡΡΡΡΠΏΠ°ΡΡΡΡΠ½Π°, ΠΏΠ°Π΄Π°ΠΏΠ»ΡΠΊΠ° |
-Π³Π° |
ΠΏΠ°ΡΠ΄Π½ΡΠ²Π°Π³Π°, ΡΠΏΠ°ΡΠ΅ΡΡΠΊΠ°Π³Π°, ΠΌΡΠΆΠ°Π·ΡΡΠ½Π°Π³Π° |
-ΠΊΡ |
Π»Π΅Π°Π½ΡΠ½ΡΠΊΡ, ΠΏΡΡΠΏΡΡΠΊΡ, ΠΏΡΠ°ΠΏΡΡΠΊΡ |
-Π°ΠΉ |
ΠΊΡΡΠ½ΠΊΠ°ΠΉ, ΠΎΠ»ΡΡΡΡΡΡΠΊΠ°ΠΉ, Π½Π°ΠΉΠ½ΠΎΡΡΠ°ΠΉ |
-Π°Π³Π° |
ΠΏΠ°ΡΠ΄Π½ΡΠ²Π°Π³Π°, ΡΠΏΠ°ΡΠ΅ΡΡΠΊΠ°Π³Π°, ΠΌΡΠΆΠ°Π·ΡΡΠ½Π°Π³Π° |
-Π°Ρ |
ΡΡΠ΄ΡΡΠ°Π»ΡΠ½Π°Ρ, ΠΏΡΡΠΌΠ΅Π½Π΅Π½Π°Ρ, ΡΠ²Π°Π»ΡΠ±Π°ΡΠ΄ΡΠΊΠ°Ρ |
-Π°Ρ |
ΡΠ°ΠΊΡΡΠ°Π²Π°Ρ, Π²ΡΠ³Π°Ρ, ΡΡΠΊΠ°Π»ΡΠ½ΡΠΊΠ°Ρ |
-Π½Π° |
ΠΏΡΡΡΡΡΠΏΠ°ΡΡΡΡΠ½Π°, Π½Π΅ΠΏΡΡΡΡΠ΄Π½Π°, ΡΠΊΠ°ΠΌΠΏΠ°Π½Π°Π²Π°Π½Π° |
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 |
|---|---|---|---|
Π°Π½ΡΠΊ |
1.51x | 1027 contexts | Π³Π°Π½ΡΠΊ, Π΄Π°Π½ΡΠΊ, ΠΊΠ°Π½ΡΠΊ |
Π½ΡΠΊΠ° |
1.55x | 503 contexts | ΡΠ½ΡΠΊΠ°, ΡΠ½ΡΠΊΠ°, ΡΠ½ΡΠΊΠ°Ρ |
Π½Π°ΡΡ |
1.79x | 190 contexts | Π½Π°ΡΡΠ΅, Π½Π°ΡΡΡ, Π½Π°ΡΡΡ |
Π°ΡΠ΅Π» |
2.08x | 87 contexts | Π°ΡΠ΅Π»Ρ, Π°ΡΠ΅Π»Ρ, ΡΠ°ΡΠ΅Π» |
Π΅Π»Π°Ρ |
2.39x | 47 contexts | Π±Π΅Π»Π°Ρ, ΡΠ΅Π»Π°Ρ, Π³Π΅Π»Π°Ρ |
ΡΡΠΊΠ° |
1.58x | 236 contexts | Π΅ΡΡΠΊΠ°, ΡΡΡΠΊΠ°, ΡΡΡΠΊΠ°Π΅ |
Π°Π΅ΡΡ |
2.20x | 48 contexts | ΠΌΠ°Π΅ΡΡΠ°, ΠΊΠ°Π΅ΡΡΠ°, Π»Π°Π΅ΡΡΠ° |
ΡΡΡΠ½ |
1.49x | 233 contexts | ΡΡΡΡΠ½Ρ, ΡΡΡΡΠ½Ρ, ΡΡΡΡΠ½Π° |
Π½ΡΠΊΡ |
1.34x | 416 contexts | Π΅Π½ΡΠΊΡ, ΡΠ½ΡΠΊΡ, ΡΠ½ΡΠΊΡ |
Π΅Π»ΡΠ½ |
1.32x | 342 contexts | Π΅Π»ΡΠ½Ρ, Π΅Π»ΡΠ½Π°, Π΅Π»ΡΠ½Ρ |
Ρ
ΠΎΠ΄Π· |
1.47x | 182 contexts | Ρ ΠΎΠ΄Π·Ρ, Ρ ΠΎΠ΄Π·Π°, Ρ ΠΎΠ΄Π·Ρ |
Π°Π½Π½Ρ |
1.47x | 174 contexts | ΡΠ°Π½Π½Ρ, Π²Π°Π½Π½Ρ, Π°ΡΠ°Π½Π½Ρ |
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 |
|---|---|---|---|
-ΠΏΠ° |
-Π° |
57 words | ΠΏΠ°Π΄Π»ΡΡΠ²Π°ΡΡΡΠ°, ΠΏΠ°Π²Π΅ΡΠ° |
-ΠΊΠ° |
-Π° |
51 words | ΠΊΠ°ΡΠ°Ρ Π°Π½Π°, ΠΊΠ°ΡΠ°Π»ΡΠΊΠΎΠ²Π° |
-ΠΏΡ |
-Π° |
33 words | ΠΏΡΡΠ½ΡΡΡΠ°, ΠΏΡΠ°ΡΡΠ³Π²Π°ΡΡΡΠ° |
-ΠΏΠ° |
-ΡΡ |
14 words | ΠΏΠ°Π΄ΠΏΡΡΠΆΠ½ΡΡ, ΠΏΠ°ΡΡΡΡΠ±ΡΠ°Π½ΡΡ |
-ΠΏΠ° |
-Π°ΠΉ |
14 words | ΠΏΠ°ΡΠ»Π°Π²ΡΡΠΊΠ°ΠΉ, ΠΏΠ°Π³ΡΠ±Π΅Π»ΡΠ½Π°ΠΉ |
-ΠΊΠ° |
-Π°Ρ |
14 words | ΠΊΠ°ΡΠ½ΡΠ°Ρ, ΠΊΠ°ΡΡΡΠΏΠ°Π½Π΄ΡΠ½ΡΠΊΠ°Ρ |
-ΠΊΠ° |
-Π½Π° |
13 words | ΠΊΠ°ΡΠ°Ρ Π°Π½Π°, ΠΊΠ°Π΄ΡΡΠ½Π° |
-ΠΊΠ° |
-Π³Π° |
13 words | ΠΊΠ°Π»Π΅Π²Π°Π»ΡΡΠΊΠ°Π³Π°, ΠΊΠ°Π»Π°ΡΠ°Π΄ΡΠΊΠ°Π³Π° |
-ΠΏΠ° |
-ΠΊΡ |
13 words | ΠΏΠ°ΠΊΡΠΏΠΊΡ, ΠΏΠ°Π»Π°ΡΠ°Π½ΠΊΡ |
-ΠΏΠ° |
-Π³Π° |
13 words | ΠΏΠ°ΠΏΠ°Π»Π΅Π½Π°Π³Π°, ΠΏΠ°Π»Π°ΡΠΊΠ°Π²Π°Π³Π° |
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 |
|---|---|---|---|
| Π³Π°Π»ΡΡΡΠ½Π°ΡΠΊΠ° | Π³Π°Π»ΡΡΡΠ½-Π°Ρ-ΠΊΠ° |
6.0 | Π³Π°Π»ΡΡΡΠ½ |
| ΠΏΠ΅ΡΠ°ΠΊΠ»Π°Π΄ΡΡΠΊΠ°Ρ | ΠΏΠ΅ΡΠ°ΠΊΠ»Π°Π΄ΡΡΠΊ-Π°Ρ |
4.5 | ΠΏΠ΅ΡΠ°ΠΊΠ»Π°Π΄ΡΡΠΊ |
| Π·ΡΠΊΡΡΠ°ΡΠ°Ρ | Π·ΡΠΊΡΡΠ°Ρ-Π°Ρ |
4.5 | Π·ΡΠΊΡΡΠ°Ρ |
| Π°ΡΡΡΠ°Π±Π»Π΅ΠΌΠ°ΠΉ | Π°ΡΡΡΠ°Π±Π»Π΅ΠΌ-Π°ΠΉ |
4.5 | Π°ΡΡΡΠ°Π±Π»Π΅ΠΌ |
| Π°Π²ΡΡΠ°ΡΡΠ°Π΄Π°Ρ | Π°Π²ΡΡΠ°ΡΡΠ°Π΄-Π°Ρ |
4.5 | Π°Π²ΡΡΠ°ΡΡΠ°Π΄ |
| Π³ΡΠΊΠ°ΡΠ°Π΄Π°Ρ | Π³ΡΠΊΠ°ΡΠ°Π΄-Π°Ρ |
4.5 | Π³ΡΠΊΠ°ΡΠ°Π΄ |
| ΡΡΡΡΠ»ΡΠ½ΡΠΊΠ°Ρ | ΡΡΡΡΠ»ΡΠ½ΡΠΊ-Π°Ρ |
4.5 | ΡΡΡΡΠ»ΡΠ½ΡΠΊ |
| Π°Π΄ΠΏΡΠ°ΡΡΡΡΠΊΠ°Ρ | Π°Π΄ΠΏΡΠ°ΡΡΡΡΠΊ-Π°Ρ |
4.5 | Π°Π΄ΠΏΡΠ°ΡΡΡΡΠΊ |
| ΡΡΠ΄ΡΠΌΠΏΡΠ°ΡΡΡΡΠ°Ρ | ΡΡΠ΄ΡΠΌΠΏΡΠ°ΡΡΡΡ-Π°Ρ |
4.5 | ΡΡΠ΄ΡΠΌΠΏΡΠ°ΡΡΡΡ |
| ΠΊΡΠ»ΡΠ½Π°ΡΠ°Ρ | ΠΊΡΠ»ΡΠ½Π°Ρ-Π°Ρ |
4.5 | ΠΊΡΠ»ΡΠ½Π°Ρ |
| ΡΠ½ΡΡΠ³Π΅ΡΠ°Ρ | ΡΠ½ΡΡΠ³Π΅Ρ-Π°Ρ |
4.5 | ΡΠ½ΡΡΠ³Π΅Ρ |
| Π³ΡΠ»ΡΠ°Ρ ΡΠ°Ρ | Π³ΡΠ»ΡΠ°Ρ
Ρ-Π°Ρ |
4.5 | Π³ΡΠ»ΡΠ°Ρ
Ρ |
| ΡΡΠ³ΡΡΡΡΠ°ΡΡΠΉΠ½Π° | ΡΡΠ³ΡΡΡΡΠ°ΡΡΠΉ-Π½Π° |
4.5 | ΡΡΠ³ΡΡΡΡΠ°ΡΡΠΉ |
| ΡΠ°ΠΏΠ°Π΅ΡΡΠΊΠ°Π³Π° | ΡΠ°ΠΏΠ°Π΅ΡΡΠΊ-Π°Π³Π° |
4.5 | ΡΠ°ΠΏΠ°Π΅ΡΡΠΊ |
| Π³ΡΡΠ½ΡΠΎΡΠΊΠ° | Π³ΡΡΠ½ΡΠΎΡ-ΠΊΠ° |
4.5 | Π³ΡΡΠ½ΡΠΎΡ |
6.6 Linguistic Interpretation
Automated Insight: The language Belarusian 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 (4.77x) |
| N-gram | 2-gram | Lowest perplexity (453) |
| Markov | Context-4 | Highest predictability (95.4%) |
| 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: 2026-01-06 15:57:39



















