Kabardian - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Kabardian Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.

πŸ“‹ 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

Performance Dashboard

Analysis and Evaluation


1. Tokenizer Evaluation

Tokenizer Compression

Tokenizer Fertility

Tokenizer OOV

Total Tokens

Results

Vocab Size Compression Avg Token Len UNK Rate Total Tokens
8k 3.541x 3.54 0.1767% 352,078
16k 3.908x 3.91 0.1950% 319,043
32k 4.190x 4.19 0.2091% 297,527
64k 4.542x πŸ† 4.55 0.2266% 274,517

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: ΠŸΡƒΠ±Π»ΠΈΠΉ Овидий Назон (, 43 Π³ΡŠΠ°Ρ‚Ρ…ΡΠΏΡΠΌ ΠΈ 20, Π‘ΡƒΠ»ΠΌΠΎ β€” 17-18, Вомис) β€” Π£Ρ€Ρ‹ΠΌ импСриэм ...

Vocab Tokens Count
8k ▁п ΡƒΠ±Π» ΠΈΠΉ ▁о Π² ΠΈΠ΄ ΠΈΠΉ ▁н Π°Π· ΠΎΠ½ ... (+31 more) 41
16k ▁публ ΠΈΠΉ ▁о Π² ΠΈΠ΄ ΠΈΠΉ ▁наз ΠΎΠ½ ▁(, ▁ ... (+29 more) 39
32k ▁публий ▁о Π² ΠΈΠ΄ΠΈΠΉ ▁назон ▁(, ▁ 4 3 β–Π³ΡŠΠ°Ρ‚Ρ…ΡΠΏΡΠΌ ... (+26 more) 36
64k ▁публий ▁овидий ▁назон ▁(, ▁ 4 3 β–Π³ΡŠΠ°Ρ‚Ρ…ΡΠΏΡΠΌ ▁и ▁ ... (+21 more) 31

Sample 2: Адэипс () β€” УрысСйм хэт ΠšΡŠΡΠ±ΡΡ€Π΄Π΅ΠΉ-Π‘Π°Π»ΡŠΠΊΡŠΡΡ€Ρ‹ΠΌ ΠΈ щӀыпӀэм хэТ псыщ ШэдТэмым Ρ…ΡΠ»ΡŠΠ°Π΄Ρ...

Vocab Tokens Count
8k ▁адэ ΠΈ пс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΠ±ΡΡ€Π΄Π΅ΠΉ - Π±Π°Π»ΡŠΠΊΡŠΡΡ€Ρ‹ΠΌ ... (+22 more) 32
16k ▁адэ ΠΈ пс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΠ±ΡΡ€Π΄Π΅ΠΉ - Π±Π°Π»ΡŠΠΊΡŠΡΡ€Ρ‹ΠΌ ... (+22 more) 32
32k ▁адэ ΠΈ пс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΠ±ΡΡ€Π΄Π΅ΠΉ - Π±Π°Π»ΡŠΠΊΡŠΡΡ€Ρ‹ΠΌ ... (+21 more) 31
64k ▁адэипс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΠ±ΡΡ€Π΄Π΅ΠΉ - Π±Π°Π»ΡŠΠΊΡŠΡΡ€Ρ‹ΠΌ ▁и ▁щӏыпӏэм ... (+19 more) 29

Sample 3: Шонэпс () β€” УрысСйм хэт ΠšΡŠΡΡ€ΡΡˆΠ΅ΠΉ-ШэрдТэсым ΠΈ щӀыпӀэм хэТ псыщ ΠŸΡΡ‹ΠΆΡŠΡ‹ΠΌ Ρ…ΡΠ»ΡŠΠ°Π΄ΡΡƒ, ...

Vocab Tokens Count
8k β–Ρˆ онэ пс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΡ€ΡΡˆΠ΅ΠΉ - ΡˆΡΡ€Π΄ΠΆΡΡΡ‹ΠΌ ... (+23 more) 33
16k β–Ρˆ онэ пс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΡ€ΡΡˆΠ΅ΠΉ - ΡˆΡΡ€Π΄ΠΆΡΡΡ‹ΠΌ ... (+23 more) 33
32k β–Ρˆ онэ пс ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΡ€ΡΡˆΠ΅ΠΉ - ΡˆΡΡ€Π΄ΠΆΡΡΡ‹ΠΌ ... (+23 more) 33
64k β–ΡˆΠΎΠ½ΡΠΏΡ ▁() ▁— ▁урысСйм ▁хэт β–ΠΊΡŠΡΡ€ΡΡˆΠ΅ΠΉ - ΡˆΡΡ€Π΄ΠΆΡΡΡ‹ΠΌ ▁и ▁щӏыпӏэм ... (+21 more) 31

Key Findings

  • Best Compression: 64k achieves 4.542x compression
  • Lowest UNK Rate: 8k with 0.1767% 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

N-gram Perplexity

N-gram Unique

N-gram Coverage

Results

N-gram Variant Perplexity Entropy Unique N-grams Top-100 Coverage Top-1000 Coverage
2-gram Word 1,558 10.61 2,836 28.9% 70.6%
2-gram Subword 394 πŸ† 8.62 2,782 58.6% 97.2%
3-gram Word 1,116 10.12 2,525 37.0% 74.5%
3-gram Subword 3,004 11.55 20,702 26.1% 64.9%
4-gram Word 1,940 10.92 4,554 31.6% 59.6%
4-gram Subword 13,210 13.69 77,181 13.2% 39.7%
5-gram Word 1,471 10.52 3,389 34.1% 65.4%
5-gram Subword 31,176 14.93 127,435 7.7% 27.5%

Top 5 N-grams by Size

2-grams (Word):

Rank N-gram Count
1 адыгэхэм я 416
2 я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ 386
3 Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ 386
4 ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ 386
5 Ρ‚Ρ…Ρ‹Π»ΡŠΡ…ΡΡ€ Π±Ρ€Π°Ρ‚ 299

3-grams (Word):

Rank N-gram Count
1 адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ 386
2 я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ 386
3 Ρ‚Ρ…Ρ‹Π»ΡŠΡ…ΡΡ€ Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ 299
4 Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм 299
5 Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я 299

4-grams (Word):

Rank N-gram Count
1 адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ 386
2 Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ 299
3 Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я 299
4 Ρ‚Ρ…Ρ‹Π»ΡŠΡ…ΡΡ€ Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм 299
5 я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск 211

5-grams (Word):

Rank N-gram Count
1 Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ 299
2 Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ 299
3 Ρ‚Ρ…Ρ‹Π»ΡŠΡ…ΡΡ€ Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я 299
4 адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск 211
5 я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск къ 206

2-grams (Subword):

Rank N-gram Count
1 э _ 32,580
2 ΠΌ _ 29,279
3 э м 26,549
4 э Ρ€ 26,396
5 Ρ… э 25,875

3-grams (Subword):

Rank N-gram Count
1 э м _ 16,638
2 _ к ъ 15,408
3 э Ρ€ _ 12,826
4 ъ Ρƒ э 10,448
5 Π³ ъ Ρƒ 10,296

4-grams (Subword):

Rank N-gram Count
1 Ρ… э Ρ€ _ 6,565
2 Π³ ъ Ρƒ э 5,997
3 Ρ… э ΠΌ _ 5,976
4 ΠΌ _ ΠΈ _ 4,974
5 э Ρ… э ΠΌ 4,168

5-grams (Subword):

Rank N-gram Count
1 _ Π½ э Ρ… ъ 3,022
2 Ρ‹ Π³ ъ Ρƒ э 2,854
3 э Ρ… э Ρ€ _ 2,785
4 э Ρ… э ΠΌ _ 2,662
5 Ρ… э ΠΌ _ я 2,645

Key Findings

  • Best Perplexity: 2-gram (subword) with 394
  • Entropy Trend: Decreases with larger n-grams (more predictable)
  • Coverage: Top-1000 patterns cover ~28% of corpus
  • Recommendation: 4-gram or 5-gram for best predictive performance

3. Markov Chain Evaluation

Markov Entropy

Markov Contexts

Markov Branching

Results

Context Variant Avg Entropy Perplexity Branching Factor Unique Contexts Predictability
1 Word 0.5371 1.451 2.80 58,099 46.3%
1 Subword 1.1013 2.145 8.35 788 0.0%
2 Word 0.1119 1.081 1.19 162,358 88.8%
2 Subword 1.0773 2.110 6.05 6,578 0.0%
3 Word 0.0277 1.019 1.04 192,783 97.2%
3 Subword 0.8756 1.835 3.66 39,780 12.4%
4 Word 0.0099 πŸ† 1.007 1.01 199,396 99.0%
4 Subword 0.5274 1.441 2.15 145,401 47.3%

Generated Text Samples (Word-based)

Below are text samples generated from each word-based Markov chain model:

Context Size 1:

  1. ΠΈ Π½ΡΡ…ΡŠΡ‹Π±ΡΠΌ ΠΊΡŠΡΡ€Π°Π» Ρ…ΡƒΠΈΡ‚ ящӏат адыгэ ΠΊΡŠΡƒΡΠ΄ΠΆΡΡ…ΡΠΌ Ρ‰Ρ‹Ρ€ΠΎΠΏΡΠ°Π»ΡŠΡ ΠΊΡŠΠ°Π΄ΠΆΠΈΡ‰Ρ‹Ρ€ Π°ΡˆΡ…Π°Ρ€ΡƒΠ° псалъэкӏэ йодТэ щопсэу ӏу...
  2. я Π½ΡΡ…ΡŠΡ‹Π±Π°ΠΏΣΡΠΌ административнэ ΡΡ‹Ρ…ΡŒΡΡ‚ Ρ‡Ρ‹ΠΌ ΠΏΡΡ‰Ρ…ΡŠΠ°Π½ адыгэ мазэцӏэхэр ΠΊΡŠΠΈΠΏΡΡΠ»ΡŠΡƒ ΠΊΡŠΡ‹Π³ΡƒΡ€Ρ‹ΣΡƒΡΡƒ Π΄ΠΈ Π»ΡŠΡΡ…ΡŠΡΠ½ΡΠΌ...
  3. Π½ΡΡ…ΡŠ ΠΈΠ½Ρƒ Ρ‰Ρ‹Ρ‚ ΡˆΡŠΡ…ΡŒΠ°ΠΎ хуэкӏэкӏыу ΠΊΡŠΡΡ€ΡƒΡƒΡ„ΣΡƒ ΠΈΡ‚Ρ…ΡŒΠ°ΠΊΣΡƒΠΌΡΡ…ΡΡ€ ΠΈΠ½ΠΊΡŠΡ‹ΠΌ Ρ‚Π΅ΠΏΠ»ΡŠΡΡ€ Π½ΡΡ…ΡŠΡ‹Ρ‰Ρ…ΡŒΡΡƒ Ρ…ΡŒΡΠΏΡ‰Ρ…ΡƒΠΏΡ‰ Π»ΡŠΡΠΏΠΊΡŠΡ…ΡΡ€...

Context Size 2:

  1. адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСсск гъ Ρ‚Π΅ΠΏΠ»ΡŠΡΡ…ΡΡ€ Π»ΡŠΡΠΏΠΊΡŠΡ…ΡΡ€
  2. ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск къ гъ Π»ΡŠΡΠΏΠΊΡŠΡ‹Ρ€ Π»ΡŠΡΠΏΠΊΡŠΡΠ³ΡŠΡƒΡ…ΡΡ€
  3. Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ чСркСсск гъ Π»ΡŠΡΠΏΠΊΡŠΡ‹Ρ€ Π»ΡŠΡΠΏΠΊΡŠΡ…ΡΡ€

Context Size 3:

  1. адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСсск гъ Ρ‚Π΅ΠΏΠ»ΡŠΡΡ…ΡΡ€ Π»ΡŠΡΠΏΠΊΡŠΡ…ΡΡ€
  2. я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск къ гъ Π»ΡŠΡΠΏΠΊΡŠΡ…ΡΡ€ Π»ΡŠΡΠΏΠΊΡŠΡ‹Ρ€
  3. Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСсск гъ Ρ‚Π΅ΠΏΠ»ΡŠΡΡ…ΡΡ€ Ρ…ΡΠΊΣΡ‹Π³ΡŠΡƒΡΡ…ΡΡ€

Context Size 4:

  1. адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск къ гъ Π»ΡŠΡΠΏΠΊΡŠΡΠ³ΡŠΡƒΡ…ΡΡ€ Π»ΡŠΡΠΏΠΊΡŠΡ‹Ρ€
  2. Π±Ρ€Π°Ρ‚ Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСсск гъ Ρ…ΡΠΊΣΡ‹Π³ΡŠΡƒΡΡ…ΡΡ€ Ρ‚Π΅ΠΏΠ»ΡŠΡΡ…ΡΡ€
  3. Ρ…ΡŒΡΡΠΈΠ½ адыгэхэм я ΠΊΡŠΡƒΠ°Π»ΡΠ±Π·Ρƒ Ρ‰ΣΡΠ½Ρ‹Π³ΡŠΡΡ€ чСркСск къ гъ Ρ…ΡΠΊΣΡ‹Π³ΡŠΡƒΡΡ€ Π»ΡŠΡΠΏΠΊΡŠΡ…ΡΡ€

Generated Text Samples (Subword-based)

Below are text samples generated from each subword-based Markov chain model:

Context Size 1:

  1. _Ρ€Π³Π°ΡƒΡƒΠ΅_кӏыр_я_Π΄
  2. эр_зуэконгуэр_Ι¬ΚΌ
  3. Ρ‹Ρ…ΡŒΡΠΊΣΡ‹Ρ…ΡŠΠ°Π³Ρƒ_сСй

Context Size 2:

  1. э_амазововой_идТ_
  2. ΠΌ_нэм_щӏауэдардСй
  3. эм_Ρ‰ΣΡΡƒΠ±Π³ΡŠΡƒΡΡΠΈΠ»Ρ‹ΠΌ

Context Size 3:

  1. эм_ΠΈ_литСкӏэ,_абгъ
  2. _ΠΊΡŠΡΠΎΡˆΣΡƒΠΊΣΡ_Π°Π±Ρ‹_Π΅Ρ‰
  3. эр_Π°Π½Ρ‚Π°Ρ€_ΠΈΡƒΠΆΡŒ_ΠΊΠ°Π»_

Context Size 4:

  1. хэр_ΠΈ_нэхуаку,_Π½Π°Π»Ρ‰
  2. хэм_я_Π½ΡΡ…ΡŠ_ΠΈΠ½Ρ‰._Π°ΠΏΡ…
  3. Π³ΡŠΡƒΡΠΆΡŒ_Π»ΡΡ‡Ρ‚Ρ…Ρ‹Π³ΡŠΡΡ€_Π°

Key Findings

  • Best Predictability: Context-4 (word) with 99.0% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (145,401 contexts)
  • Recommendation: Context-3 or Context-4 for text generation

4. Vocabulary Analysis

Zipf's Law

Top Words

Coverage Curve

Statistics

Metric Value
Vocabulary Size 18,198
Total Tokens 179,236
Mean Frequency 9.85
Median Frequency 3
Frequency Std Dev 74.58

Most Common Words

Rank Word Frequency
1 ΠΈ 8,299
2 я 3,463
3 Π½ΡΡ…ΡŠ 1,395
4 гъэм 1,150
5 Ρ…Ρ‹ 930
6 ΠΌ 915
7 Π° 847
8 хэт 669
9 Π·Ρ‹ 634
10 ΠΊΠΌ 602

Least Common Words (from vocabulary)

Rank Word Frequency
1 Π΄ΡΠΏΠ»ΡŠΠ΅ΠΉΡ€ 2
2 Ρ…ΡŒΡΠ·Ρ‹Ρ€ 2
3 мэгурым 2
4 мывэр 2
5 уанэр 2
6 хабзэрэ 2
7 ΡˆΡ‹Π΄Ρ‹ΠΌ 2
8 Π·Ρ‹Π»ΡŠΠ°Π³ΡŠΡƒΡ€ 2
9 Π±Π·Ρ‹ΠΏΡ…ΡŠΡ 2
10 ΠΊΡƒΠ± 2

Zipf's Law Analysis

Metric Value
Zipf Coefficient 0.9480
RΒ² (Goodness of Fit) 0.991228
Adherence Quality excellent

Coverage Analysis

Top N Words Coverage
Top 100 26.5%
Top 1,000 56.6%
Top 5,000 80.3%
Top 10,000 90.5%

Key Findings

  • Zipf Compliance: RΒ²=0.9912 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 26.5% of corpus
  • Long Tail: 8,198 words needed for remaining 9.5% coverage

5. Word Embeddings Evaluation

Embedding Isotropy

Similarity Matrix

t-SNE Words

t-SNE Sentences

5.1 Cross-Lingual Alignment

Alignment Quality

Multilingual t-SNE

5.2 Model Comparison

Model Dimension Isotropy Semantic Density Alignment R@1 Alignment R@10
mono_32d 32 0.6517 0.3536 N/A N/A
mono_64d 64 0.2166 0.3347 N/A N/A
mono_128d 128 0.0438 0.3380 N/A N/A
aligned_32d 32 0.6517 πŸ† 0.3583 0.0120 0.1220
aligned_64d 64 0.2166 0.3384 0.0260 0.1680
aligned_128d 128 0.0438 0.3433 0.0440 0.1920

Key Findings

  • Best Isotropy: aligned_32d with 0.6517 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.3444. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 4.4% 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 1.374 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
-къ ΠΊΡŠΡ‹ΠΊΣΠΎΠΆΡ‹Ρ€, ΠΊΡŠΡƒΠΏΡ‰Ρ…ΡŒΡΠΌ, ΠΊΡŠΠ°ΠΊΣΡƒΡ
-ΠΊ ΠΊΡƒΠ±, ΠΊΡŠΡ‹ΠΊΣΠΎΠΆΡ‹Ρ€, ΠΊΡŠΡƒΠΏΡ‰Ρ…ΡŒΡΠΌ
-ΠΏ півострова, пурус, ΠΏΠ°Ρ€ΠΊΡƒ
-Π° Π°Π±Π³ΡŠΡƒΡΡ€, атлантикэ, амазонэхэм
-ΠΈ ΠΈΠΊΣΠ°Π³ΡŠΡ‹Ρ€, ихахэм, ΠΈΣΡ‹Π³ΡŠΡ‹Ρ€
-Π± Π±ΠΆΡ‹Π³ΡŠΡΡ€ΠΈ, Π±Π΄ΠΆΡΡ…ΡŒΠ°ΡˆΡŠΡ…ΡŒΠ°ΠΌ, Π±Π·Ρ‹Ρ€
-зэ Π·ΡΡ„ΣΡΡƒΠ²ΡΠ½Ρ‹Π³ΡŠΡ, зэрщыту, зэхуакухэм
-Ρ… Ρ…ΡΡ…ΡŠΡƒΡ€Ρ, Ρ…ΡŠΡ‹Π±Π°Ρ€Ρ‹Π»ΡŠΡ, хэтхэмрэ

Productive Suffixes

Suffix Examples
-э Ρ…ΡΡ…ΡŠΡƒΡ€Ρ, Ρ…ΡŠΡ‹Π±Π°Ρ€Ρ‹Π»ΡŠΡ, убыхыбзэ
-ΠΌ Ρ‰Ρ‹Ρ‚Π΅Ρ…ΡŒΡΠΌ, ихахэм, ΠΊΡŠΡƒΠΏΡ‰Ρ…ΡŒΡΠΌ
-Ρ€ ΠΈΠΊΣΠ°Π³ΡŠΡ‹Ρ€, Π°Π±Π³ΡŠΡƒΡΡ€, ΠΊΡŠΡ‹ΠΊΣΠΎΠΆΡ‹Ρ€
-эм Ρ‰Ρ‹Ρ‚Π΅Ρ…ΡŒΡΠΌ, ихахэм, ΠΊΡŠΡƒΠΏΡ‰Ρ…ΡŒΡΠΌ
-эр Π°Π±Π³ΡŠΡƒΡΡ€, гуэрэнхэр, ӏутхэр
-Ρƒ ΠΊΡŠΠΈΠΌΡ‹Π³ΡŠΠ°Π½Ρƒ, хэтху, ΡˆΡ…Ρƒ
-Ρ‹ΠΌ ΠΈΡˆΡ…ΠΊΡŠΡ‹ΠΌ, Π²ΠΈΠ΅Ρ‚Π½Π°ΠΌΡ‹ΠΌ, сыбырым
-ӏэ ΠΈΡ‰ΣΠ°Π³ΡŠΡ‹ΠΌΠΊΣΡ, Π³ΡŠΡΠΌΠ°Ρ…ΡƒΡΠΊΣΡ, Π±Π³ΡŠΡƒΡ…ΡΠΌΠΊΣΡ

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
Ρ‹Π³ΡŠΡ 1.62x 51 contexts ΡˆΡ‹Π³ΡŠΡ, Ρ‚Ρ‹Π³ΡŠΡ, Π΄Ρ‹Π³ΡŠΡ
агъэ 1.71x 40 contexts ΡƒΠ°Π³ΡŠΡ, дагъэ, Π΄Π°Π³ΡŠΡΡ€
эпкъ 1.83x 31 contexts нэпкъ, Тэпкъ, лэпкъ
эхэм 1.49x 68 contexts Тэхэм, пэхэм, дэхэм
эхэр 1.57x 54 contexts фэхэр, нэхэр, сэхэр
ΡˆΡŠΡ…ΡŒ 1.63x 35 contexts ΡˆΡŠΡ…ΡŒΡ, ΠΈΡˆΡŠΡ…ΡŒΡ, ΡˆΡŠΡ…ΡŒΡΠΌ
ΡΠ³ΡŠΡƒ 1.46x 52 contexts ΠΆΡΠ³ΡŠΡƒ, Π½ΡΠ³ΡŠΡƒ, ΠΌΡΠ³ΡŠΡƒ
Ρ‹Π³ΡŠΡƒ 1.47x 47 contexts ΡˆΡ‹Π³ΡŠΡƒ, ΡΣΡ‹Π³ΡŠΡƒ, ΠΌΡ‹Π³ΡŠΡƒΡ
ΡŠΡΡ€Π° 2.08x 14 contexts ΠΊΡŠΡΡ€Π°Π», Π³ΡŠΡΡ€Π°Ρ‰, Π³ΡŠΡΡ€Π°ΡƒΡ
ΡΡ…ΡŠΡƒ 1.41x 43 contexts ΠΌΡΡ…ΡŠΡƒ, Π½ΡΡ…ΡŠΡƒ, ΠΌΡΡ…ΡŠΡƒΡ€
ΡΡ…ΡŠΡ‹ 1.71x 21 contexts Π½ΡΡ…ΡŠΡ‹ΠΆΡŠ, Π½ΡΡ…ΡŠΡ‹ΠΆΡŒ, Π½ΡΡ…ΡŠΡ‹Π±Ρ
ΠΊΡŠΡ‹ΠΌ 1.44x 34 contexts ΠΏΠΊΡŠΡ‹ΠΌ, ΠΈΠ½ΠΊΡŠΡ‹ΠΌ, ΠΈΠΏΠΊΡŠΡ‹ΠΌ

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
-къ -э 154 words ΠΊΡŠΠ°ΡˆΡ‹Ρ€Π³ΡŠΡΠ³ΡŠΡƒΠ°Π±ΠΆΡ, къамэ
-къ -Ρ€ 105 words ΠΊΡŠΠΎΠ΄ΠΎΡ€, ΠΊΡŠΡ‹Π·ΡΡ€Π°Π³ΡŠΡΡΡΠ±ΡΠΏΡ‹Ρ€
-ΠΏ -э 95 words плӏыуэ, псыӏуфэ
-Ρ… -э 94 words хымрэ, хухуабТэ
-ΠΏ -ΠΌ 86 words ΠΏΡΠΊΡŠΡ‹ΡƒΡ…ΡΠΌ, прусиэм
-къ -ΠΌ 84 words ΠΊΡŠΡƒΡ‰Ρ…ΡŒΡΡ…ΡΠΌ, ΠΊΡŠΡƒΡΡ…ΡŒΡΠΏΣΡΠΌ
-ΠΈ -э 80 words испаныбзэкӏэ, ицӏэ
-зэ -э 80 words Π·ΡΠΌΡ‹Π»ΣΠ°ΡƒΠΆΡ‹Π³ΡŠΡƒΡ, Π·ΡΡ€ΠΈΠ³ΡŠΡΡƒΠ½ΡΡ…ΡƒΠΌΠΊΣΡ
-къ -Ρƒ 80 words ΠΊΡŠΡΠ»ΡΠ»ΡΡ…Ρƒ, ΠΊΡŠΡ‹Π³ΡŠΠ°Π½Ρƒ
-Ρ‚ -э 79 words тСхуауэ, Ρ‚Π°ΡƒΠΊΡŠΡƒΡ

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
здэпсомрэ здэпсо-ΠΌ-рэ 7.5 ΠΌ
ухуэмСймэ ухуэмСй-ΠΌ-э 7.5 ΠΌ
ΠΈΡ€ΠΈΡ…ΡŒΡΠ»ΣΡΡƒ ΠΈΡ€ΠΈΡ…ΡŒΡΠ»-ӏэ-Ρƒ 7.5 ӏэ
ΠΌΡΠ·Π΄ΠΆΡΠ΄Ρ‰Ρ…ΡŒΡΡ‚ΡƒΠΌΡ ΠΌΡΠ·Π΄ΠΆΡΠ΄Ρ‰Ρ…ΡŒΡΡ‚Ρƒ-ΠΌ-э 7.5 ΠΌ
ΡΠ³ΡŠΡΠ»ΡŠΠ°ΠΏΣΡΡ‚ ягъэлъап-ӏэ-Ρ‚ 7.5 ӏэ
уругуаимрэ ΡƒΡ€ΡƒΠ³ΡƒΠ°ΠΈ-ΠΌ-рэ 7.5 ΠΌ
щӏыӏэтыӏэщ щӏыӏэты-ӏэ-Ρ‰ 7.5 ӏэ
Π²ΠΈΠ΅Ρ‚Π½Π°ΠΌΡ‹ΠΌ Π²ΠΈΠ΅Ρ‚Π½Π°-ΠΌ-Ρ‹ΠΌ 7.5 ΠΌ
ΡˆΡŠΡ…ΡŒΠ°Ρ„Ρ…ΡΡƒ ΡˆΡŠΡ…ΡŒΠ°Ρ„-хэ-Ρƒ 7.5 хэ
Π°Π±Π΄Π΅ΠΆΡŒΡ…ΡΠΌ абдСТь-хэ-ΠΌ 7.5 хэ
радТбаромэ Ρ€Π°Π΄ΠΆΠ±Π°Ρ€ΠΎ-ΠΌ-э 7.5 ΠΌ
праягамрэ праяга-ΠΌ-рэ 7.5 ΠΌ
ΠΊΡŠΠ°ΡƒΠΊΡŠΠ°Π·ΠΌΠΈ ΠΊΡŠΠ°ΡƒΠΊΡŠΠ°Π·-ΠΌ-ΠΈ 7.5 ΠΌ
цитоплазмэ Ρ†ΠΈΡ‚ΠΎΠΏΠ»Π°Π·-ΠΌ-э 7.5 ΠΌ
цӏэрыӏуэт цӏэрыӏу-э-Ρ‚ 6.0 цӏэрыӏу

6.6 Linguistic Interpretation

Automated Insight: The language Kabardian 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

Performance Dashboard

Production Recommendations

Component Recommended Rationale
Tokenizer 64k BPE Best compression (4.54x)
N-gram 2-gram Lowest perplexity (394)
Markov Context-4 Highest predictability (99.0%)
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

  1. Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
  2. Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
  3. Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
  4. Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
  5. 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

Omar Kamali - Omneity Labs

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


Generated by Wikilangs Models Pipeline

Report Date: 2026-01-10 07:17:37

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