Ingush - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Ingush 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 3.549x 3.56 0.1349% 201,601
16k 3.935x 3.94 0.1496% 181,782
32k 4.258x 4.27 0.1619% 168,012
64k 4.589x πŸ† 4.60 0.1745% 155,892

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: МС́ксика ( ), ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΈ β€” ΠœΠ΅ΠΊΡΠΈΠΊΠ°Ρ…ΠΎΠΉ Π₯Π΅Ρ‚Ρ‚Π° Π¨Ρ‚Π°Ρ‚Π°ΡˆΠœΠ˜Π” России | | ΠœΠ•ΠšΠ‘Π˜ΠšΠ () β€” ΠΏΠ°...

Vocab Tokens Count
8k ▁мС ́ кс ΠΈΠΊΠ° ▁( ▁), β–ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΈ ▁— ▁мСкс ΠΈΠΊΠ° ... (+19 more) 29
16k ▁мС ́ кс ΠΈΠΊΠ° ▁( ▁), β–ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΈ ▁— ▁мСксика Ρ…ΠΎΠΉ ... (+17 more) 27
32k ▁мС ́ кс ΠΈΠΊΠ° ▁( ▁), β–ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΈ ▁— ▁мСксика Ρ…ΠΎΠΉ ... (+16 more) 26
64k `▁мС́ксика ▁( ▁), β–ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΈ ▁— ▁мСксикахой ▁хСтта β–ΡˆΡ‚Π°Ρ‚Π°ΡˆΠΌΠΈΠ΄ ▁россии ▁ ... (+11 more)`

Sample 2: Нотр-Π”Π°ΠΌ-Π΄Π΅-ΠŸΠ°Ρ€ΠΈ Π΅ ΠŸΠ°Ρ€ΠΈΠΆΠ° Π”Π°ΡŒΠ»Π° Наьна Π­Π»Π³Π°Ρ† (, ) β€” ΠŸΠ°Ρ€ΠΈΠΆΠ΅ ΠΉΠΎΠ°Π»Π»Π° ΠΊΠ°Ρ‚ΠΎΠ»ΠΈΠΊΠΈΠΉ элгац...

Vocab Tokens Count
8k ▁н ΠΎΡ‚ Ρ€ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏ Π°Ρ€ΠΈ ... (+27 more) 37
16k ▁нот Ρ€ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏΠ°Ρ€ΠΈ ▁С ▁пари ... (+21 more) 31
32k ▁нот Ρ€ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏΠ°Ρ€ΠΈ ▁С ▁париТа ... (+20 more) 30
64k ▁нотр - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏΠ°Ρ€ΠΈ ▁С ▁париТа β–Π΄Π°ΡŒΠ»Π° ... (+18 more) 28

Sample 3: «Нийсхо» (я) () β€” ΡˆΠ΅Ρ€Π° Π³Σ€Π°Π»Π³Σ€Π°ΡˆΠΊΠ°Ρ€Π° Ρ…ΡŒΠ°ΡΡŒΠΊΠΊΡ…Π°Μ Π“Σ€Π°Π»ΠΌΠ΅ ΡˆΠ°Ρ…ΡŒΠ°Ρ€ ΡŽΡ…Π° Π“Σ€Π°Π»Π³Σ€Π°ΠΉ РСспуб...

Vocab Tokens Count
8k ▁« нийс Ρ…ΠΎ Β» ▁( я ) ▁() ▁— β–ΡˆΠ΅Ρ€Π° ... (+25 more) 35
16k ▁« нийс Ρ…ΠΎ Β» ▁( я ) ▁() ▁— β–ΡˆΠ΅Ρ€Π° ... (+20 more) 30
32k ▁« нийсхо Β» ▁( я ) ▁() ▁— β–ΡˆΠ΅Ρ€Π° β–Π³ΣΠ°Π»Π³ΣΠ°Ρˆ ... (+17 more) 27
64k ▁« нийсхо Β» ▁( я ) ▁() ▁— β–ΡˆΠ΅Ρ€Π° β–Π³ΣΠ°Π»Π³ΣΠ°ΡˆΠΊΠ°Ρ€Π° ... (+15 more) 25

Key Findings

  • Best Compression: 64k achieves 4.589x compression
  • Lowest UNK Rate: 8k with 0.1349% 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 2,700 11.40 4,486 18.1% 59.8%
2-gram Subword 374 πŸ† 8.55 2,693 59.4% 97.6%
3-gram Word 2,178 11.09 4,133 19.5% 65.5%
3-gram Subword 3,053 11.58 18,826 23.3% 64.6%
4-gram Word 4,659 12.19 9,587 15.7% 49.4%
4-gram Subword 14,259 13.80 75,178 11.2% 36.9%
5-gram Word 3,632 11.83 7,779 17.6% 54.3%
5-gram Subword 35,588 15.12 140,686 7.5% 25.1%

Top 5 N-grams by Size

2-grams (Word):

Rank N-gram Count
1 Π±Π΅Π»Π³Π°Π»Π΄Π°ΠΊΠΊΡ…Π°Ρ€ Ρ‚ΣΠ°Ρ‚ΠΎΠ²ΠΆΠ°ΠΌΠ°Ρˆ 415
2 гӏалгӏай ΠΌΠ΅Ρ…ΠΊΠ° 328
3 Π· Ρ…ΡŒ 315
4 Π²Π°ΠΉ Π· 307
5 Ρ…ΡŒΠ°ΠΆΠ° ΠΈΡˆΡ‚Ρ‚Π° 255

3-grams (Word):

Rank N-gram Count
1 Π²Π°ΠΉ Π· Ρ…ΡŒ 307
2 ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· 232
3 Π½Π°Ρ… Π±Π°Ρ…Π° ΠΌΠΎΡ‚Ρ‚ΠΈΠ³Π°Ρˆ 153
4 Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ 130
5 Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ 130

4-grams (Word):

Rank N-gram Count
1 ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 232
2 Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ 130
3 Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ 130
4 Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· 130
5 ΡˆΠ°Ρ…ΡŒΠ°Ρ€Π° Π½Π°Ρ… Π±Π°Ρ…Π° ΠΌΠΎΡ‚Ρ‚ΠΈΠ³Π°Ρˆ 130

5-grams (Word):

Rank N-gram Count
1 Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ 130
2 Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· 130
3 Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 130
4 ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ 117
5 гӏа ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 100

2-grams (Subword):

Rank N-gram Count
1 Π° _ 75,922
2 Π° Ρ€ 27,088
3 ӏ а 26,314
4 Π° Π» 24,378
5 Ρ€ Π° 24,271

3-grams (Subword):

Rank N-gram Count
1 Ρ… ь Π° 13,086
2 г ӏ а 13,029
3 а ш _ 11,108
4 Ρ€ Π° _ 10,332
5 Ρ‡ Π° _ 9,547

4-grams (Subword):

Rank N-gram Count
1 Π° Ρ€ Π° _ 4,962
2 Π° Ρ‡ Π° _ 4,074
3 _ Ρ… ь Π° 3,915
4 г ӏ а л 3,870
5 а г ӏ а 3,736

5-grams (Subword):

Rank N-gram Count
1 Ρ… ΠΈ Π½ Π½ Π° 3,488
2 _ Ρ… ΠΈ Π½ Π½ 3,331
3 г ӏ а л г 3,121
4 ӏ а л г ӏ 3,119
5 а л г ӏ а 3,111

Key Findings

  • Best Perplexity: 2-gram (subword) with 374
  • Entropy Trend: Decreases with larger n-grams (more predictable)
  • Coverage: Top-1000 patterns cover ~25% 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 0.6550 1.575 3.54 50,260 34.5%
1 Subword 1.2189 2.328 9.47 622 0.0%
2 Word 0.1442 1.105 1.26 177,219 85.6%
2 Subword 1.1111 2.160 6.21 5,892 0.0%
3 Word 0.0357 1.025 1.05 221,229 96.4%
3 Subword 0.8323 1.781 3.70 36,562 16.8%
4 Word 0.0120 πŸ† 1.008 1.02 230,572 98.8%
4 Subword 0.5706 1.485 2.34 135,317 42.9%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. Π° долаш ший ΠΉΠΎΠ°Π·ΠΎΠ½Π°ΡˆΡ‚Π° юкъС лСлаш Ρ…ΡƒΠ» Ρ†Ρ…ΡŒΠ°ΠΉΠΎΠ»Ρ‡Π° Ρ…Π°Π½Π° Π΄Π΅Π½Π· Ρ†ΡƒΠ½ бизнСс дСгӏакхувлара Π΄ΡƒΠΊΡ…Π° ΠΌΠ΅Ρ…ΠΊΠ°Ρ€ΠΈΠΉ Π°ΠΌ...
  2. я Π»ΠΎΠ°ΠΌ Тӏайраха ΡˆΠ°Ρ…ΡŒΠ°Ρ€Π΅ я аьдагӏий ΠΌΠΎΡ‚Ρ‚ Ρ…ΡŒΠ΅Ρ…Π°Ρˆ Π°ΡŒΠ»Ρ‚Π΅ ΡŽΡ€Ρ‚Π° Ρ…ΡŒΠΈΡΠ°ΠΏΠ΅ ΠΌΠΎΡ‚Ρ‚ΠΈΠ³ Ρ…ΠΈΠ½Π½Π°ΠΉ ΡˆΠ΅Ρ€Π° мальсагов Π΄ΠΎΡˆΠ»Ρƒ...
  3. гӏалгӏай ΠΌΠΎΡ…ΠΊ Π±Π°ΡŒΠΊΠΊΡ…Π°Μ ва́гӏача моастагӏчунга паргӏата ΠΌΠ° Π΄Π°Ρ€Ρ€Π° Π°ΡŒΠ»Ρ‡Π° гӏалгӏаша ΠΊΡŠΠ°ΡŒΡΡ‚Ρ‚Π° ΠΊΡƒΠ±Ρ‡ΠΈΠΉ ΠΏΡ…ΡŒΠ°...

Context Size 2:

  1. Π±Π΅Π»Π³Π°Π»Π΄Π°ΠΊΠΊΡ…Π°Ρ€ Ρ‚ΣΠ°Ρ‚ΠΎΠ²ΠΆΠ°ΠΌΠ°Ρˆ Ρ‡Π΅Π±ΠΎΡ‚Π°Ρ€Π΅Π² Π° ΠΈ Ρ€ΠΎΠ±Π°ΠΊΠΈΠ΄Π·Π΅ΠΈ Π΄Π°ΡŒΡ‡Π° Ρ‚ΠΎΡ…ΠΊΠ°ΠΌΠ΅Ρ… Ρ„Π°ΡŒΠΏΠΏΠΈΠΉ ΠΊΡ…Π°ΡŒΠΊΡ…Π°Π»ΠΎΠ΅Ρ… Π΅ ӏадатСх Π° Π΅ ...
  2. гӏалгӏай ΠΌΠ΅Ρ…ΠΊΠ° ΠΏΠ°Ρ‡Ρ‡Π°Ρ…ΡŒΠ°Π»ΠΊΡŠΠ΅Π½ Ρ„ΠΈΠ»Π°Ρ€ΠΌΠΎΠ½ΠΈ Ρ…Π°ΠΌΡ…ΠΎΠΉ Π°Ρ…ΡŒΠΌΠ°Π΄Π° цӏСрагӏа я ΡŽΡ€Ρ‚ ларс Тӏайрахой Π±Π°ΡŒΡ…Π° ΠΌΠΎΡ‚Ρ‚ΠΈΠ³ ΡƒΠ»Π»...
  3. Π· Ρ…ΡŒ 590 гӏа ΡˆΠ΅Ρ€Π°Ρˆ 390 гӏа ΡˆΠ΅Ρ€Π°Ρˆ vii Π±ΣΠ°ΡŒΡˆΡƒ 600 гӏа ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ xcix

Context Size 3:

  1. Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ xxx xxix xxviii xxvii xxvi xxv xxiv xxiii xxii xxi 2
  2. ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 830 гӏа ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 7 ΡˆΡƒ i Π±ΣΠ°ΡŒΡˆΠ΅Ρ€Π°
  3. Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ

Context Size 4:

  1. ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 720 гӏа ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 50 гӏа ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π·
  2. Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ 400 гӏа ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ
  3. Π· Ρ…ΡŒ ΡˆΠ΅Ρ€Π°Ρˆ Π²Π°ΠΉ Π· Ρ…ΡŒ xiv Π±ΣΠ°ΡŒΡˆΡƒ Π²Π°ΠΉ Π· Ρ…ΡŒ Ρ‚ΣΠ°Ρ‚ΠΎΠ²ΠΆΠ°ΠΌΠ°Ρˆ

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. аш_Π΄Π½Π΄ΠΎΠ»Π΅Π³Π°_Π°Ρ„Π°Π»
  2. _ΠΊΠΎΠ°,_β€”_Β«Ρ†Ρ…ΡŒΠ΅Ρ€ΠΌΠΈ
  3. ΠΎΠ°Π»Π»Π³_пргӏС._ΠΌΠ°ΠΏ

Context Size 2:

  1. Π°_сийчСи_Π±Π΅._Ρ…ΡŒΠ°_
  2. Π°Ρ€Ρ…ΠΎΠΉΠΈΡ…Π°_худТамаӏ
  3. ӏайча_хаязыкнофи_

Context Size 3:

  1. Ρ…ΡŒΠ°Π»ΠΊΡ…Π°Ρ€_тӏа_β€”_«бӏ
  2. гӏалаходкумСнна_Π±Π°
  3. аш_Π»Π΅Π»Π°Π»_ха́ннай._Π±

Context Size 4:

  1. Π°Ρ€Π°_Π°Ρ€Π°Ρ…ΠΎΠΉ_2_ΠΎΠ±ΠΎΠ·Π½Π°
  2. Π°Ρ‡Π°_ΠΌΠ΅ΠΆΠ΄Ρƒ_ΠΈΠ·,_Π½ΠΎΡ…Ρ‡ΠΈ
  3. _Ρ…ΡŒΠ°ΡΡ…Π°Ρ‡Π°_Π±Π°Π³Π°Ρ€Π³Π°_Ρ…

Key Findings

  • Best Predictability: Context-4 (word) with 98.8% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (135,317 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 19,260
Total Tokens 235,079
Mean Frequency 12.21
Median Frequency 3
Frequency Std Dev 72.65

Most Common Words

Rank Word Frequency
1 Π° 6,393
2 я 2,455
3 гӏалгӏай 2,253
4 ΠΈΠ· 2,010
5 ΡˆΠ΅Ρ€Π° 1,966
6 Π΄Π° 1,931
7 ΠΈ 1,329
8 Π±Π΅Π»Π³Π°Π»Π΄Π°ΠΊΠΊΡ…Π°Ρ€ 1,258
9 Π² 1,233
10 тӏа 1,139

Least Common Words (from vocabulary)

Rank Word Frequency
1 ΠΎΡ€ΠΈΠ΅Π½Ρ‚Π°Π»ΡŒΠ½ΠΈ 2
2 Π±Π°Π»Ρ‚ΠΈΠΉ 2
3 лорала́ 2
4 ΠΊΡ…Π΅Ρ€Π°ΠΌΠ·Π΅ΠΈ 2
5 wie 2
6 Π΄Π°Ρ€Π±Π°Π½Ρ‡Π°Ρˆ 2
7 Π»Π΅Π³Π°Π»ΠΈΠ·Π°Ρ†ΠΈ 2
8 Ρ†Π΅Π»ΠΈΡ‚Π΅Π»ΠΈ 2
9 ΠΏΡ€Π°ΠΊΡ‚ΠΈΠΊΠ°Ρˆ 2
10 Π»ΠΎΡ€Π°Π»Π³Π°Ρ…ΡŒ 2

Zipf's Law Analysis

Metric Value
Zipf Coefficient 1.0116
RΒ² (Goodness of Fit) 0.991479
Adherence Quality excellent

Coverage Analysis

Top N Words Coverage
Top 100 28.1%
Top 1,000 59.7%
Top 5,000 82.4%
Top 10,000 91.3%

Key Findings

  • Zipf Compliance: RΒ²=0.9915 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 28.1% of corpus
  • Long Tail: 9,260 words needed for remaining 8.7% 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 0.7882 πŸ† 0.3485 N/A N/A
mono_64d 64 0.3727 0.3608 N/A N/A
mono_128d 128 0.0496 0.3296 N/A N/A
aligned_32d 32 0.7882 0.3541 0.0140 0.1220
aligned_64d 64 0.3727 0.3473 0.0180 0.1180
aligned_128d 128 0.0496 0.3275 0.0380 0.1560

Key Findings

  • Best Isotropy: mono_32d with 0.7882 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.3446. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 3.8% 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 1.160 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
-Π΄ Π΄ΠΈΠΉΡ…ΠΊΠ°, Π΄ΠΎΠ²Ρ‚Π°, Π΄Π°ΡŒΡ€ΠΆΠ°ΠΈ
-ΠΊ классификациям, ΠΊΣΠΎΡ€ΠΈΠ³Π°Π½Π°ΡŒΠΊΡŠΠ°Π½, кодСкса
-с сулак, сомали, ΡΡ‚Π°Ρ‚ΡŒΡΡˆ
-Π± Π±ΡƒΠ½Π°ΠΊ, Π±Π΅Ρ€Π°ΡˆΡ‚Π°, бСлгалъСш
-ΠΌ ΠΌΡƒΡΡƒΠ»ΡŒΠΌΠ°Π½Π°ΠΌΠΈ, ΠΌΡƒΡ…Ρ‚Π°Ρ€ΠΎΠ²Π°, ΠΌΠ°Π»ΡŒΡ‚Π°
-Π° астралС, Π°ΡŒΡ‚Ρ‚Π°, Π°ΠΌΡ…Π°Ρ€ΠΎΠΉ
-Ρ‚ Ρ‚ΣΠ°Ρ…ΡŒΠ΅Π»Ρ…Π°Ρˆ, Ρ‚Π°ΠΉΠΏΠΎΠ²ΠΎΠ³ΠΎ, Ρ‚ΠΈΠΉΠ½Π°
-Ρ…ΡŒΠ° Ρ…ΡŒΠ°Π»Ρ…Π°Π΄ΠΎΠ°Ρ…Π°Ρˆ, Ρ…ΡŒΠ°Π»Ρ…Π°ΡˆΠΊΠ°Ρ€Ρ‡Π°, Ρ…ΡŒΠ°ΡΡ‚Π°

Productive Suffixes

Suffix Examples
-Π° ΠΎΠ±Ρ‰ΠΈΠ½Π°, ΠΌΡƒΡ…Ρ‚Π°Ρ€ΠΎΠ²Π°, ΡŽΡ…Ρ…ΡŒΠ°Π½Ρ†Π°Ρ€Ρ‡Π°
-ΠΈ ΠΌΡƒΡΡƒΠ»ΡŒΠΌΠ°Π½Π°ΠΌΠΈ, ΠΆΠΈΠ³ΡƒΠ»ΠΈ, экзотСрмичСски
-ΠΉ лСзгинский, рСгулярный, Π°ΠΌΡ…Π°Ρ€ΠΎΠΉ
-аш Ρ‚ΣΠ°Ρ…ΡŒΠ΅Π»Ρ…Π°Ρˆ, воагӏаш, ΡΡ…Π°Ρ€Π°Ρˆ
-ш Ρ‚ΣΠ°Ρ…ΡŒΠ΅Π»Ρ…Π°Ρˆ, воагӏаш, ΡΡ…Π°Ρ€Π°Ρˆ
-Π΅ астралС, ΠΉΠΎΠ»Π°Π΅, ӏомадС
-ΠΈΠΉ лСзгинский, ΠΊΡŠΠ°Ρ€ΡˆΠΈΠΉ, совСтский
-Ρ‡Π° ΡŽΡ…Ρ…ΡŒΠ°Π½Ρ†Π°Ρ€Ρ‡Π°, ΠΉΠΎΠ»Π°Π»ΡƒΡ‡Π°, Ρ…ΡŒΠΎΠ³Π΄Π΅Π½Π½Π°Ρ‡Π°

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
ΠΊΠΊΡ…Π° 1.67x 69 contexts яккха, ΠΉΠΎΠΊΠΊΡ…Π°, Π°ΡŒΠΊΠΊΡ…Π°
ькъа 1.96x 30 contexts шаькъа, ӏаькъа, даькъа
Ρ…ΡŒΠ°Ρ€ 1.58x 67 contexts ΠΏΡ…ΡŒΠ°Ρ€, Ρ…ΡŒΠ°Ρ€ΠΏ, Ρ…ΡŒΠ°Ρ€ΠΌΠ΅
амаш 1.70x 45 contexts Ρ‚Π°ΠΌΠ°Ρˆ, замаш, ӏамаш
Ρ…Π°Ρ‡Π° 1.85x 28 contexts яхача, ΡƒΡ…Π°Ρ‡Π°, ΠΊΡ…Π°Ρ‡Π°
ΠΈΠ½Π½Π° 1.92x 24 contexts Ρ…ΠΈΠ½Π½Π°, шинна, Ρ…ΠΈΠ½Π½Π°Ρ€
аькъ 1.78x 30 contexts наькъ, даькъ, шаькъа
Π°ΠΊΠΊΡ… 1.89x 24 contexts Π±ΠΎΠ°ΠΊΠΊΡ…, Π²ΠΎΠ°ΠΊΠΊΡ…, Ρ‡Π°ΠΊΠΊΡ…Π΅
ΠΊΡ…Π°Ρ€ 1.70x 33 contexts ΠΊΡ…Π°Ρ€Ρ‚, Π΄Π΅ΠΊΡ…Π°Ρ€, Π°ΠΊΡ…Π°Ρ€Π΅
Π°Ρ…ΡŒΠ° 1.38x 55 contexts ΠΊΡ…Π°Ρ…ΡŒΠ°, Π°Ρ€Π°Ρ…ΡŒΠ°, Π΄Π°Ρ…ΡŒΠ°Ρˆ
Π»Π³Π°Π» 1.78x 21 contexts ΠΊΡƒΠ»Π³Π°Π», Π±Π΅Π»Π³Π°Π», Π±Π΅Π»Π³Π°Π»Π°
Ρ…ΠΈΠ½Π½ 1.93x 16 contexts Ρ…ΠΈΠ½Π½Π°, Ρ…ΠΈΠ½Π½Π°Ρ€, Ρ…ΠΈΠ½Π½Π°Π΄

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
-Π΄ -Π° 176 words Π΄Π»ΠΈΠ½Π°, Π΄Π΅ΡˆΠ°Π³Π°Ρ€Π°
-к -а 148 words кӏСзигагӏа, кСпагӏа
-Π± -Π° 110 words Π±Π°ΡŒΠ»Ρ‡Π°, Π±ΠΈΠΉΡ‚Ρ‚Π°
-ΠΌ -Π° 104 words ΠΌΠ°Π»Ρ…Π±ΠΎΠ°Π»Π΅Π³Π°, ΠΌΡƒΠΊΡ…Π°
-Π³ -Π° 91 words гӏалгӏайчСнна, Π³Π°Π»Π°ΡˆΠΊΠ°Ρ€Ρ…ΠΎΡˆΠ°
-Ρ‚ -Π° 80 words Ρ‚Π°ΠΉΠΏΠ°Ρ€Ρ‡Π°, тӏаргамара
-Π° -Π° 79 words Π°Ρ€Π°Π΄ΠΈΠΉΠ½Π°, Π°Ρ€Π°Ρ…Π΅Ρ†Π°Ρ€Ρ†Π°
-ΠΏ -Π° 67 words ΠΏΡ€ΠΈΠ½Ρ†ΠΈΠΏΠ°Ρ†Π°, ΠΏΡ€ΠΎΠΈΠ·Π²Π΅Π΄Π΅Π½Π΅ΡˆΠ°
-с -Π° 61 words сСкрСтара, сша
-ΠΊ -ΠΈ 59 words клавиши, критичСски

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
ΡˆΠΎΠ»Π»Π°Π³ΣΡ‡ΠΎΡ… ΡˆΠΎΠ»Π»Π°Π³ΣΡ‡-ΠΎ-Ρ… 7.5 ΠΎ
ΠΊΠ΅ΠΏΠ°Ρ‚Π΅Ρ…Π°Ρ‡Π° ΠΊΠ΅ΠΏΠ°Ρ‚Π΅Ρ…-Π°-Ρ‡Π° 7.5 Π°
ΠΊΡƒΠ»Π³Π°Π»Π΄Π°Ρ€Π° ΠΊΡƒΠ»Π³Π°Π»Π΄-Π°-Ρ€Π° 7.5 Π°
Π±Π°ΡŒΡ†Π°ΠΊΠΎΠΌΠ°Ρ€ Π±Π°ΡŒΡ†Π°ΠΊΠΎ-ΠΌ-Π°Ρ€ 7.5 ΠΌ
дӏатиллай дӏатилл-Π°-ΠΉ 7.5 Π°
Π½Π°ΡŒΠΊΡŠΠ°Ρ…ΠΎΠΈ Π½Π°ΡŒΠΊΡŠΠ°Ρ…-ΠΎ-ΠΈ 7.5 ΠΎ
ΠΈΡΠ±Π°Ρ…ΡŒΠ»Π΅Π½ ΠΈΡΠ±Π°Ρ…ΡŒ-Π»-Π΅Π½ 7.5 Π»
ΠΊΠΈΡ€ΠΈΠ»Π»ΠΈΡ†Π°ΠΉ ΠΊΠΈΡ€ΠΈΠ»Π»ΠΈΡ†-Π°-ΠΉ 7.5 Π°
Π»Π°Ρ‚Ρ‚Π°Π½Π΄Π°ΡŒ Π»Π°Ρ‚Ρ‚Π°Π½Π΄-Π°-ь 7.5 Π°
Π³ΣΠ°Π»Π³ΣΠ°ΡˆΠΊΠ°Ρ€Π° гӏалгӏаш-ΠΊΠ°-Ρ€Π° 7.5 ΠΊΠ°
гӏоазотаца гӏоазот-Π°-Ρ†Π° 7.5 Π°
ΠΌΠΎΡ‚Ρ‚ΠΈΠ³Π°ΡˆΠΊΠ°Ρ€Π° ΠΌΠΎΡ‚Ρ‚ΠΈΠ³Π°Ρˆ-ΠΊΠ°-Ρ€Π° 7.5 ΠΊΠ°
Ρ…ΡŒΠ°Ρ€Π°ΠΊΠ°Ρ†Π° Ρ…ΡŒΠ°Ρ€Π°-ΠΊΠ°-Ρ†Π° 7.5 ΠΊΠ°
ΠΌΠ°Π»Ρ…Π±ΠΎΠ°Π»Π΅Ρ…ΡŒΠ°ΠΈ ΠΌΠ°Π»Ρ…Π±ΠΎΠ°Π»Π΅Ρ…ΡŒ-Π°-ΠΈ 7.5 Π°
рСспубликаца рСспублик-Π°-Ρ†Π° 7.5 Π°

6.6 Linguistic Interpretation

Automated Insight: The language Ingush 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 (4.59x)
N-gram 2-gram Lowest perplexity (374)
Markov Context-4 Highest predictability (98.8%)
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 04:22:21

Downloads last month

-

Downloads are not tracked for this model. How to track
Inference Providers NEW
This model isn't deployed by any Inference Provider. πŸ™‹ Ask for provider support

Dataset used to train wikilangs/inh