Lezgian - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Lezgian 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 3.556x 3.56 0.2939% 478,366
16k 3.921x 3.92 0.3241% 433,830
32k 4.233x 4.24 0.3498% 401,922
64k 4.461x πŸ† 4.46 0.3687% 381,358

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: ΠšΠ΅Ρ„Π΅Ρ€ΠΏΠ°Ρ‚Π°Π½ грисбок (Π»Π°Ρ‚. Raphicerus sharpei) β€” антилопаяр Ρ…Π·Π°Π½Π΄ΠΈΠ· Ρ‚Π°Π»ΡƒΠΊΡŒ Ρ‚ΠΈΡ€ гьа...

Vocab Tokens Count
8k ▁кСфСрпатан ▁гр ис Π±ΠΎΠΊ ▁( Π»Π°Ρ‚ . ▁r aph ic ... (+14 more) 24
16k ▁кСфСрпатан ▁гр исбок ▁( Π»Π°Ρ‚ . ▁raphicerus ▁sh ar p ... (+10 more) 20
32k ▁кСфСрпатан ▁грисбок ▁( Π»Π°Ρ‚ . ▁raphicerus ▁sharpei ) ▁— ▁антилопаяр ... (+6 more) 16
64k ▁кСфСрпатан ▁грисбок ▁( Π»Π°Ρ‚ . ▁raphicerus ▁sharpei ) ▁— ▁антилопаяр ... (+6 more) 16

Sample 2: ΠšΠΈΠ»ΠΎΠ²Π°ΜΡ‚Ρ‚-сят (ΠΊΠ’Ρ‚β‹…Ρ‡) β€” гьасил Π²Π° я ΠΊΠ°Ρ€Π΄ΠΈΠΊ ΠΊΡƒΡ‚ΡƒΠ½Π²Π°ΠΉ энСргиядин ΠΊΡŒΠ°Π΄Π°Ρ€, Π³ΡŒΠ°ΠΊΣ€Π½ΠΈ ΠΊ...

Vocab Tokens Count
8k ▁кил ΠΎΠ²Π° ́ Ρ‚ Ρ‚ - с ят ▁( ΠΊ ... (+30 more) 40
16k ▁кил ΠΎΠ²Π° ́т Ρ‚ - с ят ▁( ΠΊΠ² Ρ‚ ... (+26 more) 36
32k ▁кил ΠΎΠ²Π° ́т Ρ‚ - сят ▁( ΠΊΠ² Ρ‚ β‹… ... (+23 more) 33
64k ▁кил ΠΎΠ²Π° ́т Ρ‚ - сят ▁( ΠΊΠ²Ρ‚ β‹… Ρ‡ ... (+22 more) 32

Sample 3: йис (са Π°Π³ΡŠΠ·ΡƒΡ€Π½ΠΈ ΠΈΡ€ΠΈΠ΄Π²ΠΈΡˆΠ½ΠΈ ΡΡ…Ρ†Σ€ΡƒΡ€Π½ΠΈΡ†Σ€ΠΈΠΊΡŒΡƒΠ΄Π»Π°Π³ΡŒΠ°ΠΉ йис) β€” Ρ‡ΠΈ эрадин йис. XVIII виш...

Vocab Tokens Count
8k ▁йис ▁( са β–Π°Π³ΡŠΠ·ΡƒΡ€Π½ΠΈ β–ΠΈΡ€ΠΈΠ΄Π²ΠΈΡˆΠ½ΠΈ ▁яхцӏурницӏ ΠΈΠΊΡŒΡƒΠ΄Π»Π°Π³ΡŒΠ°ΠΉ ▁йис ) ▁— ... (+20 more) 30
16k ▁йис ▁( са β–Π°Π³ΡŠΠ·ΡƒΡ€Π½ΠΈ β–ΠΈΡ€ΠΈΠ΄Π²ΠΈΡˆΠ½ΠΈ ▁яхцӏурницӏ ΠΈΠΊΡŒΡƒΠ΄Π»Π°Π³ΡŒΠ°ΠΉ ▁йис ) ▁— ... (+20 more) 30
32k ▁йис ▁( са β–Π°Π³ΡŠΠ·ΡƒΡ€Π½ΠΈ β–ΠΈΡ€ΠΈΠ΄Π²ΠΈΡˆΠ½ΠΈ ▁яхцӏурницӏ ΠΈΠΊΡŒΡƒΠ΄Π»Π°Π³ΡŒΠ°ΠΉ ▁йис ) ▁— ... (+20 more) 30
64k ▁йис ▁( са β–Π°Π³ΡŠΠ·ΡƒΡ€Π½ΠΈ β–ΠΈΡ€ΠΈΠ΄Π²ΠΈΡˆΠ½ΠΈ ▁яхцӏурницӏ ΠΈΠΊΡŒΡƒΠ΄Π»Π°Π³ΡŒΠ°ΠΉ ▁йис ) ▁— ... (+20 more) 30

Key Findings

  • Best Compression: 64k achieves 4.461x compression
  • Lowest UNK Rate: 8k with 0.2939% 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 4,869 12.25 13,465 20.5% 52.1%
2-gram Subword 378 πŸ† 8.56 3,725 59.9% 97.5%
3-gram Word 4,928 12.27 15,118 20.8% 53.1%
3-gram Subword 2,980 11.54 29,246 23.8% 66.3%
4-gram Word 9,550 13.22 29,848 17.0% 43.5%
4-gram Subword 13,090 13.68 130,341 12.8% 40.9%
5-gram Word 8,440 13.04 24,720 17.7% 44.1%
5-gram Subword 32,189 14.97 259,667 8.8% 30.4%

Top 5 N-grams by Size

2-grams (Word):

Rank N-gram Count
1 баянар элячӏунар 1,967
2 Π΄Π°Π³ΡŠΡƒΡΡ‚Π°Π½ рСспубликадин 1,527
3 Ρ€Π°ΠΉΠΎΠ½Π΄Π° Π°Π²Π°ΠΉ 1,079
4 Ρ€Π°ΠΉΠΎΠ½Π΄ΠΈΠ½ Ρ…ΡƒΡŒΡ€Π΅Ρ€ 977
5 мусурманар я 936

3-grams (Word):

Rank N-gram Count
1 Π½Π° 1 января 911
2 суни мусурманар я 815
3 ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям 767
4 1 января Π³ 765
5 ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 741

4-grams (Word):

Rank N-gram Count
1 Π½Π° 1 января Π³ 765
2 ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 741
3 образованиям Π½Π° 1 января 740
4 ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 1 740
5 российской Ρ„Π΅Π΄Π΅Ρ€Π°Ρ†ΠΈΠΈ ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ 582

5-grams (Word):

Rank N-gram Count
1 ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 1 740
2 ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 1 января 740
3 образованиям Π½Π° 1 января Π³ 707
4 российской Ρ„Π΅Π΄Π΅Ρ€Π°Ρ†ΠΈΠΈ ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям 582
5 насСлСния российской Ρ„Π΅Π΄Π΅Ρ€Π°Ρ†ΠΈΠΈ ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ 582

2-grams (Subword):

Rank N-gram Count
1 Π½ _ 118,436
2 ΠΈ Π½ 101,992
3 Π΄ ΠΈ 90,630
4 Π² Π° 85,472
5 Π° ΠΉ 84,832

3-grams (Subword):

Rank N-gram Count
1 ΠΈ Π½ _ 77,249
2 Π΄ ΠΈ Π½ 55,033
3 Π° ΠΉ _ 41,524
4 Π° Ρ€ _ 27,897
5 Π° Π½ _ 27,614

4-grams (Subword):

Rank N-gram Count
1 Π΄ ΠΈ Π½ _ 50,137
2 Ρ… Ρƒ ь Ρ€ 18,492
3 _ Ρ… Ρƒ ь 17,463
4 _ й и с 16,780
5 Π² Π° ΠΉ _ 14,217

5-grams (Subword):

Rank N-gram Count
1 _ Ρ… Ρƒ ь Ρ€ 16,863
2 Ρ€ Π° ΠΉ ΠΎ Π½ 10,265
3 _ Ρ€ Π° ΠΉ ΠΎ 10,222
4 Π½ Π΄ ΠΈ Π½ _ 9,537
5 _ й и с а 8,563

Key Findings

  • Best Perplexity: 2-gram (subword) with 378
  • 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

Markov Entropy

Markov Contexts

Markov Branching

Results

Context Variant Avg Entropy Perplexity Branching Factor Unique Contexts Predictability
1 Word 0.7069 1.632 4.39 95,463 29.3%
1 Subword 0.9092 1.878 7.01 1,497 9.1%
2 Word 0.1745 1.129 1.35 418,311 82.5%
2 Subword 0.9040 1.871 5.60 10,485 9.6%
3 Word 0.0504 1.036 1.09 565,039 95.0%
3 Subword 0.8361 1.785 3.99 58,647 16.4%
4 Word 0.0209 πŸ† 1.015 1.04 611,226 97.9%
4 Subword 0.6051 1.521 2.51 234,119 39.5%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. Π²Π° ΠΏΡ€ΠΎΠΌΡ‹ΡˆΠ»Π΅Π½Π½ΠΎΡΡ‚Π΄ΠΈΠ½ институт я йисан эхирда Ρ„Ρ€Π°Π½Ρ†ΡƒΠ· чӏаларал манияр ΡΠ³ΡŠΡƒΠ½ΠΈΠ½ сувар ΠΊΠ²Π°Π· постановлСниС...
  2. я додрас тӏвар Π²Π°Π½ Π°Π²Π°ΠΉ Ρ…ΡƒΡŒΡ€ Π²ΠΈΡ€ΠΈ санал ишлСмиш ΠΆΠ΅Π·Π²Π°ΠΉ ΠΎΡ€Π΄ΠΆΠΎΠ½ΠΈΠΊΠΈΠ΄Π·Π΅Π΄ΠΈΠ½ Ρ‚ΣΠ²Π°Ρ€ΡƒΠ½ΠΈΡ…ΡŠ Π³Π°Π»Π°ΠΉ ΠΌΠ°ΠΊΡŠΠ°ΠΌΠ°Ρ‚Π΄ΠΈΠ½Π½...
  3. Ρ‚ΠΈΡ€ са Ρ‡ΠΈΠ»ΠΈΠ½ Π²ΠΈΠ½Π΅ Π°Π»Π° Π³Π°Π΄Π°Ρ†ΣΠΈΠΉΠΈΡ…ΡƒΡŒΡ€ΡƒΡŒΠ½ ΠΌΡΠ³ΡŒΠ»Π΅ΠΉΡ€ΠΈΠ½ тӏварар Π°Π»ΠΈΠΌΠ²ΠΈΠ»ΠΈΠ½ Π΄Π΅Ρ€Π΅ΠΆΠ°Π΄ΠΈΠ½ ΠΌΠ΅ΠΊΡ‚Π΅Π±Π°Ρ€ кӏвалахзавай ...

Context Size 2:

  1. баянар элячӏунар посСлСниС сСло яраг казмаляр Ρ€Π°ΠΉΠΎΠ½Π΄ΠΈΠ½ Ρ…ΡƒΡŒΡ€ΡƒΡŒΠ½ΡΠΎΠ²Π΅Ρ‚Π°Ρ€ Π²Π° Π°Π±ΡƒΡ€ΡƒΠΊ Π°ΠΊΠ°Ρ‚Π·Π°Π²Π°ΠΉ Ρ…ΡƒΡŒΡ€Π΅Ρ€ исп...
  2. Π΄Π°Π³ΡŠΡƒΡΡ‚Π°Π½ рСспубликадин Π³ΡŒΡƒΠΊΡƒΠΌΠ°Ρ‚Π΄ΠΈΠ½ чӏал Π°Π²Π° ΡƒΠΌΡƒΠΌΠΈ са чӏал ΠΊΡŒΠ°Π±ΡƒΠ»Π½Π°Ρ‡ΠΈΡ€ гьа Π° ΡŽΠΊΡŠΡƒΠ· Π°ΠΌ москвадин Π±Π°Π±Ρƒ...
  3. Ρ€Π°ΠΉΠΎΠ½Π΄Π° Π°Π²Π°ΠΉ Ρ‚ΡƒΠ½Π²Π°ΠΉ Ρ…ΡƒΡŒΡ€ Π±ΡƒΠ³ΡŠΠ΄Π° Ρ‚Π΅ΠΏΠ΅ тӏвар эцигнавай ΡƒΡ…Ρ‚ΠΈ Π°Ρ€Π°Π± чӏалал ΠΊΡ…ΡŒΠ΅Π½Π²Π°ΠΉ эсСррин кӏватӏал яз Ρ‡...

Context Size 3:

  1. Π½Π° 1 января Π³ 2 475 33 Ρ‡ΠΈΡΠ»Π΅Π½Π½ΠΎΡΡ‚ΡŒ постоянного насСлСния российской Ρ„Π΅Π΄Π΅Ρ€Π°Ρ†ΠΈΠΈ ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ ΠΎΠ±Ρ€Π°Π·...
  2. суни мусурманар я йисан урусат импСриядин Π°Π³ΡŒΠ°Π»ΠΈΡΡ€ сиягьдиз ΠΊΡŠΠ°Ρ‡ΡƒΠ½ΠΈΠ½ Π½Π΅Ρ‚ΠΈΠΆΠ°Π΄Π° ΡƒΡŒΠ»ΠΊΠ²Π΅Π΄Π° ΠΊΡŠΠΈΡ€ΠΈΡ†ΣΠ°Ρ€ Π°Π²Π°...
  3. ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 1 января Π³ йисан Π°Π³ΡŒΠ°Π»ΠΈΡΡ€ ΡΠΈΡΠ³ΡŒΡ€ΠΈΠ· ΠΊΡŠΠ°Ρ‡ΡƒΠ½ΠΈΠ½ Π½Π΅Ρ‚ΠΈΠΆΠ°Ρ€ΠΈΠ· ΠΊΠΈΠ»ΠΈΠ³Π½Π° Ρ…ΡƒΡŒΡ€Π΅...

Context Size 4:

  1. Π½Π° 1 января Π³ йисан Π°Π³ΡŒΠ°Π»ΠΈΡΡ€ ΡΠΈΡΠ³ΡŒΡ€ΠΈΠ· ΠΊΡŠΠ°Ρ‡ΡƒΠ½ΠΈΠ½ Π½Π΅Ρ‚ΠΈΠΆΠ°ΠΉΡ€ΠΈΠ· ΠΊΠΈΠ»ΠΈΠ³Π½Π° Ρ…ΡƒΡŒΡ€Π΅ 472 касди ΡƒΡŒΡƒΠΌΡƒΡŒΡ€ ийизвайнас...
  2. ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½Ρ‹ΠΌ образованиям Π½Π° 1 января Π³ 32 113 33 Ρ‡ΠΈΡΠ»Π΅Π½Π½ΠΎΡΡ‚ΡŒ постоянного насСлСния рСспублики Π΄...
  3. образованиям Π½Π° 1 января Π³ 54 786 35 Ρ‡ΠΈΡΠ»Π΅Π½Π½ΠΎΡΡ‚ΡŒ постоянного насСлСния российской Ρ„Π΅Π΄Π΅Ρ€Π°Ρ†ΠΈΠΈ ΠΏΠΎ ΠΌΡƒΠ½ΠΈΡ†...

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. _ΠΏΡ€_фияр_Π°ΠΉΡ‚Π°._ΠΈ
  2. Π°Π³Π΅ΠΌΠ΅Π½_Π²ΠΊΡ€Π΅Ρ€Π°Π³Π°Π³
  3. испар_Π°Ρ„Π΅Π½_ΠΉΠ½_ст

Context Size 2:

  1. Π½_Β«Ρ‚Ρ€_ста_чӏСрди_
  2. ΠΈΠ½_панчСсифар_Π°Ρ€Π²
  3. Π΄ΠΈ_Π°Π²ΡƒΠ·_ΠΊΡƒΡ‚ΡƒΡ€Π΄Π°Ρ€Π°

Context Size 3:

  1. ΠΈΠ½_ΠΈΠ±Ρ€ΠΈΠ½_Π΄ΠΈΠ΄Π΅Π»Π΅Π½ΠΎ_
  2. Π΄ΠΈΠ½_Ρ…Π°Π»ΠΊΡŒ_Ρ‚ΠΈΠΏΠΏΠ°Π΄ΠΈΠ½
  3. Π°ΠΉ_халкӏ_ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»

Context Size 4:

  1. Π΄ΠΈΠ½_ΠΏΠ΅ΡˆΠ΅Ρ€Ρ€Π°_Π°Π·Π΅Ρ€Π±Π°ΠΉ
  2. Ρ…ΡƒΡŒΡ€Π΅Ρ€_я._Π°Π΄Π°Π½_кСсп
  3. _Ρ…ΡƒΡŒΡ€ΡƒΡŒΠ½_Π°Π³ΡŒΠ°Π»ΠΈΡΡ€_Π΄

Key Findings

  • Best Predictability: Context-4 (word) with 97.9% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (234,119 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 36,658
Total Tokens 697,569
Mean Frequency 19.03
Median Frequency 3
Frequency Std Dev 143.41

Most Common Words

Rank Word Frequency
1 Π²Π° 11,171
2 я 10,219
3 Ρ‚ΠΈΡ€ 5,987
4 Π°Π²Π°ΠΉ 5,477
5 йисан 5,251
6 Ρ€Π°ΠΉΠΎΠ½Π΄ΠΈΠ½ 4,964
7 йисуз 4,832
8 Ρ…ΡƒΡŒΡ€ 4,422
9 ΠΈ 3,952
10 Π°Π³ΡŒΠ°Π»ΠΈΡΡ€ 3,896

Least Common Words (from vocabulary)

Rank Word Frequency
1 сч 2
2 ΡΠ»ΠΊΡŠΡŽΡ€ΡƒΠ½ 2
3 кюмСкдин 2
4 солфСрино 2
5 солфСринодикай 2
6 Ρ…ΠΊΠΈΠ½Π°Ρ€ 2
7 ӏӏӏ 2
8 Ρ‚ΡŽΠΊΣΡŽΡ€ΠΈΠ· 2
9 яцин 2
10 къанавдин 2

Zipf's Law Analysis

Metric Value
Zipf Coefficient 1.0501
RΒ² (Goodness of Fit) 0.994687
Adherence Quality excellent

Coverage Analysis

Top N Words Coverage
Top 100 28.8%
Top 1,000 60.5%
Top 5,000 80.5%
Top 10,000 88.1%

Key Findings

  • Zipf Compliance: RΒ²=0.9947 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 28.8% of corpus
  • Long Tail: 26,658 words needed for remaining 11.9% 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 0.8458 0.3324 N/A N/A
mono_64d 64 0.7103 0.2681 N/A N/A
mono_128d 128 0.3532 0.2524 N/A N/A
aligned_32d 32 0.8458 πŸ† 0.3332 0.0120 0.1080
aligned_64d 64 0.7103 0.2750 0.0260 0.1320
aligned_128d 128 0.3532 0.2570 0.0300 0.1680

Key Findings

  • Best Isotropy: aligned_32d with 0.8458 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.2863. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 3.0% 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 0.451 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 киривияр, ΠΊΠΎΠ»Π»Π΅ΠΊΡ‚ΠΈΠ²Π΄ΠΈ, красноярского
-Π° аспирант, Π°Π²Π°Ρ…ΡŒΠ·Π°Π²Π°ΠΉ, Π°Ρ€Ρ‚Ρ‘ΠΌ
-с смомпк, сСлСвкидрин, сидань
-ΠΌ мцСнск, ΠΌΠ°Π΄Ρ€ΠΈΠ΄Π΄Π°, ΠΌΠΈΡ€Π·Π΅Π±ΡƒΡ‚Π°ΠΉ
-Π³ Π³ΡŒΠ°ΠΏΡƒΡ‚Ρ€ΠΈΡ…ΡŠ, Π³ΡŒΠ°Π΄Π°Ρ…ΡŠ, Π³ΠΎΡ€ΠΎΠ΄Π΅
-Ρ‚ тСхничСский, Ρ‚ΡƒΡ€ΠΊΠΌΠ΅Π½Π°Ρ€, тахсиркарвилиз
-ΠΌΠ° ΠΌΠ°Π΄Ρ€ΠΈΠ΄Π΄Π°, ΠΌΠ°Π³ΡŒΠ°Ρ€Π°ΠΌΠ΄Ρ…ΡƒΡŒΡ€ΡƒΡŒΠ½, ΠΌΠ°Π»ΡƒΠΌΠ΄Π°ΠΉ
-ΠΊΠ° ΠΊΠ°Π½Π²ΠΎΠ½Π΄ΠΎ, ΠΊΠ°ΠΉΡ‚Π°Π³ΠΈ, ΠΊΠ°ΠΌΠ΅Ρ€

Productive Suffixes

Suffix Examples
-ΠΈΠ½ Ρ…ΡŠΡ‡Π°Ρ€ΠΈΠ½, Π΅Ρ€Π΅Π²Π°Π½Π΄ΠΈΠ½, сСлСвкидрин
-Π½ Ρ…ΡŠΡ‡Π°Ρ€ΠΈΠ½, Π΅Ρ€Π΅Π²Π°Π½Π΄ΠΈΠ½, шагьан
-Π° ΠΌΠ°Π΄Ρ€ΠΈΠ΄Π΄Π°, Ρ‡Π°Ρ€Π°Ρ€Π°, Ρ…Ρ‚Π°Π½Π²Π°
-ΠΈ россии, ΠΊΠΎΠ»Π»Π΅ΠΊΡ‚ΠΈΠ²Π΄ΠΈ, гвардияди
-ΠΉ ΡΠ³ΡŒΠ»ΠΈΠΉΡ€ΠΈΠ»Π°ΠΉ, тСхничСский, Π°Π²Π°Ρ…ΡŒΠ·Π°Π²Π°ΠΉ
-Π°ΠΉ ΡΠ³ΡŒΠ»ΠΈΠΉΡ€ΠΈΠ»Π°ΠΉ, Π°Π²Π°Ρ…ΡŒΠ·Π°Π²Π°ΠΉ, Π»Π΅ΠΆΠ±Π΅Ρ€Π²ΠΈΠ»Π΅Π»Π°ΠΉ
-Ρ€ Ρ‚ΡƒΡ€ΠΊΠΌΠ΅Π½Π°Ρ€, киривияр, ΡΡ€ΡƒΠΊΡŒΠ²Π°Π»Π°Ρ€
-Π°Ρ€ Ρ‚ΡƒΡ€ΠΊΠΌΠ΅Π½Π°Ρ€, ΡΡ€ΡƒΠΊΡŒΠ²Π°Π»Π°Ρ€, бизнСсмСнар

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
ияди 2.07x 37 contexts унияди, данияди, армияди
Π°Π΄ΠΈΠ½ 1.72x 58 contexts ΠΌΠ°Π΄ΠΈΠ½Π°, Ρ‡ΠΊΠ°Π΄ΠΈΠ½, эрадин
Π°Π»Π΄ΠΈ 1.74x 50 contexts Π΄Π°Π»Π΄ΠΈ, чӏалди, ΠΈΠ΄Π°Π»Π΄ΠΈ
Π°ΠΉΠΎΠ½ 2.02x 28 contexts Ρ€Π°ΠΉΠΎΠ½, Ρ€Π°ΠΉΠΎΠ½Ρ‹, Ρ€Π°ΠΉΠΎΠ½Π°
ΡƒΡŒΡ€Π΅ 1.65x 44 contexts Π³ΡƒΡŒΡ€Π΅, ΡƒΡŒΡ€Π΅Ρ€, Ρ…ΡƒΡŒΡ€Π΅
СгьС 1.78x 33 contexts зСгьС, вСгьСй, Ρ‚Π΅Π³ΡŒΠ΅Ρ€
ΡŒΡ€ΡƒΡŒ 2.06x 20 contexts Ρ…ΡƒΡŒΡ€ΡƒΡŒ, ΠΊΡƒΡŒΡ€ΡƒΡŒ, Ρ…ΡƒΡŒΡ€ΡƒΡŒΠΊ
Π½Π΄ΠΈΠ½ 1.78x 30 contexts Π΄ΠΈΠ½Π΄ΠΈΠ½, ΠΈΠΎΠ½Π΄ΠΈΠ½, Ρ„ΠΎΠ½Π΄ΠΈΠ½
Ρ€Π°ΠΉΠΎ 2.10x 17 contexts Ρ€Π°ΠΉΠΎΠ½, Ρ€Π°ΠΉΠΎΠ½Ρ‹, Ρ€Π°ΠΉΠΎΠ½Π°
зава 1.63x 39 contexts завал, язава, завай
агьа 1.52x 48 contexts агьан, багьа, шагьа
ΠΉΠΎΠ½Π΄ 2.24x 10 contexts Ρ€Π°ΠΉΠΎΠ½Π΄Π°, Ρ€Π°ΠΉΠΎΠ½Π΄ΠΈ, Ρ€Π°ΠΉΠΎΠ½Π΄Π°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
-ΠΊ -Π½ 194 words кӏвачСрин, кьакьанвилин
-ΠΊ -ΠΈΠ½ 141 words кӏвачСрин, кьакьанвилин
-ΠΊ -ΠΉ 121 words ксаривай, ΠΊΡ…ΡŒΠΈΡ€Π°Π³Ρ€ΠΈΠΊΠ°ΠΉ
-Π³ -Π½ 119 words градусдин, Π³ΡŒΠΈΠΊΠ°ΡΡ‚Π΄ΠΈΠ½
-Π° -Π½ 117 words Π°Π»ΠΈΠΌΠ΄ΠΈΠ½, астрахан
-ΠΌ -Π½ 114 words ΠΌΡƒΡŒΠ³ΡŒΡƒΡŒΠ΄ΠΈΠ½, ΠΌΡƒΡŒΠΆΡƒΡŒΠ³ΡŒΠ°Ρ„Ρ‚Π΅Ρ€Π°Π½
-ΠΊ -Ρ€ 112 words ΠΊΡŠΠ°ΠΉΠ΄Π°ΡΡ€, ΠΊΡŒΠ°Ρ€
-ΠΊ -Π° 112 words ΠΊΠ°Π½Π΄Π°, ΠΊΡƒΡŒΡ€Π΅Π΄Π°
-ΠΊ -ΠΈ 107 words конституции, ΠΊΡŠΠΈΡ€ΠΈΡ†ΣΠ²ΠΈ
-ΠΊ -Π°ΠΉ 101 words ксаривай, ΠΊΡ…ΡŒΠΈΡ€Π°Π³Ρ€ΠΈΠΊΠ°ΠΉ

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
ΠΏΠΎΠ»ΠΊΠΎΠ²Π½ΠΈΠΊ ΠΏΠΎΠ»ΠΊΠΎΠ²-Π½-ΠΈΠΊ 7.5 Π½
Ρ€Π΅ΠΊΡŒΠ΅Ρ€ΠΈΡ…ΡŠ Ρ€Π΅ΠΊΡŒΠ΅Ρ€-ΠΈ-Ρ…ΡŠ 7.5 ΠΈ
ΡƒΡŒΠ·Π±Π΅ΠΊΠΈΡΡ‚Π°Π½Π΄Π° ΡƒΡŒΠ·Π±Π΅ΠΊΠΈΡΡ‚Π°-Π½-Π΄Π° 7.5 Π½
Ρ‚ΡƒΡŒΡ…ΠΊΣΡƒΡŒΡ€ΡƒΠ½ΠΈΠ½ Ρ‚ΡƒΡŒΡ…ΠΊΣΡƒΡŒΡ€Ρƒ-Π½-ΠΈΠ½ 7.5 Π½
бизнСсмСнар бизнСсмС-Π½-Π°Ρ€ 7.5 Π½
ΠΊΡŒΡƒΡ€Π°Π³ΡŒΡ€ΠΈΠ½ ΠΊΡŒΡƒΡ€Π°Π³ΡŒ-Ρ€-ΠΈΠ½ 7.5 Ρ€
Π΄Π°Π²Π°ΠΌΠ°Ρ€Π΄Π° Π΄Π°Π²Π°ΠΌ-Π°Ρ€-Π΄Π° 7.5 Π°Ρ€
упраТнСния ΡƒΠΏΡ€Π°ΠΆΠ½Π΅-Π½-ия 7.5 Π½
футболкаяр Ρ„ΡƒΡ‚Π±ΠΎΠ»ΠΊ-Π°-яр 7.5 Π°
тӏварарик тӏвар-Π°Ρ€-ΠΈΠΊ 7.5 Π°Ρ€
Π°Π»Π°ΠΊΡŒΡƒΠ½ΠΈΠ½ Π°Π»Π°ΠΊΡŒΡƒ-Π½-ΠΈΠ½ 7.5 Π½
ΠΎΠΊΡ‚ΡΠ±Ρ€ΡŒΠ΄ΠΈΠ»Π°ΠΉ ΠΎΠΊΡ‚ΡΠ±Ρ€ΡŒΠ΄ΠΈ-Π»-Π°ΠΉ 7.5 Π»
Ρ‚ΡƒΡŒΡ…ΠΊΣΡƒΡŒΡ€Π½Π° Ρ‚ΡƒΡŒΡ…ΠΊΣΡƒΡŒΡ€-Π½-Π° 7.5 Π½
общСствСнная общСствСн-Π½-ая 7.5 Π½
Ρ‚ΡƒΡŒΠΊΣΡƒΡŒΡ€Π΄Π°Π»Π΄ΠΈ Ρ‚ΡƒΡŒΠΊΣΡƒΡŒΡ€Π΄-Π°Π»-Π΄ΠΈ 7.5 Π°Π»

6.6 Linguistic Interpretation

Automated Insight: The language Lezgian 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 (4.46x)
N-gram 2-gram Lowest perplexity (378)
Markov Context-4 Highest predictability (97.9%)
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 10:28:15

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Dataset used to train wikilangs/lez