Moksha - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

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

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 3.231x 3.23 0.1355% 438,468
16k 3.531x 3.53 0.1481% 401,156
32k 3.913x 3.92 0.1641% 362,030
64k 4.225x πŸ† 4.23 0.1772% 335,301

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: 433 ΠΊΠΈΠ·Π°. ВяддС ΠΌΠ΅Π·Π΅ ΡƒΠ»ΡŒΡΡŒ ВяддС ΡˆΠ°Ρ‡ΡΡ‚ΡŒ ВяддС ΠΊΡƒΠ»ΠΎΡΡ‚ΡŒ

Vocab Tokens Count
8k ▁ 4 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
16k ▁ 4 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
32k ▁ 4 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
64k ▁ 4 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13

Sample 2: 465 ΠΊΠΈΠ·Π°. ВяддС ΠΌΠ΅Π·Π΅ ΡƒΠ»ΡŒΡΡŒ ВяддС ΡˆΠ°Ρ‡ΡΡ‚ΡŒ ВяддС ΠΊΡƒΠ»ΠΎΡΡ‚ΡŒ

Vocab Tokens Count
8k ▁ 4 6 5 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
16k ▁ 4 6 5 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
32k ▁ 4 6 5 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
64k ▁ 4 6 5 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13

Sample 3: 233 ΠΊΠΈΠ·Π°. ВяддС ΠΌΠ΅Π·Π΅ ΡƒΠ»ΡŒΡΡŒ ВяддС ΡˆΠ°Ρ‡ΡΡ‚ΡŒ ВяддС ΠΊΡƒΠ»ΠΎΡΡ‚ΡŒ

Vocab Tokens Count
8k ▁ 2 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
16k ▁ 2 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
32k ▁ 2 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13
64k ▁ 2 3 3 ▁киза . ▁тяддС ▁мСзС β–ΡƒΠ»ΡŒΡΡŒ ▁тяддС ... (+3 more) 13

Key Findings

  • Best Compression: 64k achieves 4.225x compression
  • Lowest UNK Rate: 8k with 0.1355% unknown tokens
  • Trade-off: Larger vocabularies improve compression but increase model size
  • Recommendation: 32k vocabulary provides optimal balance for production use

2. N-gram Model Evaluation

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 2,477 11.27 10,854 30.8% 65.4%
2-gram Subword 691 πŸ† 9.43 4,360 41.1% 94.9%
3-gram Word 2,969 11.54 15,781 29.1% 63.0%
3-gram Subword 5,307 12.37 34,065 14.5% 52.9%
4-gram Word 4,572 12.16 28,280 24.9% 57.4%
4-gram Subword 19,794 14.27 143,320 9.8% 35.0%
5-gram Word 4,394 12.10 24,669 24.1% 57.6%
5-gram Subword 37,913 15.21 276,991 8.2% 30.2%

Top 5 N-grams by Size

2-grams (Word):

Rank N-gram Count
1 ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ 3,889
2 лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ 3,799
3 ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ 3,172
4 Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ 3,096
5 экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ 3,087

3-grams (Word):

Rank N-gram Count
1 лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ 3,749
2 ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ 3,086
3 экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ 3,079
4 Π³Π΅ΠΎΠ³Ρ€Π°Ρ„ΠΈΡΡΡŒ ΠΊΠ»ΠΈΠΌΠ°Ρ‚ΡΡŒ ΠΈΡΡ‚ΠΎΡ€ΠΈΡΡΡŒ 2,705
5 эряйхнС экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ 2,570

4-grams (Word):

Rank N-gram Count
1 экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ 3,071
2 эряйхнС экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ 2,565
3 лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΠΎΠ½ΡŒ 2,370
4 ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΠΎΠ½ΡŒ Π»ΠΎΠΏΠ° 2,344
5 Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ ΠΎΡˆΡ‚ ялгат 2,095

5-grams (Word):

Rank N-gram Count
1 эряйхнС экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ 2,559
2 лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΠΎΠ½ΡŒ Π»ΠΎΠΏΠ° 2,313
3 ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ ΠΎΡˆΡ‚ ялгат 2,093
4 экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ ΠΎΡˆΡ‚ 2,090
5 кизоня эряйхнС экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ 1,823

2-grams (Subword):

Rank N-gram Count
1 . _ 103,097
2 ь _ 96,627
3 , _ 55,915
4 с ь 53,283
5 _ ΠΊ 50,925

3-grams (Subword):

Rank N-gram Count
1 с ь _ 45,627
2 н ь _ 32,529
3 ь _ к 21,160
4 _ β€” _ 18,491
5 ΠΌ Π° Ρ‚ 16,761

4-grams (Subword):

Rank N-gram Count
1 а с ь _ 13,278
2 С н ь _ 13,229
3 о н ь _ 11,418
4 ΠΌ Π° Ρ‚ _ 8,971
5 с ь _ к 8,248

5-grams (Subword):

Rank N-gram Count
1 и я с ь _ 7,473
2 _ i s b n 7,317
3 i s b n _ 7,306
4 Ρ„ Ρ‚ Π° ΠΌ Π° 6,520
5 _ Π» я Ρ‚ Ρ„ 6,479

Key Findings

  • Best Perplexity: 2-gram (subword) with 691
  • Entropy Trend: Decreases with larger n-grams (more predictable)
  • Coverage: Top-1000 patterns cover ~30% of corpus
  • Recommendation: 4-gram or 5-gram for best predictive performance

3. Markov Chain Evaluation

Markov Entropy

Markov Contexts

Markov Branching

Results

Context Variant Avg Entropy Perplexity Branching Factor Unique Contexts Predictability
1 Word 0.6555 1.575 3.59 82,101 34.5%
1 Subword 1.0880 2.126 9.78 877 0.0%
2 Word 0.1207 1.087 1.29 292,280 87.9%
2 Subword 1.0621 2.088 6.70 8,573 0.0%
3 Word 0.0435 1.031 1.11 374,255 95.6%
3 Subword 0.8308 1.779 4.03 57,391 16.9%
4 Word 0.0248 πŸ† 1.017 1.06 411,850 97.5%
4 Subword 0.5684 1.483 2.42 231,406 43.2%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. isbn le figaro ΠΎΠ΄Ρ€ΠΈ Π΄Π°Π½Π° british north state corporate university of saxe gotha and the royal
  2. с isbn robert l lamb in gilbert bouriquet hrsg encyclopédie biologique band xlvi paul lechevalier pa...
  3. тяддС ΠΌΠ΅Π·Π΅ ΡƒΠ»ΡŒΡΡŒ тяддС ΠΌΠ΅Π·Π΅ ΡƒΠ»ΡŒΡΡŒ Π°ΠΏΠ°Ρ‚ΠΈΡ‚Ρ‹ ΠΊΠ½Ρ† Ρ€Π°Π½ с с энциклопСдия Π³ΠΎΡ€ΠΎΠ΄ΠΎΠ² ΠΈ мордовская инструмСнтал...

Context Size 2:

  1. ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ямусукра encyclopΓ¦dia universalis Π±Ρ€Π°ΠΉΡ‚ΠΎΠ½ internetowa encyklopedia pwn Ρ‚Ρ€ΠΎΠΌΠ±ΠΎΡ†ΠΈΡ‚...
  2. лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ΠΎΡ„ΠΈΡ†Π°Π»ΠΎΠ½ΡŒ Π»ΠΎΠΏΠ° ΠΌΠ°Ρ€Ρ‚Π²ΠΈΠ»ΠΈ georgian travel guide ΠΌΡƒΠΌΠ±Π²Π° zambia info org Π³...
  3. ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ ΠΎΡˆΡ‚ ялгат лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ кранцмастор encyclopΓ¦dia brita...

Context Size 3:

  1. лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ΠΊΠΎΠ»Π° снСгирёв ΠΌΠΎΡ€Π΄ΠΎΠ²ΠΈΡΠ½ΡŒ Π»ΠΈΡ‚Π΅Ρ€Π°Ρ‚ΡƒΡ€ΠΎΠ½ΡŒ Π±ΠΈΠ±Π»ΠΈΠΎΡ‚Π΅ΠΊ ΠΆΠΈΠ²Π°ΠΉΠΊΠΈΠ½Π°
  2. ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ ΠΎΡˆΡ‚ ялгат фотоархтофкс кяльвалсь hannu tarmio pentti papunen kalevi ko...
  3. экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ кяльвалсь Π² Π΄ Π°Π»Π΅ΠΌΠ°ΠΉΠΊΠΈΠ½Π° ΠΌΠ°Ρ‚Π΅Ρ€ΠΈΠ°Π»Ρ‹ ΠΏΠΎ языку ΠΈ Ρ„ΠΎΠ»ΡŒΠΊΠ»ΠΎΡ€Ρƒ сС...

Context Size 4:

  1. экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ содаф Π»ΠΎΠΌΠ°Ρ‚Ρ‚ΡŒ Π²ΠΈΠΊΡ‚ΠΎΡ€ Π³ΡƒΠ΄ΠΎΠΆΠ½ΠΈΠΊΠΎΠ² мокшСнь Ρ‚Π΅Π°Ρ‚Ρ€Π°Π½ΡŒ Π½Π°Π»Ρ…ΠΊΠΈΡΡŒ ...
  2. эряйхнС экономикась ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π°ΡΡŒ Ρ‚ΠΎΠ½Π°Π΄ΠΎΠΌΠ°ΡΡŒ ΡΠΏΠΎΡ€Ρ‚ΡΡŒ содаф Π»ΠΎΠΌΠ°Ρ‚Ρ‚ΡŒ ΠΎΡˆΡ‚ ялгат кяльвалсь hans h hansen Γ­s...
  3. лятфтамат ΡƒΡˆΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ ΠΊΡƒΡ‡Ρ„Ρ‚Π΅ΠΌΠ°Ρ‚ ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΠΎΠ½ΡŒ Π»ΠΎΠΏΠ° копэр geonames копэр encyclopΓ¦dia britannica копэр sto...

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. _саранСс,_ддаялэ
  2. Π°_(amise._4_ΠΊΠΎΠ±Ρƒ
  3. ΠΎΠΏΡƒΡ‚Π°ΠΉΠ½_stogeadi

Context Size 2:

  1. ._epin_Π²ΠΈΡ…_ная_с.
  2. ь_ΠΏΠΈΠ½Π½ΠΎ-ΠΌΠΎΡ€Ρ‚Π°_ΠΏΡ€Π΅
  3. ,_ine_deekonlΓ€,_Π΄

Context Size 3:

  1. сь_ΡˆΠ°Ρ‡ΡΡ‚ΡŒ_ΠΌΠ°Ρ‚ΡΡŒ_ис
  2. нь_ΠΎΡˆΡ‚ΡŒ_сёрмат_ΠΎΡ„ΠΈ
  3. ь_ΠΊΠ»ΠΈΠΌΠ°Ρ‚_Ρ„ΠΎΡ‚ΠΎΠ°Ρ€Ρ…Ρ‚ΠΎ

Context Size 4:

  1. ась_тяддС_ΠΌΠ΅Π·Π΅_ΡƒΠ»ΡŒΡ
  2. Снь_кяль_Π΄ΠΈ_сСмитиз
  3. онь_лопа_нилСнди_бо

Key Findings

  • Best Predictability: Context-4 (word) with 97.5% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (231,406 contexts)
  • Recommendation: Context-3 or Context-4 for text generation

4. Vocabulary Analysis

Zipf's Law

Top Words

Coverage Curve

Statistics

Metric Value
Vocabulary Size 34,162
Total Tokens 679,791
Mean Frequency 19.90
Median Frequency 4
Frequency Std Dev 148.72

Most Common Words

Rank Word Frequency
1 isbn 7,327
2 с 6,258
3 тяддС 5,664
4 кизоня 5,463
5 of 5,325
6 лятфтамат 5,117
7 ошсь 5,082
8 j 4,358
9 m 4,287
10 a 4,231

Least Common Words (from vocabulary)

Rank Word Frequency
1 kissinger 2
2 franziskanerkloster 2
3 eisenstadt 2
4 sΓΌdburgenlandes 2
5 forschungsgesellschaft 2
6 содафтомс 2
7 Ρ„ΠΈΡ€ΠΌΠ° 2
8 ΠΌΡƒΠ·Π΅ΠΉΠ½ΡŒ 2
9 sΓ΅lmed 2
10 pΓΌsinΓ€itus 2

Zipf's Law Analysis

Metric Value
Zipf Coefficient 1.0114
RΒ² (Goodness of Fit) 0.995653
Adherence Quality excellent

Coverage Analysis

Top N Words Coverage
Top 100 33.2%
Top 1,000 63.0%
Top 5,000 80.7%
Top 10,000 88.6%

Key Findings

  • Zipf Compliance: RΒ²=0.9957 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 33.2% of corpus
  • Long Tail: 24,162 words needed for remaining 11.4% coverage

5. Word Embeddings Evaluation

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 0.7339 0.3952 N/A N/A
mono_64d 64 0.4331 0.3884 N/A N/A
mono_128d 128 0.0795 0.3673 N/A N/A
aligned_32d 32 0.7339 πŸ† 0.3886 0.0260 0.2120
aligned_64d 64 0.4331 0.3862 0.0400 0.2520
aligned_128d 128 0.0795 0.3771 0.0480 0.3180

Key Findings

  • Best Isotropy: aligned_32d with 0.7339 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.3838. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 4.8% R@1 in cross-lingual retrieval.
  • Recommendation: 128d aligned for best cross-lingual performance

6. Morphological Analysis (Experimental)

This section presents an automated morphological analysis derived from the statistical divergence between word-level and subword-level models. By analyzing where subword predictability spikes and where word-level coverage fails, we can infer linguistic structures without supervised data.

6.1 Productivity & Complexity

Metric Value Interpretation Recommendation
Productivity Index 5.000 High morphological productivity Reliable analysis
Idiomaticity Gap 0.907 High formulaic/idiomatic content -

6.2 Affix Inventory (Productive Units)

These are the most productive prefixes and suffixes identified by sampling the vocabulary for global substitutability patterns. A unit is considered an affix if stripping it leaves a valid stem that appears in other contexts.

Productive Prefixes

Prefix Examples
-ΠΊ косач, ΠΊΠ°Π±ΠΎΠΌΠΏΠ°, ΠΊΠ΅ΠΌΠ΅Ρ€ΠΎΠ²Π°
-s streda, suur, springfield
-с своСобразиС, свэдру, сёксСнда
-ΠΏ пянакуд, ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΠ°, палуоя
-a alainii, arietinum, auxopus
-Π° асмара, аля, Π°Π½Ρ‚Ρ€ΠΎΠΏΠΎΠΌΠΎΡ€Ρ„ΠΈΠ·ΠΌΠ°ΡΡŒ
-p pallas, pelican, primulinum
-m museer, montigena, modestissima

Productive Suffixes

Suffix Examples
-ь ΠΌΡ‹ΡΠ»ΡŒ, Ρ‚Π°Ρ€Π½Π°ΠΌΠ°ΡΡŒ, ΠΌΠ°ΠΊΡΡ„ΠΎΠ»ΡŒ
-Π° валста, асмара, ΠΊΠ°Π±ΠΎΠΌΠΏΠ°
-a montigena, streda, modestissima
-нь ΠΌΠΎΠ΄Π°Ρ‚Π½Π΅Π½ΡŒ, Π²Π΅Π½Π³Π΅Ρ€ΠΎΠ½ΡŒ, ΠΌΠΎΡ€Π΄Π²Π°Π½ΡŒ
-s pallas, inputs, dupuis
-сь Ρ‚Π°Ρ€Π½Π°ΠΌΠ°ΡΡŒ, ΠΏΠ΅Ρ€ΡŒΡ„ΠΏΡΠ»ΡŒΡΡŒ, Π°Π½Ρ‚Ρ€ΠΎΠΏΠΎΠΌΠΎΡ€Ρ„ΠΈΠ·ΠΌΠ°ΡΡŒ
-e balansae, rice, livermore
-n volkstrachten, wan, erzΓ€hlungen

6.3 Bound Stems (Lexical Roots)

Bound stems are high-frequency subword units that are semantically cohesive but rarely appear as standalone words. These often correspond to the 'core' of a word that requires inflection or derivation to be valid.

Stem Cohesion Substitutability Examples
Ρ‚ΠΎΡ€ΠΈ 1.92x 23 contexts история, истории, Π°Ρ€Ρ‚ΠΎΡ€ΠΈΠΌΠ°
мась 1.98x 19 contexts юмась, Ρ‚ΡƒΠΌΠ°ΡΡŒ, амасья
ΠΊΠΈΠ·ΠΎ 1.97x 16 contexts ΠΊΠΈΠ·ΠΎΡ‚, ΠΊΠΈΠ·ΠΎΡ†, кизос
асто 1.74x 23 contexts астон, мастор, вастоц
ΡŒΡ‚ΡƒΡ€ 1.95x 16 contexts ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€, ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Ρ‹, ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€Π΅
ΠΎΠ³Ρ€Π° 1.62x 27 contexts Π±ΠΈΠΎΠ³Ρ€Π°Π΄, бэоград, Π³Π΅ΠΎΠ³Ρ€Π°Ρ„Π°
мокш 1.86x 17 contexts мокши, мокша, ΠΌΠΎΠΊΡˆΠ΅Ρ‚
tion 1.88x 16 contexts tiona, nation, motion
омас 1.74x 15 contexts томас, азомась, явомась
ΡƒΠ»ΡŒΡ‚ 1.94x 11 contexts ΠΊΡƒΠ»ΡŒΡ‚, ΠΊΡƒΠ»ΡŒΡ‚ΡΡŒ, ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€
Ρ„ΠΎΠ»ΡŒ 1.92x 11 contexts Π°Ρ„ΠΎΠ»ΡŒ, ΡΠ²Ρ„ΠΎΠ»ΡŒ, Ρ‚ΠΈΡ„ΠΎΠ»ΡŒ
исто 1.83x 11 contexts истоки, кристоз, история

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 -ь 132 words ΠΊΠΎΡ€ΠΎΠ»ΡŒΡΡŒ, ΠΊΠ°Ρ‡Π°ΠΌΡΡŒ
-ΠΏ -ь 97 words ΠΏΠΈΡ‡Π΅Π½ΡŒ, позань
-ΠΊ -Π° 88 words койса, кстова
-с -ь 80 words ΡΡ‚Ρ€Π΅Π»Π΅Ρ†Π½Π΅Π½ΡŒ, ΡΠΎΠ±ΠΎΡ€ΡΡŒ
-а -ь 74 words аннополь, алсь
-s -a 65 words susanna, secunda
-a -a 62 words asta, acuminata
-ΠΌ -ь 60 words макссСсь, ΠΌΠ°Ρ€ΡΡΠ»ΡŒ
-p -a 58 words paradoxa, pandurifera
-ΠΊ -нь 54 words книгань, ΠΊΠ΅Π»ΡŒΠΌΠ΅ΡˆΠΈΡ€Π΅Π½ΡŒ

6.5 Recursive Morpheme Segmentation

Using Recursive Hierarchical Substitutability, we decompose complex words into their constituent morphemes. This approach handles nested affixes (e.g., prefix-prefix-root-suffix).

Word Suggested Split Confidence Stem
kotschyana kotschy-a-na 7.5 a
Ρ€Π΅Π³ΠΈΠΎΠ½Ρ‚Π½Π΅ Ρ€Π΅Π³ΠΈΠΎΠ½-Ρ‚-Π½Π΅ 7.5 Ρ‚
stanislovas stanislov-a-s 7.5 a
retrieved retriev-e-d 7.5 e
bafoussam bafouss-a-m 7.5 a
экономиконь экономик-о-нь 7.5 о
orchidaceous orchidace-o-us 7.5 o
nationalism national-is-m 6.0 national
ΡΡ‘Ρ€ΠΌΠ°Π΄Ρ‹Π΅Π½ΡŒ сёрмады-Π΅-нь 6.0 сёрмады
вСлСнятнС вСлСнят-Π½Π΅ 4.5 вСлСнят
вологдань вологда-нь 4.5 вологда
монголиянь монголия-нь 4.5 монголия
ΡΡ‘Ρ€ΠΌΠ°Π΄Ρ‹Ρ‚ΡŒ сёрмады-Ρ‚ΡŒ 4.5 сёрмады
transformations transformation-s 4.5 transformation
alphabets alphabet-s 4.5 alphabet

6.6 Linguistic Interpretation

Automated Insight: The language Moksha shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.

Note on Idiomaticity: The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts.


7. Summary & Recommendations

Performance Dashboard

Production Recommendations

Component Recommended Rationale
Tokenizer 64k BPE Best compression (4.23x)
N-gram 2-gram Lowest perplexity (691)
Markov Context-4 Highest predictability (97.5%)
Embeddings 100d Balanced semantic capture and isotropy

Appendix: Metrics Glossary & Interpretation Guide

This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.

Tokenizer Metrics

Compression Ratio

Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text.

Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average.

What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.

Average Token Length (Fertility)

Definition: Mean number of characters per token produced by the tokenizer.

Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length.

What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.

Unknown Token Rate (OOV Rate)

Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent.

Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences.

What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.

N-gram Model Metrics

Perplexity

Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction.

Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options.

What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.

Entropy

Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy.

Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character.

What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.

Coverage (Top-K)

Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams.

Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage.

What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.

Markov Chain Metrics

Average Entropy

Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction.

Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations).

What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.

Branching Factor

Definition: Average number of unique next tokens observed for each context.

Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive).

What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.

Predictability

Definition: Derived metric: (1 - normalized_entropy) Γ— 100%. Indicates how deterministic the model's predictions are.

Intuition: 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes.

What to seek: Higher predictability for text generation quality, but too high (>98%) may produce repetitive output.

Vocabulary & Zipf's Law Metrics

Zipf's Coefficient

Definition: The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1.

Intuition: A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare.

What to seek: Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text.

RΒ² (Coefficient of Determination)

Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.

Intuition: RΒ² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.

What to seek: RΒ² > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora.

Vocabulary Coverage

Definition: Cumulative percentage of corpus tokens accounted for by the top N words.

Intuition: Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words.

What to seek: Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary.

Word Embedding Metrics

Isotropy

Definition: Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values.

Intuition: High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness.

What to seek: Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy.

Average Norm

Definition: Mean magnitude (L2 norm) of word vectors in the embedding space.

Intuition: Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained.

What to seek: Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation).

Cosine Similarity

Definition: Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction).

Intuition: Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings.

What to seek: Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7.

t-SNE Visualization

Definition: t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization.

Intuition: Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence.

What to seek: Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure.

General Interpretation Guidelines

  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 11:39:40

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