Komi - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Komi 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 3.121x 3.13 0.1052% 211,919
16k 3.570x 3.58 0.1204% 185,286
32k 3.866x 3.87 0.1303% 171,084
64k 4.057x πŸ† 4.06 0.1368% 163,039

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: Бизимсё ΠΊΣ§ΠΊΡŠΡΠΌΡ‹ΡΠ΄Π°ΡΣ§Π΄ вояс - 781 восянь 790 Π²ΠΎΣ§Π΄Π·. ΠœΠ΅Π΄Ρ‹Π΄ΠΆΡ‹Π΄ Π»ΠΎΣ§ΠΌΡ‚ΠΎΡ€ΡŠΡΡ

Vocab Tokens Count
8k ▁сизим сё β–ΠΊΣ§ΠΊΡŠΡΠΌΡ‹Ρ дасӧд ▁вояс ▁- ▁ 7 8 1 ... (+9 more) 19
16k ▁сизимсё β–ΠΊΣ§ΠΊΡŠΡΠΌΡ‹ΡΠ΄Π°ΡΣ§Π΄ ▁вояс ▁- ▁ 7 8 1 β–Π²ΠΎΡΡΠ½ΡŒ ▁ ... (+7 more) 17
32k ▁сизимсё β–ΠΊΣ§ΠΊΡŠΡΠΌΡ‹ΡΠ΄Π°ΡΣ§Π΄ ▁вояс ▁- ▁ 7 8 1 β–Π²ΠΎΡΡΠ½ΡŒ ▁ ... (+7 more) 17
64k ▁сизимсё β–ΠΊΣ§ΠΊΡŠΡΠΌΡ‹ΡΠ΄Π°ΡΣ§Π΄ ▁вояс ▁- ▁ 7 8 1 β–Π²ΠΎΡΡΠ½ΡŒ ▁ ... (+7 more) 17

Sample 2: 451 ΠŸΠ°Ρ‚ΠΈΠ΅Π½Ρ‚ΠΈΡ β€” Ρ‚Π°ΠΉΣ§ Π¨ΠΎΠ½Π΄Ρ– ылдӧсын астСроид. Π‘Ρ‹Π»Σ§Π½ Ρ‹Π΄ΠΆΠ΄Π° β€” 224 ΠΊΠΌ. ΠŸΠ°Ρ‚ΠΈΠ΅Π½Ρ‚ΠΈΡ вос...

Vocab Tokens Count
8k ▁ 4 5 1 ▁п Π°Ρ‚ ΠΈ Π΅Π½Ρ‚ ия ▁— ... (+36 more) 46
16k ▁ 4 5 1 ▁пат ΠΈ Π΅Π½Ρ‚ ия ▁— ▁тайӧ ... (+32 more) 42
32k ▁ 4 5 1 ▁пат ΠΈ Снтия ▁— ▁тайӧ β–ΡˆΠΎΠ½Π΄Ρ– ... (+26 more) 36
64k ▁ 4 5 1 ▁патиСнтия ▁— ▁тайӧ β–ΡˆΠΎΠ½Π΄Ρ– ▁ылдӧсын ▁астСроид ... (+22 more) 32

Sample 3: ВюмСнь ΠΎΠ±Π»Π°ΡΡŒΡ‚ Ρ‚Π°ΠΉΣ§ Ρ€Π΅Π³ΠΈΠΎΠ½ Π ΠΎΡ‡ΠΌΡƒΡ‹Π½. Π’ΠΈΠ΄Π·Σ§Π΄Σ§ΠΉ Ρ‚ΡˆΣ§Ρ‚Ρˆ Π₯Π°Π½Ρ‚Ρ‹-Π’Σ§Π³ΡƒΠ» асвСськӧдлан ΠΊΡ‹Ρ‚Ρˆ...

Vocab Tokens Count
8k ▁т ю ΠΌΠ΅Π½ ь β–ΠΎΠ±Π»Π°ΡΡŒΡ‚ ▁тайӧ ▁рСгион ▁рочмуын . ▁видзӧдӧй ... (+16 more) 26
16k β–Ρ‚ΡŽ ΠΌΠ΅Π½ ь β–ΠΎΠ±Π»Π°ΡΡŒΡ‚ ▁тайӧ ▁рСгион ▁рочмуын . ▁видзӧдӧй β–Ρ‚ΡˆΣ§Ρ‚Ρˆ ... (+11 more) 21
32k β–Ρ‚ΡŽΠΌΠ΅Π½ΡŒ β–ΠΎΠ±Π»Π°ΡΡŒΡ‚ ▁тайӧ ▁рСгион ▁рочмуын . ▁видзӧдӧй β–Ρ‚ΡˆΣ§Ρ‚Ρˆ ▁ханты - ... (+9 more) 19
64k β–Ρ‚ΡŽΠΌΠ΅Π½ΡŒ β–ΠΎΠ±Π»Π°ΡΡŒΡ‚ ▁тайӧ ▁рСгион ▁рочмуын . ▁видзӧдӧй β–Ρ‚ΡˆΣ§Ρ‚Ρˆ ▁ханты - ... (+9 more) 19

Key Findings

  • Best Compression: 64k achieves 4.057x compression
  • Lowest UNK Rate: 8k with 0.1052% 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 4,415 12.11 14,094 22.1% 55.9%
2-gram Subword 681 πŸ† 9.41 6,463 44.2% 94.6%
3-gram Word 5,552 12.44 19,425 23.7% 51.7%
3-gram Subword 5,657 12.47 40,644 16.0% 51.0%
4-gram Word 8,996 13.14 34,620 23.6% 45.0%
4-gram Subword 24,300 14.57 169,451 9.1% 29.8%
5-gram Word 6,977 12.77 28,246 27.6% 47.7%
5-gram Subword 55,081 15.75 319,260 6.7% 22.7%

Top 5 N-grams by Size

2-grams (Word):

Rank N-gram Count
1 Σ§Π΄ Π»ΡƒΠ½ 2,382
2 рСспублики ΠΊΠΎΠΌΠΈ 1,598
3 рСспублика ΠΊΠΎΠΌΠΈ 1,394
4 сикт ΠΎΠ²ΠΌΣ§Π΄Ρ‡Σ§ΠΌΠΈΠ½ 1,392
5 ΠΊΠΎΠΌΠΈ рСспубликаса 1,281

3-grams (Word):

Rank N-gram Count
1 сыктывкар рСспублика ΠΊΠΎΠΌΠΈ 1,059
2 рСспублика ΠΊΠΎΠΌΠΈ энциклопСдия 811
3 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ 797
4 1 августа Π³ 797
5 Π½Π° 1 августа 797

4-grams (Word):

Rank N-gram Count
1 1 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ 797
2 Π½Π° 1 августа Π³ 797
3 ΠΈ Π» Π³Π΄Π΅ Ρ‚Ρ‹ 717
4 ΠΆΠ΅Ρ€Π΅Π±Ρ†ΠΎΠ² ΠΈ Π» Π³Π΄Π΅ 714
5 ΠΊΠΎΠΌΠΈ историко дСмографичСский справочник 704

5-grams (Word):

Rank N-gram Count
1 Π½Π° 1 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ 797
2 ΠΆΠ΅Ρ€Π΅Π±Ρ†ΠΎΠ² ΠΈ Π» Π³Π΄Π΅ Ρ‚Ρ‹ 714
3 рСспублики ΠΊΠΎΠΌΠΈ историко дСмографичСский справочник 704
4 ΠΏΡƒΠ½ΠΊΡ‚Ρ‹ рСспублики ΠΊΠΎΠΌΠΈ историко дСмографичСский 704
5 насСлСнныС ΠΏΡƒΠ½ΠΊΡ‚Ρ‹ рСспублики ΠΊΠΎΠΌΠΈ историко 703

2-grams (Subword):

Rank N-gram Count
1 Π° _ 76,965
2 . _ 76,956
3 _ ΠΊ 64,740
4 _ Π² 54,790
5 , _ 52,769

3-grams (Subword):

Rank N-gram Count
1 _ ΠΊ ΠΎ 26,805
2 Ρ‹ с ь 25,301
3 ъ я с 23,484
4 _ β€” _ 22,691
5 _ Π² ΠΎ 20,230

4-grams (Subword):

Rank N-gram Count
1 Ρ‹ с ь _ 16,760
2 ΠΊ ΠΎ ΠΌ ΠΈ 15,656
3 _ ΠΊ ΠΎ ΠΌ 15,118
4 ъ я с _ 13,192
5 Π» Ρ‹ с ь 12,862

5-grams (Subword):

Rank N-gram Count
1 _ ΠΊ ΠΎ ΠΌ ΠΈ 14,450
2 ΠΊ ΠΎ ΠΌ ΠΈ _ 10,888
3 Π» Ρ‹ с ь _ 9,228
4 с Ρ‹ ΠΊ Ρ‚ Ρ‹ 6,769
5 Ρ‹ ΠΊ Ρ‚ Ρ‹ Π² 6,764

Key Findings

  • Best Perplexity: 2-gram (subword) with 681
  • Entropy Trend: Decreases with larger n-grams (more predictable)
  • Coverage: Top-1000 patterns cover ~23% 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 0.6233 1.540 3.71 115,439 37.7%
1 Subword 0.4379 1.355 4.01 7,808 56.2%
2 Word 0.1549 1.113 1.31 426,513 84.5%
2 Subword 0.5508 1.465 3.55 31,340 44.9%
3 Word 0.0585 1.041 1.11 556,965 94.2%
3 Subword 0.5879 1.503 3.07 111,343 41.2%
4 Word 0.0316 πŸ† 1.022 1.06 612,330 96.8%
4 Subword 0.4947 1.409 2.22 341,894 50.5%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. ΠΊΠΎΠΌΠΈ пСрмяцко русский ΡΠ»ΠΎΠ²Π°Ρ€ΡŒ грузинского языка Ρ‡ Κ§ сі Ρ‡ΠΈ Ρ‚Ρ– vos сійӧ Π²Σ§Π»Ρ– Π»Σ§ΡΡŒΣ§Π΄Π°Π²Π½Ρ‹ каникуласигас
  2. Π΄Π° 535 morinda phyllireoides sert austro caledon 49 ΠΌ ΠΈΠ·Π΄ Π²ΠΎ 45 80 4 Π½ΡŒΡ‹Π»ΡŒ 5
  3. сыктывкар ΠΊΠΎΠΌΠΈ рСспубликаса ΠΏΠΎΡ‡Ρ‘Ρ‚Π° Π³Ρ€Π°ΠΌΠΎΡ‚Π° ΠΊΠΎΠΌΠΈ Π»ΠΈΡ‚Π΅Ρ€Π°Ρ‚ΡƒΡ€Ρ‹ ΠΈ ΠΌΡƒΠ½ΠΈΡ†ΠΈΠΏΠ°Π»ΡŒΠ½ΠΎΠ΅ устройство рСспублики ΠΊΠΎΠΌ...

Context Size 2:

  1. Σ§Π΄ Π»ΡƒΠ½ ΠΊΠΎΠΌΠΈ ΠΊΡ‹Π² автономия ΠΏΠ°Π½Ρ‹ΡΡŒΡΡ Π°ΡΡˆΣ§Ρ€Π»ΡƒΠ½ ΡˆΠ΅Π΄Σ§Π΄Σ§ΠΌΡ‹Π½ пайыс эм ΡƒΠ½Π°Π»Σ§Π½ ΠΊΡ‹Π·ΡŒΣ§Π΄ воясӧ Π²ΠΈΠ· Ρ€ΠΎΡ‡Σ§Π½ княТпог...
  2. рСспублики ΠΊΠΎΠΌΠΈ историко дСмографичСский справочник сыктывкар история ΠΊΠΎΠΌΠΈ с Π΄Ρ€Π΅Π²Π½Π΅ΠΉΡˆΠΈΡ… Π²Ρ€Π΅ΠΌΠ΅Π½ Π΄ΠΎ ΠΊΠΎ...
  3. рСспублика ΠΊΠΎΠΌΠΈ энциклопСдия Π² 3 Ρ… Ρ‚Ρ‚ Π΅ΠΌΠ²Π° Π΄Π° эТва юяс Π±ΠΎΠΊΡ‹Π½ Π½ΠΎ сикт Π³Ρ€Π΅Π·Π΄ΡŠΡΡ сикт сӧвСт

Context Size 3:

  1. сыктывкар рСспублика ΠΊΠΎΠΌΠΈ административно Ρ‚Π΅Ρ€Ρ€ΠΈΡ‚ΠΎΡ€ΠΈΠ°Π»ΡŒΠ½ΠΎΠ΅ Π΄Π΅Π»Π΅Π½ΠΈΠ΅ Π½Π° 1 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ пятоС сыкты...
  2. рСспублика ΠΊΠΎΠΌΠΈ энциклопСдия сыктывкар Ρ‚ 1 3 Ρ‹ΡΡ‚Σ§Π΄ΡŠΡΡ рСспубликалӧн ΡΠΈΠΊΡ‚ΡŠΡΡ сикт Π³Ρ€Π΅Π·Π΄ сикт ΠΎΠ²ΠΌΣ§Π΄Ρ‡Σ§ΠΌ...
  3. Π½Π° 1 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ ΡˆΠ΅ΡΡ‚ΠΎΠ΅ ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠ΅ Π³Ρƒ Ρ‚Ρ„ΠΈ Ρ€ΠΊ сыктывкар 278 с изьва ΠΌΡƒΠ»Σ§Π½ ΠΈΠ½ нимъяс топонимия

Context Size 4:

  1. 1 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ ΡˆΠ΅ΡΡ‚ΠΎΠ΅ ΠΎΡ„ΠΈΡ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠ΅ Π³Ρƒ Ρ‚Ρ„ΠΈ Ρ€ΠΊ сыктывкар 278 с сикт Π³Ρ€Π΅Π·Π΄ сикт ΠΎΠ²ΠΌΣ§Π΄Ρ‡Σ§ΠΌΠΈΠ½ Π³Ρ€Π΅Π·Π΄ΡŠΡΡ...
  2. Π½Π° 1 августа Π³ ΠΈΠ·Π΄Π°Π½ΠΈΠ΅ пятоС сыктывкар рСспублика ΠΊΠΎΠΌΠΈ энциклопСдия Π² 3 Ρ‚Ρ‚ сыктывкар Ρ‹ΡΡ‚Σ§Π΄ΡŠΡΡ вылыс ...
  3. ΠΈ Π» Π³Π΄Π΅ Ρ‚Ρ‹ ТивСшь насСлСнныС ΠΏΡƒΠ½ΠΊΡ‚Ρ‹ рСспублики ΠΊΠΎΠΌΠΈ историко дСмографичСский справочник сыктывкар ис...

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. _ктыдТӧйисСчмико
  2. Π°Π»Π»ΠΎΠΌΠ°Ρ…ΡŠΡ_ΠΌΠ»Π°Π·Π°Ρ‚
  3. сопаын_ΠΊΠΈΠ»ΠΎ_ΠΆΠ΅Π·_

Context Size 2:

  1. Π°_Ρ‚Π°Π»Σ§Π½Ρ‹_jʊ_23932
  2. ._спублавканбур_ΠΎ
  3. _ΠΊΠΌΡ‹Π½_ΡˆΠΎΠΉΠ΄ΡŠΡΡΠ»Π°Ρ‹Π½

Context Size 3:

  1. _ΠΊΠΎΠΊΠ½ΠΈΠΆΠ½Σ§ΠΉ_удТаліс
  2. Ρ‹ΡΡŒΡΡΣ§_ΡΡŒΡ‹Ρ_β€”_ΠΏΠ΅ΠΌΣ§
  3. _β€”_ΠΊΠΎΠΌΠΈ_сарина_тэ_

Context Size 4:

  1. Ρ‹ΡΡŒ_18-Σ§Π΄_Π»ΡƒΠ½_Π»ΠΎΠΈ_ΠΏ
  2. ΠΊΠΎΠΌΠΈ_ΠΌΡƒΠ·Π΅ΠΉΣ§Π½Β»,_Π°Ρ€Π°Π²
  3. _комияса_ΠΊΡ‹Π²_(tod._

Key Findings

  • Best Predictability: Context-4 (word) with 96.8% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (341,894 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 41,073
Total Tokens 725,042
Mean Frequency 17.65
Median Frequency 3
Frequency Std Dev 140.79

Most Common Words

Rank Word Frequency
1 ΠΊΠΎΠΌΠΈ 13,968
2 Π΄Π° 11,866
3 сыктывкар 5,358
4 ΠΈ 5,043
5 Π° 4,697
6 Σ§Π΄ 4,292
7 Ρ‚Σ§Π»Ρ‹ΡΡŒ 4,290
8 Π² 4,031
9 Π»ΡƒΠ½ 4,030
10 сикт 3,821

Least Common Words (from vocabulary)

Rank Word Frequency
1 Π±Ρ‹Π»ΠΈΠ½Ρ‹ 2
2 символыс 2
3 палуоя 2
4 байтэрСк 2
5 ΠΊΡƒΡ…ΠΌΠΎ 2
6 хэнкок 2
7 Ρ‚Ρ‹Ρ‡Ρ‹ 2
8 ΠΈΠ΄Π΅Π°Π» 2
9 ΡƒΠ½ΠΈΠ²Π΅Ρ€ΡΠΈΡ‚Π΅Ρ‚ΡŠΡΡΡ‹ΡΡŒ 2
10 СлюСнэ 2

Zipf's Law Analysis

Metric Value
Zipf Coefficient 1.0595
RΒ² (Goodness of Fit) 0.993095
Adherence Quality excellent

Coverage Analysis

Top N Words Coverage
Top 100 26.6%
Top 1,000 59.7%
Top 5,000 79.2%
Top 10,000 86.7%

Key Findings

  • Zipf Compliance: RΒ²=0.9931 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 26.6% of corpus
  • Long Tail: 31,073 words needed for remaining 13.3% 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 0.7808 0.3587 N/A N/A
mono_64d 64 0.5590 0.3120 N/A N/A
mono_128d 128 0.1539 0.3129 N/A N/A
aligned_32d 32 0.7808 πŸ† 0.3525 0.0260 0.1300
aligned_64d 64 0.5590 0.3133 0.0460 0.1960
aligned_128d 128 0.1539 0.3018 0.0580 0.2120

Key Findings

  • Best Isotropy: aligned_32d with 0.7808 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.3252. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 5.8% 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 1.101 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 калипсо, ΠΊΠ°ΠΊ, ΠΊΡƒΡ€Π°Ρ‚ΠΎΠ²Π°Π»Ρ‹ΡΡŒ
-с сартас, связь, сапёрнӧй
-ΠΏ ΠΏΠ΅Ρ‰Π΅Ρ€Π°Π°, пансигӧн, партияӧн
-Π² Π²ΠΎΠ»Ρ‹Π²Π»Σ§ΠΌΠ°, Π²ΠΈΡ‡Σ§Π½, Π²Ρ‹Π»ΡŒΠ½ΠΎΠ³
-ΠΌ ΠΌΡ‹ΠΆΡ‹, ΠΌΠ΅Π΄Π°ΡΡŒΠ»Ρ–ΡΠ½Ρ‹, ΠΌΠΈΡ€ΠΎΠ½
-Ρ‚ Ρ‚ΡƒΡ€ΡŒΠ΅Π², Ρ‚Ρ‹ΡˆΠΊΠ°ΡΡŒΣ§ΠΌΠ»Σ§Π½, Ρ‚Π°Ρ‹Π½
-ΠΊΠΎ комсь, ΠΊΠΎΠ»Π»ΡŒΣ§Π΄Σ§Π½Ρ‹, ΠΊΠΎΡ€Σ§ΠΌΠ°Σ§ΡΡŒ
-s semperflorens, scabrifolia, sz

Productive Suffixes

Suffix Examples
-Π½ айясыслӧн, Π²ΠΈΡ‡Σ§Π½, пансигӧн
-Π° Π²ΠΎΠ»Ρ‹Π²Π»Σ§ΠΌΠ°, ΠΆΠ°Π½Π΅Ρ‚Ρ‚Π°, ΠΏΠ΅Ρ‰Π΅Ρ€Π°Π°
-с сартас, бӧраныс, Π³Σ§Π³Σ§Ρ€ΡΡŒΡ‹Ρ
-a trullifolia, dresslerara, carinilabia
-Σ§Π½ айясыслӧн, Π²ΠΈΡ‡Σ§Π½, пансигӧн
-ь ΠΊΡƒΡ€Π°Ρ‚ΠΎΠ²Π°Π»Ρ‹ΡΡŒ, связь, ль
-яс квСнъяс, Π²ΠΎΠΉΡ‚Ρ‹Ρ€ΡŠΡΡ, гСологъяс
-сь ΠΊΡƒΡ€Π°Ρ‚ΠΎΠ²Π°Π»Ρ‹ΡΡŒ, комсь, Π»Σ§ΡΡŒΣ§Π΄Σ§ΠΌΠ»Ρ‹ΡΡŒ

6.3 Bound Stems (Lexical Roots)

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

Stem Cohesion Substitutability Examples
Π»Σ§ΠΌΠ° 2.03x 47 contexts ΠΎΠ»Σ§ΠΌΠ°, Π²Σ§Π»Σ§ΠΌΠ°, ΠΊΡ‹Π»Σ§ΠΌΠ°
Σ§Π΄Σ§ΠΌ 1.80x 62 contexts Ρ‚Σ§Π΄Σ§ΠΌ, Σ§Π»Σ§Π΄Σ§ΠΌ, ӧшӧдӧм
Ρ€ΡŠΡΡ 1.67x 76 contexts ΡƒΡ€ΡŠΡΡ, ΡŽΡ€ΡŠΡΡ, ΡŽΣ§Ρ€ΡŠΡΡ
існы 2.08x 23 contexts ΡŽΠ»Ρ–ΡΠ½Ρ‹, олісны, кулісны
ӧлыс 2.30x 15 contexts тӧлыс, пӧлыс, йӧлыс
ӧдъя 1.98x 23 contexts мӧдъяс, юкӧдъяс, инӧдъяс
дъяс 1.62x 39 contexts садъяс, андъяс, видъяс
въяс 1.62x 38 contexts ΡƒΠ²ΡŠΡΡ, овъяс, лСвъяс
ΠΎΡ‚Ρ‹Ρ€ 1.91x 21 contexts ΠΊΠΎΡ‚Ρ‹Ρ€, ΠΊΠΎΡ‚Ρ‹Ρ€Π°, ΠΊΠΎΡ‚Ρ‹Ρ€Σ§
исто 2.02x 15 contexts истор, исток, истоки
стор 1.89x 16 contexts истор, пастор, простор
ΠΊΠΎΡ‚Ρ‹ 1.93x 15 contexts ΠΊΠΎΡ‚Ρ‹Ρ€, ΠΊΠΎΡ‚Ρ‹Ρ€Π°, ΠΊΠΎΡ‚Ρ‹Ρ€Σ§

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 88 words ΠΊΠ½, ΠΊΠΈΠΏΡ€ΡƒΡˆΠ΅Π²Π»Σ§Π½
-ΠΏ -Π½ 70 words прСдприятиСяслӧн, поэмаясын
-к -а 68 words кипасалӧма, косьювомса
-с -Π½ 64 words сСмуковын, ΡΠ±ΠΎΡ€Π½ΠΈΠΊΡŠΡΡΡ‹Π½
-ΠΊ -с 64 words ΠΊΠΎΠΌΠΌΡƒΠ½ΠΈΡΡ‚ΡŠΡΡ, ΠΊΡ‹Ρ€ΡŠΡΡΡ‹Ρ
-с -Π° 61 words ставмирса, сорта
-ΠΏ -Π° 61 words ΠΏΡ‹Ρ€Σ§ΠΌΠ°, ΠΏΡ‹Π»Π°Π΅Π²Π°
-Π² -Π½ 60 words Π²Σ§Ρ€ΠΊΡƒΡ‚Π°Ρ‹Π½, Π²ΠΎΠΉΡ‹Π½
-ΠΏ -с 58 words примитіс, ΠΏΠΎΡΡ‚ΡŠΡΡΣ§Ρ
-Π² -Ρ‹ 58 words Π²ΠΎΡΡŒΡ‚Π½Ρ‹, Π²ΡƒΠ΄ΠΆΠ½Ρ‹

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
странанас страна-Π½-ас 7.5 Π½
парткомса ΠΏΠ°Ρ€Ρ‚ΠΊΠΎ-ΠΌ-са 7.5 ΠΌ
скрипкаӧн скрипк-Π°-Σ§Π½ 7.5 Π°
ΠΈΠ½ΡΡ‚ΠΈΡ‚ΡƒΡ‚Π»Ρ‹ΡΡŒ институт-Π»Ρ‹-сь 6.0 институт
Π²ΠΈΡΡŒΡ‚Π°Π²ΡΡŒΣ§ Π²ΠΈΡΡŒΡ‚Π°Π²-сь-Σ§ 6.0 Π²ΠΈΡΡŒΡ‚Π°Π²
ΠΊΠ°Π»ΡŒΣ§Π»Ρ‹ΡΡŒ кальӧ-Π»Ρ‹-сь 6.0 кальӧ
Π°Π²Ρ‚ΠΎΡ€Π»Ρ‹ΡΡŒ Π°Π²Ρ‚ΠΎΡ€-Π»Ρ‹-сь 6.0 Π°Π²Ρ‚ΠΎΡ€
Π²Π΅Ρ‚Π»Ρ‹ΡΡŒΡΡΠ»Ρ‹ Π²Π΅Ρ‚Π»Ρ‹ΡΡŒ-яс-Π»Ρ‹ 6.0 Π²Π΅Ρ‚Π»Ρ‹ΡΡŒ
войскаясӧн войска-яс-ӧн 6.0 войска
абхазияын Π°Π±Ρ…Π°Π·-ия-Ρ‹Π½ 6.0 Π°Π±Ρ…Π°Π·
Π½Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎΡΡŒΡ‚ Π½Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎ-сь-Ρ‚ 6.0 Π½Π°Ρ†ΠΈΠΎΠ½Π°Π»ΡŒΠ½ΠΎ
ΠΏΠ΅ΠΌΣ§ΡΠ»Ρ‹ΡΡŒ пСмӧс-Π»Ρ‹-сь 6.0 пСмӧс
Σ§Ρ‚ΡƒΠ²Ρ‚Ρ‡Σ§ΠΌΣ§Π½ Σ§Ρ‚ΡƒΠ²Ρ‚Ρ‡Σ§ΠΌ-Σ§Π½ 4.5 Σ§Ρ‚ΡƒΠ²Ρ‚Ρ‡Σ§ΠΌ
пСмӧсъясӧс пС-мӧсъясӧс 4.5 мӧсъясӧс
балтикаса Π±Π°Π»Ρ‚ΠΈΠΊΠ°-са 4.5 Π±Π°Π»Ρ‚ΠΈΠΊΠ°

6.6 Linguistic Interpretation

Automated Insight: The language Komi 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 (4.06x)
N-gram 2-gram Lowest perplexity (681)
Markov Context-4 Highest predictability (96.8%)
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 08:51:50

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