language: kv
language_name: Komi
language_family: uralic_permian
tags:
- wikilangs
- nlp
- tokenizer
- embeddings
- n-gram
- markov
- wikipedia
- feature-extraction
- sentence-similarity
- tokenization
- n-grams
- markov-chain
- text-mining
- fasttext
- babelvec
- vocabulous
- vocabulary
- monolingual
- family-uralic_permian
license: mit
library_name: wikilangs
pipeline_tag: text-generation
datasets:
- omarkamali/wikipedia-monthly
dataset_info:
name: wikipedia-monthly
description: Monthly snapshots of Wikipedia articles across 300+ languages
metrics:
- name: best_compression_ratio
type: compression
value: 4.057
- name: best_isotropy
type: isotropy
value: 0.7808
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-10T00:00:00.000Z
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.
📋 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
Analysis and Evaluation
- 1. Tokenizer Evaluation
- 2. N-gram Model Evaluation
- 3. Markov Chain Evaluation
- 4. Vocabulary Analysis
- 5. Word Embeddings Evaluation
- 6. Morphological Analysis (Experimental)
- 7. Summary & Recommendations
- Metrics Glossary
- Visualizations Index
1. Tokenizer Evaluation
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 🏆 | 4.06 | 0.1368% | 163,039 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Сизимсё кӧкъямысдасӧд вояс - 781 восянь 790 воӧдз. Медыджыд лоӧмторъяс
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁сизим сё ▁кӧкъямыс дасӧд ▁вояс ▁- ▁ 7 8 1 ... (+9 more) |
19 |
| 16k | ▁сизимсё ▁кӧкъямысдасӧд ▁вояс ▁- ▁ 7 8 1 ▁восянь ▁ ... (+7 more) |
17 |
| 32k | ▁сизимсё ▁кӧкъямысдасӧд ▁вояс ▁- ▁ 7 8 1 ▁восянь ▁ ... (+7 more) |
17 |
| 64k | ▁сизимсё ▁кӧкъямысдасӧд ▁вояс ▁- ▁ 7 8 1 ▁восянь ▁ ... (+7 more) |
17 |
Sample 2: 451 Патиентия — тайӧ Шонді ылдӧсын астероид. Сылӧн ыджда — 224 км. Патиентия вос...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁ 4 5 1 ▁п ат и ент ия ▁— ... (+36 more) |
46 |
| 16k | ▁ 4 5 1 ▁пат и ент ия ▁— ▁тайӧ ... (+32 more) |
42 |
| 32k | ▁ 4 5 1 ▁пат и ентия ▁— ▁тайӧ ▁шонді ... (+26 more) |
36 |
| 64k | ▁ 4 5 1 ▁патиентия ▁— ▁тайӧ ▁шонді ▁ылдӧсын ▁астероид ... (+22 more) |
32 |
Sample 3: Тюмень обласьт тайӧ регион Рочмуын. Видзӧдӧй тшӧтш Ханты-Вӧгул асвеськӧдлан кытш...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁т ю мен ь ▁обласьт ▁тайӧ ▁регион ▁рочмуын . ▁видзӧдӧй ... (+16 more) |
26 |
| 16k | ▁тю мен ь ▁обласьт ▁тайӧ ▁регион ▁рочмуын . ▁видзӧдӧй ▁тшӧтш ... (+11 more) |
21 |
| 32k | ▁тюмень ▁обласьт ▁тайӧ ▁регион ▁рочмуын . ▁видзӧдӧй ▁тшӧтш ▁ханты - ... (+9 more) |
19 |
| 64k | ▁тюмень ▁обласьт ▁тайӧ ▁регион ▁рочмуын . ▁видзӧдӧй ▁тшӧтш ▁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
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 🏆 | 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 | ӧд лун |
2,382 |
| 2 | республики коми |
1,598 |
| 3 | республика коми |
1,394 |
| 4 | сикт овмӧдчӧмин |
1,392 |
| 5 | коми республикаса |
1,281 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | сыктывкар республика коми |
1,059 |
| 2 | республика коми энциклопедия |
811 |
| 3 | августа г издание |
797 |
| 4 | 1 августа г |
797 |
| 5 | на 1 августа |
797 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | 1 августа г издание |
797 |
| 2 | на 1 августа г |
797 |
| 3 | и л где ты |
717 |
| 4 | жеребцов и л где |
714 |
| 5 | коми историко демографический справочник |
704 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | на 1 августа г издание |
797 |
| 2 | жеребцов и л где ты |
714 |
| 3 | республики коми историко демографический справочник |
704 |
| 4 | пункты республики коми историко демографический |
704 |
| 5 | населенные пункты республики коми историко |
703 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | а _ |
76,965 |
| 2 | . _ |
76,956 |
| 3 | _ к |
64,740 |
| 4 | _ в |
54,790 |
| 5 | , _ |
52,769 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ к о |
26,805 |
| 2 | ы с ь |
25,301 |
| 3 | ъ я с |
23,484 |
| 4 | _ — _ |
22,691 |
| 5 | _ в о |
20,230 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ы с ь _ |
16,760 |
| 2 | к о м и |
15,656 |
| 3 | _ к о м |
15,118 |
| 4 | ъ я с _ |
13,192 |
| 5 | л ы с ь |
12,862 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ к о м и |
14,450 |
| 2 | к о м и _ |
10,888 |
| 3 | л ы с ь _ |
9,228 |
| 4 | с ы к т ы |
6,769 |
| 5 | ы к т ы в |
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
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 🏆 | 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:
коми пермяцко русский словарь грузинского языка ч ʧ сі чи ті vos сійӧ вӧлі лӧсьӧдавны каникуласигасда 535 morinda phyllireoides sert austro caledon 49 м изд во 45 80 4 ньыль 5сыктывкар коми республикаса почёта грамота коми литературы и муниципальное устройство республики ком...
Context Size 2:
ӧд лун коми кыв автономия панысьяс асшӧрлун шедӧдӧмын пайыс эм уналӧн кызьӧд воясӧ виз рочӧн княжпог...республики коми историко демографический справочник сыктывкар история коми с древнейших времен до ко...республика коми энциклопедия в 3 х тт емва да эжва юяс бокын но сикт грездъяс сикт сӧвет
Context Size 3:
сыктывкар республика коми административно территориальное деление на 1 августа г издание пятое сыкты...республика коми энциклопедия сыктывкар т 1 3 ыстӧдъяс республикалӧн сиктъяс сикт грезд сикт овмӧдчӧм...на 1 августа г издание шестое официальное гу тфи рк сыктывкар 278 с изьва мулӧн ин нимъяс топонимия
Context Size 4:
1 августа г издание шестое официальное гу тфи рк сыктывкар 278 с сикт грезд сикт овмӧдчӧмин грездъяс...на 1 августа г издание пятое сыктывкар республика коми энциклопедия в 3 тт сыктывкар ыстӧдъяс вылыс ...и л где ты живешь населенные пункты республики коми историко демографический справочник сыктывкар ис...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_ктыджӧйисечмикоалломахъя_млазатсопаын_кило_жез_
Context Size 2:
а_талӧны_jʊ_23932._спублавканбур_о_кмын_шойдъяслаын
Context Size 3:
_кокнижнӧй_уджалісысьясӧ_сьыс_—_пемӧ_—_коми_сарина_тэ_
Context Size 4:
ысь_18-ӧд_лун_лои_пкоми_музейӧн»,_арав_комияса_кыв_(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
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 | коми | 13,968 |
| 2 | да | 11,866 |
| 3 | сыктывкар | 5,358 |
| 4 | и | 5,043 |
| 5 | а | 4,697 |
| 6 | ӧд | 4,292 |
| 7 | тӧлысь | 4,290 |
| 8 | в | 4,031 |
| 9 | лун | 4,030 |
| 10 | сикт | 3,821 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | былины | 2 |
| 2 | символыс | 2 |
| 3 | палуоя | 2 |
| 4 | байтэрек | 2 |
| 5 | кухмо | 2 |
| 6 | хэнкок | 2 |
| 7 | тычы | 2 |
| 8 | идеал | 2 |
| 9 | университетъясысь | 2 |
| 10 | елюенэ | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.0595 |
| R² (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: R²=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
5.1 Cross-Lingual Alignment
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 🏆 | 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 |
|---|---|
-к |
калипсо, как, куратовалысь |
-с |
сартас, связь, сапёрнӧй |
-п |
пещераа, пансигӧн, партияӧн |
-в |
волывлӧма, вичӧн, выльног |
-м |
мыжы, медасьлісны, мирон |
-т |
турьев, тышкасьӧмлӧн, таын |
-ко |
комсь, колльӧдӧны, корӧмаӧсь |
-s |
semperflorens, scabrifolia, sz |
Productive Suffixes
| Suffix | Examples |
|---|---|
-н |
айясыслӧн, вичӧн, пансигӧн |
-а |
волывлӧма, жанетта, пещераа |
-с |
сартас, бӧраныс, гӧгӧрсьыс |
-a |
trullifolia, dresslerara, carinilabia |
-ӧн |
айясыслӧн, вичӧн, пансигӧн |
-ь |
куратовалысь, связь, ль |
-яс |
квенъяс, войтыръяс, геологъяс |
-сь |
куратовалысь, комсь, лӧсьӧдӧмлысь |
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 |
|---|---|---|---|
лӧма |
2.03x | 47 contexts | олӧма, вӧлӧма, кылӧма |
ӧдӧм |
1.80x | 62 contexts | тӧдӧм, ӧлӧдӧм, ӧшӧдӧм |
ръяс |
1.67x | 76 contexts | уръяс, юръяс, юӧръяс |
існы |
2.08x | 23 contexts | юлісны, 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 | увъяс, овъяс, левъяс |
отыр |
1.91x | 21 contexts | котыр, котыра, котырӧ |
исто |
2.02x | 15 contexts | истор, исток, истоки |
стор |
1.89x | 16 contexts | истор, пастор, простор |
коты |
1.93x | 15 contexts | котыр, котыра, котырӧ |
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 |
|---|---|---|---|
-к |
-н |
88 words | кн, кипрушевлӧн |
-п |
-н |
70 words | предприятиеяслӧн, поэмаясын |
-к |
-а |
68 words | кипасалӧма, косьювомса |
-с |
-н |
64 words | семуковын, сборникъясын |
-к |
-с |
64 words | коммунистъяс, кыръясыс |
-с |
-а |
61 words | ставмирса, сорта |
-п |
-а |
61 words | пырӧма, пылаева |
-в |
-н |
60 words | вӧркутаын, войын |
-п |
-с |
58 words | примитіс, поэтъясӧс |
-в |
-ы |
58 words | восьтны, вуджны |
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-н-ас |
7.5 | н |
| парткомса | партко-м-са |
7.5 | м |
| скрипкаӧн | скрипк-а-ӧн |
7.5 | а |
| институтлысь | институт-лы-сь |
6.0 | институт |
| висьтавсьӧ | висьтав-сь-ӧ |
6.0 | висьтав |
| кальӧлысь | кальӧ-лы-сь |
6.0 | кальӧ |
| авторлысь | автор-лы-сь |
6.0 | автор |
| ветлысьяслы | ветлысь-яс-лы |
6.0 | ветлысь |
| войскаясӧн | войска-яс-ӧн |
6.0 | войска |
| абхазияын | абхаз-ия-ын |
6.0 | абхаз |
| национальносьт | национально-сь-т |
6.0 | национально |
| пемӧслысь | пемӧс-лы-сь |
6.0 | пемӧс |
| ӧтувтчӧмӧн | ӧтувтчӧм-ӧн |
4.5 | ӧтувтчӧм |
| пемӧсъясӧс | пе-мӧсъясӧс |
4.5 | мӧсъясӧс |
| балтикаса | балтика-са |
4.5 | балтика |
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
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) × 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.
R² (Coefficient of Determination)
Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
Intuition: R² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
What to seek: R² > 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
- Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
- Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
- Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
- Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
- 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
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
- 🌐 Website: wikilangs.org
- 🤗 Models: huggingface.co/wikilangs
- 📊 Data: wikipedia-monthly
- 👤 Author: Omar Kamali
- 🤝 Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-10 08:51:50



















