language: inh
language_name: Ingush
language_family: caucasian_northeast
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-caucasian_northeast
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: 4.589
- name: best_isotropy
type: isotropy
value: 0.7882
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-10T00:00:00.000Z
Ingush - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Ingush Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.
📋 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 | 3.549x | 3.56 | 0.1349% | 201,601 |
| 16k | 3.935x | 3.94 | 0.1496% | 181,782 |
| 32k | 4.258x | 4.27 | 0.1619% | 168,012 |
| 64k | 4.589x 🏆 | 4.60 | 0.1745% | 155,892 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Ме́ксика ( ), официальни — Мексикахой Хетта ШтаташМИД России | | МЕКСИКА () — па...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁ме ́ кс ика ▁( ▁), ▁официальни ▁— ▁мекс ика ... (+19 more) |
29 |
| 16k | ▁ме ́ кс ика ▁( ▁), ▁официальни ▁— ▁мексика хой ... (+17 more) |
27 |
| 32k | ▁ме ́ кс ика ▁( ▁), ▁официальни ▁— ▁мексика хой ... (+16 more) |
26 |
| 64k | `▁ме́ксика ▁( ▁), ▁официальни ▁— ▁мексикахой ▁хетта ▁штаташмид ▁россии ▁ | ... (+11 more)` |
Sample 2: Нотр-Дам-де-Пари е Парижа Даьла Наьна Элгац (, ) — Париже йоалла католикий элгац...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁н от р - дам - де - п ари ... (+27 more) |
37 |
| 16k | ▁нот р - дам - де - пари ▁е ▁пари ... (+21 more) |
31 |
| 32k | ▁нот р - дам - де - пари ▁е ▁парижа ... (+20 more) |
30 |
| 64k | ▁нотр - дам - де - пари ▁е ▁парижа ▁даьла ... (+18 more) |
28 |
Sample 3: «Нийсхо» (я) () — шера гӀалгӀашкара хьаяьккха́ ГӀалме шахьар юха ГӀалгӀай Респуб...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁« нийс хо » ▁( я ) ▁() ▁— ▁шера ... (+25 more) |
35 |
| 16k | ▁« нийс хо » ▁( я ) ▁() ▁— ▁шера ... (+20 more) |
30 |
| 32k | ▁« нийсхо » ▁( я ) ▁() ▁— ▁шера ▁гӏалгӏаш ... (+17 more) |
27 |
| 64k | ▁« нийсхо » ▁( я ) ▁() ▁— ▁шера ▁гӏалгӏашкара ... (+15 more) |
25 |
Key Findings
- Best Compression: 64k achieves 4.589x compression
- Lowest UNK Rate: 8k with 0.1349% unknown tokens
- Trade-off: Larger vocabularies improve compression but increase model size
- Recommendation: 32k vocabulary provides optimal balance for production use
2. N-gram Model Evaluation
Results
| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
|---|---|---|---|---|---|---|
| 2-gram | Word | 2,700 | 11.40 | 4,486 | 18.1% | 59.8% |
| 2-gram | Subword | 374 🏆 | 8.55 | 2,693 | 59.4% | 97.6% |
| 3-gram | Word | 2,178 | 11.09 | 4,133 | 19.5% | 65.5% |
| 3-gram | Subword | 3,053 | 11.58 | 18,826 | 23.3% | 64.6% |
| 4-gram | Word | 4,659 | 12.19 | 9,587 | 15.7% | 49.4% |
| 4-gram | Subword | 14,259 | 13.80 | 75,178 | 11.2% | 36.9% |
| 5-gram | Word | 3,632 | 11.83 | 7,779 | 17.6% | 54.3% |
| 5-gram | Subword | 35,588 | 15.12 | 140,686 | 7.5% | 25.1% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | белгалдаккхар тӏатовжамаш |
415 |
| 2 | гӏалгӏай мехка |
328 |
| 3 | з хь |
315 |
| 4 | вай з |
307 |
| 5 | хьажа иштта |
255 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | вай з хь |
307 |
| 2 | шераш вай з |
232 |
| 3 | нах баха моттигаш |
153 |
| 4 | хь шераш вай |
130 |
| 5 | з хь шераш |
130 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | шераш вай з хь |
232 |
| 2 | вай з хь шераш |
130 |
| 3 | з хь шераш вай |
130 |
| 4 | хь шераш вай з |
130 |
| 5 | шахьара нах баха моттигаш |
130 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | вай з хь шераш вай |
130 |
| 2 | з хь шераш вай з |
130 |
| 3 | хь шераш вай з хь |
130 |
| 4 | шераш вай з хь шераш |
117 |
| 5 | гӏа шераш вай з хь |
100 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | а _ |
75,922 |
| 2 | а р |
27,088 |
| 3 | ӏ а |
26,314 |
| 4 | а л |
24,378 |
| 5 | р а |
24,271 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | х ь а |
13,086 |
| 2 | г ӏ а |
13,029 |
| 3 | а ш _ |
11,108 |
| 4 | р а _ |
10,332 |
| 5 | ч а _ |
9,547 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | а р а _ |
4,962 |
| 2 | а ч а _ |
4,074 |
| 3 | _ х ь а |
3,915 |
| 4 | г ӏ а л |
3,870 |
| 5 | а г ӏ а |
3,736 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | х и н н а |
3,488 |
| 2 | _ х и н н |
3,331 |
| 3 | г ӏ а л г |
3,121 |
| 4 | ӏ а л г ӏ |
3,119 |
| 5 | а л г ӏ а |
3,111 |
Key Findings
- Best Perplexity: 2-gram (subword) with 374
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~25% of corpus
- Recommendation: 4-gram or 5-gram for best predictive performance
3. Markov Chain Evaluation
Results
| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
|---|---|---|---|---|---|---|
| 1 | Word | 0.6550 | 1.575 | 3.54 | 50,260 | 34.5% |
| 1 | Subword | 1.2189 | 2.328 | 9.47 | 622 | 0.0% |
| 2 | Word | 0.1442 | 1.105 | 1.26 | 177,219 | 85.6% |
| 2 | Subword | 1.1111 | 2.160 | 6.21 | 5,892 | 0.0% |
| 3 | Word | 0.0357 | 1.025 | 1.05 | 221,229 | 96.4% |
| 3 | Subword | 0.8323 | 1.781 | 3.70 | 36,562 | 16.8% |
| 4 | Word | 0.0120 🏆 | 1.008 | 1.02 | 230,572 | 98.8% |
| 4 | Subword | 0.5706 | 1.485 | 2.34 | 135,317 | 42.9% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
а долаш ший йоазонашта юкъе лелаш хул цхьайолча хана денз цун бизнес дегӏакхувлара дукха мехкарий ам...я лоам жӏайраха шахьаре я аьдагӏий мотт хьехаш аьлте юрта хьисапе моттиг хиннай шера мальсагов дошлу...гӏалгӏай мохк баьккха́ ва́гӏача моастагӏчунга паргӏата ма дарра аьлча гӏалгӏаша къаьстта кубчий пхьа...
Context Size 2:
белгалдаккхар тӏатовжамаш чеботарев а и робакидзеи даьча тохкамех фаьппий кхаькхалоех е ӏадатех а е ...гӏалгӏай мехка паччахьалкъен филармони хамхой ахьмада цӏерагӏа я юрт ларс жӏайрахой баьха моттиг улл...з хь 590 гӏа шераш 390 гӏа шераш vii бӏаьшу 600 гӏа шераш вай з хь xcix
Context Size 3:
вай з хь шераш вай з хь xxx xxix xxviii xxvii xxvi xxv xxiv xxiii xxii xxi 2шераш вай з хь 830 гӏа шераш вай з хь шераш вай з хь 7 шу i бӏаьшераз хь шераш вай з хь шераш вай з хь шераш вай з хь шераш вай з хь
Context Size 4:
шераш вай з хь 720 гӏа шераш вай з хь 50 гӏа шераш вай з хь шераш вай зхь шераш вай з хь шераш вай з хь 400 гӏа шераш вай з хь шераш вай з хьз хь шераш вай з хь xiv бӏаьшу вай з хь тӏатовжамаш
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
аш_дндолега_афал_коа,_—_«цхьермиоаллг_пргӏе._мап
Context Size 2:
а_сийчеи_бе._хьа_архойиха_худжамаӏӏайча_хаязыкнофи_
Context Size 3:
хьалкхар_тӏа_—_«бӏгӏалаходкуменна_бааш_лелал_ха́ннай._б
Context Size 4:
ара_арахой_2_обознаача_между_из,_нохчи_хьаяхача_багарга_х
Key Findings
- Best Predictability: Context-4 (word) with 98.8% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (135,317 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 19,260 |
| Total Tokens | 235,079 |
| Mean Frequency | 12.21 |
| Median Frequency | 3 |
| Frequency Std Dev | 72.65 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | а | 6,393 |
| 2 | я | 2,455 |
| 3 | гӏалгӏай | 2,253 |
| 4 | из | 2,010 |
| 5 | шера | 1,966 |
| 6 | да | 1,931 |
| 7 | и | 1,329 |
| 8 | белгалдаккхар | 1,258 |
| 9 | в | 1,233 |
| 10 | тӏа | 1,139 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | ориентальни | 2 |
| 2 | балтий | 2 |
| 3 | лорала́ | 2 |
| 4 | кхерамзеи | 2 |
| 5 | wie | 2 |
| 6 | дарбанчаш | 2 |
| 7 | легализаци | 2 |
| 8 | целители | 2 |
| 9 | практикаш | 2 |
| 10 | лоралгахь | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.0116 |
| R² (Goodness of Fit) | 0.991479 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 28.1% |
| Top 1,000 | 59.7% |
| Top 5,000 | 82.4% |
| Top 10,000 | 91.3% |
Key Findings
- Zipf Compliance: R²=0.9915 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 28.1% of corpus
- Long Tail: 9,260 words needed for remaining 8.7% coverage
5. Word Embeddings Evaluation
5.1 Cross-Lingual Alignment
5.2 Model Comparison
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 |
|---|---|---|---|---|---|
| mono_32d | 32 | 0.7882 🏆 | 0.3485 | N/A | N/A |
| mono_64d | 64 | 0.3727 | 0.3608 | N/A | N/A |
| mono_128d | 128 | 0.0496 | 0.3296 | N/A | N/A |
| aligned_32d | 32 | 0.7882 | 0.3541 | 0.0140 | 0.1220 |
| aligned_64d | 64 | 0.3727 | 0.3473 | 0.0180 | 0.1180 |
| aligned_128d | 128 | 0.0496 | 0.3275 | 0.0380 | 0.1560 |
Key Findings
- Best Isotropy: mono_32d with 0.7882 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3446. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 3.8% R@1 in cross-lingual retrieval.
- Recommendation: 128d aligned for best cross-lingual performance
6. Morphological Analysis (Experimental)
This section presents an automated morphological analysis derived from the statistical divergence between word-level and subword-level models. By analyzing where subword predictability spikes and where word-level coverage fails, we can infer linguistic structures without supervised data.
6.1 Productivity & Complexity
| Metric | Value | Interpretation | Recommendation |
|---|---|---|---|
| Productivity Index | 5.000 | High morphological productivity | Reliable analysis |
| Idiomaticity Gap | 1.160 | High formulaic/idiomatic content | - |
6.2 Affix Inventory (Productive Units)
These are the most productive prefixes and suffixes identified by sampling the vocabulary for global substitutability patterns. A unit is considered an affix if stripping it leaves a valid stem that appears in other contexts.
Productive Prefixes
| Prefix | Examples |
|---|---|
-д |
дийхка, довта, даьржаи |
-к |
классификациям, кӏориганаькъан, кодекса |
-с |
сулак, сомали, статьяш |
-б |
бунак, берашта, белгалъеш |
-м |
мусульманами, мухтарова, мальта |
-а |
астрале, аьтта, амхарой |
-т |
тӏахьелхаш, тайпового, тийна |
-хьа |
хьалхадоахаш, хьалхашкарча, хьаста |
Productive Suffixes
| Suffix | Examples |
|---|---|
-а |
община, мухтарова, юххьанцарча |
-и |
мусульманами, жигули, экзотермически |
-й |
лезгинский, регулярный, амхарой |
-аш |
тӏахьелхаш, воагӏаш, яхараш |
-ш |
тӏахьелхаш, воагӏаш, яхараш |
-е |
астрале, йолае, ӏомаде |
-ий |
лезгинский, къарший, советский |
-ча |
юххьанцарча, йолалуча, хьогденнача |
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 |
|---|---|---|---|
ккха |
1.67x | 69 contexts | яккха, йоккха, аьккха |
ькъа |
1.96x | 30 contexts | шаькъа, ӏаькъа, даькъа |
хьар |
1.58x | 67 contexts | пхьар, хьарп, хьарме |
амаш |
1.70x | 45 contexts | тамаш, замаш, ӏамаш |
хача |
1.85x | 28 contexts | яхача, ухача, кхача |
инна |
1.92x | 24 contexts | хинна, шинна, хиннар |
аькъ |
1.78x | 30 contexts | наькъ, даькъ, шаькъа |
аккх |
1.89x | 24 contexts | боаккх, воаккх, чаккхе |
кхар |
1.70x | 33 contexts | кхарт, декхар, акхаре |
ахьа |
1.38x | 55 contexts | кхахьа, арахьа, дахьаш |
лгал |
1.78x | 21 contexts | кулгал, белгал, белгала |
хинн |
1.93x | 16 contexts | хинна, хиннар, хиннад |
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 |
|---|---|---|---|
-д |
-а |
176 words | длина, дешагара |
-к |
-а |
148 words | кӏезигагӏа, кепагӏа |
-б |
-а |
110 words | баьлча, бийтта |
-м |
-а |
104 words | малхбоалега, мукха |
-г |
-а |
91 words | гӏалгӏайченна, галашкархоша |
-т |
-а |
80 words | тайпарча, тӏаргамара |
-а |
-а |
79 words | арадийна, арахецарца |
-п |
-а |
67 words | принципаца, произведенеша |
-с |
-а |
61 words | секретара, сша |
-к |
-и |
59 words | клавиши, критически |
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 |
|---|---|---|---|
| шоллагӏчох | шоллагӏч-о-х |
7.5 | о |
| кепатехача | кепатех-а-ча |
7.5 | а |
| кулгалдара | кулгалд-а-ра |
7.5 | а |
| баьцакомар | баьцако-м-ар |
7.5 | м |
| дӏатиллай | дӏатилл-а-й |
7.5 | а |
| наькъахои | наькъах-о-и |
7.5 | о |
| исбахьлен | исбахь-л-ен |
7.5 | л |
| кириллицай | кириллиц-а-й |
7.5 | а |
| латтандаь | латтанд-а-ь |
7.5 | а |
| гӏалгӏашкара | гӏалгӏаш-ка-ра |
7.5 | ка |
| гӏоазотаца | гӏоазот-а-ца |
7.5 | а |
| моттигашкара | моттигаш-ка-ра |
7.5 | ка |
| хьаракаца | хьара-ка-ца |
7.5 | ка |
| малхбоалехьаи | малхбоалехь-а-и |
7.5 | а |
| республикаца | республик-а-ца |
7.5 | а |
6.6 Linguistic Interpretation
Automated Insight: The language Ingush shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
Note on Idiomaticity: The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (4.59x) |
| N-gram | 2-gram | Lowest perplexity (374) |
| Markov | Context-4 | Highest predictability (98.8%) |
| Embeddings | 100d | Balanced semantic capture and isotropy |
Appendix: Metrics Glossary & Interpretation Guide
This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.
Tokenizer Metrics
Compression Ratio
Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text.
Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average.
What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.
Average Token Length (Fertility)
Definition: Mean number of characters per token produced by the tokenizer.
Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length.
What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.
Unknown Token Rate (OOV Rate)
Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent.
Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences.
What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.
N-gram Model Metrics
Perplexity
Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction.
Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options.
What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.
Entropy
Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy.
Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character.
What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.
Coverage (Top-K)
Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams.
Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage.
What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.
Markov Chain Metrics
Average Entropy
Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction.
Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations).
What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.
Branching Factor
Definition: Average number of unique next tokens observed for each context.
Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive).
What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.
Predictability
Definition: Derived metric: (1 - normalized_entropy) × 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 04:22:21



















