README.md

metadata

language: xmf
language_name: Mingrelian
language_family: kartvelian
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-kartvelian
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: 4.27
  - name: best_isotropy
    type: isotropy
    value: 0.8723
  - name: vocabulary_size
    type: vocab
    value: 0
generated: 2026-01-11T00:00:00.000Z

Mingrelian - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Mingrelian 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	3.307x	3.31	0.0486%	395,121
16k	3.672x	3.68	0.0540%	355,865
32k	3.993x	4.00	0.0587%	327,283
64k	4.270x 🏆	4.27	0.0627%	306,011

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: — ახალი წანეფიშ ეჭარუაშახ 821 წანა. მოლინეფი დუნაბადი ნაღურა კატეგორია:

Vocab	Tokens	Count
8k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 8 2 1 ▁წანა . ... (+5 more)	15
16k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 8 2 1 ▁წანა . ... (+5 more)	15
32k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 8 2 1 ▁წანა . ... (+5 more)	15
64k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 8 2 1 ▁წანა . ... (+5 more)	15

Sample 2: წანა — ჯვ. წ. XIII ოშწანურაშ ჯვ. წ. რანწკო 4-ა წანა. ახალი წანეფიშ ეჭარუაშახ წან...

Vocab	Tokens	Count
8k	▁წანა ▁— ▁ჯვ . ▁წ . ▁xiii ▁ოშწანურაშ ▁ჯვ . ... (+19 more)	29
16k	▁წანა ▁— ▁ჯვ . ▁წ . ▁xiii ▁ოშწანურაშ ▁ჯვ . ... (+19 more)	29
32k	▁წანა ▁— ▁ჯვ . ▁წ . ▁xiii ▁ოშწანურაშ ▁ჯვ . ... (+19 more)	29
64k	▁წანა ▁— ▁ჯვ . ▁წ . ▁xiii ▁ოშწანურაშ ▁ჯვ . ... (+19 more)	29

Sample 3: — ახალი წანეფიშ ეჭარუაშახ 319 წანა. მოლინეფი დუნაბადი ნაღურა კატეგორია:

Vocab	Tokens	Count
8k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 3 1 9 ▁წანა . ... (+5 more)	15
16k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 3 1 9 ▁წანა . ... (+5 more)	15
32k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 3 1 9 ▁წანა . ... (+5 more)	15
64k	▁— ▁ახალი ▁წანეფიშ ▁ეჭარუაშახ ▁ 3 1 9 ▁წანა . ... (+5 more)	15

Key Findings

• Best Compression: 64k achieves 4.270x compression
• Lowest UNK Rate: 8k with 0.0486% 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	14,545	13.83	37,338	12.9%	33.4%
2-gram	Subword	483 🏆	8.92	6,848	54.1%	96.3%
3-gram	Word	14,526	13.83	36,176	13.3%	35.0%
3-gram	Subword	4,386	12.10	52,208	19.0%	58.2%
4-gram	Word	20,697	14.34	53,331	13.3%	31.9%
4-gram	Subword	24,158	14.56	264,428	8.9%	31.2%
5-gram	Word	12,424	13.60	34,098	17.4%	37.8%
5-gram	Subword	76,448	16.22	649,486	5.5%	20.9%

Top 5 N-grams by Size

2-grams (Word):

Rank	N-gram	Count
1	რესურსეფი ინტერნეტის	10,643
2	ჯვ წ	2,869
3	ართ ართი	2,539
4	of the	2,084
5	ქოძირით თაშნეშე	1,913

3-grams (Word):

Rank	N-gram	Count
1	მოლინეფი დუნაბადი ნაღურა	1,341
2	დუნაბადი ნაღურა კატეგორია	1,341
3	ახალი წანეფიშ ეჭარუაშახ	1,200
4	წანა მოლინეფი დუნაბადი	1,191
5	ოფიციალური ვებ ხასჷლა	717

4-grams (Word):

Rank	N-gram	Count
1	მოლინეფი დუნაბადი ნაღურა კატეგორია	1,336
2	წანა მოლინეფი დუნაბადი ნაღურა	1,191
3	ღურთუთა ფურთუთა მელახი პირელი	660
4	ფურთუთა მელახი პირელი მესი	658
5	ეკენია გჷმათუთა გერგობათუთა ქირსეთუთა	656

5-grams (Word):

Rank	N-gram	Count
1	წანა მოლინეფი დუნაბადი ნაღურა კატეგორია	1,191
2	ღურთუთა ფურთუთა მელახი პირელი მესი	654
3	ფურთუთა მელახი პირელი მესი მანგი	647
4	მელახი პირელი მესი მანგი კვირკვე	646
5	მანგი კვირკვე მარაშინათუთა ეკენია გჷმათუთა	642

2-grams (Subword):

Rank	N-gram	Count
1	ი _	316,429
2	შ _	280,108
3	ა ნ	206,994
4	ა რ	189,457
5	რ ი	178,820

3-grams (Subword):

Rank	N-gram	Count
1	ი შ _	142,356
2	ე ფ ი	121,504
3	ა შ _	105,502
4	ლ ი _	74,000
5	_ დ ო	69,476

4-grams (Subword):

Rank	N-gram	Count
1	_ დ ო _	54,635
2	ე ფ ი _	51,940
3	ე ფ ი შ	38,103
4	_ წ ა ნ	37,247
5	ფ ი შ _	35,972

5-grams (Subword):

Rank	N-gram	Count
1	ე ფ ი შ _	35,235
2	_ წ ა ნ ა	29,928
3	, _ ნ ა მ	16,612
4	_ ნ ა მ უ	15,215
5	წ ა ნ ა შ	14,803

Key Findings

• Best Perplexity: 2-gram (subword) with 483
• Entropy Trend: Decreases with larger n-grams (more predictable)
• Coverage: Top-1000 patterns cover ~21% 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	0.7664	1.701	4.87	268,026	23.4%
1	Subword	0.8477	1.800	6.70	2,905	15.2%
2	Word	0.1728	1.127	1.35	1,300,406	82.7%
2	Subword	0.9102	1.879	5.61	19,472	9.0%
3	Word	0.0491	1.035	1.08	1,752,396	95.1%
3	Subword	0.8316	1.780	4.23	109,244	16.8%
4	Word	0.0176 🏆	1.012	1.03	1,882,972	98.2%
4	Subword	0.6760	1.598	2.91	461,858	32.4%

Generated Text Samples (Word-based)

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

Context Size 1:

1. დო მალურიე აკოანჯარაფა ავტომობილეფი ლეგენდარულო გინართინუ ირდიხას ექიაქო შეთმოფხვადუთ ინფორმაციას მუ...
2. რე გენუა ღურჷ პუბლიკაციაშე ოთხი თარანგელოზიშე უნჩაშო წანეფს ჯავახიშვილი შ აკაკი გელოვანი მითოლოგიური...
3. წანას ქიანაქ ტურისტეფიშ დო მუსხირენ წანას რანკექ მუშობა რსულაშე ახალ ზელანდიას პროვინცია ადმინისტრაც...

Context Size 2:

1. რესურსეფი ინტერნეტის უილიამ ბლეიკიშ ციტატას მიარცხუ if the doors delacorte press isbn eden paul gene...
2. ჯვ წ 293 261 თიშენი ნამდა თაქ მუდგაზმარენ აბანობურ ფლროაშ დო ფაუნაშ გოვითარაფაშ დო გჷმორინაფაშ ნება ...
3. ართ ართი მუკნაჭარას ნამუსჷთ წანას მიკრობიოლოგი ანტონ ვან ლევენჰუკი ინგლ antonie van leeuwenhoek დ 24...

Context Size 3:

1. მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა კატეგ...
2. ახალი წანეფიშ ეჭარუაშახ 576 წანა მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა კატეგორ...
3. წანა მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა ...

Context Size 4:

1. წანა მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა კატეგორია მოლინეფი დუნაბადი ნაღურა ...
2. ღურთუთა ფურთუთა მელახი პირელი მესი მანგი კვირკვე მარაშინათუთა ეკენია გჷმათუთა გერგობათუთა ქირსეთუთა ...
3. ფურთუთა მელახი პირელი მესი მანგი კვირკვე მარაშინათუთა ეკენია გჷმათუთა გერგობათუთა ქირსეთუთა 22 ქირსე...

Generated Text Samples (Subword-based)

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

Context Size 1:

1. _fatanacis_გლიურ
2. აზი_9075_280_ას_
3. ი_ნტე“._გმანი_რმ

Context Size 2:

1. ი_მელანმოჭმენიამბ
2. შ_ლჷ_დელი_მოშწანკ
3. ანი_მუე-ტემელუას_

Context Size 3:

1. იშ_ეპისკი_ანურეატი
2. ეფი_ართალი_წანერი_
3. აშ_გოძველ_ურთუალეს

Context Size 4:

1. _დო_ჯოხოდჷ_ვითოში._
2. ეფი_(ინგლისარიშ_ნუტ
3. ეფიშ_მონწყუ_ბიგნეფი

Key Findings

• Best Predictability: Context-4 (word) with 98.2% predictability
• Branching Factor: Decreases with context size (more deterministic)
• Memory Trade-off: Larger contexts require more storage (461,858 contexts)
• Recommendation: Context-3 or Context-4 for text generation

---

4. Vocabulary Analysis

Statistics

Metric	Value
Vocabulary Size	105,542
Total Tokens	1,961,354
Mean Frequency	18.58
Median Frequency	3
Frequency Std Dev	236.83

Most Common Words

Rank	Word	Frequency
1	დო	54,771
2	რე	28,199
3	წანას	11,878
4	წანაშ	11,129
5	რესურსეფი	10,818
6	ინტერნეტის	10,733
7	the	10,417
8	of	9,251
9	რდჷ	8,188
10	1	7,138

Least Common Words (from vocabulary)

Rank	Word	Frequency
1	რაროტონგას	2
2	efo	2
3	ჟირულ	2
4	ლეგიონური	2
5	ანტონესკუშ	2
6	მოსლიქ	2
7	ფბრ	2
8	შპეერიშ	2
9	შერერიქ	2
10	კანემანი	2

Zipf's Law Analysis

Metric	Value
Zipf Coefficient	0.9583
R² (Goodness of Fit)	0.995191
Adherence Quality	excellent

Coverage Analysis

Top N Words	Coverage
Top 100	21.7%
Top 1,000	47.9%
Top 5,000	67.7%
Top 10,000	76.1%

Key Findings

• Zipf Compliance: R²=0.9952 indicates excellent adherence to Zipf's law
• High Frequency Dominance: Top 100 words cover 21.7% of corpus
• Long Tail: 95,542 words needed for remaining 23.9% 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	0.8716	0.3197	N/A	N/A
mono_64d	64	0.8723 🏆	0.2350	N/A	N/A
mono_128d	128	0.7382	0.1853	N/A	N/A
aligned_32d	32	0.8716	0.3267	0.0320	0.2240
aligned_64d	64	0.8723	0.2335	0.0720	0.3200
aligned_128d	128	0.7382	0.1809	0.0820	0.3860

Key Findings

• Best Isotropy: mono_64d with 0.8723 (more uniform distribution)
• Semantic Density: Average pairwise similarity of 0.2469. Lower values indicate better semantic separation.
• Alignment Quality: Aligned models achieve up to 8.2% 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	0.809	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
-ა	ანკლავი, ახვალამას, ალაბამაშ
-მ	მოლუსკეფიშ, მიწონუ, მერცხილი
-მა	მანჩურალიშ, მაბირე, მაიერჰოფი
-ს	სოკომპა, საკონდიტრო, სათავადო
-გ	გუდაუთას, გეოლოგიქ, გეორგიოს
-სა	საკონდიტრო, სათავადო, სარაი
-კ	კინოშე, კონტრ, კარდამონიშ
-ბ	ბანკირი, ბრელშა, ბამიანი

Productive Suffixes

Suffix	Examples
-ი	ანკლავი, პიჩი, ბანკირი
-შ	ფორტეპიანოშ, ლოშიშ, მოლუსკეფიშ
-იშ	ლოშიშ, მოლუსკეფიშ, კარდამონიშ
-ს	გუდაუთას, ახვალამას, ფურთუთას
-ა	ბრელშა, ეკონომიკა, სოკომპა
-ლი	მერცხილი, რეკორდული, გჷშმაკოროცხალი
-აშ	ზუღაშ, ალაბამაშ, ჯანთხილუაშ
-რი	ბანკირი, ჯალპაიგური, ბედინერი

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
ალურ	1.96x	86 contexts	ცალურ, გალურ, ალურე
ანეფ	1.65x	147 contexts	წანეფ, წანეფც, ხანეფც
რეფი	1.65x	143 contexts	ერეფი, არეფი, ცირეფი
ნეფი	1.55x	148 contexts	თნეფი, ენეფი, ინეფი
ლეფი	1.55x	139 contexts	შლეფი, დღლეფი, თულეფი
ობაშ	1.86x	48 contexts	ტობაშ, ნობაშ, უობაში
ტეფი	1.60x	78 contexts	ჩიტეფი, კეტეფი, ერტეფი
ნტერ	1.83x	44 contexts	ნტერი, ინტერ, ნტერო
რმალ	1.98x	29 contexts	ქარმალი, ქარმალქ, წყარმალ
ურსე	2.19x	19 contexts	კურსეფი, კურსეფს, რსურსეფი
ტერნ	1.91x	25 contexts	ტერნი, შტერნი, სტერნი
უეფი	1.44x	66 contexts	ჭუეფი, კუეფი, სუეფი

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
-მ	-ი	174 words	მუნაღელი, მიზანტროპი
-ა	-ი	150 words	ანდალუსიარი, ალიფი
-მ	-შ	136 words	მარსულებერეფიშ, მიოცენიშ
-კ	-ი	110 words	კარერი, კუჩხეფი
-გ	-ი	103 words	გიბრალტარი, გჷმორკვიაფილი
-მ	-ს	91 words	მონძეეფს, მანუსკრიპტეფს
-კ	-შ	87 words	კირქუაშ, კონგილიოშ
-ბ	-ი	87 words	ბრაზავილი, ბურჟი
-მ	-იშ	87 words	მარსულებერეფიშ, მიოცენიშ
-ს	-ი	86 words	სტარი, სუმერი

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
განვითარების	განვითარებ-ი-ს	7.5	ი
ტრაგედიას	ტრაგედ-ი-ას	7.5	ი
მანერჰეიმი	მანერჰე-ი-მი	7.5	ი
აკოდგინელი	აკოდგინ-ე-ლი	7.5	ე
ქვერსემიაშ	ქვერსემ-ი-აშ	7.5	ი
დეფინიციათ	დეფინიც-ი-ათ	7.5	ი
ვიკივოიაჟის	ვიკივოიაჟ-ი-ს	7.5	ი
აპლიკაცია	აპლიკაც-ი-ა	7.5	ი
მუჭომეფითიე	მუჭომეფით-ი-ე	7.5	ი
ბანჯარმასინი	ბანჯარმა-სი-ნი	7.5	სი
ჟირსქესამიე	ჟირსქესამ-ი-ე	7.5	ი
ქუდასქიდჷ	ქუდასქ-ი-დჷ	7.5	ი
რეზერვაცია	რეზერვაც-ი-ა	7.5	ი
აეროპორტიე	აეროპორტ-ი-ე	7.5	ი
დისტილაცია	დისტილაც-ი-ა	7.5	ი

6.6 Linguistic Interpretation

Automated Insight: The language Mingrelian 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 (4.27x)
N-gram	2-gram	Lowest perplexity (483)
Markov	Context-4	Highest predictability (98.2%)
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

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

• 🌐 Website: wikilangs.org
• 🤗 Models: huggingface.co/wikilangs
• 📊 Data: wikipedia-monthly
• 👤 Author: Omar Kamali
• 🤝 Sponsor: Featherless AI

---

Generated by Wikilangs Models Pipeline

Report Date: 2026-01-11 05:18:26