language: zgh
language_name: Standard Moroccan Tamazight
language_family: berber
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-berber
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: 3.844
- name: best_isotropy
type: isotropy
value: 0.7259
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-11T00:00:00.000Z
Standard Moroccan Tamazight - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Standard Moroccan Tamazight 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 | 3.062x | 3.07 | 0.9549% | 377,124 |
| 16k | 3.360x | 3.36 | 1.0478% | 343,658 |
| 32k | 3.609x | 3.61 | 1.1257% | 319,893 |
| 64k | 3.844x 🏆 | 3.85 | 1.1990% | 300,327 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: thumb ⴱⵉ ⴱⵉ ⵙⵉ ⵏⵖ BBC (ⵙ ⵜⵏⴳⵍⵉⵣⵜ: British Broadcasting Corporation) ⵉⵙⴰⵖⵓⵍⵏ
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁thumb ▁ⴱⵉ ▁ⴱⵉ ▁ⵙⵉ ▁ⵏⵖ ▁b bc ▁( ⵙ ▁ⵜⵏⴳⵍⵉⵣⵜ ... (+16 more) |
26 |
| 16k | ▁thumb ▁ⴱⵉ ▁ⴱⵉ ▁ⵙⵉ ▁ⵏⵖ ▁bbc ▁( ⵙ ▁ⵜⵏⴳⵍⵉⵣⵜ : ... (+9 more) |
19 |
| 32k | ▁thumb ▁ⴱⵉ ▁ⴱⵉ ▁ⵙⵉ ▁ⵏⵖ ▁bbc ▁( ⵙ ▁ⵜⵏⴳⵍⵉⵣⵜ : ... (+8 more) |
18 |
| 64k | ▁thumb ▁ⴱⵉ ▁ⴱⵉ ▁ⵙⵉ ▁ⵏⵖ ▁bbc ▁( ⵙ ▁ⵜⵏⴳⵍⵉⵣⵜ : ... (+5 more) |
15 |
Sample 2: ⴰⴳⴰⴷⴰⵣ ⴰⴼⵕⴰⵏⵚⵉⵚ ⵉⴳⴰ ⴰⴳⴷⵓⵣ ⴷ ⴰⵙⴷⴷⵉ ⵏ ⵡⴰⵙⵖⵏⵣⵉ ⴳ ⵜⴰⴷⴷⵓⵔⵜ ⵜⴰⴼⵕⴰⵏⵚⵉⵚⵜ, ⵏ ⵓⵔⵍⵢⴰⵏⵣ ⴰⵎⴰⵢ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁ⴰⴳⴰ ⴷⴰⵣ ▁ⴰⴼⵕⴰⵏⵚⵉⵚ ▁ⵉⴳⴰ ▁ⴰⴳⴷ ⵓⵣ ▁ⴷ ▁ⴰⵙⴷⴷⵉ ▁ⵏ ▁ⵡⴰⵙ ... (+19 more) |
29 |
| 16k | ▁ⴰⴳⴰⴷⴰⵣ ▁ⴰⴼⵕⴰⵏⵚⵉⵚ ▁ⵉⴳⴰ ▁ⴰⴳⴷ ⵓⵣ ▁ⴷ ▁ⴰⵙⴷⴷⵉ ▁ⵏ ▁ⵡⴰⵙ ⵖⵏⵣⵉ ... (+17 more) |
27 |
| 32k | ▁ⴰⴳⴰⴷⴰⵣ ▁ⴰⴼⵕⴰⵏⵚⵉⵚ ▁ⵉⴳⴰ ▁ⴰⴳⴷ ⵓⵣ ▁ⴷ ▁ⴰⵙⴷⴷⵉ ▁ⵏ ▁ⵡⴰⵙ ⵖⵏⵣⵉ ... (+17 more) |
27 |
| 64k | ▁ⴰⴳⴰⴷⴰⵣ ▁ⴰⴼⵕⴰⵏⵚⵉⵚ ▁ⵉⴳⴰ ▁ⴰⴳⴷ ⵓⵣ ▁ⴷ ▁ⴰⵙⴷⴷⵉ ▁ⵏ ▁ⵡⴰⵙ ⵖⵏⵣⵉ ... (+11 more) |
21 |
Sample 3: ⵄⴱⴷⵍⴼⵜⵜⴰⵃ ⵙⵙⵉⵙⵉ (ⵙ ⵜⴰⵄⵕⴰⴱⵜ: عبد الفتاح السيسي), ⵉⵍⵓⵍ ⴳ 19 ⵏⵓⵡⴰⵏⴱⵉⵔ ⴳ ⵜⵇⴰⵀⵉⵔⵜ, ⵉⴳ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁ⵄⴱⴷ ⵍⴼ ⵜⵜⴰ ⵃ ▁ⵙⵙⵉ ⵙⵉ ▁( ⵙ ▁ⵜⴰⵄⵕⴰⴱⵜ : ... (+40 more) |
50 |
| 16k | ▁ⵄⴱⴷ ⵍⴼ ⵜⵜⴰ ⵃ ▁ⵙⵙⵉ ⵙⵉ ▁( ⵙ ▁ⵜⴰⵄⵕⴰⴱⵜ : ... (+38 more) |
48 |
| 32k | ▁ⵄⴱⴷⵍⴼ ⵜⵜⴰⵃ ▁ⵙⵙⵉⵙⵉ ▁( ⵙ ▁ⵜⴰⵄⵕⴰⴱⵜ : ▁عبد ▁الف ت ... (+34 more) |
44 |
| 64k | ▁ⵄⴱⴷⵍⴼ ⵜⵜⴰⵃ ▁ⵙⵙⵉⵙⵉ ▁( ⵙ ▁ⵜⴰⵄⵕⴰⴱⵜ : ▁عبد ▁الفتاح ▁السيسي ... (+27 more) |
37 |
Key Findings
- Best Compression: 64k achieves 3.844x compression
- Lowest UNK Rate: 8k with 0.9549% 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 | 1,196 | 10.22 | 27,047 | 45.0% | 79.1% |
| 2-gram | Subword | 278 🏆 | 8.12 | 3,951 | 66.4% | 98.7% |
| 3-gram | Word | 1,791 | 10.81 | 50,741 | 39.8% | 75.1% |
| 3-gram | Subword | 1,389 | 10.44 | 30,764 | 34.7% | 83.1% |
| 4-gram | Word | 3,181 | 11.64 | 96,325 | 36.3% | 68.2% |
| 4-gram | Subword | 3,814 | 11.90 | 123,122 | 22.6% | 70.8% |
| 5-gram | Word | 3,890 | 11.93 | 104,452 | 36.6% | 65.2% |
| 5-gram | Subword | 6,884 | 12.75 | 251,758 | 17.4% | 65.2% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ⵜⴳⵎⵉⴹⵉ ⵏ |
30,065 |
| 2 | ⵏ ⵓⵙⴳⴳⵯⴰⵙ |
27,531 |
| 3 | ⵓⵎⴹⴰⵏ ⵏ |
26,944 |
| 4 | ⵏ ⵉⵎⵣⴷⴰⵖⵏ |
24,199 |
| 5 | ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ |
24,115 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ ⵏ |
24,115 |
| 2 | ⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ |
14,960 |
| 3 | ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ ⵓⵙⵖⵉⵡⵙ |
14,959 |
| 4 | ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ |
14,958 |
| 5 | ⴳ ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ |
12,063 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ ⵓⵙⵖⵉⵡⵙ |
14,958 |
| 2 | ⴳ ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ ⵏ |
12,063 |
| 3 | ⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵏⵏⵙ |
8,928 |
| 4 | ⵉⵎⵣⴷⴰⵖⵏ ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ |
8,927 |
| 5 | ⴰⵎⴰⵜⴰⵢ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵜⴰⵙⵎⵉⵔⵉⵜ |
8,927 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ |
8,927 |
| 2 | ⴰⵎⴰⵜⴰⵢ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ |
8,927 |
| 3 | ⵉⵎⵣⴷⴰⵖⵏ ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ ⵓⵙⵖⵉⵡⵙ |
8,927 |
| 4 | ⵉⴹⴼⴰⵕ ⵓⵙⵓⵏ ⴰⴷ ⵉ ⵜⵔⴼⵉⵇⵜ |
8,926 |
| 5 | ⵍⵎⵖⵔⵉⴱ ⵉⴹⴼⴰⵕ ⵓⵙⵓⵏ ⴰⴷ ⵉ |
8,926 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ⵏ _ |
653,035 |
| 2 | _ ⵏ |
397,792 |
| 3 | _ ⵜ |
364,082 |
| 4 | _ ⵉ |
257,899 |
| 5 | _ ⵓ |
211,446 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ ⵏ _ |
291,650 |
| 2 | _ ⵜ ⴰ |
138,650 |
| 3 | _ ⴳ _ |
115,983 |
| 4 | ⵏ _ ⵉ |
106,477 |
| 5 | ⴰ ⵏ _ |
105,784 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ ⵏ _ ⵓ |
86,083 |
| 2 | ⵜ _ ⵏ _ |
65,334 |
| 3 | _ ⵏ _ ⵉ |
62,419 |
| 4 | ⵏ _ ⵓ ⵙ |
60,609 |
| 5 | _ ⵏ _ ⵜ |
57,983 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ ⵏ _ ⵓ ⵙ |
51,067 |
| 2 | ⵎ ⵣ ⴷ ⴰ ⵖ |
45,993 |
| 3 | ⴳ ⴳ ⵯ ⴰ ⵙ |
36,185 |
| 4 | ⵙ ⴳ ⴳ ⵯ ⴰ |
36,178 |
| 5 | _ ⵏ ⵏ ⴰ _ |
35,864 |
Key Findings
- Best Perplexity: 2-gram (subword) with 278
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~65% 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 | 0.6673 | 1.588 | 4.36 | 83,258 | 33.3% |
| 1 | Subword | 1.0864 | 2.123 | 8.88 | 1,091 | 0.0% |
| 2 | Word | 0.2718 | 1.207 | 1.69 | 361,700 | 72.8% |
| 2 | Subword | 0.9804 | 1.973 | 6.14 | 9,682 | 2.0% |
| 3 | Word | 0.0879 | 1.063 | 1.19 | 608,815 | 91.2% |
| 3 | Subword | 0.8161 | 1.761 | 3.76 | 59,433 | 18.4% |
| 4 | Word | 0.0448 🏆 | 1.032 | 1.12 | 719,950 | 95.5% |
| 4 | Subword | 0.5524 | 1.466 | 2.41 | 223,378 | 44.8% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
ⵏ ⵜⴰⵚⵚⵓⵕⵜ ⵜⴰⵎⵏⴰⴹⵜ ⵏ 800 ⵏ ⵜⴰⵎⴹⵉⵜ ⵙ ⵜⴳⵎⵉⴹⵉ ⵏ ⵍⵎⵏⵣⵍ ⵜⴰⵙⴳⴰ ⵏ ⵓⵙⵍⵎⴷ 95 ⵏⴳ ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ ⵏ ⵜⵎⵍⵙⴰ ⵢⴰⴹⵏⵉ ⵣⵓⵏ ⴷ 11 ⵏ ⵢⵉⵡⵍ ⴰⵎⵣⵡⴰⵔⵓ 33 85 37 5ⴷ ⵉⵔⴰⵔ ⵍⵎⵖⵔⵉⴱ ⵉⴹⴼⴰⵕ ⵓⵙⵓⵏ ⵉⵎⵓⵏⵏ ⵢⵉⵍⵉ ⴳ ⵓⵙⵉⴹⵏ ⴰⵎⴰⴷⴷⵓⴷ ⵏ ⵜⴳⵍⴷⵉⵜ ⵜⴰⵙⴰⵄⵓⴷⵉⵜ ⴳ ⵜⴳⵔⴰⵡⵜ ⵏ
Context Size 2:
ⵜⴳⵎⵉⴹⵉ ⵏ ⵎⴷⴷ ⵏⵏⴰ ⵥⴹⴰⵕⵏⵉⵏ ⵉ ⵜⵡⵓⵔⵉ 53 52 ⴳ ⴰⵢⵜ ⵄⵍⵍⴰ ⵏⵏⴰ ⴳ ⵍⵍⴰⵏ 5 ⵏⵏ ⵓⵙⴳⴳⵯⴰⵙ démographiques et socio économiques de la population et de l habitat de ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ...ⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵏⵏⵙ 75 ⵏ ⵜⵡⵜⵎⵉⵏ ⵜⴰⵡⵊⵉⵡⵉⵏ ⵉⵡⵍ ⴷ ⵜⴰⵔⵡⴰ ⴳ ⴳⴰⵏ ⵡⵉⵏⴰ ⵢⵉⵡⵍⵏ ⴳ ⵓⵙⵓⵏ
Context Size 3:
ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ ⵏ ⵜⴰⵔⵙⴽⴽⵉⵍⵜ 50 98 ⴳⵔ ⵉⵔⴱⴰⵏ ⴷ ⵜⵔⴱⴰⵜⵉⵏ ⵏⵏⴰ ⵖⵓⵔ ⴳⵔ 6 ⴷ 11 ⵏ ⵓⵙⴳⴳⵯⴰⵙⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵏⵏⵙ 122 ⵏ ⵓⵎⵣⴷⴰⵖ ⴳ ⵓⵙⵉⴹⵏ ⴰⵎⴰⴷⴷⵓⴷ ⵏ ⵓⵙⴳⴳⵯⴰⵙ démographiques et socio économiques de laⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ ⵓⵙⵖⵉⵡⵙ ⴰⵕⵛⵉⴼ 14 ⵖⵓⵛⵜ ⵜⵉⵙⵏⴰⴷⴷⴰⴷⵉⵏ ⵜⵉⵙⵏⴰⴷⴷⴰⴷⵉⵏ ⵜⵉⵎⴰⵜⴰⵢⵉⵏ ⵉⴳⴳⵯⵉⵣ ⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵏ ⵜⴰⵖⵣⵓⵜ ⵙ...
Context Size 4:
ⵜⴰⵙⵎⵉⵔⵉⵜ ⵜⴰⵎⴰⵜⵜⴰⵢⵜ ⵏ ⵓⵙⵖⵉⵡⵙ ⴰⵕⵛⵉⴼ 14 ⵖⵓⵛⵜ ⵜⵉⵙⵏⴰⴷⴷⴰⴷⵉⵏ ⵜⵉⵙⵏⴰⴷⴷⴰⴷⵉⵏ ⵜⵉⵎⴰⵜⴰⵢⵉⵏ ⵉⴳⴳⵯⵉⵣ ⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵏ...ⴳ ⵜⵍⴽⵎ ⵜⴳⵎⵉⴹⵉ ⵏ ⵎⴷⴷ ⵏⵏⴰ ⵥⴹⴰⵕⵏⵉⵏ ⵉ ⵜⵡⵓⵔⵉ 55 29 ⴳ ⴰⵢⵜ ⴱⵏ ⵄⴱⴱⵓ ⴰⵔ ⵏⵉⵜ ⵙⵡⵓⵔⵉⵏ ⵏⵉⵖⵓⵎⴹⴰⵏ ⵏ ⵉⵎⵣⴷⴰⵖⵏ ⵏⵏⵙ 390 ⵏ ⵓⵎⵣⴷⴰⵖ ⴳ ⵓⵙⵉⴹⵏ ⴰⵎⴰⴷⴷⵓⴷ ⵏ ⵓⵙⴳⴳⵯⴰⵙ démographiques et socio économiques de la...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_ⵜⴰⵢⵢⵉⵏⴰⵔ_ⴱⵜⴰⵏ_ⵓⴰⵖⵉⵜ_ⵖⵜ_ⵇⵏ_ⴳ_nonⵏ_ⵉⵇⵜⴰ_ⵏ_ⵓⵎⴹⵏ_ⴼⵜ
Context Size 2:
ⵏ_ⴷ_ⵉⴳⴳⵉⵙⵙ_3_ⴰⵍ_ⴰ_ⵏ_ⴰⵎⴰⵏ_ⴳ_ⵓⵙⵙⴰⵖⵏ__ⵜⵡⵓⵔ_6_ⴽⵓⴷⴰⵖ,_ⵉⵥ
Context Size 3:
_ⵏ_ⵜⴰⵙⵡⵉⵏ_ⵉⵙⴽⴰⵔⵏⵜ__ⵜⴰⵡⵓⵔⵉ_4.52%_ⴳⵔ_6_ⴳ_ⵍⵍⴰⵏ_ⵡⵉⵏ:_ⵉⵡⵜⵎⵉ
Context Size 4:
_ⵏ_ⵓⵍⴰ_ⴳ_ⴳⴰⵏ_ⵡⵉⵏⴰ_ⵢⵜ_ⵏ_ⵓⵙⵖⵉⵡⵙ._ⴰⵕⵛⵉⴼ,__ⵏ_ⵉⵡⵜⵎⴰⵏ_ⴷ_24.85,_
Key Findings
- Best Predictability: Context-4 (word) with 95.5% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (223,378 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 35,191 |
| Total Tokens | 2,431,531 |
| Mean Frequency | 69.10 |
| Median Frequency | 4 |
| Frequency Std Dev | 1880.39 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | ⵏ | 291,759 |
| 2 | ⴳ | 116,564 |
| 3 | ⴷ | 74,542 |
| 4 | ⵙ | 39,445 |
| 5 | ⵏⵏⴰ | 35,886 |
| 6 | ⴳⵔ | 30,891 |
| 7 | ⵉⵎⵣⴷⴰⵖⵏ | 30,462 |
| 8 | ⵜⴳⵎⵉⴹⵉ | 30,068 |
| 9 | ⵓⵙⴳⴳⵯⴰⵙ | 29,018 |
| 10 | ⵓⵎⴹⴰⵏ | 27,041 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | ⵓⵎⵙⵙⵉⵥⵉⵕ | 2 |
| 2 | ⵜⵙⵔⴽⵎⵉⵏ | 2 |
| 3 | ⵓⵎⵢⴰⴱⴰ | 2 |
| 4 | fourth | 2 |
| 5 | ⵜⴰⴱⵔⵓⵙⵉⵜ | 2 |
| 6 | ⵜⴰⵙⵏⴽⵜⴰ | 2 |
| 7 | ⵜⵉⵣⵎⵣⴰⵏⵉⵏ | 2 |
| 8 | ⵜⴰⴷⵓⵥⴽⵉⵡⵜ | 2 |
| 9 | ⴰⵎⵥⵕⴷⴳⴰⵔ | 2 |
| 10 | ⵜⴰⵥⵕⵎⴰⵔⴽⵙⵉⵜ | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.2553 |
| R² (Goodness of Fit) | 0.991414 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 67.5% |
| Top 1,000 | 88.5% |
| Top 5,000 | 94.6% |
| Top 10,000 | 96.7% |
Key Findings
- Zipf Compliance: R²=0.9914 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 67.5% of corpus
- Long Tail: 25,191 words needed for remaining 3.3% 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 | 0.7259 🏆 | 0.3600 | N/A | N/A |
| mono_64d | 64 | 0.5835 | 0.3114 | N/A | N/A |
| mono_128d | 128 | 0.1766 | 0.3125 | N/A | N/A |
| aligned_32d | 32 | 0.7259 | 0.3745 | 0.0080 | 0.0540 |
| aligned_64d | 64 | 0.5835 | 0.3265 | 0.0120 | 0.1240 |
| aligned_128d | 128 | 0.1766 | 0.3192 | 0.0360 | 0.1480 |
Key Findings
- Best Isotropy: mono_32d with 0.7259 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3340. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 3.6% 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 | 0.001 | Low formulaic 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 |
|---|---|
-ⵜ |
ⵜⵉⵎⵙⵙⵉ, ⵜⴳⵎⴰⵎⵜ, ⵜⵛⴰⵡⵉⵜ |
-ⵜⴰ |
ⵜⴰⵎⴰⴽⵓⴷⵜ, ⵜⴰⴱⵕⵕⴰⵏⵉⵢⵜ, ⵜⴰⵇⵇⴰⵢⵜ |
-ⵉ |
ⵉⵙⵙⵏⵄⴰⵜ, ⵉⴳⵯⵔⵔⴰⵎⵏ, ⵉⵊ |
-ⴰ |
ⴰⵎⵙⵏⴽⴰⵔ, ⴰⵜⵉⵍⵉⴼⵉⵣⵢⵓⵏ, ⴰⵎⵖⵔⵉⴱⵉⵢ |
-ⵓ |
ⵓⵊⵔⵉ, ⵓⴳⵜⴷⵉⵙ, ⵓⵔⵔⴰⵡ |
-ⵜⵉ |
ⵜⵉⵎⵙⵙⵉ, ⵜⵉⵎⵥⴰⵕⵕⵓⵕⵉⵏ, ⵜⵉⵎⵥⵍⴰⵢⵉⵏ |
-ⵍ |
ⵍⵃⵓⵎⴰ, ⵍⵡⴰⴷ, ⵍⴳⵯⵍⵍⴰ |
-ⵉⵎ |
ⵉⵎⵥⵉⵏⵛⵓⵜⴰⵏⴱⵉⵔ, ⵉⵎⵢⴰⴳⴰⵔ, ⵉⵎⴷⴰⵏ |
Productive Suffixes
| Suffix | Examples |
|---|---|
-ⵏ |
ⴽⵔⵓⵛⵏ, ⵉⴳⵯⵔⵔⴰⵎⵏ, ⵜⵉⵎⵥⴰⵕⵕⵓⵕⵉⵏ |
-ⵜ |
ⵜⴳⵎⴰⵎⵜ, ⵜⵛⴰⵡⵉⵜ, ⵉⵙⵙⵏⵄⴰⵜ |
-ⵉⵏ |
ⵜⵉⵎⵥⴰⵕⵕⵓⵕⵉⵏ, ⵣⵣⵏⵣⴰⵏⵉⵏ, ⵜⵉⵎⵥⵍⴰⵢⵉⵏ |
-ⴰ |
ⴱⵓⴷⴰ, ⵊⴰⵎⴰⵢⴽⴰ, ⵍⵃⵓⵎⴰ |
-ⵉ |
ⵜⵉⵎⵙⵙⵉ, ⵓⵊⵔⵉ, ⵏⵜⵜⵉⵏⵉ |
-ⴰⵏ |
ⵉⴱⵇⵇⴰⵏ, ⵎⵛⴰⵛⴽⴰⵏ, ⵉⵎⴷⴰⵏ |
-ⵉⵜ |
ⵜⵛⴰⵡⵉⵜ, ⵜⴰⴷⵉⵏⴰⵎⵉⵜ, ⴱⵓⵜⵓⵏⴼⵉⵜ |
-ⵔ |
ⴰⵎⵙⵏⴽⴰⵔ, ⵜⵜⵔ, ⵉⵎⵥⵉⵏⵛⵓⵜⴰⵏⴱⵉⵔ |
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 |
|---|---|---|---|
ⴰⴷⴷⴰ |
1.60x | 54 contexts | ⵜⴰⴷⴷⴰ, ⴰⴷⴷⴰⴳ, ⵢⴰⴷⴷⴰ |
ⵡⵓⵔⵉ |
1.73x | 38 contexts | ⵜⵡⵓⵔⵉ, ⵜⵙⵡⵓⵔⵉ, ⴰⵙⵡⵓⵔⵉ |
ⴳⴳⴰⵔ |
1.70x | 24 contexts | ⵉⴳⴳⴰⵔ, ⴳⴳⴰⵔⵏ, ⵓⴳⴳⴰⵔ |
ⵓⴳⴳⴰ |
1.65x | 24 contexts | ⵢⵓⴳⴳⴰ, ⵜⵓⴳⴳⴰ, ⵓⴳⴳⴰⵏ |
ⵜⵜⴰⵢ |
1.71x | 19 contexts | ⴰⵜⵜⴰⵢ, ⵓⵡⵜⵜⴰⵢ, ⵓⵏⵜⵜⴰⵢ |
ⴰⵜⵜⴰ |
1.62x | 22 contexts | ⴰⵜⵜⴰⵢ, ⵎⴰⵜⵜⴰ, ⴰⵜⵜⴰⵖ |
ⵎⵉⵔⵉ |
1.54x | 21 contexts | ⵉⵎⵉⵔⵉ, ⵓⵎⵉⵔⵉⴳ, ⵜⵎⵉⵔⵉⵜ |
ⴷⴷⴰⴷ |
1.66x | 16 contexts | ⵃⴷⴷⴰⴷ, ⵓⴷⴷⴰⴷ, ⵉⴷⴷⴰⴷ |
ⴰⵎⴰⵜ |
1.50x | 17 contexts | ⴰⵎⴰⵜⵓ, ⴰⵎⴰⵜⴰ, ⴰⵎⴰⵜⵜⵓ |
ⵙⵍⵎⴷ |
1.69x | 12 contexts | ⴰⵙⵍⵎⴷ, ⵓⵙⵍⵎⴷ, ⵙⵍⵎⴷⵏ |
ⵉⵔⵉⵜ |
1.59x | 14 contexts | ⵜⵉⵔⵉⵜ, ⵙⵉⵔⵉⵜ, ⵙⴱⵉⵔⵉⵜ |
ⴰⵢⵉⵏ |
1.86x | 9 contexts | ⴼⵍⴰⵢⵉⵏ, ⵜⵎⴷⴰⵢⵉⵏ, ⵜⵓⵎⴰⵢⵉⵏ |
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 |
|---|---|---|---|
-ⵜ |
-ⵜ |
684 words | ⵜⴰⴱⵔⵓⵜⵉⵙⵜⴰⵏⵜⵉⵜ, ⵜⴰⵏⵓⵍⴼⵓⵜ |
-ⵉ |
-ⵏ |
523 words | ⵉⴼⵓⵄⵣⵏ, ⵉⵎⵙⴷⵎⴰⵔⵏ |
-ⵜ |
-ⵏ |
379 words | ⵜⵢⴰⴼⵓⵜⵉⵏ, ⵜⵉⵕⵚⵍⵉⵢⵉⵏ |
-ⵜ |
-ⵉⵏ |
331 words | ⵜⵢⴰⴼⵓⵜⵉⵏ, ⵜⵉⵕⵚⵍⵉⵢⵉⵏ |
-ⵜ |
-ⵉⵜ |
130 words | ⵜⴰⴱⵔⵓⵜⵉⵙⵜⴰⵏⵜⵉⵜ, ⵜⴰⵊⵓⴳⵕⴰⴼⵉⵜ |
-ⵍ |
-ⴰ |
101 words | ⵍⴼⴰⵢⴹⴰ, ⵍⴱⵕⵕⴰⵏⵢⵢⴰ |
-ⵜ |
-ⴰ |
74 words | ⵜⵜⵓⴱⵏⴰ, ⵜⴰⵎⴰ |
-ⵉ |
-ⴰⵏ |
63 words | ⵉⵎⵛⴰⵛⴽⴰⵏ, ⵉⵡⴷⴰⵏ |
-ⴰ |
-ⵏ |
58 words | ⴰⵀⵉⵍⵏ, ⴰⵎⴽⴰⵏ |
-ⴰ |
-ⵉ |
47 words | ⴰⵎⵣⴳⵉ, ⴰⴷⵡⴰⵍⵉ |
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 |
|---|---|---|---|
| ⵜⵉⵔⵍⵓⴳⵏⴰⵏⵉⵏ | ⵜⵉⵔⵍⵓⴳⵏⴰ-ⵏ-ⵉⵏ |
7.5 | ⵏ |
| ⵜⴳⵔⴰⵖⵍⴰⵏⵉⵏ | ⵜⴳⵔⴰⵖⵍⴰ-ⵏ-ⵉⵏ |
7.5 | ⵏ |
| ⵜⵜⵄⵕⵕⴱⵏⵉⵏ | ⵜⵜⵄⵕⵕⴱ-ⵏ-ⵉⵏ |
7.5 | ⵏ |
| ⵉⵜⵜⴰⵡⵙⵙⴰⵏⵏ | ⵉⵜⵜⴰⵡⵙⵙⴰ-ⵏ-ⵏ |
7.5 | ⵏ |
| ⵉⵎⵖⵔⴰⴷⴰⵏⵏ | ⵉⵎⵖⵔⴰⴷⴰ-ⵏ-ⵏ |
7.5 | ⵏ |
| ⵜⵉⵎⴰⵙⵉⵏⵉⵏ | ⵜⵉⵎⴰⵙ-ⵉⵏ-ⵉⵏ |
7.5 | ⵉⵏ |
| ⵉⵙⵉⵏⴰⵔⵢⵓⵜⵏ | ⵉⵙⵉⵏⴰⵔⵢⵓ-ⵜ-ⵏ |
7.5 | ⵜ |
| ⵜⵉⵙⵏⵛⵏⵢⴰⵍⴰⵏⵉⵏ | ⵜⵉⵙⵏⵛⵏⵢⴰⵍ-ⴰⵏ-ⵉⵏ |
7.5 | ⴰⵏ |
| ⴽⵔⵉⵙⵜⵢⴰⵏⵓ | ⴽⵔⵉⵙⵜⵢⴰ-ⵏ-ⵓ |
7.5 | ⵏ |
| ⵜⵜⵓⵙⵎⵔⴰⵙⵏⵉⵏ | ⵜⵜⵓⵙⵎⵔⴰⵙ-ⵏ-ⵉⵏ |
7.5 | ⵏ |
| ⵜⵉⵎⵢⴰⵇⴰⵏⵉⵏ | ⵜⵉⵎⵢⴰⵇ-ⴰⵏ-ⵉⵏ |
7.5 | ⴰⵏ |
| ⵜⵉⵏⵎⴹⴰⵏⵉⵏ | ⵜⵉⵏⵎⴹ-ⴰⵏ-ⵉⵏ |
7.5 | ⴰⵏ |
| ⵜⵜⵡⴰⵙⵙⴰⵏⵏⵜ | ⵜⵜⵡⴰⵙⵙⴰⵏ-ⵏ-ⵜ |
7.5 | ⵏ |
| ⵉⵙⵜⵓⴷⵢⵓⵜⵏ | ⵉⵙⵜⵓⴷⵢⵓ-ⵜ-ⵏ |
7.5 | ⵜ |
| ⵉⵜⵜⵓⵙⵖⵥⵏⵏ | ⵉⵜⵜⵓⵙⵖⵥ-ⵏ-ⵏ |
7.5 | ⵏ |
6.6 Linguistic Interpretation
Automated Insight: The language Standard Moroccan Tamazight shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (3.84x) |
| N-gram | 2-gram | Lowest perplexity (278) |
| Markov | Context-4 | Highest predictability (95.5%) |
| Embeddings | 100d | Balanced semantic capture and isotropy |
Appendix: Metrics Glossary & Interpretation Guide
This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.
Tokenizer Metrics
Compression Ratio
Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text.
Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average.
What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.
Average Token Length (Fertility)
Definition: Mean number of characters per token produced by the tokenizer.
Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length.
What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.
Unknown Token Rate (OOV Rate)
Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent.
Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences.
What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.
N-gram Model Metrics
Perplexity
Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction.
Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options.
What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.
Entropy
Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy.
Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character.
What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.
Coverage (Top-K)
Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams.
Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage.
What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.
Markov Chain Metrics
Average Entropy
Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction.
Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations).
What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.
Branching Factor
Definition: Average number of unique next tokens observed for each context.
Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive).
What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.
Predictability
Definition: Derived metric: (1 - normalized_entropy) × 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: 2026-01-11 05:56:32



















