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---
language: syl
language_name: Sylheti
language_family: indoaryan_eastern
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-indoaryan_eastern
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: 4.022
- name: best_isotropy
type: isotropy
value: 0.2602
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-10
---
# Sylheti - Wikilangs Models
## Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on **Sylheti** Wikipedia data.
We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.
## ๐Ÿ“‹ Repository Contents
### Models & Assets
- Tokenizers (8k, 16k, 32k, 64k)
- N-gram models (2, 3, 4, 5-gram)
- Markov chains (context of 1, 2, 3, 4 and 5)
- Subword N-gram and Markov chains
- Embeddings in various sizes and dimensions (aligned and unaligned)
- Language Vocabulary
- Language Statistics
![Performance Dashboard](visualizations/performance_dashboard.png)
### Analysis and Evaluation
- [1. Tokenizer Evaluation](#1-tokenizer-evaluation)
- [2. N-gram Model Evaluation](#2-n-gram-model-evaluation)
- [3. Markov Chain Evaluation](#3-markov-chain-evaluation)
- [4. Vocabulary Analysis](#4-vocabulary-analysis)
- [5. Word Embeddings Evaluation](#5-word-embeddings-evaluation)
- [6. Morphological Analysis (Experimental)](#6--morphological-analysis-experimental)
- [7. Summary & Recommendations](#7-summary--recommendations)
- [Metrics Glossary](#appendix-metrics-glossary--interpretation-guide)
- [Visualizations Index](#visualizations-index)
---
## 1. Tokenizer Evaluation
![Tokenizer Compression](visualizations/tokenizer_compression.png)
![Tokenizer Fertility](visualizations/tokenizer_fertility.png)
![Tokenizer OOV](visualizations/tokenizer_oov.png)
![Total Tokens](visualizations/tokenizer_total_tokens.png)
### Results
| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens |
|------------|-------------|---------------|----------|--------------|
| **8k** | 3.222x | 3.23 | 0.1507% | 158,587 |
| **16k** | 3.579x | 3.58 | 0.1674% | 142,736 |
| **32k** | 4.022x ๐Ÿ† | 4.03 | 0.1881% | 127,036 |
### Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
**Sample 1:** `๊ €๊ ๊ †๊ ž๊ ฃ ๊ ข๊ ‡๊ †๊ ‡๊ Ÿ ๊ ๊ ค๊ Ÿ๊ ๊ ค ๊ „๊ ‰๊ ฅ ๊ ๊ ฅ๊ Ÿ๊ ฅ๊ ‰๊ ฃ๊ ˜ ๊ จ ๊ —๊ ฃ๊ ž๊ ˜๊ ฃ ๊ ‡๊ ž๊ ฃ ๊ …๊ „ ๊ ๊ ˆ๊ ฃ๊ ˜ ๊ Ž๊ ˜๊ ™๊ ค๊ ž๊ ค๊ … ๊ Ÿ๊ ฅ๊ ‡ ๊ ๊ ฅ๊ ˆ๊ ฆ ๊ ข๊ ฅ๊ ˜๊ ฃ ๊ ‰๊ ค๊ ” ๊ •๊ ˜๊ ฆ ...`
| Vocab | Tokens | Count |
|-------|--------|-------|
| 8k | `โ–๊ €๊ ๊ † ๊ ž๊ ฃ โ–๊ ข๊ ‡๊ †๊ ‡๊ Ÿ โ–๊ ๊ ค๊ Ÿ๊ ๊ ค โ–๊ „๊ ‰๊ ฅ โ–๊ ๊ ฅ๊ Ÿ ๊ ฅ ๊ ‰๊ ฃ๊ ˜ โ–๊ จ โ–๊ —๊ ฃ๊ ž๊ ˜๊ ฃ ... (+26 more)` | 36 |
| 16k | `โ–๊ €๊ ๊ †๊ ž๊ ฃ โ–๊ ข๊ ‡๊ †๊ ‡๊ Ÿ โ–๊ ๊ ค๊ Ÿ๊ ๊ ค โ–๊ „๊ ‰๊ ฅ โ–๊ ๊ ฅ๊ Ÿ ๊ ฅ ๊ ‰๊ ฃ๊ ˜ โ–๊ จ โ–๊ —๊ ฃ๊ ž๊ ˜๊ ฃ โ–๊ ‡๊ ž๊ ฃ ... (+18 more)` | 28 |
| 32k | `โ–๊ €๊ ๊ †๊ ž๊ ฃ โ–๊ ข๊ ‡๊ †๊ ‡๊ Ÿ โ–๊ ๊ ค๊ Ÿ๊ ๊ ค โ–๊ „๊ ‰๊ ฅ โ–๊ ๊ ฅ๊ Ÿ๊ ฅ๊ ‰๊ ฃ๊ ˜ โ–๊ จ โ–๊ —๊ ฃ๊ ž๊ ˜๊ ฃ โ–๊ ‡๊ ž๊ ฃ โ–๊ …๊ „ โ–๊ ๊ ˆ๊ ฃ๊ ˜ ... (+14 more)` | 24 |
**Sample 2:** `๊ ˜๊ ฃ๊ ข๊ ค๊ – ๊ ๊ ๊ Ÿ๊ ฃ๊  ๊ … ๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ ž ๊ ‡๊ ฅ๊ ๊ ฃ ๊ €๊ ˜๊ †๊ –๊ ฅ๊ Ÿ๊ ˜๊ ž ๊ „๊ ‡ ๊ ก๊ ๊ ˜๊ †๊ ˜๊ „๊ ‡๊ ž๊ ž๊ ฃ โ• ๊ ‰๊ ฆ๊ Ÿ๊ ฃ๊ ž๊ ค๊ ”`
| Vocab | Tokens | Count |
|-------|--------|-------|
| 8k | `โ–๊ ˜๊ ฃ ๊ ข๊ ค๊ – โ–๊ ๊ ๊ Ÿ๊ ฃ๊  โ–๊ … โ–๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ ž โ–๊ ‡๊ ฅ๊ ๊ ฃ โ–๊ €๊ ˜๊ †๊ –๊ ฅ๊ Ÿ๊ ˜๊ ž โ–๊ „๊ ‡ โ–๊ ก๊ ๊ ˜๊ †๊ ˜๊ „๊ ‡๊ ž๊ ž๊ ฃ โ–โ• ... (+1 more)` | 11 |
| 16k | `โ–๊ ˜๊ ฃ๊ ข๊ ค๊ – โ–๊ ๊ ๊ Ÿ๊ ฃ๊  โ–๊ … โ–๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ ž โ–๊ ‡๊ ฅ๊ ๊ ฃ โ–๊ €๊ ˜๊ †๊ –๊ ฅ๊ Ÿ๊ ˜๊ ž โ–๊ „๊ ‡ โ–๊ ก๊ ๊ ˜๊ †๊ ˜๊ „๊ ‡๊ ž๊ ž๊ ฃ โ–โ• โ–๊ ‰๊ ฆ๊ Ÿ๊ ฃ๊ ž๊ ค๊ ”` | 10 |
| 32k | `โ–๊ ˜๊ ฃ๊ ข๊ ค๊ – โ–๊ ๊ ๊ Ÿ๊ ฃ๊  โ–๊ … โ–๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ ž โ–๊ ‡๊ ฅ๊ ๊ ฃ โ–๊ €๊ ˜๊ †๊ –๊ ฅ๊ Ÿ๊ ˜๊ ž โ–๊ „๊ ‡ โ–๊ ก๊ ๊ ˜๊ †๊ ˜๊ „๊ ‡๊ ž๊ ž๊ ฃ โ–โ• โ–๊ ‰๊ ฆ๊ Ÿ๊ ฃ๊ ž๊ ค๊ ”` | 10 |
**Sample 3:** `๊ ‡๊  ๊ ค ๊ ˜๊ ฃ๊ ๊ ฃ๊ ž ๊ ™๊ ฅ๊ •๊ ค ๊ ๊ †๊ ž๊ ค๊ ข๊ ๊ †๊  ๊ •๊ ˜๊ ฆ ๊ ›๊ ฃ๊ ž๊ …๊ ๊ ๊ ค๊ Ÿ ๊ ๊ †๊ ž๊ ค๊ ๊ ข๊ ๊ †๊ ๊ – ๊ €๊ ›๊ †๊ –๊ ฅ๊ Ÿ ๊ ‰๊ ˜๊ ค ๊ „ ๊ ›๊ ฃ๊ ž ๊ ‡๊ ž๊ †๊ ๊ ค๊ Ÿ๊ ฃ ๊ ก๊ ˜๊ ž ๊ ›๊ ฃ๊ „...`
| Vocab | Tokens | Count |
|-------|--------|-------|
| 8k | `โ–๊ ‡ ๊  ๊ ค โ–๊ ˜๊ ฃ๊  ๊ ฃ๊ ž โ–๊ ™๊ ฅ๊ •๊ ค โ–๊ ๊ †๊ ž๊ ค๊ ข๊ ๊ †๊  โ–๊ •๊ ˜๊ ฆ โ–๊ ›๊ ฃ๊ ž ๊ …๊  ๊ ๊ ค๊ Ÿ ... (+16 more)` | 26 |
| 16k | `โ–๊ ‡ ๊  ๊ ค โ–๊ ˜๊ ฃ๊  ๊ ฃ๊ ž โ–๊ ™๊ ฅ๊ •๊ ค โ–๊ ๊ †๊ ž๊ ค๊ ข๊ ๊ †๊  โ–๊ •๊ ˜๊ ฆ โ–๊ ›๊ ฃ๊ ž ๊ …๊ ๊ ๊ ค๊ Ÿ โ–๊ ๊ †๊ ž๊ ค ... (+12 more)` | 22 |
| 32k | `โ–๊ ‡๊  ๊ ค โ–๊ ˜๊ ฃ๊ ๊ ฃ๊ ž โ–๊ ™๊ ฅ๊ •๊ ค โ–๊ ๊ †๊ ž๊ ค๊ ข๊ ๊ †๊  โ–๊ •๊ ˜๊ ฆ โ–๊ ›๊ ฃ๊ ž๊ …๊ ๊ ๊ ค๊ Ÿ โ–๊ ๊ †๊ ž๊ ค๊ ๊ ข๊ ๊ †๊ ๊ – โ–๊ €๊ ›๊ †๊ –๊ ฅ๊ Ÿ โ–๊ ‰๊ ˜๊ ค โ–๊ „ ... (+6 more)` | 16 |
### Key Findings
- **Best Compression:** 32k achieves 4.022x compression
- **Lowest UNK Rate:** 8k with 0.1507% unknown tokens
- **Trade-off:** Larger vocabularies improve compression but increase model size
- **Recommendation:** 32k vocabulary provides optimal balance for production use
---
## 2. N-gram Model Evaluation
![N-gram Perplexity](visualizations/ngram_perplexity.png)
![N-gram Unique](visualizations/ngram_unique.png)
![N-gram Coverage](visualizations/ngram_coverage.png)
### Results
| N-gram | Variant | Perplexity | Entropy | Unique N-grams | Top-100 Coverage | Top-1000 Coverage |
|--------|---------|------------|---------|----------------|------------------|-------------------|
| **2-gram** | Word | 691 ๐Ÿ† | 9.43 | 884 | 33.5% | 100.0% |
| **2-gram** | Subword | 1,332 | 10.38 | 5,973 | 36.8% | 77.2% |
| **3-gram** | Word | 836 | 9.71 | 1,105 | 30.9% | 94.7% |
| **3-gram** | Subword | 8,364 | 13.03 | 21,498 | 13.7% | 39.9% |
| **4-gram** | Word | 2,379 | 11.22 | 3,031 | 17.4% | 53.0% |
| **4-gram** | Subword | 24,708 | 14.59 | 50,570 | 7.4% | 23.8% |
| **5-gram** | Word | 2,151 | 11.07 | 2,640 | 17.3% | 54.6% |
| **5-gram** | Subword | 31,205 | 14.93 | 51,776 | 5.2% | 19.1% |
### Top 5 N-grams by Size
**2-grams (Word):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „` | 73 |
| 2 | `๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก` | 73 |
| 3 | `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ €` | 73 |
| 4 | `๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ”` | 73 |
| 5 | `of the` | 65 |
**3-grams (Word):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „` | 73 |
| 2 | `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก` | 73 |
| 3 | `๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ”` | 73 |
| 4 | `๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ` | 51 |
| 5 | `๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ` | 51 |
**4-grams (Word):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „` | 73 |
| 2 | `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ”` | 73 |
| 3 | `๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ ๊ ˜๊ ฃ๊ „` | 51 |
| 4 | `๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ` | 51 |
| 5 | `๊ €๊ ๊ ฆ๊ ž๊ ค๊ ‡๊ ฃ ๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก` | 31 |
**5-grams (Word):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „` | 73 |
| 2 | `๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ ๊ ˜๊ ฃ๊ „` | 51 |
| 3 | `๊ €๊ ๊ ฆ๊ ž๊ ค๊ ‡๊ ฃ ๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ”` | 31 |
| 4 | `๊ œ๊ ฃ๊ ก๊ ฃ๊ ›๊ ค๊ ‰๊ †๊ ‰๊ ฃ๊ ˜๊ … ๊ ข๊ ฃ๊ Ÿ ๊ ‡๊ …๊ € ๊ Ž๊ ฃ๊ „ ๊ ˜๊ ฃ` | 30 |
| 5 | `๊ ข๊ ฃ๊ Ÿ ๊ ‡๊ …๊ € ๊ Ž๊ ฃ๊ „ ๊ ˜๊ ฃ ๊ ‡๊ ค๊ ”๊ ฃ` | 30 |
**2-grams (Subword):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `๊ ž _` | 12,277 |
| 2 | `_ ๊ €` | 6,142 |
| 3 | `๊ ˜ _` | 5,686 |
| 4 | `_ ๊ …` | 4,509 |
| 5 | `โ• _` | 3,764 |
**3-grams (Subword):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `_ โ• _` | 2,981 |
| 2 | `๊ € ๊ ž _` | 2,292 |
| 3 | `_ ๊ จ _` | 2,256 |
| 4 | `_ ๊ € ๊ ž` | 2,193 |
| 5 | `_ ๊ … ๊ ` | 1,323 |
**4-grams (Subword):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `_ ๊ € ๊ ž _` | 1,762 |
| 2 | `_ ๊ … ๊ „ _` | 505 |
| 3 | `_ ๊ ๊ ค ๊ Ÿ ๊ ` | 445 |
| 4 | `๊ „ _ โ• _` | 441 |
| 5 | `_ ๊ ๊ ฃ ๊ ” _` | 432 |
**5-grams (Subword):**
| Rank | N-gram | Count |
|------|--------|-------|
| 1 | `_ ๊ ๊ ค ๊ Ÿ ๊ ๊ ค _` | 332 |
| 2 | `_ ๊ ›๊ ฃ๊ ‹ ๊ Ÿ๊ ฃ ๊ –๊ ฆ ๊ ก` | 328 |
| 3 | `_ t h e _` | 326 |
| 4 | `_ ๊ ๊ ค ๊ Ÿ ๊  _` | 284 |
| 5 | `_ ๊ … ๊ „ _ โ•` | 272 |
### Key Findings
- **Best Perplexity:** 2-gram (word) with 691
- **Entropy Trend:** Decreases with larger n-grams (more predictable)
- **Coverage:** Top-1000 patterns cover ~19% of corpus
- **Recommendation:** 4-gram or 5-gram for best predictive performance
---
## 3. Markov Chain Evaluation
![Markov Entropy](visualizations/markov_entropy.png)
![Markov Contexts](visualizations/markov_contexts.png)
![Markov Branching](visualizations/markov_branching.png)
### Results
| Context | Variant | Avg Entropy | Perplexity | Branching Factor | Unique Contexts | Predictability |
|---------|---------|-------------|------------|------------------|-----------------|----------------|
| **1** | Word | 0.5935 | 1.509 | 2.79 | 23,596 | 40.6% |
| **1** | Subword | 1.2552 | 2.387 | 11.97 | 1,427 | 0.0% |
| **2** | Word | 0.0932 | 1.067 | 1.13 | 65,510 | 90.7% |
| **2** | Subword | 0.7555 | 1.688 | 3.82 | 17,071 | 24.4% |
| **3** | Word | 0.0199 | 1.014 | 1.03 | 73,767 | 98.0% |
| **3** | Subword | 0.4929 | 1.407 | 2.25 | 65,171 | 50.7% |
| **4** | Word | 0.0085 ๐Ÿ† | 1.006 | 1.01 | 75,181 | 99.2% |
| **4** | Subword | 0.2650 | 1.202 | 1.49 | 146,673 | 73.5% |
### Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
**Context Size 1:**
1. `๊ €๊ ž ๊ „๊ ก๊ ค๊ € ๊ „๊ ˜๊ †๊ ’๊ ค๊ € ๊ ˜๊ ž๊ …๊ ฆ ๊ „๊ ˜๊ †๊ ’๊ ค๊ €๊ ž๊ ฆ ๊ …๊ ž๊ †๊ •๊ ˜๊ ค๊ ”๊ ค๊ ‡ ๊ ƒ๊ ˜๊ †๊ ˜๊ ”๊ ค๊ ž ๊ Ÿ๊ ฃ๊ ‰๊ ค ๊ „๊ ‡๊ ๊ ฃ ๊ –๊ ค๊ ™๊ ‡๊ †๊ ‡๊ ค ๊ Ÿ๊ „ ๊ ˜๊ ž๊ …๊ ฆ๊ ž ๊ ก๊ ฃ๊ ‹๊ ก๊ †๊ ‡๊ †๊ ž๊ ค๊ ”๊ ค๊ ‡ ๊ …๊ ‚๊ ”๊ ค๊ Ž๊ †๊ Ž๊ Ž๊ ž ๊ „๊ ‰๊ ฅ...`
2. `๊ …๊ „ ๊ €๊ ž ๊ ‡๊ ฅ๊ Ÿ๊ ก๊ ค ๊ € ๊ ‡๊ ฃ๊ ž ๊ Ÿ๊ ฃ๊ ‰๊ ฃ๊ ๊ Ÿ ๊ Ž๊ ฆ๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ก๊ ค๊ ‡๊ †๊ ž๊ ค๊ ” ๊ Œ๊ ฃ๊ ž๊ †๊ ๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ …๊ ’๊ ค๊  ๊ ก๊ š๊ Ÿ๊ ‡๊ ž๊ ค ๊ ข๊ ฆ๊ ก july ๊ ก๊ ฆ๊ ™๊ †๊ ๊ ฆ๊ ๊ †๊ ›๊ ž ฮณ0l9 ๊ ๊ ฃ๊ ”`
3. `๊  ๊ ก๊ ฃ๊ ‹๊ ก๊ †๊ ‡๊ †๊ ž๊ ค๊ ”๊ ค๊ ‡ ๊ …๊ ‚๊ ”๊ ค๊ Ž๊ †๊ Ž๊ Ž๊ ž ๊ „๊ ‰๊ ฅ ๊ š๊ ฅ๊ ž๊ ฃ๊  ๊ Ž๊ ฃ ๊ €๊ ž๊ †๊ Ž๊ ฃ๊ ” ๊ Ÿ๊ ฆ๊ ˆ๊ ฃ๊ ž ๊ –๊ ฃ๊ „ ๊ ˆ๊ ๊ ˜ ๊ „๊ ˆ๊ ก๊ ๊ „ ๊ ›๊ ค๊ €๊ ˜๊ ค๊ ›๊ ฃ๊ Ž๊ ฃ๊ ž๊ ž ๊ ˜๊ ฃ๊  ๊ ”๊ ฃ๊ ž๊ ฃ๊ ž ๊ ก๊ ฃ๊ ๊ Ž๊ †๊ Ž ๊ ก๊ ข๊ Ž๊ ฅ๊ ‰๊ ค...`
**Context Size 2:**
1. `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ vishavan ๊ ๊ ฃ๊ ” ๊ „๊ ก๊ ค๊ € ๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ haitian vodoun cultu...`
2. `๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ guaicaro ๊ ๊ ฃ๊ ” ๊ –๊ ‡๊ †๊ ˜๊ ž ๊ €๊ ๊ ฆ๊ ž๊ ค๊ ‡๊ ฃ ๊ œ๊ ฃ๊ ก๊ ฃ๊ ›๊ ค๊ ‰๊ †๊ ‰๊ ฃ๊ ˜๊ … ๊ ข๊ ฃ๊ Ÿ ๊ ‡๊ …๊ € ๊ Ž๊ ฃ๊ „ ๊ ˜๊ ฃ ๊ ‡๊ ค๊ ”๊ ฃ gaya ๊ ๊ ฃ๊ ” ๊ „๊ ก๊ ค๊ €`
3. `๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ kwสผadza ๊ ๊ ฃ๊ ” ๊ €๊ š๊ †๊ ž๊ ค๊ ‡๊ ฃ ๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ ๊ ˜๊ ฃ๊ „ yugul ๊ ๊ ฃ๊ ” ๊ …๊ ๊ ค๊ €๊ ˜๊ ค๊ € ๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ...`
**Context Size 3:**
1. `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ north picene ๊ ๊ ฃ๊ ” ๊ ๊ ƒ๊ ž๊ ฅ๊ ™ ๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ ๊ ˜๊ ฃ๊ „ jiamao ๊ ๊ ฃ๊ ” ๊ „๊ ก๊ ค...`
2. `๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ mangree ๊ ๊ ฃ๊ ” ๊ €๊ š๊ †๊ ž๊ ค๊ ‡๊ ฃ ๊ œ๊ ฃ๊ ก๊ ฃ๊ ›๊ ค๊ ‰๊ †๊ ‰๊ ฃ๊ ˜๊ … ๊ ข๊ ฃ๊ Ÿ ๊ ‡๊ …๊ € ๊ Ž๊ ฃ๊ „ ๊ ˜๊ ฃ ๊ ‡๊ ค๊ ”๊ ฃ paleo european ๊ ๊ ฃ๊ ” ๊ ๊ ƒ๊ ž๊ ฅ๊ ™ ling...`
3. `๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ kwสผadza ๊ ๊ ฃ๊ ” ๊ €๊ š๊ †๊ ž๊ ค๊ ‡๊ ฃ ๊ œ๊ ฃ๊ ก๊ ฃ๊ ›๊ ค๊ ‰๊ †๊ ‰๊ ฃ๊ ˜๊ ž ๊ ข๊ ฃ๊ Ÿ ๊ ๊ ฃ๊ š ๊ ˜๊ ฃ๊ „ karami ๊ ๊ ฃ๊ ” ๊ …๊ ๊ ค๊ €๊ ˜๊ ค๊ € ๊ œ๊ ฃ๊ ก๊ ฃ๊ ›๊ ค๊ ‰๊ †๊ ‰๊ ฃ๊ ˜๊ … ๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡...`
**Context Size 4:**
1. `๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ mangree ๊ ๊ ฃ๊ ” ๊ €๊ š๊ †๊ ž๊ ค๊ ‡๊ ฃ ๊ œ๊ ฃ๊ ก๊ ฃ๊ ›๊ ค๊ ‰๊ †๊ ‰๊ ฃ๊ ˜๊ … ๊ ข๊ ฃ๊ Ÿ ๊ ‡๊ …๊ € ๊ Ž๊ ฃ๊ „ ๊ ˜๊ ฃ ๊ ‡๊ ค๊ ”๊ ฃ oblo ๊ ๊ ฃ๊ ” ๊ €๊ š๊ †๊ ž๊ ค๊ ‡๊ ฃ ๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜...`
2. `๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ pre arawakan ๊ ๊ ฃ๊ ” of the greater antilles ๊ ƒ๊ ”๊ †๊ ž๊ ž ๊ €๊ ๊ ฆ๊ ž๊ ค๊ ‡๊ ฃ linguistic ๊ ‡๊ ฆ๊ Ÿ...`
3. `๊ ‡๊ ฅ๊ ˜๊ ฅ ๊ ˜๊ ค๊ ž๊ –๊ ค๊ ก๊ †๊  ๊ ‡๊ ฅ๊ ˜๊ †๊ ”๊ ฃ ๊ ›๊ ฃ๊ ”๊ ฃ๊ ๊ Ÿ ๊ ˜๊ ฃ๊ „ cayuse ๊ ๊ ฃ๊ ” ๊ ƒ๊ ”๊ †๊ ž๊ ž ๊ €๊ ๊ ฆ๊ ž๊ ค๊ ‡๊ ฃ ๊ ‡๊ ฆ๊ Ÿ๊ ฃ๊ ก๊ ค๊ š๊ ค๊ ‡๊ ฆ๊ ก๊ ˜ ๊ Ÿ๊ ‚๊ € ๊ ›๊ ฆ๊ ก ๊ ”๊ ‚๊ ”๊ †๊ ” ๊ ˜๊ ฃ๊ „ bhariati ๊ „๊ ก๊ ค...`
### Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
**Context Size 1:**
1. `_๊ Ž_๊ ๊ ž๊ ฃ๊ ˆ๊ ฃ๊ เฅค"_๊ €๊ ๊ ฆ๊ ž๊ ฆ_(เฆฎเง‡`
2. `๊ ž_๊ €๊ ๊ ข๊ ฃ๊ ๊ ฃ๊  ๊ ฃ_โ•_๊ ’๊ ฅ๊ Ž๊ ž๊ ฅ_๊ ”๊ ฃ_`
3. `๊ €๊ Ž๊ ฃ๊ ”_๊ €๊ ž_lasher/๊ ก๊ ฆ๊ ก`
**Context Size 2:**
1. `๊ ž_(bood_iporly,_๊ ›๊ ฆ`
2. `_๊ €๊ Ÿ๊ ฃ๊ –๊ ฃ_๊ ‰๊ ฃ๊ ˜๊ ž๊ …๊ ฆ๊ ž_๊ €๊ ž_๊ €๊ Ÿ_`
3. `๊ ˜_๊ Ž๊ ฃ๊ ”๊ ˜๊ †๊ ”๊ †๊ ž-๊ ‡๊ •๊ ฃ_เฅฅ_๊ ”๊ ฃ๊ ž๊ ฃ๊ ž_`
**Context Size 3:**
1. `_โ•_'๊ ›๊ ๊ …_๊ ๊ ‹๊ Ÿ๊ ค๊ ก:_provk`
2. `๊ €๊ ž_๊ ๊ ค๊ Ÿ๊ _๊ ›๊ †๊ ž๊ ค๊ ๊ ค๊ ก_๊ Ž๊ ฃ๊ ”๊ ค_๊ ๊ ค๊ Ÿ๊ ๊ ค`
3. `_๊ จ_๊ €๊ ˜๊ ฃ๊ ™๊ ฃ๊ „๊ –๊ ฃ๊ ž_(๊ ™๊ ฅ๊ ›_๊ œ๊ ฃ๊ Ÿ๊ ฃ_๊ ”๊ ฅ`
**Context Size 4:**
1. `_๊ €๊ ž_๊ ๊ ค๊ Ÿ๊ _๊ ™๊ †๊ ž๊ Œ๊ ฅ๊ ž_๊ ™๊ ž๊ ค๊ ›๊ ฆ๊ ก๊ …_`
2. `_๊ …๊ „_๊ ˜๊ ฃ_๊ ‡๊ ค๊ ”๊ ฃ_vazimba_=_`
3. `_๊ ๊ ค๊ Ÿ๊ _๊ …๊ ˜๊ †๊ Œ๊ Ÿ_๊ ›๊ ค๊ ๊ ค๊ ก_๊ ž๊ ฃ๊ Ž_๊ €๊ ๊ ค`
### Key Findings
- **Best Predictability:** Context-4 (word) with 99.2% predictability
- **Branching Factor:** Decreases with context size (more deterministic)
- **Memory Trade-off:** Larger contexts require more storage (146,673 contexts)
- **Recommendation:** Context-3 or Context-4 for text generation
---
## 4. Vocabulary Analysis
![Zipf's Law](visualizations/zipf_law.png)
![Top Words](visualizations/top20_words.png)
![Coverage Curve](visualizations/vocab_coverage.png)
### Statistics
| Metric | Value |
|--------|-------|
| Vocabulary Size | 8,518 |
| Total Tokens | 68,093 |
| Mean Frequency | 7.99 |
| Median Frequency | 3 |
| Frequency Std Dev | 28.79 |
### Most Common Words
| Rank | Word | Frequency |
|------|------|-----------|
| 1 | ๊ €๊ ž | 1,780 |
| 2 | ๊ …๊ „ | 671 |
| 3 | ๊  | 569 |
| 4 | ๊ ๊ ฃ๊ ” | 478 |
| 5 | ๊ … | 408 |
| 6 | ๊ ๊ ค๊ Ÿ๊ ๊ ค | 361 |
| 7 | the | 354 |
| 8 | ๊ ๊ ค๊ Ÿ๊  | 347 |
| 9 | ๊ …๊ ž | 303 |
| 10 | ๊ „๊ ‰๊ ฅ | 283 |
### Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|------|------|-----------|
| 1 | ๊ Ÿ๊ ค๊ ๊ †๊  | 2 |
| 2 | ๊ ”๊ ๊ ค๊ Ž | 2 |
| 3 | ๊ ‡๊ ค๊ ž๊ ˜ | 2 |
| 4 | ๊ ๊ ๊ ‡๊ ฅ | 2 |
| 5 | ๊ ž๊ ข๊ ก๊ †๊ ก | 2 |
| 6 | ๊ €๊ ๊ ฃ๊ ๊ ค | 2 |
| 7 | ๊ ข๊ ”๊ †๊ ”๊ ฃ | 2 |
| 8 | ๊ ˜๊ ค๊ ž๊ †๊ –๊ ฆ๊ ก | 2 |
| 9 | ๊ …๊ Ž | 2 |
| 10 | ๊ Œ๊ Ÿ๊ Œ๊ †๊ Œ๊ ค๊ ”๊ †๊ ž | 2 |
### Zipf's Law Analysis
| Metric | Value |
|--------|-------|
| Zipf Coefficient | 0.8800 |
| Rยฒ (Goodness of Fit) | 0.982770 |
| Adherence Quality | **excellent** |
### Coverage Analysis
| Top N Words | Coverage |
|-------------|----------|
| Top 100 | 25.5% |
| Top 1,000 | 59.3% |
| Top 5,000 | 89.5% |
| Top 10,000 | 0.0% |
### Key Findings
- **Zipf Compliance:** Rยฒ=0.9828 indicates excellent adherence to Zipf's law
- **High Frequency Dominance:** Top 100 words cover 25.5% of corpus
- **Long Tail:** -1,482 words needed for remaining 100.0% coverage
---
## 5. Word Embeddings Evaluation
![Embedding Isotropy](visualizations/embedding_isotropy.png)
![Similarity Matrix](visualizations/embedding_similarity.png)
![t-SNE Words](visualizations/tsne_words.png)
![t-SNE Sentences](visualizations/tsne_sentences.png)
### 5.1 Cross-Lingual Alignment
![Alignment Quality](visualizations/embedding_alignment_quality.png)
![Multilingual t-SNE](visualizations/embedding_tsne_multilingual.png)
### 5.2 Model Comparison
| Model | Dimension | Isotropy | Semantic Density | Alignment R@1 | Alignment R@10 |
|-------|-----------|----------|------------------|---------------|----------------|
| **mono_32d** | 32 | 0.2602 | 0.4837 | N/A | N/A |
| **mono_64d** | 64 | 0.0664 | 0.4652 | N/A | N/A |
| **mono_128d** | 128 | 0.0110 | 0.4986 | N/A | N/A |
| **aligned_32d** | 32 | 0.2602 ๐Ÿ† | 0.4847 | 0.0040 | 0.0920 |
| **aligned_64d** | 64 | 0.0664 | 0.4845 | 0.0080 | 0.1160 |
| **aligned_128d** | 128 | 0.0110 | 0.5055 | 0.0120 | 0.1160 |
### Key Findings
- **Best Isotropy:** aligned_32d with 0.2602 (more uniform distribution)
- **Semantic Density:** Average pairwise similarity of 0.4870. Lower values indicate better semantic separation.
- **Alignment Quality:** Aligned models achieve up to 1.2% 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 | **1.860** | 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 |
|--------|----------|
| `-๊ ›` | ๊ ›๊ ฃ๊ …๊ ๊ ™๊ ฅ๊ ž๊ ค, ๊ ›๊ ฃ๊  ๊ ฃ๊ ž, ๊ ›๊ ž๊ †๊ ๊ ค |
| `-๊ ก` | ๊ ก๊ ค๊ ก๊ ๊ , ๊ ก๊ ข๊ ค๊ –, ๊ ก๊ ฅ๊ ›๊ ค๊ —๊ ฃ |
| `-๊ €` | ๊ €๊ ๊ ž๊ ฃ๊ ž๊ ฆ, ๊ €๊ ก๊ Ÿ, ๊ €๊ ž๊ ฃ๊ ๊ ž |
| `-๊ ` | ๊ ๊ ˜๊ ž, ๊ ๊ ค๊ Ÿ๊ ฃ๊ ๊ €, ๊ ๊ ค๊ Ÿ |
| `-๊ ‡` | ๊ ‡๊ ฆ, ๊ ‡๊ ˜๊ †๊ ๊ ž๊ Ÿ, ๊ ‡๊ ˜๊ †๊ ˜๊ ฃ๊ –๊ ฃ๊ ˜ |
| `-๊ ™` | ๊ ™๊ ฅ๊ ž๊ ฃ๊ ˜, ๊ ™๊ †๊ ž๊ ก๊ ฃ๊ ก๊ ˜๊ ค๊ ‡๊ œ๊ ฃ๊ ›๊ ฆ, ๊ ™๊ ฃ๊ ๊ Ÿ๊ ๊ ฃ๊ ๊ ˜๊ †๊ ”๊ ž |
| `-๊ Ž` | ๊ Ž๊ ‚๊ ˜๊ †๊ ”๊ ฃ, ๊ Ž๊ ฆ๊ ๊ Ÿ๊ ฃ, ๊ Ž๊ ฃ๊ –๊ ›๊ ™๊ ฅ๊ ž |
| `-๊ š` | ๊ š๊ ค๊ š๊ ฃ๊ ž, ๊ š๊ ฅ๊ ž๊ ฃ๊ ˜๊ ฃ, ๊ š๊ ฆ๊ ๊ ›๊ ฅ๊ ‡ |
#### Productive Suffixes
| Suffix | Examples |
|--------|----------|
| `-๊ ž` | ๊ š๊ ค๊ š๊ ฃ๊ ž, ๊ ๊ ˜๊ ž, ๊ —๊ ž๊ ๊ ž |
| `-๊ ˜` | ๊ ™๊ ฅ๊ ž๊ ฃ๊ ˜, ๊ ƒ๊ –๊ Ž๊ ฃ๊ ™๊ ˜, ๊ ข๊ ค๊ ˜๊ †๊ –๊ ฅ๊ ก๊ †๊ ”๊ ฃ๊ ˜ |
| `-๊ ”` | ๊ ™๊ ค๊ ”๊ ค๊ ›๊ ค๊ ”, ๊ Ž๊ ฃ๊ ‡๊ ฃ๊ ”, ๊ –๊ ž๊ ‰๊ ฃ๊ ” |
| `-๊ Ÿ` | ๊ €๊ ก๊ Ÿ, ๊ ›๊ Ÿ, ๊ ›๊ ฃ๊ Ÿ๊ ฅ๊ Ÿ |
| `-๊ ‡` | ๊ š๊ ฆ๊ ๊ ›๊ ฅ๊ ‡, ๊ ก๊ ๊ †๊ ™๊ ž๊ †๊ ‡, ๊ „๊ ‡๊ ฃ๊ —๊ ค๊ ‡ |
| `-๊ ”๊ ž` | ๊ ™๊ ฃ๊ ๊ Ÿ๊ ๊ ฃ๊ ๊ ˜๊ †๊ ”๊ ž, ๊ Ž๊ ฆ๊ ‰๊ ฃ๊ ๊ ˜๊ †๊ ”๊ ž, ๊ ก๊ ข๊ ž๊ ฃ๊ ๊ ˜๊ †๊ ”๊ ž |
| `-๊ ๊ ˜` | ๊ ›๊ ค๊ ก๊ †๊ ก๊ ฃ๊ ๊ ค๊ ˜๊ ”๊ ฃ๊ ๊ ˜, ๊ ๊ ๊ †๊ ™๊ ฆ๊ ๊ ˜, ๊ –๊ ค๊ ๊ ๊ ˜ |
| `-๊ ˜๊ ž` | ๊ ๊ ˜๊ ž, ๊ …๊ ›๊ –๊ ฃ๊ ˜๊ ž, ๊ ก๊ ‹๊ ‰๊ ‘๊ ˜๊ ž |
### 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.
*No significant bound stems detected.*
### 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 |
|--------|--------|-----------|----------|
| `-๊ ›` | `-๊ ž` | 52 words | ๊ ›๊ ฃ๊  ๊ ฃ๊ ž, ๊ ›๊ ฃ๊ ‹๊ ‰๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ ž |
| `-๊ ` | `-๊ ž` | 51 words | ๊ ๊ ˜๊ ž, ๊ ๊ ˜๊ †๊ ’๊ Ÿ๊ ž |
| `-๊ ก` | `-๊ ž` | 35 words | ๊ ก๊ ฃ๊ ข๊ ž๊ ค๊ €๊ ž, ๊ ก๊ ฃ๊ ข๊ Ž๊ ฃ๊ Ÿ๊ ฃ๊ Ÿ๊ ฆ๊ ž |
| `-๊ ‡` | `-๊ ž` | 35 words | ๊ ‡๊ ๊ †๊ ™๊ ค๊ ƒ๊ ๊ ฃ๊ ž, ๊ ‡๊ ฃ๊ ƒ๊ ˜๊ †๊ ก๊ ค๊ Ÿ๊ ž |
| `-๊ ™` | `-๊ ž` | 33 words | ๊ ™๊ ฃ๊ ๊ Ÿ๊ ๊ ฃ๊ ๊ ˜๊ †๊ ”๊ ž, ๊ ™๊ ฅ๊ ž๊ ฅ๊ ก๊ †๊ ‡๊ ฃ๊ ž |
| `-๊ Ž` | `-๊ ž` | 31 words | ๊ Ž๊ ฃ๊ –๊ ›๊ ™๊ ฅ๊ ž, ๊ Ž๊ ค๊ €๊ ƒ๊ ž |
| `-๊ €` | `-๊ ž` | 23 words | ๊ €๊ ž๊ ฃ๊ ๊ ž, ๊ €๊ ๊ ค๊ ž |
| `-๊ ›` | `-๊ ˜` | 20 words | ๊ ›๊ ค๊ ก๊ †๊ ก๊ ฃ๊ ๊ ค๊ ˜๊ ”๊ ฃ๊ ๊ ˜, ๊ ›๊ ฃ๊ ‰๊ ฃ๊ ˜ |
| `-๊ ™` | `-๊ ˜` | 19 words | ๊ ™๊ ฅ๊ ž๊ ฃ๊ ˜, ๊ ™๊ †๊ ž๊ ๊ †๊ ˜ |
| `-๊ š` | `-๊ ž` | 19 words | ๊ š๊ ค๊ š๊ ฃ๊ ž, ๊ š๊ Ÿ๊ ฃ๊ ˜๊ ค๊ ž |
### 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 |
|------|-----------------|------------|------|
| ๊ š๊ ฃ๊ ƒ๊ ˜๊ †๊ ’๊ ฆ๊ ก๊ ˜๊ ž | **`๊ š๊ ฃ๊ ƒ๊ ˜๊ †๊ ’๊ ฆ๊ ก-๊ ˜-๊ ž`** | 7.5 | `๊ ˜` |
| ๊ …๊ ก๊ †๊ ๊ ฆ๊ Ÿ๊ ค๊ €๊ ˜ | **`๊ …๊ ก๊ †๊ ๊ ฆ๊ Ÿ๊ ค๊ €-๊ ˜`** | 4.5 | `๊ …๊ ก๊ †๊ ๊ ฆ๊ Ÿ๊ ค๊ €` |
| ๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ …๊ ž | **`๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ …-๊ ž`** | 4.5 | `๊ ›๊ ฃ๊ ‹๊ Ÿ๊ ฃ๊ –๊ ฆ๊ ก๊ …` |
| ๊ ๊ ฃ๊ ๊ †๊ ๊ ฅ๊ ๊ ฃ๊ ž | **`๊ ๊ ฃ๊ ๊ †๊ ๊ ฅ๊ ๊ ฃ-๊ ž`** | 4.5 | `๊ ๊ ฃ๊ ๊ †๊ ๊ ฅ๊ ๊ ฃ` |
| ๊ ๊ ฅ๊ ข๊ ฃ๊ ๊ †๊ ๊ ฃ๊ –๊ ž | **`๊ ๊ ฅ๊ ข๊ ฃ๊ ๊ †๊ ๊ ฃ๊ –-๊ ž`** | 4.5 | `๊ ๊ ฅ๊ ข๊ ฃ๊ ๊ †๊ ๊ ฃ๊ –` |
| ๊ –๊ ค๊ ™๊ ™๊ ฅ๊ ˜๊ †๊ Ž๊ ” | **`๊ –๊ ค๊ ™๊ ™๊ ฅ๊ ˜๊ †๊ Ž-๊ ”`** | 4.5 | `๊ –๊ ค๊ ™๊ ™๊ ฅ๊ ˜๊ †๊ Ž` |
| ๊ ž๊ ›๊ ค๊ ˜๊ †๊ –๊ †๊ ž๊ ˜๊ ฃ๊ •๊ ž | **`๊ ž๊ ›๊ ค๊ ˜๊ †๊ –๊ †๊ ž๊ ˜๊ ฃ๊ •-๊ ž`** | 4.5 | `๊ ž๊ ›๊ ค๊ ˜๊ †๊ –๊ †๊ ž๊ ˜๊ ฃ๊ •` |
| ๊ Ž๊ ˜๊ ก๊ ‹๊ ˆ๊ †๊ Ž๊ ฃ๊ ž | **`๊ Ž๊ ˜๊ ก๊ ‹๊ ˆ๊ †๊ Ž๊ ฃ-๊ ž`** | 4.5 | `๊ Ž๊ ˜๊ ก๊ ‹๊ ˆ๊ †๊ Ž๊ ฃ` |
| ๊ €๊ ๊ ฅ๊ €๊ ”๊ ค๊ ข๊ ž๊ š | **`๊ €-๊ ๊ ฅ๊ €๊ ”๊ ค๊ ข๊ ž๊ š`** | 4.5 | `๊ ๊ ฅ๊ €๊ ”๊ ค๊ ข๊ ž๊ š` |
| ๊ š๊ ค๊ ˜๊ Ÿ๊ ฆ๊ ˜๊ †๊ ’๊ ž | **`๊ š๊ ค๊ ˜๊ Ÿ๊ ฆ๊ ˜๊ †๊ ’-๊ ž`** | 4.5 | `๊ š๊ ค๊ ˜๊ Ÿ๊ ฆ๊ ˜๊ †๊ ’` |
| ๊ Œ๊ ˜๊ †๊ –๊ ž๊ ๊ ฅ๊ ˆ๊ ค๊ ž | **`๊ Œ๊ ˜๊ †๊ –๊ ž๊ ๊ ฅ๊ ˆ๊ ค-๊ ž`** | 4.5 | `๊ Œ๊ ˜๊ †๊ –๊ ž๊ ๊ ฅ๊ ˆ๊ ค` |
| ๊ ™๊ †๊ ž๊ ”๊ ค๊ ก๊ †๊ ‘๊ ฃ๊ ˜ | **`๊ ™๊ †๊ ž๊ ”๊ ค๊ ก๊ †๊ ‘๊ ฃ-๊ ˜`** | 4.5 | `๊ ™๊ †๊ ž๊ ”๊ ค๊ ก๊ †๊ ‘๊ ฃ` |
| ๊ ™๊ ฃ๊ ˜๊ †๊ ’๊ ฅ๊ Ÿ๊ ค๊ ™๊ ค๊ ž | **`๊ ™๊ ฃ๊ ˜๊ †๊ ’๊ ฅ๊ Ÿ๊ ค๊ ™๊ ค-๊ ž`** | 4.5 | `๊ ™๊ ฃ๊ ˜๊ †๊ ’๊ ฅ๊ Ÿ๊ ค๊ ™๊ ค` |
| ๊ ก๊ ›๊ †๊ –๊ ฃ๊ ๊ ˜๊ †๊ ”๊ ž | **`๊ ก๊ ›๊ †๊ –๊ ฃ๊ ๊ ˜๊ †๊ ”-๊ ž`** | 4.5 | `๊ ก๊ ›๊ †๊ –๊ ฃ๊ ๊ ˜๊ †๊ ”` |
| ๊ ™๊ †๊ ž๊ ”๊ ค๊ ก๊ †๊ ‘๊ ฃ๊ ž | **`๊ ™๊ †๊ ž๊ ”๊ ค๊ ก๊ †๊ ‘๊ ฃ-๊ ž`** | 4.5 | `๊ ™๊ †๊ ž๊ ”๊ ค๊ ก๊ †๊ ‘๊ ฃ` |
### 6.6 Linguistic Interpretation
> **Automated Insight:**
The language Sylheti shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
> **Note on Idiomaticity:** The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts.
---
## 7. Summary & Recommendations
![Performance Dashboard](visualizations/performance_dashboard.png)
### Production Recommendations
| Component | Recommended | Rationale |
|-----------|-------------|-----------|
| Tokenizer | **32k BPE** | Best compression (4.02x) |
| N-gram | **2-gram** | Lowest perplexity (691) |
| Markov | **Context-4** | Highest predictability (99.2%) |
| 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) ร— 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.
**Rยฒ (Coefficient of Determination)**
> *Definition:* Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
>
> *Intuition:* Rยฒ near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
>
> *What to seek:* Rยฒ > 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](https://huggingface.co/datasets/omarkamali/wikipedia-monthly) - a monthly snapshot of Wikipedia articles across 300+ languages.
### Project
A project by **[Wikilangs](https://wikilangs.org)** - Open-source NLP models for every Wikipedia language.
### Maintainer
[Omar Kamali](https://omarkamali.com) - [Omneity Labs](https://omneitylabs.com)
### Citation
If you use these models in your research, please cite:
```bibtex
@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
- ๐ŸŒ Website: [wikilangs.org](https://wikilangs.org)
- ๐Ÿค— Models: [huggingface.co/wikilangs](https://huggingface.co/wikilangs)
- ๐Ÿ“Š Data: [wikipedia-monthly](https://huggingface.co/datasets/omarkamali/wikipedia-monthly)
- ๐Ÿ‘ค Author: [Omar Kamali](https://huggingface.co/omarkamali)
- ๐Ÿค Sponsor: [Featherless AI](https://featherless.ai)
---
*Generated by Wikilangs Models Pipeline*
*Report Date: 2026-01-10 23:59:58*