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.
π 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 π | 4.60 | 0.1745% | 155,892 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: ΠΠ΅ΜΠΊΡΠΈΠΊΠ° ( ), ΠΎΡΠΈΡΠΈΠ°Π»ΡΠ½ΠΈ β ΠΠ΅ΠΊΡΠΈΠΊΠ°Ρ
ΠΎΠΉ Π₯Π΅ΡΡΠ° Π¨ΡΠ°ΡΠ°ΡΠΠΠ Π ΠΎΡΡΠΈΠΈ | | ΠΠΠΠ‘ΠΠΠ () β ΠΏΠ°...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΠΌΠ΅ Μ ΠΊΡ ΠΈΠΊΠ° β( β), βΠΎΡΠΈΡΠΈΠ°Π»ΡΠ½ΠΈ ββ βΠΌΠ΅ΠΊΡ ΠΈΠΊΠ° ... (+19 more) |
29 |
| 16k | βΠΌΠ΅ Μ ΠΊΡ ΠΈΠΊΠ° β( β), βΠΎΡΠΈΡΠΈΠ°Π»ΡΠ½ΠΈ ββ βΠΌΠ΅ΠΊΡΠΈΠΊΠ° Ρ
ΠΎΠΉ ... (+17 more) |
27 |
| 32k | βΠΌΠ΅ Μ ΠΊΡ ΠΈΠΊΠ° β( β), βΠΎΡΠΈΡΠΈΠ°Π»ΡΠ½ΠΈ ββ βΠΌΠ΅ΠΊΡΠΈΠΊΠ° Ρ
ΠΎΠΉ ... (+16 more) |
26 |
| 64k | `βΠΌΠ΅ΜΠΊΡΠΈΠΊΠ° β( β), βΠΎΡΠΈΡΠΈΠ°Π»ΡΠ½ΠΈ ββ βΠΌΠ΅ΠΊΡΠΈΠΊΠ°Ρ ΠΎΠΉ βΡ Π΅ΡΡΠ° βΡΡΠ°ΡΠ°ΡΠΌΠΈΠ΄ βΡΠΎΡΡΠΈΠΈ β | ... (+11 more)` |
Sample 2: ΠΠΎΡΡ-ΠΠ°ΠΌ-Π΄Π΅-ΠΠ°ΡΠΈ Π΅ ΠΠ°ΡΠΈΠΆΠ° ΠΠ°ΡΠ»Π° ΠΠ°ΡΠ½Π° ΠΠ»Π³Π°Ρ (, ) β ΠΠ°ΡΠΈΠΆΠ΅ ΠΉΠΎΠ°Π»Π»Π° ΠΊΠ°ΡΠΎΠ»ΠΈΠΊΠΈΠΉ ΡΠ»Π³Π°Ρ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΠ½ ΠΎΡ Ρ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏ Π°ΡΠΈ ... (+27 more) |
37 |
| 16k | βΠ½ΠΎΡ Ρ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏΠ°ΡΠΈ βΠ΅ βΠΏΠ°ΡΠΈ ... (+21 more) |
31 |
| 32k | βΠ½ΠΎΡ Ρ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏΠ°ΡΠΈ βΠ΅ βΠΏΠ°ΡΠΈΠΆΠ° ... (+20 more) |
30 |
| 64k | βΠ½ΠΎΡΡ - Π΄Π°ΠΌ - Π΄Π΅ - ΠΏΠ°ΡΠΈ βΠ΅ βΠΏΠ°ΡΠΈΠΆΠ° βΠ΄Π°ΡΠ»Π° ... (+18 more) |
28 |
Sample 3: Β«ΠΠΈΠΉΡΡ
ΠΎΒ» (Ρ) () β ΡΠ΅ΡΠ° Π³ΣΠ°Π»Π³ΣΠ°ΡΠΊΠ°ΡΠ° Ρ
ΡΠ°ΡΡΠΊΠΊΡ
Π°Μ ΠΣΠ°Π»ΠΌΠ΅ ΡΠ°Ρ
ΡΠ°Ρ ΡΡ
Π° ΠΣΠ°Π»Π³ΣΠ°ΠΉ Π Π΅ΡΠΏΡΠ±...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βΒ« Π½ΠΈΠΉΡ Ρ
ΠΎ Β» β( Ρ ) β() ββ βΡΠ΅ΡΠ° ... (+25 more) |
35 |
| 16k | βΒ« Π½ΠΈΠΉΡ Ρ
ΠΎ Β» β( Ρ ) β() ββ βΡΠ΅ΡΠ° ... (+20 more) |
30 |
| 32k | βΒ« Π½ΠΈΠΉΡΡ
ΠΎ Β» β( Ρ ) β() ββ βΡΠ΅ΡΠ° βΠ³ΣΠ°Π»Π³ΣΠ°Ρ ... (+17 more) |
27 |
| 64k | βΒ« Π½ΠΈΠΉΡΡ
ΠΎ Β» β( Ρ ) β() ββ βΡΠ΅ΡΠ° βΠ³ΣΠ°Π»Π³ΣΠ°ΡΠΊΠ°ΡΠ° ... (+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 π | 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 | Π±Π΅Π»Π³Π°Π»Π΄Π°ΠΊΠΊΡ
Π°Ρ ΡΣΠ°ΡΠΎΠ²ΠΆΠ°ΠΌΠ°Ρ |
415 |
| 2 | Π³ΣΠ°Π»Π³ΣΠ°ΠΉ ΠΌΠ΅Ρ
ΠΊΠ° |
328 |
| 3 | Π· Ρ
Ρ |
315 |
| 4 | Π²Π°ΠΉ Π· |
307 |
| 5 | Ρ
ΡΠ°ΠΆΠ° ΠΈΡΡΡΠ° |
255 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π²Π°ΠΉ Π· Ρ
Ρ |
307 |
| 2 | ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· |
232 |
| 3 | Π½Π°Ρ
Π±Π°Ρ
Π° ΠΌΠΎΡΡΠΈΠ³Π°Ρ |
153 |
| 4 | Ρ
Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ |
130 |
| 5 | Π· Ρ
Ρ ΡΠ΅ΡΠ°Ρ |
130 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ
Ρ |
232 |
| 2 | Π²Π°ΠΉ Π· Ρ
Ρ ΡΠ΅ΡΠ°Ρ |
130 |
| 3 | Π· Ρ
Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ |
130 |
| 4 | Ρ
Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· |
130 |
| 5 | ΡΠ°Ρ
ΡΠ°ΡΠ° Π½Π°Ρ
Π±Π°Ρ
Π° ΠΌΠΎΡΡΠΈΠ³Π°Ρ |
130 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π²Π°ΠΉ Π· Ρ
Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ |
130 |
| 2 | Π· Ρ
Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· |
130 |
| 3 | Ρ
Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ
Ρ |
130 |
| 4 | ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ
Ρ ΡΠ΅ΡΠ°Ρ |
117 |
| 5 | Π³ΣΠ° ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ
Ρ |
100 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π° _ |
75,922 |
| 2 | Π° Ρ |
27,088 |
| 3 | Σ Π° |
26,314 |
| 4 | Π° Π» |
24,378 |
| 5 | Ρ Π° |
24,271 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Ρ
Ρ Π° |
13,086 |
| 2 | Π³ Σ Π° |
13,029 |
| 3 | Π° Ρ _ |
11,108 |
| 4 | Ρ Π° _ |
10,332 |
| 5 | Ρ Π° _ |
9,547 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Π° Ρ Π° _ |
4,962 |
| 2 | Π° Ρ Π° _ |
4,074 |
| 3 | _ Ρ
Ρ Π° |
3,915 |
| 4 | Π³ Σ Π° Π» |
3,870 |
| 5 | Π° Π³ Σ Π° |
3,736 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Ρ
ΠΈ Π½ Π½ Π° |
3,488 |
| 2 | _ Ρ
ΠΈ Π½ Π½ |
3,331 |
| 3 | Π³ Σ Π° Π» Π³ |
3,121 |
| 4 | Σ Π° Π» Π³ Σ |
3,119 |
| 5 | Π° Π» Π³ Σ Π° |
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 π | 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:
Π° Π΄ΠΎΠ»Π°Ρ ΡΠΈΠΉ ΠΉΠΎΠ°Π·ΠΎΠ½Π°ΡΡΠ° ΡΠΊΡΠ΅ Π»Π΅Π»Π°Ρ Ρ ΡΠ» ΡΡ ΡΠ°ΠΉΠΎΠ»ΡΠ° Ρ Π°Π½Π° Π΄Π΅Π½Π· ΡΡΠ½ Π±ΠΈΠ·Π½Π΅Ρ Π΄Π΅Π³ΣΠ°ΠΊΡ ΡΠ²Π»Π°ΡΠ° Π΄ΡΠΊΡ Π° ΠΌΠ΅Ρ ΠΊΠ°ΡΠΈΠΉ Π°ΠΌ...Ρ Π»ΠΎΠ°ΠΌ ΠΆΣΠ°ΠΉΡΠ°Ρ Π° ΡΠ°Ρ ΡΠ°ΡΠ΅ Ρ Π°ΡΠ΄Π°Π³ΣΠΈΠΉ ΠΌΠΎΡΡ Ρ ΡΠ΅Ρ Π°Ρ Π°ΡΠ»ΡΠ΅ ΡΡΡΠ° Ρ ΡΠΈΡΠ°ΠΏΠ΅ ΠΌΠΎΡΡΠΈΠ³ Ρ ΠΈΠ½Π½Π°ΠΉ ΡΠ΅ΡΠ° ΠΌΠ°Π»ΡΡΠ°Π³ΠΎΠ² Π΄ΠΎΡΠ»Ρ...Π³ΣΠ°Π»Π³ΣΠ°ΠΉ ΠΌΠΎΡ ΠΊ Π±Π°ΡΠΊΠΊΡ Π°Μ Π²Π°ΜΠ³ΣΠ°ΡΠ° ΠΌΠΎΠ°ΡΡΠ°Π³ΣΡΡΠ½Π³Π° ΠΏΠ°ΡΠ³ΣΠ°ΡΠ° ΠΌΠ° Π΄Π°ΡΡΠ° Π°ΡΠ»ΡΠ° Π³ΣΠ°Π»Π³ΣΠ°ΡΠ° ΠΊΡΠ°ΡΡΡΡΠ° ΠΊΡΠ±ΡΠΈΠΉ ΠΏΡ ΡΠ°...
Context Size 2:
Π±Π΅Π»Π³Π°Π»Π΄Π°ΠΊΠΊΡ Π°Ρ ΡΣΠ°ΡΠΎΠ²ΠΆΠ°ΠΌΠ°Ρ ΡΠ΅Π±ΠΎΡΠ°ΡΠ΅Π² Π° ΠΈ ΡΠΎΠ±Π°ΠΊΠΈΠ΄Π·Π΅ΠΈ Π΄Π°ΡΡΠ° ΡΠΎΡ ΠΊΠ°ΠΌΠ΅Ρ ΡΠ°ΡΠΏΠΏΠΈΠΉ ΠΊΡ Π°ΡΠΊΡ Π°Π»ΠΎΠ΅Ρ Π΅ ΣΠ°Π΄Π°ΡΠ΅Ρ Π° Π΅ ...Π³ΣΠ°Π»Π³ΣΠ°ΠΉ ΠΌΠ΅Ρ ΠΊΠ° ΠΏΠ°ΡΡΠ°Ρ ΡΠ°Π»ΠΊΡΠ΅Π½ ΡΠΈΠ»Π°ΡΠΌΠΎΠ½ΠΈ Ρ Π°ΠΌΡ ΠΎΠΉ Π°Ρ ΡΠΌΠ°Π΄Π° ΡΣΠ΅ΡΠ°Π³ΣΠ° Ρ ΡΡΡ Π»Π°ΡΡ ΠΆΣΠ°ΠΉΡΠ°Ρ ΠΎΠΉ Π±Π°ΡΡ Π° ΠΌΠΎΡΡΠΈΠ³ ΡΠ»Π»...Π· Ρ Ρ 590 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ 390 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ vii Π±ΣΠ°ΡΡΡ 600 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ xcix
Context Size 3:
Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ xxx xxix xxviii xxvii xxvi xxv xxiv xxiii xxii xxi 2ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ 830 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ 7 ΡΡ i Π±ΣΠ°ΡΡΠ΅ΡΠ°Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ
Context Size 4:
ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ 720 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ 50 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π·Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ 400 Π³ΣΠ° ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ ΡΠ· Ρ Ρ ΡΠ΅ΡΠ°Ρ Π²Π°ΠΉ Π· Ρ Ρ xiv Π±ΣΠ°ΡΡΡ Π²Π°ΠΉ Π· Ρ Ρ ΡΣΠ°ΡΠΎΠ²ΠΆΠ°ΠΌΠ°Ρ
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
Π°Ρ_Π΄Π½Π΄ΠΎΠ»Π΅Π³Π°_Π°ΡΠ°Π»_ΠΊΠΎΠ°,_β_Β«ΡΡ ΡΠ΅ΡΠΌΠΈΠΎΠ°Π»Π»Π³_ΠΏΡΠ³ΣΠ΅._ΠΌΠ°ΠΏ
Context Size 2:
Π°_ΡΠΈΠΉΡΠ΅ΠΈ_Π±Π΅._Ρ ΡΠ°_Π°ΡΡ ΠΎΠΉΠΈΡ Π°_Ρ ΡΠ΄ΠΆΠ°ΠΌΠ°ΣΣΠ°ΠΉΡΠ°_Ρ Π°ΡΠ·ΡΠΊΠ½ΠΎΡΠΈ_
Context Size 3:
Ρ ΡΠ°Π»ΠΊΡ Π°Ρ_ΡΣΠ°_β_Β«Π±ΣΠ³ΣΠ°Π»Π°Ρ ΠΎΠ΄ΠΊΡΠΌΠ΅Π½Π½Π°_Π±Π°Π°Ρ_Π»Π΅Π»Π°Π»_Ρ Π°ΜΠ½Π½Π°ΠΉ._Π±
Context Size 4:
Π°ΡΠ°_Π°ΡΠ°Ρ ΠΎΠΉ_2_ΠΎΠ±ΠΎΠ·Π½Π°Π°ΡΠ°_ΠΌΠ΅ΠΆΠ΄Ρ_ΠΈΠ·,_Π½ΠΎΡ ΡΠΈ_Ρ ΡΠ°ΡΡ Π°ΡΠ°_Π±Π°Π³Π°ΡΠ³Π°_Ρ
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 | Π° | 6,393 |
| 2 | Ρ | 2,455 |
| 3 | Π³ΣΠ°Π»Π³ΣΠ°ΠΉ | 2,253 |
| 4 | ΠΈΠ· | 2,010 |
| 5 | ΡΠ΅ΡΠ° | 1,966 |
| 6 | Π΄Π° | 1,931 |
| 7 | ΠΈ | 1,329 |
| 8 | Π±Π΅Π»Π³Π°Π»Π΄Π°ΠΊΠΊΡ Π°Ρ | 1,258 |
| 9 | Π² | 1,233 |
| 10 | ΡΣΠ° | 1,139 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | ΠΎΡΠΈΠ΅Π½ΡΠ°Π»ΡΠ½ΠΈ | 2 |
| 2 | Π±Π°Π»ΡΠΈΠΉ | 2 |
| 3 | Π»ΠΎΡΠ°Π»Π°Μ | 2 |
| 4 | ΠΊΡ Π΅ΡΠ°ΠΌΠ·Π΅ΠΈ | 2 |
| 5 | wie | 2 |
| 6 | Π΄Π°ΡΠ±Π°Π½ΡΠ°Ρ | 2 |
| 7 | Π»Π΅Π³Π°Π»ΠΈΠ·Π°ΡΠΈ | 2 |
| 8 | ΡΠ΅Π»ΠΈΡΠ΅Π»ΠΈ | 2 |
| 9 | ΠΏΡΠ°ΠΊΡΠΈΠΊΠ°Ρ | 2 |
| 10 | Π»ΠΎΡΠ°Π»Π³Π°Ρ Ρ | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.0116 |
| RΒ² (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: RΒ²=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 π | 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 |
|---|---|
-Π΄ |
Π΄ΠΈΠΉΡ ΠΊΠ°, Π΄ΠΎΠ²ΡΠ°, Π΄Π°ΡΡΠΆΠ°ΠΈ |
-ΠΊ |
ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΡΠΌ, ΠΊΣΠΎΡΠΈΠ³Π°Π½Π°ΡΠΊΡΠ°Π½, ΠΊΠΎΠ΄Π΅ΠΊΡΠ° |
-Ρ |
ΡΡΠ»Π°ΠΊ, ΡΠΎΠΌΠ°Π»ΠΈ, ΡΡΠ°ΡΡΡΡ |
-Π± |
Π±ΡΠ½Π°ΠΊ, Π±Π΅ΡΠ°ΡΡΠ°, Π±Π΅Π»Π³Π°Π»ΡΠ΅Ρ |
-ΠΌ |
ΠΌΡΡΡΠ»ΡΠΌΠ°Π½Π°ΠΌΠΈ, ΠΌΡΡ ΡΠ°ΡΠΎΠ²Π°, ΠΌΠ°Π»ΡΡΠ° |
-Π° |
Π°ΡΡΡΠ°Π»Π΅, Π°ΡΡΡΠ°, Π°ΠΌΡ Π°ΡΠΎΠΉ |
-Ρ |
ΡΣΠ°Ρ ΡΠ΅Π»Ρ Π°Ρ, ΡΠ°ΠΉΠΏΠΎΠ²ΠΎΠ³ΠΎ, ΡΠΈΠΉΠ½Π° |
-Ρ
ΡΠ° |
Ρ ΡΠ°Π»Ρ Π°Π΄ΠΎΠ°Ρ Π°Ρ, Ρ ΡΠ°Π»Ρ Π°ΡΠΊΠ°ΡΡΠ°, Ρ ΡΠ°ΡΡΠ° |
Productive Suffixes
| Suffix | Examples |
|---|---|
-Π° |
ΠΎΠ±ΡΠΈΠ½Π°, ΠΌΡΡ ΡΠ°ΡΠΎΠ²Π°, ΡΡ Ρ ΡΠ°Π½ΡΠ°ΡΡΠ° |
-ΠΈ |
ΠΌΡΡΡΠ»ΡΠΌΠ°Π½Π°ΠΌΠΈ, ΠΆΠΈΠ³ΡΠ»ΠΈ, ΡΠΊΠ·ΠΎΡΠ΅ΡΠΌΠΈΡΠ΅ΡΠΊΠΈ |
-ΠΉ |
Π»Π΅Π·Π³ΠΈΠ½ΡΠΊΠΈΠΉ, ΡΠ΅Π³ΡΠ»ΡΡΠ½ΡΠΉ, Π°ΠΌΡ Π°ΡΠΎΠΉ |
-Π°Ρ |
ΡΣΠ°Ρ ΡΠ΅Π»Ρ Π°Ρ, Π²ΠΎΠ°Π³ΣΠ°Ρ, ΡΡ Π°ΡΠ°Ρ |
-Ρ |
ΡΣΠ°Ρ ΡΠ΅Π»Ρ Π°Ρ, Π²ΠΎΠ°Π³ΣΠ°Ρ, ΡΡ Π°ΡΠ°Ρ |
-Π΅ |
Π°ΡΡΡΠ°Π»Π΅, ΠΉΠΎΠ»Π°Π΅, ΣΠΎΠΌΠ°Π΄Π΅ |
-ΠΈΠΉ |
Π»Π΅Π·Π³ΠΈΠ½ΡΠΊΠΈΠΉ, ΠΊΡΠ°ΡΡΠΈΠΉ, ΡΠΎΠ²Π΅ΡΡΠΊΠΈΠΉ |
-ΡΠ° |
ΡΡ Ρ ΡΠ°Π½ΡΠ°ΡΡΠ°, ΠΉΠΎΠ»Π°Π»ΡΡΠ°, Ρ ΡΠΎΠ³Π΄Π΅Π½Π½Π°ΡΠ° |
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 |
|---|---|---|---|
ΠΊΠΊΡ
Π° |
1.67x | 69 contexts | ΡΠΊΠΊΡ Π°, ΠΉΠΎΠΊΠΊΡ Π°, Π°ΡΠΊΠΊΡ Π° |
ΡΠΊΡΠ° |
1.96x | 30 contexts | ΡΠ°ΡΠΊΡΠ°, ΣΠ°ΡΠΊΡΠ°, Π΄Π°ΡΠΊΡΠ° |
Ρ
ΡΠ°Ρ |
1.58x | 67 contexts | ΠΏΡ ΡΠ°Ρ, Ρ ΡΠ°ΡΠΏ, Ρ ΡΠ°ΡΠΌΠ΅ |
Π°ΠΌΠ°Ρ |
1.70x | 45 contexts | ΡΠ°ΠΌΠ°Ρ, Π·Π°ΠΌΠ°Ρ, ΣΠ°ΠΌΠ°Ρ |
Ρ
Π°ΡΠ° |
1.85x | 28 contexts | ΡΡ Π°ΡΠ°, ΡΡ Π°ΡΠ°, ΠΊΡ Π°ΡΠ° |
ΠΈΠ½Π½Π° |
1.92x | 24 contexts | Ρ ΠΈΠ½Π½Π°, ΡΠΈΠ½Π½Π°, Ρ ΠΈΠ½Π½Π°Ρ |
Π°ΡΠΊΡ |
1.78x | 30 contexts | Π½Π°ΡΠΊΡ, Π΄Π°ΡΠΊΡ, ΡΠ°ΡΠΊΡΠ° |
Π°ΠΊΠΊΡ
|
1.89x | 24 contexts | Π±ΠΎΠ°ΠΊΠΊΡ , Π²ΠΎΠ°ΠΊΠΊΡ , ΡΠ°ΠΊΠΊΡ Π΅ |
ΠΊΡ
Π°Ρ |
1.70x | 33 contexts | ΠΊΡ Π°ΡΡ, Π΄Π΅ΠΊΡ Π°Ρ, Π°ΠΊΡ Π°ΡΠ΅ |
Π°Ρ
ΡΠ° |
1.38x | 55 contexts | ΠΊΡ Π°Ρ ΡΠ°, Π°ΡΠ°Ρ ΡΠ°, Π΄Π°Ρ ΡΠ°Ρ |
Π»Π³Π°Π» |
1.78x | 21 contexts | ΠΊΡΠ»Π³Π°Π», Π±Π΅Π»Π³Π°Π», Π±Π΅Π»Π³Π°Π»Π° |
Ρ
ΠΈΠ½Π½ |
1.93x | 16 contexts | Ρ ΠΈΠ½Π½Π°, Ρ ΠΈΠ½Π½Π°Ρ, Ρ ΠΈΠ½Π½Π°Π΄ |
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 |
|---|---|---|---|
-Π΄ |
-Π° |
176 words | Π΄Π»ΠΈΠ½Π°, Π΄Π΅ΡΠ°Π³Π°ΡΠ° |
-ΠΊ |
-Π° |
148 words | ΠΊΣΠ΅Π·ΠΈΠ³Π°Π³ΣΠ°, ΠΊΠ΅ΠΏΠ°Π³ΣΠ° |
-Π± |
-Π° |
110 words | Π±Π°ΡΠ»ΡΠ°, Π±ΠΈΠΉΡΡΠ° |
-ΠΌ |
-Π° |
104 words | ΠΌΠ°Π»Ρ Π±ΠΎΠ°Π»Π΅Π³Π°, ΠΌΡΠΊΡ Π° |
-Π³ |
-Π° |
91 words | Π³ΣΠ°Π»Π³ΣΠ°ΠΉΡΠ΅Π½Π½Π°, Π³Π°Π»Π°ΡΠΊΠ°ΡΡ ΠΎΡΠ° |
-Ρ |
-Π° |
80 words | ΡΠ°ΠΉΠΏΠ°ΡΡΠ°, ΡΣΠ°ΡΠ³Π°ΠΌΠ°ΡΠ° |
-Π° |
-Π° |
79 words | Π°ΡΠ°Π΄ΠΈΠΉΠ½Π°, Π°ΡΠ°Ρ Π΅ΡΠ°ΡΡΠ° |
-ΠΏ |
-Π° |
67 words | ΠΏΡΠΈΠ½ΡΠΈΠΏΠ°ΡΠ°, ΠΏΡΠΎΠΈΠ·Π²Π΅Π΄Π΅Π½Π΅ΡΠ° |
-Ρ |
-Π° |
61 words | ΡΠ΅ΠΊΡΠ΅ΡΠ°ΡΠ°, ΡΡΠ° |
-ΠΊ |
-ΠΈ |
59 words | ΠΊΠ»Π°Π²ΠΈΡΠΈ, ΠΊΡΠΈΡΠΈΡΠ΅ΡΠΊΠΈ |
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 |
|---|---|---|---|
| ΡΠΎΠ»Π»Π°Π³ΣΡΠΎΡ | ΡΠΎΠ»Π»Π°Π³ΣΡ-ΠΎ-Ρ
|
7.5 | ΠΎ |
| ΠΊΠ΅ΠΏΠ°ΡΠ΅Ρ Π°ΡΠ° | ΠΊΠ΅ΠΏΠ°ΡΠ΅Ρ
-Π°-ΡΠ° |
7.5 | Π° |
| ΠΊΡΠ»Π³Π°Π»Π΄Π°ΡΠ° | ΠΊΡΠ»Π³Π°Π»Π΄-Π°-ΡΠ° |
7.5 | Π° |
| Π±Π°ΡΡΠ°ΠΊΠΎΠΌΠ°Ρ | Π±Π°ΡΡΠ°ΠΊΠΎ-ΠΌ-Π°Ρ |
7.5 | ΠΌ |
| Π΄ΣΠ°ΡΠΈΠ»Π»Π°ΠΉ | Π΄ΣΠ°ΡΠΈΠ»Π»-Π°-ΠΉ |
7.5 | Π° |
| Π½Π°ΡΠΊΡΠ°Ρ ΠΎΠΈ | Π½Π°ΡΠΊΡΠ°Ρ
-ΠΎ-ΠΈ |
7.5 | ΠΎ |
| ΠΈΡΠ±Π°Ρ ΡΠ»Π΅Π½ | ΠΈΡΠ±Π°Ρ
Ρ-Π»-Π΅Π½ |
7.5 | Π» |
| ΠΊΠΈΡΠΈΠ»Π»ΠΈΡΠ°ΠΉ | ΠΊΠΈΡΠΈΠ»Π»ΠΈΡ-Π°-ΠΉ |
7.5 | Π° |
| Π»Π°ΡΡΠ°Π½Π΄Π°Ρ | Π»Π°ΡΡΠ°Π½Π΄-Π°-Ρ |
7.5 | Π° |
| Π³ΣΠ°Π»Π³ΣΠ°ΡΠΊΠ°ΡΠ° | Π³ΣΠ°Π»Π³ΣΠ°Ρ-ΠΊΠ°-ΡΠ° |
7.5 | ΠΊΠ° |
| Π³ΣΠΎΠ°Π·ΠΎΡΠ°ΡΠ° | Π³ΣΠΎΠ°Π·ΠΎΡ-Π°-ΡΠ° |
7.5 | Π° |
| ΠΌΠΎΡΡΠΈΠ³Π°ΡΠΊΠ°ΡΠ° | ΠΌΠΎΡΡΠΈΠ³Π°Ρ-ΠΊΠ°-ΡΠ° |
7.5 | ΠΊΠ° |
| Ρ ΡΠ°ΡΠ°ΠΊΠ°ΡΠ° | Ρ
ΡΠ°ΡΠ°-ΠΊΠ°-ΡΠ° |
7.5 | ΠΊΠ° |
| ΠΌΠ°Π»Ρ Π±ΠΎΠ°Π»Π΅Ρ ΡΠ°ΠΈ | ΠΌΠ°Π»Ρ
Π±ΠΎΠ°Π»Π΅Ρ
Ρ-Π°-ΠΈ |
7.5 | Π° |
| ΡΠ΅ΡΠΏΡΠ±Π»ΠΈΠΊΠ°ΡΠ° | ΡΠ΅ΡΠΏΡΠ±Π»ΠΈΠΊ-Π°-ΡΠ° |
7.5 | Π° |
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) Γ 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.
RΒ² (Coefficient of Determination)
Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
Intuition: RΒ² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
What to seek: RΒ² > 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
- π Website: wikilangs.org
- π€ Models: huggingface.co/wikilangs
- π Data: wikipedia-monthly
- π€ Author: Omar Kamali
- π€ Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-10 04:22:21



















