Navajo - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Navajo 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 | 3.313x | 3.32 | 0.7428% | 222,258 |
| 16k | 3.483x | 3.49 | 0.7810% | 211,391 |
| 32k | 3.612x | 3.62 | 0.8101% | 203,814 |
| 64k | 3.722x π | 3.73 | 0.8346% | 197,818 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: TΓ³ΕΓ‘nΓ KΚΌish ChΚΌΓnΓtΚΌiΚΌ TsΓ© ChʼééchiiΚΌ yishtΕizhii
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βtΓ³ΕΓ‘nΓ βk ΚΌ ish βch ΚΌ ΓnΓt ΚΌ i ΚΌ ... (+7 more) |
17 |
| 16k | βtΓ³ΕΓ‘nΓ βk ΚΌ ish βch ΚΌ ΓnΓt ΚΌ i ΚΌ ... (+6 more) |
16 |
| 32k | βtΓ³ΕΓ‘nΓ βk ΚΌ ish βch ΚΌ ΓnΓt ΚΌ i ΚΌ ... (+6 more) |
16 |
| 64k | βtΓ³ΕΓ‘nΓ βk ΚΌ ish βch ΚΌ ΓnΓt ΚΌ i ΚΌ ... (+6 more) |
16 |
Sample 2: Naakaii DootΕΚΌizhii BikΓ©yahdΔΜΔΜΚΌ lΓ³kΚΌaatah naaΚΌahΓ³Γ³hai TsiiΚΌyishbizhΓ DineΚΌΓ© Bi...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βnaakaii βdootΕ ΚΌ izhii βbikΓ©yahdΔΜΔΜ ΚΌ βlΓ³k ΚΌ aatah βnaa ... (+16 more) |
26 |
| 16k | βnaakaii βdootΕ ΚΌ izhii βbikΓ©yahdΔΜΔΜ ΚΌ βlΓ³k ΚΌ aatah βnaa ... (+16 more) |
26 |
| 32k | βnaakaii βdootΕ ΚΌ izhii βbikΓ©yahdΔΜΔΜ ΚΌ βlΓ³k ΚΌ aatah βnaa ... (+16 more) |
26 |
| 64k | βnaakaii βdootΕ ΚΌ izhii βbikΓ©yahdΔΜΔΜ ΚΌ βlΓ³k ΚΌ aatah βnaa ... (+16 more) |
26 |
Sample 3: AzeeΚΌ haajinΓtsoh AzeeΚΌ haajinΓtsΚΌΓ³Γ³z AzeeΚΌ haajinΓ ΕibΓ‘hΓgΓΓ
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βazee ΚΌ βhaajinΓ tsoh βazee ΚΌ βhaajinΓ ts ΚΌ Γ³Γ³z ... (+4 more) |
14 |
| 16k | βazee ΚΌ βhaajinΓ tsoh βazee ΚΌ βhaajinΓ ts ΚΌ Γ³Γ³z ... (+4 more) |
14 |
| 32k | βazee ΚΌ βhaajinΓtsoh βazee ΚΌ βhaajinΓ ts ΚΌ Γ³Γ³z βazee ... (+3 more) |
13 |
| 64k | βazee ΚΌ βhaajinΓtsoh βazee ΚΌ βhaajinΓts ΚΌ Γ³Γ³z βazee ΚΌ ... (+2 more) |
12 |
Key Findings
- Best Compression: 64k achieves 3.722x compression
- Lowest UNK Rate: 8k with 0.7428% 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 | 1,012 | 9.98 | 12,895 | 47.2% | 81.9% |
| 2-gram | Subword | 222 π | 7.79 | 1,668 | 72.2% | 99.8% |
| 3-gram | Word | 2,466 | 11.27 | 30,460 | 36.6% | 67.1% |
| 3-gram | Subword | 858 | 9.74 | 13,690 | 41.6% | 89.2% |
| 4-gram | Word | 5,133 | 12.33 | 61,517 | 29.9% | 56.5% |
| 4-gram | Subword | 1,964 | 10.94 | 55,169 | 29.2% | 77.2% |
| 5-gram | Word | 7,471 | 12.87 | 67,722 | 25.5% | 51.1% |
| 5-gram | Subword | 3,279 | 11.68 | 102,677 | 23.7% | 69.1% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ndaΚΌaΕkaahΓ dΓ³Γ³ |
18,966 |
| 2 | dóó ééʼdeetįįhii |
18,949 |
| 3 | ééʼdeetįįhii éà |
18,878 |
| 4 | ÑÑdóó éà |
18,437 |
| 5 | dah yikahjΓ |
18,133 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii |
18,948 |
| 2 | dóó ééʼdeetįįhii éà |
18,878 |
| 3 | dah yikahjΓ atah |
18,128 |
| 4 | Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ
ΚΌ |
16,794 |
| 5 | dΓ³Γ³ bichΚΌiyΔ
ΚΌ dΓΓ |
16,604 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà |
18,877 |
| 2 | Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ
ΚΌ dΓΓ |
16,603 |
| 3 | dah yikahjΓ atah yisdzoh |
15,997 |
| 4 | atah yisdzoh ÑÑdóó éà |
13,441 |
| 5 | yikahjà atah yisdzoh ÑÑdóó |
13,428 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | dah yikahjà atah yisdzoh ÑÑdóó |
13,428 |
| 2 | yikahjà atah yisdzoh ÑÑdóó éà |
13,421 |
| 3 | hΓ³lΗ«Μ ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà |
13,312 |
| 4 | deiΕnΓigo dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ
ΚΌ |
12,295 |
| 5 | dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ
ΚΌ dΓΓ |
12,263 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Γ _ |
362,053 |
| 2 | _ d |
273,921 |
| 3 | Γ© Γ |
184,110 |
| 4 | _ Γ© |
173,881 |
| 5 | _ b |
173,418 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | Γ© Γ _ |
182,329 |
| 2 | _ b i |
160,761 |
| 3 | _ Γ© Γ |
154,684 |
| 4 | Γ³ Γ³ _ |
132,006 |
| 5 | d Γ³ Γ³ |
123,733 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ Γ© Γ _ |
154,592 |
| 2 | d Γ³ Γ³ _ |
123,699 |
| 3 | _ d Γ³ Γ³ |
98,895 |
| 4 | Γ g Γ Γ |
52,301 |
| 5 | g Γ Γ _ |
51,425 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ d Γ³ Γ³ _ |
98,891 |
| 2 | Γ g Γ Γ _ |
51,394 |
| 3 | Γ _ d Γ³ Γ³ |
48,361 |
| 4 | i _ Γ© Γ _ |
38,726 |
| 5 | d Γ³ Γ³ _ Γ© |
38,444 |
Key Findings
- Best Perplexity: 2-gram (subword) with 222
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~69% 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 | 0.5447 | 1.459 | 3.56 | 37,020 | 45.5% |
| 1 | Subword | 1.0994 | 2.143 | 8.42 | 395 | 0.0% |
| 2 | Word | 0.2649 | 1.202 | 1.82 | 130,895 | 73.5% |
| 2 | Subword | 1.0039 | 2.005 | 6.61 | 3,325 | 0.0% |
| 3 | Word | 0.1801 | 1.133 | 1.46 | 235,498 | 82.0% |
| 3 | Subword | 0.8364 | 1.786 | 3.94 | 21,977 | 16.4% |
| 4 | Word | 0.1277 π | 1.093 | 1.29 | 339,354 | 87.2% |
| 4 | Subword | 0.5506 | 1.465 | 2.29 | 86,495 | 44.9% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
éà Εigai baʼÑÑdΓgΓà éà kΓ©yah dah ndaaΚΌeeΕΓ ΕΓ‘nΓdΔΜΔΜΚΌ tΕΚΌiish dah yikahjΓ atah yisdzoh ÑÑdΓ³Γ³ éà chΚΌi...dΓ³Γ³ chΚΌaΕ dootΕΚΌizhΓ bikΓ©daayahdi tΚΌΓ©iyΓ‘ hΓ³lΗ«Μ ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà diΕhiΕ shΓ‘diʼÑÑh dΓ³Γ³ ...dah daalgai bitsiitsΚΌiin éà nahasdzÑÑn tʼÑÑ dΓkwΓΓ mm Γ‘nΓΕtso bitsΚΌΓΓs éà yΓ³tΚΌΓ‘ahdi tsΓdii tsΓdΓgΓΓ ...
Context Size 2:
ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà certhilauda benguelensis deiΕnΓigo dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ ΚΌ...dΓ³Γ³ ééʼdeetΔ―Δ―hii éà euscarthmus rufomarginatus deiΕnΓigo dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ ΚΌ dΓΓ naΚΌas...ééʼdeetΔ―Δ―hii éà rhamphiophis oxyrhynchus deiΕnΓigo dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ ΚΌ dΓΓ tsΓdii bikΔ ...
Context Size 3:
ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà dendropsophus koechlini deiΕnΓigo dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ ΚΌ ...dΓ³Γ³ ééʼdeetΔ―Δ―hii éà ptilopsis leucotis deiΕnΓigo dayΓ³zhΓ Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ ΚΌ dΓΓ tΕΚΌiish éà 30...dah yikahjΓ atah yisdzoh ÑÑdΓ³Γ³ éà naakaii ΕizhinΓ bikΓ©yahdi hΓ³lΗ«Μ ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà xe...
Context Size 4:
ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼdeetΔ―Δ―hii éà dendrolagus deiΕnΓigo deiyΓ³zhΓ dΓΓ nahatΚΌeΚΌiitsoh éà 17 aΕΚΌΔ Δ Γ‘daatΚΌ...Γ‘noolinΓgΓΓ dΓ³Γ³ bichΚΌiyΔ ΚΌ dΓΓ naΚΌashΗ«ΜΚΌii éà 4 5di asdzoh Γ‘nΓΕtso bitsΚΌΓΓs éà chΚΌilgo dootΕΚΌizh bits...dah yikahjΓ atah yisdzoh ÑÑdΓ³Γ³ éà magΓ bitseeΚΌ noodΗ«ΜzΓ bikΓ©yahdi tΚΌΓ©iyΓ‘ hΓ³lΗ«Μ ndaΚΌaΕkaahΓ dΓ³Γ³ ééʼde...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_bΓ©ΓΓgaiy_"_yaΚΌ_i_yΔ ΚΌΓ©Γ©Γ_ttΔ Μ._Γ©eΓ_Γ©Γ_Γ©Γ_tsh_ÑÑÑʼ
Context Size 2:
Γ_dΓ³Γ³_atahdΔΜΔΜΚΌ_yΔΜ_dΓ³Γ³_binΓ‘hooly_ooΓ©Γ_bitoΚΌ_atah_yik
Context Size 3:
Γ©Γ_naaΚΌaΕkaahΓ_Γ©Γ__bitΕΚΌaahjΓ_kΓ©lchΓ_Γ©Γ_naaznilzhin;_b
Context Size 4:
_Γ©Γ_naashchΚΌΔ Δ ΚΌ_Γ©Γ_dΓ³Γ³_Γ©Γ_hΓ³lΗ«Μ._ndaΚΌaΕ_dΓ³Γ³_ééʼdeetΔ―Δ―hii_Γ©
Key Findings
- Best Predictability: Context-4 (word) with 87.2% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (86,495 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 15,109 |
| Total Tokens | 1,314,110 |
| Mean Frequency | 86.98 |
| Median Frequency | 4 |
| Frequency Std Dev | 1812.30 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | éà | 176,805 |
| 2 | dΓ³Γ³ | 99,009 |
| 3 | dah | 28,837 |
| 4 | dΓΓ | 25,092 |
| 5 | bichΚΌiyΔ ΚΌ | 23,153 |
| 6 | ÑÑdóó | 21,278 |
| 7 | ndaΚΌaΕkaahΓ | 19,035 |
| 8 | ééʼdeetįįhii | 18,949 |
| 9 | deiΕnΓigo | 18,893 |
| 10 | atah | 18,728 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | milano | 2 |
| 2 | prΓncipe | 2 |
| 3 | butiama | 2 |
| 4 | Γ Ιokun | 2 |
| 5 | yΓ | 2 |
| 6 | azΙ | 2 |
| 7 | Γ kpΙΜ | 2 |
| 8 | gbΙΜ | 2 |
| 9 | panafrikan | 2 |
| 10 | modèle | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.3602 |
| RΒ² (Goodness of Fit) | 0.987051 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 72.4% |
| Top 1,000 | 93.5% |
| Top 5,000 | 97.8% |
| Top 10,000 | 99.2% |
Key Findings
- Zipf Compliance: RΒ²=0.9871 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 72.4% of corpus
- Long Tail: 5,109 words needed for remaining 0.8% 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 | 0.7658 π | 0.3405 | N/A | N/A |
| mono_64d | 64 | 0.6030 | 0.2817 | N/A | N/A |
| mono_128d | 128 | 0.1964 | 0.2867 | N/A | N/A |
| aligned_32d | 32 | 0.7658 | 0.3269 | 0.0120 | 0.1440 |
| aligned_64d | 64 | 0.6030 | 0.2833 | 0.0280 | 0.2120 |
| aligned_128d | 128 | 0.1964 | 0.2859 | 0.0960 | 0.2700 |
Key Findings
- Best Isotropy: mono_32d with 0.7658 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3008. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 9.6% 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 | -0.261 | 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 |
|---|---|
-a |
allotment, amΓ‘, apodora |
-bi |
bikΚΌa, bichΚΌoshtsoh, bitsΚΌΓ‘ozΚΌaΚΌ |
-d |
diastema, dryocalamus, deezlΓnΓidi |
-b |
bΓlΓ‘taΚΌiitsΓ³Γ³h, bikΚΌa, bΓ |
-t |
tsΓ©haagééd, tΓ³ΕlΔ―Μ, tΚΌiistsooΓtah |
-s |
sylvilagus, sturnira, sturnus |
-n |
natalobatrachus, neomixis, nahonitΕΚΌahii |
-c |
certhiaxis, chΚΌiltaalzhahii, chΚΌahΓ |
Productive Suffixes
| Suffix | Examples |
|---|---|
-s |
himalayensis, sylvilagus, femoralis |
-us |
sylvilagus, dryocalamus, sturnus |
-Γ |
wΓ‘lΓ‘zhinΓ, bΓ, magΓtΚΌΔ ΜΚΌΓ |
-i |
tsΓ©ΚΌaΕnΓ‘oztΚΌiΚΌΓidi, deezlΓnΓidi, chΚΌiltaalzhahii |
-a |
sturnira, fuscicauda, bikΚΌa |
-is |
himalayensis, femoralis, ichthyophis |
-ii |
chΚΌiltaalzhahii, dÑÑghahii, nahonitΕΚΌahii |
-ΓΓ |
yeeyΓ‘ΚΌdaaΕtΓΚΌΓgΓΓ, dΓkiwΓΓ, dadijoolΓgΓΓ |
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 |
|---|---|---|---|
ikah |
2.28x | 8 contexts | yikahΓ, yikahji, yikahjΓ |
itsΚΌ |
1.33x | 31 contexts | bitsΚΌΓ‘h, bitsΚΌoh, ditsΚΌoz |
tsΚΌΓ |
1.63x | 14 contexts | tsΚΌΓdΓ‘, tsΚΌΓΓh, tsΚΌΓmah |
Γ©yah |
1.67x | 13 contexts | kΓ©yah, kΓ©yahdi, hakΓ©yah |
iΕnΓ |
1.98x | 8 contexts | deiΕnΓ, nihiΕnΓ, Γ‘deiΕnΓ |
sΚΌΓΓ |
1.87x | 9 contexts | tsΚΌΓΓh, bitsΚΌΓΓ, atsΚΌΓΓs |
yika |
2.28x | 5 contexts | yikaΕ, yikahΓ, yikahji |
kahj |
2.28x | 5 contexts | yikahji, yikahjΓ, daakahjΓ |
kΓ©ya |
1.67x | 9 contexts | kΓ©yah, kΓ©yahdi, hakΓ©yah |
nΓig |
1.81x | 7 contexts | nΓigo, anΓigo, aanΓigo |
inΓg |
2.05x | 5 contexts | kinΓgΓΓ, Γ‘dinΓgΓΓ, nΓzinΓgΓΓ |
bich |
1.44x | 11 contexts | bichΚΌΔ―ΚΌ, bichΔ Δ ΚΌ, bichΚΌil |
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 |
|---|---|---|---|
-c |
-s |
249 words | chrysops, clematis |
-p |
-s |
243 words | platymantis, parvirostris |
-d |
-Γ |
213 words | dinilbΓ‘hΓ, dziΕghΔ ΜΚΌΓ |
-a |
-s |
184 words | arvalis, antrozous |
-n |
-Γ |
184 words | naalzheehΓgΓΓ, naΚΌazΓsΓ |
-s |
-s |
156 words | sclerurus, scytodes |
-p |
-us |
138 words | perspicillatus, pteruthius |
-c |
-us |
131 words | castaneus, chroicocephalus |
-c |
-a |
126 words | crocata, cyanoleuca |
-t |
-Γ |
123 words | tΕΚΌohtsΚΌΓ³zΓ, tΕΚΌohwaaΚΌΓ |
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 |
|---|---|---|---|
| daΚΌaΕhosh | daΚΌaΕho-s-h |
7.5 | s |
| moluccensis | moluccen-s-is |
7.5 | s |
| daatsΚΌΓsΓ | daatsΚΌΓ-s-Γ |
7.5 | s |
| sminthopsis | sminthop-s-is |
7.5 | s |
| barbadensis | barbaden-s-is |
7.5 | s |
| chΚΌoshtsoh | chΚΌosht-s-oh |
7.5 | s |
| leucopsis | leucop-s-is |
7.5 | s |
| pretiosus | pretio-s-us |
7.5 | s |
| dlΗ«ΜΚΌiitsoh | dlΗ«ΜΚΌiit-s-oh |
7.5 | s |
| dinilzhinhgo | dinilzhin-h-go |
7.5 | h |
| mΔ ΚΌiikΚΌΗ«sh | mΔ
ΚΌiikΚΌΗ«-s-h |
7.5 | s |
| portoricensis | portoricen-s-is |
7.5 | s |
| natalensis | natalen-s-is |
7.5 | s |
| yildeeΕΓtsoh | yildeeΕΓt-s-oh |
7.5 | s |
| iichΚΌΔ hiitsΚΌΓ³sΓ | iichΚΌΔ
hiitsΚΌΓ³-s-Γ |
7.5 | s |
6.6 Linguistic Interpretation
Automated Insight: The language Navajo 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 (3.72x) |
| N-gram | 2-gram | Lowest perplexity (222) |
| Markov | Context-4 | Highest predictability (87.2%) |
| 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) 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 16:24:15



















