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Balinese - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Balinese 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

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Analysis and Evaluation


1. Tokenizer Evaluation

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Results

Vocab SizeCompressionAvg Token LenUNK RateTotal Tokens
8k4.067x4.070.1935%240,819
16k4.471x4.480.2127%219,044
32k4.812x4.820.2289%203,541
64k5.076x 🏆5.080.2415%192,952

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: 920 921 922 923 924 925 926 927 928 929 Jadma Embas Seda Pustaka Pranala liyané ...

VocabTokensCount
8k▁ 9 2 0 ▁ 9 2 1 ▁ 9 ... (+40 more)50
16k▁ 9 2 0 ▁ 9 2 1 ▁ 9 ... (+40 more)50
32k▁ 9 2 0 ▁ 9 2 1 ▁ 9 ... (+40 more)50
64k▁ 9 2 0 ▁ 9 2 1 ▁ 9 ... (+40 more)50

Sample 2: Reutlingen (; Swabia: Reitlenga) inggih punika sinunggil kota ring Baden-Württem...

VocabTokensCount
8k▁re ut ling en ▁(; ▁sw ab ia : ▁re ... (+34 more)44
16k▁re ut ling en ▁(; ▁sw ab ia : ▁re ... (+28 more)38
32k▁re ut lingen ▁(; ▁sw abia : ▁re it l ... (+25 more)35
64k▁reut lingen ▁(; ▁sw abia : ▁re it l enga ... (+22 more)32

Sample 3: Terneuzen () inggih punika kota miwah kotamadya ring sisi kelod kauh Belanda, ri...

VocabTokensCount
8k▁ter ne uz en ▁() ▁inggih ▁punika ▁kota ▁miwah ▁kotamadya ... (+21 more)31
16k▁ter ne uz en ▁() ▁inggih ▁punika ▁kota ▁miwah ▁kotamadya ... (+17 more)27
32k▁ter ne uz en ▁() ▁inggih ▁punika ▁kota ▁miwah ▁kotamadya ... (+15 more)25
64k▁ter ne uzen ▁() ▁inggih ▁punika ▁kota ▁miwah ▁kotamadya ▁ring ... (+14 more)24

Key Findings

  • Best Compression: 64k achieves 5.076x compression
  • Lowest UNK Rate: 8k with 0.1935% 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

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Results

N-gramVariantPerplexityEntropyUnique N-gramsTop-100 CoverageTop-1000 Coverage
2-gramWord4,64012.1861,25936.3%57.8%
2-gramSubword223 🏆7.808,00473.6%99.2%
3-gramWord5,62712.4679,40134.2%56.0%
3-gramSubword1,64310.6843,23031.4%79.4%
4-gramWord8,54713.06120,31129.1%51.2%
4-gramSubword7,49112.87210,66118.4%54.1%
5-gramWord8,77713.1092,97125.7%49.1%
5-gramSubword21,12614.37563,27015.0%42.7%

Top 5 N-grams by Size

2-grams (Word):

RankN-gramCount
1situs resmi43,663
2inggih punika39,149
3pusat statistik24,769
4badan pusat24,755
5silih tunggil23,231

3-grams (Word):

RankN-gramCount
1badan pusat statistik24,753
2pustaka pranala jaba21,680
3inggih punika silih20,522
4punika silih tunggil20,156
5pranala jaba situs19,252

4-grams (Word):

RankN-gramCount
1inggih punika silih tunggil20,046
2pranala jaba situs resmi19,034
3pustaka pranala jaba situs18,664
4dados kauahin ilang yening15,610
5kauahin ilang yening url15,325

5-grams (Word):

RankN-gramCount
1pustaka pranala jaba situs resmi18,475
2dados kauahin ilang yening url15,325
3kauahin ilang yening url nenten15,194
4url dados kauahin ilang yening15,039
5ilang yening url nenten aktip14,998

2-grams (Subword):

RankN-gramCount
1a n914,478
2n g765,351
3a _556,979
4i n546,378
5n _539,027

3-grams (Subword):

RankN-gramCount
1n g _376,926
2a n _301,627
3i n g300,756
4a n g227,744
5_ k a223,144

4-grams (Subword):

RankN-gramCount
1i n g _230,681
2r i n g152,062
3_ r i n133,355
4a n g _89,274
5u n i k75,300

5-grams (Subword):

RankN-gramCount
1r i n g _149,014
2_ r i n g133,072
3p u n i k74,857
4_ p u n i72,286
5b u p a t70,377

Key Findings

  • Best Perplexity: 2-gram (subword) with 223
  • Entropy Trend: Decreases with larger n-grams (more predictable)
  • Coverage: Top-1000 patterns cover ~43% of corpus
  • Recommendation: 4-gram or 5-gram for best predictive performance

3. Markov Chain Evaluation

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Results

ContextVariantAvg EntropyPerplexityBranching FactorUnique ContextsPredictability
1Word0.72311.6515.15258,66727.7%
1Subword0.96981.9597.064,7193.0%
2Word0.23001.1731.541,327,86177.0%
2Subword0.61301.5293.5533,29638.7%
3Word0.07511.0531.142,029,54792.5%
3Subword0.59031.5063.30118,15741.0%
4Word0.0289 🏆1.0201.052,293,91897.1%
4Subword0.65811.5782.95389,82734.2%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. 1.ring kabupatén manggarai univérsitas téknologi langkungan saking lis kediri propinsi jawa timur situ...
  2. 2.kabupatén bandar udara sipil negara wagian connecticut john musker dave akbarshah fikarno partai pol...
  3. 3.punika silih tunggil gampong ring panguntat warsa perang sane madaging aglomerasi pays blanc kawentu...

Context Size 2:

  1. 1.situs resmi provinsi kalimantan timur indonésia pustaka pranala jaba of the betawi and their subordi...
  2. 2.inggih punika silih tunggil désa dinas sané magenah ring désa karimunjawa pulau karimunjawa gua sara...
  3. 3.pusat statistik provinsi lampung badan pusat statistik nusa tenggara timur ring panegara indonésia p...

Context Size 3:

  1. 1.badan pusat statistik provinsi lampung badan pusat statistik provinsi banten situs resmi pemerintah ...
  2. 2.pustaka pranala jaba situs resmi pamréntahan kota malang prodeskel binapemdes kemendagri banyuwangi ...
  3. 3.inggih punika silih tunggil kecamatan ring kabupatén tuban ring jawa timur ring panegara indonésia p...

Context Size 4:

  1. 1.inggih punika silih tunggil désa dinas sané magenah ring kecamatan pakem ring wawengkon kabupatén bo...
  2. 2.pranala jaba situs resmi pamréntahan propinsi kalimantan tengah badan pusat statistik propinsi kalim...
  3. 3.pustaka pranala jaba situs resmi pamrentahan propinsi jawa tengah badan pusat statistik propinsi daé...

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. 1.akraning_pa_dang
  2. 2._pawewen,_ako_in
  3. 3.ngkang_l_parasih

Context Size 2:

  1. 1.an_punisi_ka_ma_i
  2. 2.ng_doh_for,_namas
  3. 3.a_matasur_sur_jaj

Context Size 3:

  1. 1.ng_pamréntahan_kaa
  2. 2.an_sumelaya,_propi
  3. 3.ing_richoir,_jani_

Context Size 4:

  1. 1.ing_lis._gresik_pun
  2. 2.ring_radeship_himse
  3. 3._ring_soroh_jaya_be

Key Findings

  • Best Predictability: Context-4 (word) with 97.1% predictability
  • Branching Factor: Decreases with context size (more deterministic)
  • Memory Trade-off: Larger contexts require more storage (389,827 contexts)
  • Recommendation: Context-3 or Context-4 for text generation

4. Vocabulary Analysis

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Statistics

MetricValue
Vocabulary Size98,403
Total Tokens3,677,636
Mean Frequency37.37
Median Frequency3
Frequency Std Dev767.63

Most Common Words

RankWordFrequency
1ring133,161
2kabupatén61,962
3punika52,592
4situs47,934
5sané47,011
6resmi44,807
7inggih39,587
8saking39,350
9url35,045
10propinsi33,485

Least Common Words (from vocabulary)

RankWordFrequency
1ᬧᬳᬗᬿ2
2ᬧᬓᬓ᭄2
3ᬮᬸᬦᬸᬓ᭄2
4ᬫᭂᬭᬜ᭄ᬘᬂ2
5patonangi2
6ᬩᬩᬭᬶᬲ᭄2
7ᬢᬢᬓᬦ᭄2
8ᬳᬮᬢ᭄2
9ᬩᬤᭁᬦ᭄2
10ᬩᬮᬸᬓᬸᬂ2

Zipf's Law Analysis

MetricValue
Zipf Coefficient1.1326
R² (Goodness of Fit)0.997911
Adherence Qualityexcellent

Coverage Analysis

Top N WordsCoverage
Top 10045.3%
Top 1,00069.2%
Top 5,00083.1%
Top 10,00088.0%

Key Findings

  • Zipf Compliance: R²=0.9979 indicates excellent adherence to Zipf's law
  • High Frequency Dominance: Top 100 words cover 45.3% of corpus
  • Long Tail: 88,403 words needed for remaining 12.0% coverage

5. Word Embeddings Evaluation

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5.1 Cross-Lingual Alignment

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5.2 Model Comparison

ModelDimensionIsotropySemantic DensityAlignment R@1Alignment R@10
mono_32d320.8561 🏆0.3559N/AN/A
mono_64d640.84530.2824N/AN/A
mono_128d1280.81080.2152N/AN/A
aligned_32d320.85610.34990.05000.3000
aligned_64d640.84530.27910.11600.4180
aligned_128d1280.81080.22170.18600.5760

Key Findings

  • Best Isotropy: mono_32d with 0.8561 (more uniform distribution)
  • Semantic Density: Average pairwise similarity of 0.2840. Lower values indicate better semantic separation.
  • Alignment Quality: Aligned models achieve up to 18.6% 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

MetricValueInterpretationRecommendation
Productivity Index5.000High morphological productivityReliable analysis
Idiomaticity Gap0.148Low 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
PrefixExamples
-kakaumahné, kambilo, karangdinoyo
-mamaseosan, matogu, manufaktur
-papapadun, palmerah, pacing
Productive Suffixes
SuffixExamples
-nalien, gejeran, hughenden
-angejeran, maseosan, matangnyan
-ngwyoming, siung, yèning
-angnelebang, renang, hilirundang

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.

StemCohesionSubstitutabilityExamples
anga1.63x366 contextsangar, ranga, manga
nten1.91x86 contextsinten, enten, wnten
atan1.68x151 contextsbatan, vatan, patan
ngan1.50x185 contextsingan, angan, ringan
akin1.95x42 contextsmakin, dakin, yakin
ungg1.47x120 contextstungg, ungga, unggak
nggi1.58x77 contextsanggi, nggih, ninggi
taha1.86x33 contextstahan, tahai, tahar
ados2.09x21 contextsdados, sados, padosa
ggih1.99x22 contextsnggih, inggih, lnggih
stat1.88x20 contextsstate, stats, istat
isti1.56x37 contextssistim, bistik, mistik

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.

PrefixSuffixFrequencyExamples
-ka-n119 wordskapribadian, kaanyarin
-pa-n117 wordspalimanan, pawedaran
-pa-an104 wordspalimanan, pawedaran
-ka-ng90 wordskagampilang, kalaliang
-ka-ang75 wordskagampilang, kalaliang
-ka-an68 wordskapribadian, kalanguan
-ma-n45 wordsmalun, maroon
-ma-an36 wordsmadénan, mabinaan
-ma-ng34 wordsmamantang, mahondang
-ma-ang20 wordsmamantang, mahondang

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).

WordSuggested SplitConfidenceStem
patarungan`pa-taru-ng-an`7.5taru
kalédangan`ka-léda-ng-an`7.5léda
malimongan`ma-limo-ng-an`7.5limo
kasemaran`ka-semar-an`6.0semar
kaasosiasiang`ka-asosiasi-ang`6.0asosiasi
kadaftarang`ka-daftar-ang`6.0daftar
malaibang`ma-laib-ang`6.0laib
kasunanan`ka-sunan-an`6.0sunan
kawarisang`ka-waris-ang`6.0waris
pangabdian`pa-ngabdi-an`6.0ngabdi
palaibang`pa-laib-ang`6.0laib
kabudayaan`ka-budaya-an`6.0budaya
mapangangge`ma-pa-ngangge`6.0ngangge
mapontang`ma-pont-ang`6.0pont
kajegegan`ka-jegeg-an`6.0jegeg

6.6 Linguistic Interpretation

Automated Insight:

The language Balinese 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

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Production Recommendations

ComponentRecommendedRationale
Tokenizer64k BPEBest compression (5.08x)
N-gram2-gramLowest perplexity (223)
MarkovContext-4Highest predictability (97.1%)
Embeddings100dBalanced semantic capture and isotropy

Appendix: Metrics Glossary & Interpretation Guide

This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.

Tokenizer Metrics

Compression Ratio

Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text. Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average. What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.

Average Token Length (Fertility)

Definition: Mean number of characters per token produced by the tokenizer. Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length. What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.

Unknown Token Rate (OOV Rate)

Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent. Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences. What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.

N-gram Model Metrics

Perplexity

Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction. Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options. What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.

Entropy

Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy. Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character. What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.

Coverage (Top-K)

Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams. Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage. What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.

Markov Chain Metrics

Average Entropy

Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction. Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations). What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.

Branching Factor

Definition: Average number of unique next tokens observed for each context. Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive). What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.

Predictability

Definition: Derived metric: (1 - normalized_entropy) × 100%. Indicates how deterministic the model's predictions are. Intuition: 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes. What to seek: Higher predictability for text generation quality, but too high (>98%) may produce repetitive output.

Vocabulary & Zipf's Law Metrics

Zipf's Coefficient

Definition: The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1. Intuition: A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare. What to seek: Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text.

R² (Coefficient of Determination)

Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1. Intuition: R² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns. What to seek: R² > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora.

Vocabulary Coverage

Definition: Cumulative percentage of corpus tokens accounted for by the top N words. Intuition: Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words. What to seek: Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary.

Word Embedding Metrics

Isotropy

Definition: Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values. Intuition: High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness. What to seek: Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy.

Average Norm

Definition: Mean magnitude (L2 norm) of word vectors in the embedding space. Intuition: Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained. What to seek: Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation).

Cosine Similarity

Definition: Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction). Intuition: Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings. What to seek: Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7.

t-SNE Visualization

Definition: t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization. Intuition: Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence. What to seek: Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure.

General Interpretation Guidelines

  1. 1.Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
  2. 2.Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
  3. 3.Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
  4. 4.Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
  5. 5.Language-specific patterns: Morphologically rich languages (like Arabic) may show different optimal ranges than analytic languages.

Visualizations Index

VisualizationDescription
Tokenizer CompressionCompression ratios by vocabulary size
Tokenizer FertilityAverage token length by vocabulary
Tokenizer OOVUnknown token rates
Tokenizer Total TokensTotal tokens by vocabulary
N-gram PerplexityPerplexity by n-gram size
N-gram EntropyEntropy by n-gram size
N-gram CoverageTop pattern coverage
N-gram UniqueUnique n-gram counts
Markov EntropyEntropy by context size
Markov BranchingBranching factor by context
Markov ContextsUnique context counts
Zipf's LawFrequency-rank distribution with fit
Vocab FrequencyWord frequency distribution
Top 20 WordsMost frequent words
Vocab CoverageCumulative coverage curve
Embedding IsotropyVector space uniformity
Embedding NormsVector magnitude distribution
Embedding SimilarityWord similarity heatmap
Nearest NeighborsSimilar words for key terms
t-SNE Words2D word embedding visualization
t-SNE Sentences2D sentence embedding visualization
Position EncodingEncoding method comparison
Model SizesStorage requirements
Performance DashboardComprehensive 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](https://wikilangs.org) - Open-source NLP models for every Wikipedia language.

Maintainer

Omar Kamali - Omneity Labs

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

Report Date: 2026-01-03 18:39:33