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Banjar - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Banjar 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
8k3.761x3.760.3950%367,048
16k4.164x4.170.4374%331,539
32k4.537x4.540.4766%304,229
64k4.830x 🏆4.830.5073%285,820

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: Wedoro adalah sabuah kampung di Kacamatan Glagah, Kabupatin Lamongan, Prupinsi J...

VocabTokensCount
8k▁w ed oro ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁glagah , ... (+9 more)19
16k▁wed oro ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁glagah , ▁kabupatin ... (+8 more)18
32k▁wedoro ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁glagah , ▁kabupatin ▁lamongan ... (+7 more)17
64k▁wedoro ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁glagah , ▁kabupatin ▁lamongan ... (+7 more)17

Sample 2: Laburan Baru' adalah sabuah kampung di Kacamatan Paser Belengkong, Kabupatin Pas...

VocabTokensCount
8k▁lab uran ▁baru ' ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁paser ... (+12 more)22
16k▁lab uran ▁baru ' ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁paser ... (+11 more)21
32k▁laburan ▁baru ' ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁paser ▁belengkong ... (+10 more)20
64k▁laburan ▁baru ' ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁paser ▁belengkong ... (+10 more)20

Sample 3: Nibung adalah sabuah kampung di Kacamatan Selimbau, Kabupatin Kapuas Hulu, Prupi...

VocabTokensCount
8k▁n ib ung ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁sel imb ... (+12 more)22
16k▁n ibung ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁selimbau , ▁kabupatin ... (+9 more)19
32k▁nibung ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁selimbau , ▁kabupatin ▁kapuas ... (+8 more)18
64k▁nibung ▁adalah ▁sabuah ▁kampung ▁di ▁kacamatan ▁selimbau , ▁kabupatin ▁kapuas ... (+8 more)18

Key Findings

  • —Best Compression: 64k achieves 4.830x compression
  • —Lowest UNK Rate: 8k with 0.3950% 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-gramWord6,50512.6721,75123.6%44.5%
2-gramSubword185 🏆7.532,78878.2%99.5%
3-gramWord3,84911.9117,88132.5%51.6%
3-gramSubword1,42810.4820,29334.4%80.3%
4-gramWord5,30212.3724,83128.9%48.0%
4-gramSubword7,61212.8999,64217.5%50.0%
5-gramWord4,71212.2016,65625.7%48.4%
5-gramSubword25,00914.61245,45912.3%34.0%

Top 5 N-grams by Size

2-grams (Word):

RankN-gramCount
1kampung di5,961
2prupinsi kalimantan5,903
3di kacamatan5,625
4adalah sabuah4,211
5sabuah kampung3,806

3-grams (Word):

RankN-gramCount
1kampung di kacamatan5,212
2sabuah kampung di3,803
3adalah sabuah kampung3,803
4kalimantan selatan indunisia2,201
5prupinsi kalimantan selatan2,188

4-grams (Word):

RankN-gramCount
1sabuah kampung di kacamatan3,802
2adalah sabuah kampung di3,801
3prupinsi kalimantan selatan indunisia2,154
4prupinsi kalimantan barat indunisia1,806
5yaitu sabuting kampung di1,356

5-grams (Word):

RankN-gramCount
1adalah sabuah kampung di kacamatan3,801
2yaitu sabuting kampung di kacamatan1,253
3indunisia géografi watas wilayah watas1,113
4géografi watas wilayah watas wilayah1,099
5watas wilayah watas wilayah kacamatan739

2-grams (Subword):

RankN-gramCount
1a n365,243
2n _194,875
3n g152,971
4a _138,836
5k a132,349

3-grams (Subword):

RankN-gramCount
1a n _156,222
2a n g84,871
3_ k a76,502
4n g _75,610
5_ m a57,961

4-grams (Subword):

RankN-gramCount
1a n g _48,934
2t a n _34,621
3n a n g29,979
4a t a n29,470
5_ n a n28,658

5-grams (Subword):

RankN-gramCount
1_ n a n g28,407
2n a n g _27,864
3a t a n _22,485
4m a t a n17,997
5_ w a n _17,178

Key Findings

  • —Best Perplexity: 2-gram (subword) with 185
  • —Entropy Trend: Decreases with larger n-grams (more predictable)
  • —Coverage: Top-1000 patterns cover ~34% 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
1Word0.84691.7995.6799,05615.3%
1Subword0.71721.6444.592,41628.3%
2Word0.23371.1761.48559,81076.6%
2Subword0.68231.6054.1611,09231.8%
3Word0.05611.0401.08824,98494.4%
3Subword0.78021.7173.9046,11822.0%
4Word0.0150 🏆1.0101.02890,04398.5%
4Subword0.65441.5742.81179,73634.6%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. 1.di kacamatan konang kabupatin sanggau prupinsi kalimantan tengah mesir india indunisia watas wilayah...
  2. 2.nang baisi banyak banar dalam bahasa utama liga 3 m 1 sampai pamulaan wan takananya barupa
  3. 3.wan manangani kajahatan gasan hintalu diploid buhannya kawa jua gasan pahitungan hisab nitu angin tu...

Context Size 2:

  1. 1.kampung di kacamatan teluk sampit pambagian administratip kacamatan tualan hulu pambagian administra...
  2. 2.prupinsi kalimantan timur indunisia makanan nangkaya tempe matan kacang kacangan imbah disangrai bad...
  3. 3.di kacamatan menyuke kabupatin landak prupinsi kalimantan barat indunisia géografi watas wilayah kac...

Context Size 3:

  1. 1.kampung di kacamatan tambakrejo kabupatin bojonegoro prupinsi jawa timur jujuhutan
  2. 2.adalah sabuah kampung di kacamatan semitau kabupatin kapuas hulu prupinsi kalimantan barat indunisia...
  3. 3.sabuah kampung di kacamatan long iram kabupatin kutai barat prupinsi kalimantan timur indunisia géog...

Context Size 4:

  1. 1.sabuah kampung di kacamatan bengalon kabupatin kutai timur prupinsi kalimantan timur indunisia indun...
  2. 2.adalah sabuah kampung di kacamatan ketungau tengah kabupatin sintang prupinsi kalimantan barat indun...
  3. 3.yaitu sabuting kampung di kacamatan karang intan kabupatin banjar prupinsi kalimantan selatan induni...

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. 1.awanaangik_ta,_t
  2. 2._g_viabara_pa_li
  3. 3.ng_ksawarbunteru

Context Size 2:

  1. 1.anyan_adangga,_br
  2. 2.n_kalambang_pem_a
  3. 3.ng_dew,_dibantu,_

Context Size 3:

  1. 1.an_jejani_andan_ka
  2. 2.ang_sambara,_pres,
  3. 3._kacamatas_palima_

Context Size 4:

  1. 1.ang_maman_banjadi_h
  2. 2.tan_bakcanganis_rik
  3. 3.nang_kampung_dalah_

Key Findings

  • —Best Predictability: Context-4 (word) with 98.5% predictability
  • —Branching Factor: Decreases with context size (more deterministic)
  • —Memory Trade-off: Larger contexts require more storage (179,736 contexts)
  • —Recommendation: Context-3 or Context-4 for text generation

4. Vocabulary Analysis

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Statistics

MetricValue
Vocabulary Size41,351
Total Tokens992,449
Mean Frequency24.00
Median Frequency4
Frequency Std Dev278.70

Most Common Words

RankWordFrequency
1di27,655
2nang27,387
3wan17,250
4adalah10,715
5lawan9,581
6indunisia9,420
7kacamatan9,139
8kalimantan8,368
9kampung7,824
10matan7,698

Least Common Words (from vocabulary)

RankWordFrequency
1beregszásziová2
2košice2
3satian2
4extreme2
5frisna2
6ropang2
7caknan2
8muktamar2
9sandon2
10sékuéns2

Zipf's Law Analysis

MetricValue
Zipf Coefficient1.0491
R² (Goodness of Fit)0.995109
Adherence Qualityexcellent

Coverage Analysis

Top N WordsCoverage
Top 10035.5%
Top 1,00062.4%
Top 5,00081.6%
Top 10,00088.8%

Key Findings

  • —Zipf Compliance: R²=0.9951 indicates excellent adherence to Zipf's law
  • —High Frequency Dominance: Top 100 words cover 35.5% of corpus
  • —Long Tail: 31,351 words needed for remaining 11.2% 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_32d320.87150.3303N/AN/A
mono_64d640.84090.2593N/AN/A
mono_128d1280.55270.2130N/AN/A
aligned_32d320.8715 🏆0.33120.04200.2520
aligned_64d640.84090.25820.06800.3160
aligned_128d1280.55270.22560.13800.4260

Key Findings

  • —Best Isotropy: aligned_32d with 0.8715 (more uniform distribution)
  • —Semantic Density: Average pairwise similarity of 0.2696. Lower values indicate better semantic separation.
  • —Alignment Quality: Aligned models achieve up to 13.8% 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

MetricValueInterpretationRecommendation
Productivity Index5.000High morphological productivityReliable analysis
Idiomaticity Gap0.423High 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
PrefixExamples
-mamanentang, maut, marked
-paparachute, pattern, pamain
-babantam, babakan, barambai
-didibawakan, dihimpun, dibatasi
-kakaroseri, kampanye, kahala
-tatatikap, tahitung, tato
-manmanentang, manuruti, manggalungsur
-pepenyelenggara, pengadilan, pertapaan
Productive Suffixes
SuffixExamples
-npattern, babakan, tikinan
-anbabakan, tikinan, kanaan
-akurbannya, kahala, dhaka
-ngmanentang, gondang, rahang
-kanbabakan, dibawakan, menguntungkan
-yakurbannya, karibnya, makanannya
-nyakurbannya, karibnya, makanannya
-akanbabakan, dibawakan, maruntuhakan

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
anga1.62x225 contextssanga, manga, nanga
unga2.11x57 contextsbunga, rungan, bungas
ngan1.95x58 contextspangan, rungan, bongan
anja1.76x82 contextssanja, ganja, anjat
ntan1.89x49 contextsantan, intan, antang
mant1.94x39 contextsmanta, manti, mantel
ting1.63x79 contextsketing, tingah, eating
ndun2.15x24 contextsrundun, indung, mendung
dala1.77x38 contextsdalam, dalas, adalah
atin1.82x26 contextsatina, batin, latin
pung1.91x21 contextsapung, pungsi, capung
adal1.91x16 contextsbadal, kadal, adalah

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
-pa-n207 wordspalayanan, paampihan
-pa-an195 wordspalayanan, paampihan
-di-n149 wordsdiasingakan, dimanangakan
-ma-n144 wordsmanyurangan, mampartahanakan
-ka-n144 wordskamantirian, kajiwaan
-di-an140 wordsdiasingakan, dimanangakan
-ma-an136 wordsmanyurangan, mampartahanakan
-di-kan133 wordsdiasingakan, dimanangakan
-ka-an133 wordskamantirian, kajiwaan
-ma-kan126 wordsmampartahanakan, maungkaiakan

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
kaputingannya`ka-puti-ng-an-nya`9.0puti
dimanpaatakan`di-man-pa-atak-an`9.0atak
manjadiakannya`man-jadi-akan-nya`7.5jadi
mamandiakan`ma-man-di-akan`7.5akan
disayangakan`di-sa-yang-akan`7.5yang
peradangan`pe-rada-ng-an`7.5rada
dimakamakan`di-ma-ka-makan`7.5makan
kakacangan`ka-ka-cang-an`7.5cang
disalanggarakan`di-sa-langgar-akan`7.5langgar
takapinggirakan`ta-ka-pinggir-akan`7.5pinggir
dihasilakannya`di-hasil-akan-nya`7.5hasil
pahitungan`pa-hitu-ng-an`7.5hitu
papadahannya`pa-pa-dahan-nya`7.5dahan
sabalumannya`sa-ba-luman-nya`7.5luman
kahiringan`ka-hiri-ng-an`7.5hiri

6.6 Linguistic Interpretation

Automated Insight:

The language Banjar 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

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Production Recommendations

ComponentRecommendedRationale
Tokenizer64k BPEBest compression (4.83x)
N-gram2-gramLowest perplexity (185)
MarkovContext-4Highest predictability (98.5%)
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 19:11:59