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Sicilian - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

This repository contains NLP models trained and evaluated by Wikilangs, specifically on Sicilian 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
8k3.628x3.630.0737%333,830
16k3.960x3.960.0804%305,808
32k4.255x4.260.0864%284,572
64k4.491x 🏆4.490.0912%269,653

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: Samo è nu cumuni di 1.005 abbitanti dâ pruvincia di Riggiu Calabbria. dâ pruvinc...

VocabTokensCount
8k▁sa mo ▁è ▁nu ▁cumuni ▁di ▁ 1 . 0 ... (+15 more)25
16k▁samo ▁è ▁nu ▁cumuni ▁di ▁ 1 . 0 0 ... (+14 more)24
32k▁samo ▁è ▁nu ▁cumuni ▁di ▁ 1 . 0 0 ... (+14 more)24
64k▁samo ▁è ▁nu ▁cumuni ▁di ▁ 1 . 0 0 ... (+14 more)24

Sample 2: è un cumuni talianu dâ pruvincia di Sondriu ntâ Lummardìa. dâ pruvincia di Sondr...

VocabTokensCount
8k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁sondriu ▁ntâ ▁lummardìa ... (+5 more)15
16k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁sondriu ▁ntâ ▁lummardìa ... (+5 more)15
32k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁sondriu ▁ntâ ▁lummardìa ... (+5 more)15
64k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁sondriu ▁ntâ ▁lummardìa ... (+5 more)15

Sample 3: è un cumuni talianu dâ pruvincia di Cremona ntâ Lummardìa. dâ pruvincia di Cremo...

VocabTokensCount
8k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁cremona ▁ntâ ▁lummardìa ... (+5 more)15
16k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁cremona ▁ntâ ▁lummardìa ... (+5 more)15
32k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁cremona ▁ntâ ▁lummardìa ... (+5 more)15
64k▁è ▁un ▁cumuni ▁talianu ▁dâ ▁pruvincia ▁di ▁cremona ▁ntâ ▁lummardìa ... (+5 more)15

Key Findings

  • —Best Compression: 64k achieves 4.491x compression
  • —Lowest UNK Rate: 8k with 0.0737% 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-gramWord16,38414.0058,23315.6%34.5%
2-gramSubword244 🏆7.934,40470.4%99.0%
3-gramWord24,14114.5672,09012.9%28.3%
3-gramSubword2,05011.0034,04529.2%74.5%
4-gramWord36,26415.15109,63312.4%28.1%
4-gramSubword12,33513.59174,99413.1%41.0%
5-gramWord23,64314.5373,92412.6%32.9%
5-gramSubword48,58115.57458,2757.8%23.9%

Top 5 N-grams by Size

2-grams (Word):

RankN-gramCount
1pruvincia di15,198
2dâ pruvincia14,084
3di l11,236
4è un5,502
5è nu5,227

3-grams (Word):

RankN-gramCount
1dâ pruvincia di13,755
2è un cumuni4,935
3talianu dâ pruvincia4,537
4cumuni talianu dâ4,533
5un cumuni talianu4,497

4-grams (Word):

RankN-gramCount
1cumuni talianu dâ pruvincia4,533
2è un cumuni talianu4,497
3un cumuni talianu dâ4,420
4talianu dâ pruvincia di4,404
5abbitanti dâ pruvincia di1,920

5-grams (Word):

RankN-gramCount
1è un cumuni talianu dâ4,420
2un cumuni talianu dâ pruvincia4,420
3cumuni talianu dâ pruvincia di4,400
4ntâ lummardìa dâ pruvincia di1,512
5nu cumuni dâ pruvincia di1,411

2-grams (Subword):

RankN-gramCount
1i _648,749
2a _449,210
3u _428,360
4_ d299,061
5_ c245,777

3-grams (Subword):

RankN-gramCount
1_ d i173,046
2d i _150,142
3n i _97,798
4t i _93,979
5i _ d89,842

4-grams (Subword):

RankN-gramCount
1_ d i _140,256
2i _ d i52,971
3_ l u _51,883
4a _ d i47,082
5_ l a _44,178

5-grams (Subword):

RankN-gramCount
1i _ d i _43,124
2a _ d i _41,391
3u _ d i _29,866
4_ d i _ l28,707
5i o n i _27,862

Key Findings

  • —Best Perplexity: 2-gram (subword) with 244
  • —Entropy Trend: Decreases with larger n-grams (more predictable)
  • —Coverage: Top-1000 patterns cover ~24% 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
1Word0.82331.7695.57202,61917.7%
1Subword1.02752.0388.591,2520.0%
2Word0.27391.2091.681,121,59672.6%
2Subword1.02842.0406.3710,7480.0%
3Word0.09071.0651.151,872,30690.9%
3Subword0.86871.8264.4268,34613.1%
4Word0.0294 🏆1.0211.042,146,54697.1%
4Subword0.69231.6163.02301,80730.8%

Generated Text Samples (Word-based)

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

Context Size 1:

  1. 1.di l utilizzu eni uguali n maduna surmuntatu spissu china occupies a spidercam telecamera e di
  2. 2.e in ebbica abbastanza nichi e riazzioni tinta tinta ntô 480 a parallassi dâ prima ranni
  3. 3.lu divintaru famusi macari li pupulazzioni di fora dû branu cu la situazzioni 1 cor damaya

Context Size 2:

  1. 1.pruvincia di salernu havi na pupulazzioni di 1 chistu pirmetti ô browser di mozilla firefox sunnu sc...
  2. 2.dâ pruvincia di frusinuni havi na vota ntô 147º e na storia assai àutru centru di lu
  3. 3.di l aquila havi na pupulazzioni di 1 a 29 annu e ô dramma sacru di la

Context Size 3:

  1. 1.dâ pruvincia di asti ntô piemunti dâ pruvincia di palermu la notti dû 22 di dicèmmiru fu nu
  2. 2.è un cumuni talianu dâ pruvincia di cremona ntâ lummardìa havi na pupulazzioni di 2 807 abbitanti dâ
  3. 3.talianu dâ pruvincia di sarausa puru si la vilucitati dâ luci sia isutropica ossia ca avi u stissu

Context Size 4:

  1. 1.cumuni talianu dâ pruvincia di carbonia iglesias ntâ sardigna dâ pruvincia di oristanu ntâ sardigna ...
  2. 2.è un cumuni talianu dâ pruvincia di nuvara ntô piemunti dâ pruvincia di cuneu ntô piemunti dâ pruvin...
  3. 3.un cumuni talianu dâ pruvincia di pavìa ntâ lummardìa dâ pruvincia di bèrgamu ntâ lummardìa dâ pruvi...

Generated Text Samples (Subword-based)

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

Context Size 1:

  1. 1._pìu_duvi_nta_dî
  2. 2.imprersio_ncidi_
  3. 3.a_di_le_antô_–_s

Context Size 2:

  1. 1.i_rinciriglia,_«c
  2. 2.a_a_acquersanuota
  3. 3.u_acquagnu_do'_va

Context Size 3:

  1. 1._di_l'asempion:_th
  2. 2.di_mai_di_gueva_nz
  3. 3.ni_tantironali_a_j

Context Size 4:

  1. 1._di_giugnu_'n_arban
  2. 2.i_di_cuntra_venneme
  3. 3._lu_nùmmuru_nizo_ne

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 (301,807 contexts)
  • —Recommendation: Context-3 or Context-4 for text generation

4. Vocabulary Analysis

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Statistics

MetricValue
Vocabulary Size86,322
Total Tokens2,462,744
Mean Frequency28.53
Median Frequency4
Frequency Std Dev696.15

Most Common Words

RankWordFrequency
1di140,762
2e60,379
3lu55,075
4a51,553
5la47,116
6l39,892
7dâ32,478
8è31,791
9li30,388
10n24,459

Least Common Words (from vocabulary)

RankWordFrequency
1artificaili2
2degeneratu2
3impress2
4escaldes2
5engordany2
6sabigotho2
7reiter2
8homestuck2
9manganelli2
10emiciclu2

Zipf's Law Analysis

MetricValue
Zipf Coefficient1.0191
R² (Goodness of Fit)0.998927
Adherence Qualityexcellent

Coverage Analysis

Top N WordsCoverage
Top 10041.6%
Top 1,00063.1%
Top 5,00078.3%
Top 10,00084.5%

Key Findings

  • —Zipf Compliance: R²=0.9989 indicates excellent adherence to Zipf's law
  • —High Frequency Dominance: Top 100 words cover 41.6% of corpus
  • —Long Tail: 76,322 words needed for remaining 15.5% 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_32d320.8559 🏆0.3184N/AN/A
mono_64d640.85170.2317N/AN/A
mono_128d1280.74500.1848N/AN/A
aligned_32d320.85590.32000.09000.3440
aligned_64d640.85170.22950.13800.4440
aligned_128d1280.74500.17770.20000.5420

Key Findings

  • —Best Isotropy: mono_32d with 0.8559 (more uniform distribution)
  • —Semantic Density: Average pairwise similarity of 0.2437. Lower values indicate better semantic separation.
  • —Alignment Quality: Aligned models achieve up to 20.0% 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 Gap0.381High 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
-sschianari, straputiri, spirimintàvanu
-aaglabita, abbunata, azzurri
-cchidja, calculatu, catenanuova
-mmladic, medioevo, mintennu
-ppresu, puvuredda, puacu
-cacalculatu, catenanuova, calabbra
-nnegroponte, nnustri, ntitulata
-mamagistri, majistrìa, maladzečna
Productive Suffixes
SuffixExamples
-ischianari, liberi, itali
-ucalculatu, mintennu, presu
-achidja, aglabita, catenanuova
-tiacuti, disignati, fimmati
-nimoroni, littoni, valanzuni
-rischianari, liberi, azzurri
-tucalculatu, scuraggiatu, nzignatu
-numintennu, infantinu, spirimintàvanu

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
azzi2.30x147 contextstazzi, yazzi, mazzi
izzi2.03x166 contextspizzi, rizzi, nizzi
itat2.12x103 contextscitat, itati, vitatu
zion2.21x73 contextszione, zioni, azione
zzio2.32x44 contextszzioni, azziona, azzioni
vinc2.14x39 contextsvinci, vincì, vince
iggi1.65x109 contextssiggi, liggi, figgi
nali1.91x43 contextsanali, linali, fanali
ncia1.61x80 contextsuncia, ancia, lancia
lian1.58x70 contextsjulian, alianu, eliana
inci1.46x96 contextsjinci, vinci, linci
ilia1.52x77 contextsdilia, filia, iliadi

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
-c-i299 wordscrudili, ciampi
-a-i257 wordsarrisbigghiari, avvrazzari
-a-u247 wordsalbergu, arrinneru
-c-u225 wordscolledimenzu, chiu
-c-a203 wordscatilina, caldea
-s-u201 wordssassòfunu, suffru
-p-i200 wordspinitrari, picciriddi
-s-i200 wordssumenzi, sanguinari
-a-a157 wordsadriatica, amatura
-m-i153 wordsmustri, matrici

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
eremitaggiu`eremitagg-i-u`7.5i
intellighentsia`intellighents-i-a`7.5i
impiegati`impieg-a-ti`7.5a
gghiùnciri`gghiùnc-i-ri`7.5i
cunsidiratu`cunsidir-a-tu`7.5a
melitensis`melitens-i-s`7.5i
nfruinzatu`nfruinz-a-tu`7.5a
fortificata`fortific-a-ta`7.5a
agghìunciri`agghìunc-i-ri`7.5i
madeleine`madele-i-ne`7.5i
munarchii`munarch-i-i`7.5i
baudelaire`baudela-i-re`7.5i
ndividuari`ndividu-a-ri`7.5a
ncintivati`ncintiv-a-ti`7.5a
vintagghiu`vintaggh-i-u`7.5i

6.6 Linguistic Interpretation

Automated Insight:

The language Sicilian 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 (4.49x)
N-gram2-gramLowest perplexity (244)
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: 2026-01-10 19:53:23