wikilangs/ff

Fula - Wikilangs Models

Comprehensive Research Report & Full Ablation Study

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

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

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1. Tokenizer Evaluation

Results

Vocab Size	Compression	Avg Token Len	UNK Rate	Total Tokens
8k	3.290x	3.29	0.2095%	458,165
16k	3.629x	3.63	0.2311%	415,362
32k	3.915x	3.92	0.2494%	384,993
64k	4.156x 🏆	4.16	0.2647%	362,620

Tokenization Examples

Below are sample sentences tokenized with each vocabulary size:

Sample 1: Tuobo District is one of 10 districts of River Gee County, Liberia. As of the po...

Vocab	Tokens	Count
8k	▁tu o bo ▁district ▁is ▁one ▁of ▁ 1 0 ... (+23 more)	33
16k	▁tu o bo ▁district ▁is ▁one ▁of ▁ 1 0 ... (+21 more)	31
32k	▁tu o bo ▁district ▁is ▁one ▁of ▁ 1 0 ... (+21 more)	31
64k	▁tu obo ▁district ▁is ▁one ▁of ▁ 1 0 ▁districts ... (+20 more)	30

Sample 2: Sapele Latake hukuma pamarun Diiwal Delta lysidi Naajeeriya

Vocab	Tokens	Count
8k	▁sa pe le ▁lat ake ▁hukuma ▁pamarun ▁diiwal ▁delta ▁ly ... (+2 more)	12
16k	▁sa pe le ▁latake ▁hukuma ▁pamarun ▁diiwal ▁delta ▁lysidi ▁naajeeriya	10
32k	▁sapele ▁latake ▁hukuma ▁pamarun ▁diiwal ▁delta ▁lysidi ▁naajeeriya	8
64k	▁sapele ▁latake ▁hukuma ▁pamarun ▁diiwal ▁delta ▁lysidi ▁naajeeriya	8

Sample 3: Tienie ko wuro e nder diiwaan Grand Cape Mount, to leydi Liberiya.

Vocab	Tokens	Count
8k	▁ti en ie ▁ko ▁wuro ▁e ▁nder ▁diiwaan ▁grand ▁cape ... (+7 more)	17
16k	▁ti en ie ▁ko ▁wuro ▁e ▁nder ▁diiwaan ▁grand ▁cape ... (+6 more)	16
32k	▁ti en ie ▁ko ▁wuro ▁e ▁nder ▁diiwaan ▁grand ▁cape ... (+6 more)	16
64k	▁ti enie ▁ko ▁wuro ▁e ▁nder ▁diiwaan ▁grand ▁cape ▁mount ... (+5 more)	15

Key Findings

• Best Compression: 64k achieves 4.156x compression
• Lowest UNK Rate: 8k with 0.2095% unknown tokens
• Trade-off: Larger vocabularies improve compression but increase model size
• Recommendation: 32k vocabulary provides optimal balance for production use

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2. N-gram Model Evaluation

Results

N-gram	Variant	Perplexity	Entropy	Unique N-grams	Top-100 Coverage	Top-1000 Coverage
2-gram	Word	18,162	14.15	104,236	16.2%	37.3%
2-gram	Subword	296 🏆	8.21	7,815	65.5%	98.4%
3-gram	Word	53,854	15.72	187,942	10.0%	24.1%
3-gram	Subword	2,479	11.28	53,321	26.0%	70.2%
4-gram	Word	183,838	17.49	408,955	5.3%	14.1%
4-gram	Subword	13,282	13.70	265,846	13.1%	40.8%
5-gram	Word	193,974	17.57	342,827	4.9%	12.3%
5-gram	Subword	45,941	15.49	723,015	8.8%	27.6%

Top 5 N-grams by Size

2-grams (Word):

Rank	N-gram	Count
1	e nder	61,343
2	e hitaande	32,860
3	ko e	22,642
4	jaaɓi haaɗtirde	19,214
5	duɗal jaaɓi	17,989

3-grams (Word):

Rank	N-gram	Count
1	duɗal jaaɓi haaɗtirde	17,974
2	to duɗal jaaɓi	10,218
3	e hitaande o	6,335
4	e nder leydi	5,945
5	e nder diiwaan	4,588

4-grams (Word):

Rank	N-gram	Count
1	to duɗal jaaɓi haaɗtirde	10,215
2	e asli mum ñalnde	3,566
3	mw parser output reflist	3,258
4	ko ɓuri heewde e	1,887
5	gila e asli mum	1,729

5-grams (Word):

Rank	N-gram	Count
1	gila e asli mum ñalnde	1,726
2	ko e asli mum ñalnde	1,633
3	mooftaa ko e asli mum	1,472
4	moƴƴinaama gila e asli mum	1,404
5	mw parser output reflist lower	1,396

2-grams (Subword):

Rank	N-gram	Count
1	e _	1,192,787
2	o _	697,278
3	a a	631,137
4	i _	590,142
5	d e	589,471

3-grams (Subword):

Rank	N-gram	Count
1	_ e _	366,386
2	d e _	361,065
3	n d e	340,092
4	k o _	191,527
5	_ k o	190,918

4-grams (Subword):

Rank	N-gram	Count
1	n d e _	190,566
2	_ n d e	151,153
3	_ k o _	147,651
4	n d e r	106,570
5	d e r _	101,274

5-grams (Subword):

Rank	N-gram	Count
1	n d e r _	100,326
2	_ n d e r	99,998
3	e _ n d e	89,458
4	_ e _ n d	62,590
5	_ i n a _	61,992

Key Findings

• Best Perplexity: 2-gram (subword) with 296
• Entropy Trend: Decreases with larger n-grams (more predictable)
• Coverage: Top-1000 patterns cover ~28% of corpus
• Recommendation: 4-gram or 5-gram for best predictive performance

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3. Markov Chain Evaluation

Results

Context	Variant	Avg Entropy	Perplexity	Branching Factor	Unique Contexts	Predictability
1	Word	0.8658	1.822	7.09	238,209	13.4%
1	Subword	1.0967	2.139	6.46	4,268	0.0%
2	Word	0.2953	1.227	1.86	1,682,859	70.5%
2	Subword	0.7230	1.651	4.35	27,539	27.7%
3	Word	0.1250	1.091	1.26	3,111,793	87.5%
3	Subword	0.7226	1.650	3.82	119,629	27.7%
4	Word	0.0559 🏆	1.040	1.10	3,909,129	94.4%
4	Subword	0.6523	1.572	3.00	457,157	34.8%

Generated Text Samples (Word-based)

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

Context Size 1:

1. e fitinaaji gonɗi ɗer daga baro caggal wuro e ganndal paleontologie to tangi tehsil diiwaan lagos
2. ko adii aisha halilu akilu winndi e apc mo anndaa e dow dow huutoreeji e nder
3. nder cuuɗi 3 nde peeñii e doggol laawɗungol 1 mm 0 m abu muhammadu faade e

Context Size 2:

1. e nder eɓɓoore jaŋde coodguuli o siftorii e hitaande opitaal oo ina rokka kadi batte e peewnugol
2. e hitaande nde martin timmini mbaydi ndii ɗuuɗal ngal heewaani ina maantiniree aksan grave yeru helm...
3. ko e jannginde sosiyoloji 18 4 158 168 issn s2cid politik e jamaanu koloñaal ko adii hitaande

Context Size 3:

1. duɗal jaaɓi haaɗtirde makerere mooftaa ko e asli mum ñalnde 13 lewru abriil o arti e galle makko
2. to duɗal jaaɓi haaɗtirde wharton to duɗal jaaɓi haaɗtirde madrasa islamia buxi bazar to leydi kuttak...
3. e hitaande o joofni e 7 056 woote afolami suɓiima heddaade e celibateer e nder tikkere e ko

Context Size 4:

1. to duɗal jaaɓi haaɗtirde williams college e hitaande o heɓi ba e jaŋde ƴellitaare kuuɓtidinnde e jaŋ...
2. e asli mum ñalnde keɓtinaa ko jaaynde duɗal jaaɓi haaɗtirde columbia to duɗal jaaɓi haaɗtirde bagdaa...
3. mw parser output reflist reflist columns ol margin top 0 mw parser output reflist lower greek list s...

Generated Text Samples (Subword-based)

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

Context Size 1:

1. _mpabileɓe_mwor_
2. a_lita,_ошкараки
3. edimeye_fo_wi_kk

Context Size 2:

1. e_ng_"gelloyɗe_e_
2. o_wuuɓɓe_ɗaaweddi
3. aayya._dogina_mu_

Context Size 3:

1. _e_kosa_tuugii_haa
2. de_17_famɗam_huun,
3. nde_8_oktooɓe_ype:

Context Size 4:

1. nde_dingirde_batte_
2. _nde_23_lewru_ut_ha
3. _ko_ñawɓe_22_mars_k

Key Findings

• Best Predictability: Context-4 (word) with 94.4% predictability
• Branching Factor: Decreases with context size (more deterministic)
• Memory Trade-off: Larger contexts require more storage (457,157 contexts)
• Recommendation: Context-3 or Context-4 for text generation

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4. Vocabulary Analysis

Statistics

Metric	Value
Vocabulary Size	109,082
Total Tokens	4,968,136
Mean Frequency	45.54
Median Frequency	4
Frequency Std Dev	1398.20

Most Common Words

Rank	Word	Frequency
1	e	374,881
2	ko	151,825
3	nder	99,826
4	o	93,579
5	to	65,456
6	ina	62,692
7	hitaande	48,933
8	ngam	37,608
9	leydi	35,673
10	nde	31,552

Least Common Words (from vocabulary)

Rank	Word	Frequency
1	delee	2
2	trokanter	2
3	casteeji	2
4	hoffa	2
5	hallux	2
6	falannde	2
7	calthorpe	2
8	stopes	2
9	trokleer	2
10	mortons	2

Zipf's Law Analysis

Metric	Value
Zipf Coefficient	1.1660
R² (Goodness of Fit)	0.992989
Adherence Quality	excellent

Coverage Analysis

Top N Words	Coverage
Top 100	39.8%
Top 1,000	67.8%
Top 5,000	83.4%
Top 10,000	88.4%

Key Findings

• Zipf Compliance: R²=0.9930 indicates excellent adherence to Zipf's law
• High Frequency Dominance: Top 100 words cover 39.8% of corpus
• Long Tail: 99,082 words needed for remaining 11.6% coverage

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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	0.8735	0.3675	N/A	N/A
mono_64d	64	0.8804 🏆	0.2760	N/A	N/A
mono_128d	128	0.8690	0.2101	N/A	N/A
aligned_32d	32	0.8735	0.3540	0.1020	0.3900
aligned_64d	64	0.8804	0.2806	0.1860	0.5660
aligned_128d	128	0.8690	0.2018	0.2480	0.6620

Key Findings

• Best Isotropy: mono_64d with 0.8804 (more uniform distribution)
• Semantic Density: Average pairwise similarity of 0.2817. Lower values indicate better semantic separation.
• Alignment Quality: Aligned models achieve up to 24.8% R@1 in cross-lingual retrieval.
• Recommendation: 128d aligned for best cross-lingual performance

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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	-0.556	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
-ma	mallihemre, madaaw, mariam

Productive Suffixes

Suffix	Examples
-e	mallihemre, olive, 9ice
-ji	notifikaaji, cedeeji, reenngooji
-de	koɗorde, wiyde, nuunɗude

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
anng	1.65x	80 contexts	anngu, manngu, mannga
annd	1.37x	157 contexts	annde, anndi, annda
innd	1.61x	67 contexts	inndo, innde, inndi
ooji	1.58x	72 contexts	sooji, jooji, booji
ande	1.39x	126 contexts	ɓande, andes, wande
riya	1.51x	75 contexts	riyaz, oriya, uriya
nnde	1.48x	76 contexts	annde, innde, wonnde
goll	1.88x	27 contexts	gollo, gollu, golla
hita	1.91x	21 contexts	chita, shita, ichita
itaa	1.40x	62 contexts	kitaa, gitaar, kitaab
aand	1.30x	65 contexts	aande, aandi, naande
lnde	1.58x	25 contexts	nalnde, jolnde, falnde

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
-ma	-e	24 words	marylise, mahde
-ma	-de	7 words	mahde, mahaande
-ma	-ji	3 words	mabboji, mahngooji

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
jottoriide	jottorii-de	4.5	jottorii
afrikaaji	afrikaa-ji	4.5	afrikaa
hawtaagoji	hawtaago-ji	4.5	hawtaago
jaaynooji	jaaynoo-ji	4.5	jaaynoo
ajiboyede	ajiboye-de	4.5	ajiboye
sungullaji	sungulla-ji	4.5	sungulla
maagiyaŋkooji	ma-agiyaŋkoo-ji	3.0	agiyaŋkoo
matsumoridate	ma-tsumoridate	1.5	tsumoridate
makambako	ma-kambako	1.5	kambako
temperaaji	temperaa-ji	1.5	temperaa
telefoŋaaji	telefoŋaa-ji	1.5	telefoŋaa
hangaruuji	hangaruu-ji	1.5	hangaruu
mangeshkar	ma-ngeshkar	1.5	ngeshkar
maldivian	ma-ldivian	1.5	ldivian
datadowlaaji	datadowlaa-ji	1.5	datadowlaa

6.6 Linguistic Interpretation

Automated Insight: The language Fula shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.

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7. Summary & Recommendations

Production Recommendations

Component	Recommended	Rationale
Tokenizer	64k BPE	Best compression (4.16x)
N-gram	2-gram	Lowest perplexity (296)
Markov	Context-4	Highest predictability (94.4%)
Embeddings	100d	Balanced semantic capture and isotropy

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

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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

Omar Kamali - Omneity Labs

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

• 🌐 Website: wikilangs.org
• 🤗 Models: huggingface.co/wikilangs
• 📊 Data: wikipedia-monthly
• 👤 Author: Omar Kamali
• 🤝 Sponsor: Featherless AI

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Generated by Wikilangs Models Pipeline

Report Date: 2026-01-04 15:09:43