language: ha
language_name: Hausa
language_family: chadic
tags:
- wikilangs
- nlp
- tokenizer
- embeddings
- n-gram
- markov
- wikipedia
- feature-extraction
- sentence-similarity
- tokenization
- n-grams
- markov-chain
- text-mining
- fasttext
- babelvec
- vocabulous
- vocabulary
- monolingual
- family-chadic
license: mit
library_name: wikilangs
pipeline_tag: text-generation
datasets:
- omarkamali/wikipedia-monthly
dataset_info:
name: wikipedia-monthly
description: Monthly snapshots of Wikipedia articles across 300+ languages
metrics:
- name: best_compression_ratio
type: compression
value: 4.398
- name: best_isotropy
type: isotropy
value: 0.8106
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-10T00:00:00.000Z
Hausa - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Hausa 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
1. Tokenizer Evaluation
Results
| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens |
|---|---|---|---|---|
| 8k | 3.763x | 3.76 | 0.2087% | 416,305 |
| 16k | 4.047x | 4.05 | 0.2245% | 387,089 |
| 32k | 4.258x | 4.26 | 0.2362% | 367,890 |
| 64k | 4.398x 🏆 | 4.40 | 0.2440% | 356,119 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Luke Ashworth (an haife shi a shekara ta shi ne dan wasan ƙwallon ƙafa ta ƙasar ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁l uke ▁ash worth ▁( an ▁haife ▁shi ▁a ▁shekara ... (+18 more) |
28 |
| 16k | ▁l uke ▁ash worth ▁( an ▁haife ▁shi ▁a ▁shekara ... (+18 more) |
28 |
| 32k | ▁luke ▁ash worth ▁( an ▁haife ▁shi ▁a ▁shekara ▁ta ... (+17 more) |
27 |
| 64k | ▁luke ▁ashworth ▁( an ▁haife ▁shi ▁a ▁shekara ▁ta ▁shi ... (+16 more) |
26 |
Sample 2: Joshua Ogunlola (an haife shi 19 Afrilu ɗan wasan cricket ne na Najeriya . Ya bu...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁jo shua ▁ogun lo la ▁( an ▁haife ▁shi ▁ ... (+23 more) |
33 |
| 16k | ▁joshua ▁ogun lola ▁( an ▁haife ▁shi ▁ 1 9 ... (+21 more) |
31 |
| 32k | ▁joshua ▁ogun lola ▁( an ▁haife ▁shi ▁ 1 9 ... (+21 more) |
31 |
| 64k | ▁joshua ▁ogun lola ▁( an ▁haife ▁shi ▁ 1 9 ... (+21 more) |
31 |
Sample 3: Roland Omoruyi (an haife shi 5 ga watan Yuni ɗan damben Najeriya ne. Yayi gasa a...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁r oland ▁om or u yi ▁( an ▁haife ▁shi ... (+22 more) |
32 |
| 16k | ▁roland ▁om or u yi ▁( an ▁haife ▁shi ▁ ... (+21 more) |
31 |
| 32k | ▁roland ▁om oru yi ▁( an ▁haife ▁shi ▁ 5 ... (+20 more) |
30 |
| 64k | ▁roland ▁om oru yi ▁( an ▁haife ▁shi ▁ 5 ... (+20 more) |
30 |
Key Findings
- Best Compression: 64k achieves 4.398x compression
- Lowest UNK Rate: 8k with 0.2087% 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 | 49,621 | 15.60 | 604,355 | 12.3% | 29.9% |
| 2-gram | Subword | 196 🏆 | 7.61 | 13,430 | 74.9% | 99.3% |
| 3-gram | Word | 290,081 | 18.15 | 1,505,795 | 4.6% | 13.9% |
| 3-gram | Subword | 1,547 | 10.60 | 97,163 | 36.1% | 78.3% |
| 4-gram | Word | 898,959 | 19.78 | 2,859,421 | 2.8% | 8.4% |
| 4-gram | Subword | 8,574 | 13.07 | 534,835 | 17.2% | 50.0% |
| 5-gram | Word | 876,152 | 19.74 | 2,080,226 | 2.6% | 7.9% |
| 5-gram | Subword | 33,589 | 15.04 | 1,728,117 | 9.7% | 31.4% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a cikin |
313,998 |
| 2 | tare da |
141,234 |
| 3 | a matsayin |
130,861 |
| 4 | da aka |
106,305 |
| 5 | da kuma |
89,834 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a shekara ta |
43,773 |
| 2 | ci gaba da |
25,571 |
| 3 | da ba a |
20,387 |
| 4 | an haife shi |
20,273 |
| 5 | afirka ta kudu |
17,311 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | archived from the original |
15,473 |
| 2 | from the original on |
15,162 |
| 3 | an haife shi a |
14,183 |
| 4 | fassarorin da ba a |
13,066 |
| 5 | masu fassarorin da ba |
13,066 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | archived from the original on |
14,682 |
| 2 | fassarorin da ba a duba |
13,066 |
| 3 | masu fassarorin da ba a |
13,066 |
| 4 | da ba a duba ba |
13,065 |
| 5 | an haife shi a ranar |
5,602 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ |
13,901,672 |
| 2 | n _ |
6,669,315 |
| 3 | a n |
6,077,508 |
| 4 | a r |
5,295,640 |
| 5 | d a |
4,369,505 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ d a |
3,204,702 |
| 2 | d a _ |
3,036,418 |
| 3 | i n _ |
2,924,187 |
| 4 | a n _ |
2,144,471 |
| 5 | a r _ |
2,066,174 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ d a _ |
2,454,989 |
| 2 | _ n a _ |
991,541 |
| 3 | a _ d a |
987,768 |
| 4 | _ t a _ |
853,598 |
| 5 | a _ t a |
717,349 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ d a _ |
720,468 |
| 2 | i k i n _ |
496,368 |
| 3 | _ c i k i |
458,937 |
| 4 | a _ t a _ |
441,174 |
| 5 | c i k i n |
435,066 |
Key Findings
- Best Perplexity: 2-gram (subword) with 196
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~31% 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 | 0.8863 | 1.848 | 10.46 | 661,201 | 11.4% |
| 1 | Subword | 1.0685 | 2.097 | 6.96 | 7,221 | 0.0% |
| 2 | Word | 0.3948 | 1.315 | 2.52 | 6,908,013 | 60.5% |
| 2 | Subword | 0.7292 | 1.658 | 4.69 | 50,274 | 27.1% |
| 3 | Word | 0.2061 | 1.154 | 1.53 | 17,415,052 | 79.4% |
| 3 | Subword | 0.7187 | 1.646 | 4.06 | 235,540 | 28.1% |
| 4 | Word | 0.1035 🏆 | 1.074 | 1.21 | 26,662,755 | 89.6% |
| 4 | Subword | 0.6831 | 1.606 | 3.40 | 956,556 | 31.7% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
da sojojin kasar ke iyakance ma aunin cinikayya da alaƙa da duniya cambridge ta kuma wania kwalejin fort douteuse manazarta nijar da jama a shekara ta bi na wanda aka gudanarna shekara ta everett dutton jump gable ray choto an tsare ta wannan baya kudancin tasman
Context Size 2:
a cikin alal misali ƙwararrun hindu sun nuna cewa suna adawa da shi 23 da kwallaye 26tare da ƙungiyar ƙwallon ƙafa a ƙayyadaddun su ba bisa ka ida ba ta koma tare daa matsayin mai ba da masauki a kowane yanayi taimako ga peter da saint pons de thomières
Context Size 3:
a shekara ta larabci غالية شاكر mawaƙi ne ɗan ƙasar ghana wanda ke taka leda a matsayin ɗanci gaba da amfani duk da wannan karuwar kwanan nan a cikin ya ya shida na yusufu dada ba a duba ba wasan kwaikwawo ta kudu
Context Size 4:
archived from the original on 4 march retrieved 23 january ita ce shekara ta goma sha tara a samanfrom the original on retrieved october 1 dajin yana wurin zama ga nau in ruwa da na kogi daan haife shi a shekara ta ɗan siyasan najeriya ne daga jihar yobe a yankin arewa maso gabas cen
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
ar_ar_yandu_t_am_chea_ƴa_ctar_kin_aya_ar_su,_don
Context Size 2:
a_sc_ake_gwa_gayun_re_que_ta_redeaan_in_huga_cikar_
Context Size 3:
_daidaraktanin_tsada_ya_kuma_na_dokain_mallace_takewac
Context Size 4:
_da_za_manazartar_a_na_mai_don_a_kansaa_da_no._632._an_fo
Key Findings
- Best Predictability: Context-4 (word) with 89.6% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (956,556 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 289,201 |
| Total Tokens | 38,460,059 |
| Mean Frequency | 132.99 |
| Median Frequency | 4 |
| Frequency Std Dev | 6762.57 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | da | 2,472,553 |
| 2 | a | 1,750,033 |
| 3 | na | 1,000,437 |
| 4 | ta | 870,013 |
| 5 | ya | 735,582 |
| 6 | kuma | 428,826 |
| 7 | cikin | 427,094 |
| 8 | ba | 345,573 |
| 9 | an | 263,110 |
| 10 | daga | 256,194 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | lakisha | 2 |
| 2 | tanish | 2 |
| 3 | katakanaタニシャ | 2 |
| 4 | tanishia | 2 |
| 5 | tinisha | 2 |
| 6 | tír | 2 |
| 7 | sunami | 2 |
| 8 | mamis | 2 |
| 9 | mywo | 2 |
| 10 | iyaz | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.2631 |
| R² (Goodness of Fit) | 0.985164 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 43.1% |
| Top 1,000 | 71.6% |
| Top 5,000 | 87.4% |
| Top 10,000 | 91.4% |
Key Findings
- Zipf Compliance: R²=0.9852 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 43.1% of corpus
- Long Tail: 279,201 words needed for remaining 8.6% 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 | 0.8106 | 0.4067 | N/A | N/A |
| mono_64d | 64 | 0.7783 | 0.3527 | N/A | N/A |
| mono_128d | 128 | 0.6921 | 0.2853 | N/A | N/A |
| aligned_32d | 32 | 0.8106 🏆 | 0.3959 | 0.3320 | 0.7500 |
| aligned_64d | 64 | 0.7783 | 0.3627 | 0.5680 | 0.8980 |
| aligned_128d | 128 | 0.6921 | 0.3062 | 0.6520 | 0.9100 |
Key Findings
- Best Isotropy: aligned_32d with 0.8106 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3516. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 65.2% 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 | -0.749 | 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 |
adéọlá, andros, a9 |
-ma |
mahbubani, mackandal, madejski |
-s |
spahis, songulashvili, srw |
-m |
mohie, mufassir, mahbubani |
-n |
nnung, naturist, nogomania |
-b |
bachtarzi, bosley, barbashi |
-k |
kwararawar, kantako, kalaman |
-ba |
bachtarzi, barbashi, balar |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
tsarkakarta, gunilla, ejeagha |
-s |
conscripts, chucks, spahis |
-e |
coatesville, paleotemperature, renfrewshire |
-n |
lallausan, incan, hakannan |
-i |
empangeni, bachtarzi, barbashi |
-r |
kwararawar, balar, mufassir |
-o |
derzhkino, vio, kantako |
-an |
lallausan, incan, hakannan |
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 |
|---|---|---|---|
ekar |
2.65x | 71 contexts | ekara, lekar, sekara |
ungi |
2.31x | 129 contexts | bungi, fungi, lungi |
ngiy |
2.51x | 74 contexts | ungiya, tangiya, ungiyar |
afir |
2.80x | 41 contexts | kafir, afire, afira |
heka |
2.48x | 64 contexts | sheka, bheka, cheka |
atio |
2.30x | 89 contexts | ratio, patio, natio |
eriy |
2.31x | 44 contexts | eriyo, eriya, teriy |
anay |
2.31x | 41 contexts | anayi, anaya, anaye |
nyar |
2.01x | 54 contexts | nyara, nyari, cinyar |
amfa |
2.30x | 32 contexts | amfan, camfa, amfar |
arsh |
1.75x | 95 contexts | warsh, karsh, arsht |
bban |
2.12x | 42 contexts | abban, dabban, kibban |
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 |
|---|---|---|---|
-s |
-a |
89 words | sonaiya, skikda |
-k |
-a |
84 words | kwatankwacinsa, kadiyawa |
-a |
-a |
79 words | adaora, aña |
-a |
-e |
66 words | alane, aggiunte |
-b |
-a |
63 words | brunhilda, barasa |
-s |
-e |
59 words | sinninghe, serere |
-ma |
-a |
58 words | mashogwawara, maikusa |
-t |
-a |
53 words | taila, tcha |
-a |
-s |
52 words | aidas, agnews |
-m |
-a |
52 words | mujica, musina |
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 |
|---|---|---|---|
| omanawanui | omanawan-u-i |
7.5 | u |
| chickpeas | chickpe-a-s |
7.5 | a |
| chieveley | chievel-e-y |
7.5 | e |
| bunamwaya | bunamw-a-ya |
7.5 | a |
| manawashi | ma-na-washi |
7.5 | washi |
| zamaninsa | zamanin-s-a |
7.5 | s |
| tanacikin | ta-na-cikin |
7.5 | cikin |
| fortalezas | fortalez-a-s |
7.5 | a |
| bangarensa | bangaren-s-a |
7.5 | s |
| equalizing | equaliz-i-ng |
7.5 | i |
| abdulwahid | abdulwah-i-d |
7.5 | i |
| rangitata | rangi-ta-ta |
7.5 | ta |
| parkinsons | parkins-on-s |
6.0 | parkins |
| almajiran | al-ma-jiran |
6.0 | jiran |
| finalises | final-is-es |
6.0 | final |
6.6 Linguistic Interpretation
Automated Insight: The language Hausa 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 (4.40x) |
| N-gram | 2-gram | Lowest perplexity (196) |
| Markov | Context-4 | Highest predictability (89.6%) |
| 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) × 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
- 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
- 🌐 Website: wikilangs.org
- 🤗 Models: huggingface.co/wikilangs
- 📊 Data: wikipedia-monthly
- 👤 Author: Omar Kamali
- 🤝 Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-10 03:18:39



















