language: ig
language_name: Igbo
language_family: atlantic_yoruba_igbo
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-atlantic_yoruba_igbo
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: 3.745
- name: best_isotropy
type: isotropy
value: 0.8093
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-10T00:00:00.000Z
Igbo - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Igbo 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 | 3.236x | 3.24 | 0.3842% | 188,457 |
| 16k | 3.437x | 3.44 | 0.4081% | 177,404 |
| 32k | 3.614x | 3.62 | 0.4291% | 168,744 |
| 64k | 3.745x 🏆 | 3.75 | 0.4447% | 162,811 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Duli bu nwere ike izo aka na: Duli, Ardabil, Iran Duli, Hamadan, Iran Duli, Nepa...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁du li ▁bu ▁nwere ▁ike ▁izo ▁aka ▁na : ▁du ... (+31 more) |
41 |
| 16k | ▁du li ▁bu ▁nwere ▁ike ▁izo ▁aka ▁na : ▁du ... (+31 more) |
41 |
| 32k | ▁du li ▁bu ▁nwere ▁ike ▁izo ▁aka ▁na : ▁du ... (+31 more) |
41 |
| 64k | ▁du li ▁bu ▁nwere ▁ike ▁izo ▁aka ▁na : ▁du ... (+31 more) |
41 |
Sample 2: Purukotó (Purucotó) bụ asụsụ Cariban na-apụ n'anya . Kaufman debere ya na ngalab...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁pu ru ko t ó ▁( pu ru co t ... (+30 more) |
40 |
| 16k | ▁puru kot ó ▁( puru co tó ) ▁bụ ▁asụsụ ... (+24 more) |
34 |
| 32k | ▁puru kot ó ▁( puru co tó ) ▁bụ ▁asụsụ ... (+22 more) |
32 |
| 64k | ▁puru kot ó ▁( puru co tó ) ▁bụ ▁asụsụ ... (+22 more) |
32 |
Sample 3: Manombai (nke a dị ka Wokam) bụ otu n'ime Asụsụ Aru, nke ndị bi na Aru Islands, ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁man om bai ▁( nke ▁a ▁dị ▁ka ▁wo ka ... (+24 more) |
34 |
| 16k | ▁man om bai ▁( nke ▁a ▁dị ▁ka ▁wo kam ... (+23 more) |
33 |
| 32k | ▁man om bai ▁( nke ▁a ▁dị ▁ka ▁wo kam ... (+23 more) |
33 |
| 64k | ▁man om bai ▁( nke ▁a ▁dị ▁ka ▁wo kam ... (+23 more) |
33 |
Key Findings
- Best Compression: 64k achieves 3.745x compression
- Lowest UNK Rate: 8k with 0.3842% 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 | 26,246 | 14.68 | 359,156 | 15.9% | 37.9% |
| 2-gram | Subword | 280 🏆 | 8.13 | 12,173 | 64.0% | 99.0% |
| 3-gram | Word | 161,068 | 17.30 | 916,288 | 6.8% | 18.8% |
| 3-gram | Subword | 2,183 | 11.09 | 87,468 | 30.4% | 71.2% |
| 4-gram | Word | 532,594 | 19.02 | 1,757,879 | 4.0% | 10.9% |
| 4-gram | Subword | 11,363 | 13.47 | 475,134 | 17.2% | 44.2% |
| 5-gram | Word | 559,672 | 19.09 | 1,291,016 | 3.5% | 8.9% |
| 5-gram | Subword | 42,173 | 15.36 | 1,479,265 | 10.6% | 30.3% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | dị ka |
140,163 |
| 2 | a na |
112,277 |
| 3 | ọ bụ |
105,148 |
| 4 | ya na |
99,998 |
| 5 | site na |
75,118 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ma ọ bụ |
47,538 |
| 2 | dị ka onye |
33,165 |
| 3 | dị iche iche |
22,236 |
| 4 | ndi di ndụ |
19,640 |
| 5 | na eme ihe |
19,264 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | mmadụ ndi di ndụ |
17,108 |
| 2 | òtù mmadụ ndi di |
17,101 |
| 3 | na eme ihe nkiri |
13,842 |
| 4 | akụkọ ihe mere eme |
12,735 |
| 5 | dị ka onye na |
9,212 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | òtù mmadụ ndi di ndụ |
17,099 |
| 2 | onye na eme ihe nkiri |
6,973 |
| 3 | òtù pages with unreviewed translations |
4,329 |
| 4 | e dere n ala ala |
4,004 |
| 5 | ihe e dere n ala |
3,927 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ n |
5,638,183 |
| 2 | a _ |
5,376,024 |
| 3 | e _ |
4,318,368 |
| 4 | n a |
2,708,872 |
| 5 | _ a |
2,215,860 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ n a |
2,367,266 |
| 2 | n a _ |
1,687,800 |
| 3 | a _ n |
1,387,006 |
| 4 | e _ n |
1,187,243 |
| 5 | _ n k |
938,041 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ n a _ |
1,567,660 |
| 2 | _ n k e |
743,366 |
| 3 | n k e _ |
735,578 |
| 4 | _ n a - |
656,811 |
| 5 | a _ n a |
579,489 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ n k e _ |
722,504 |
| 2 | _ n d ị _ |
399,246 |
| 3 | _ i h e _ |
373,739 |
| 4 | _ n a - e |
351,252 |
| 5 | a _ n a _ |
349,914 |
Key Findings
- Best Perplexity: 2-gram (subword) with 280
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~30% 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 | 0.8607 | 1.816 | 9.02 | 510,524 | 13.9% |
| 1 | Subword | 1.0714 | 2.101 | 7.32 | 6,437 | 0.0% |
| 2 | Word | 0.3599 | 1.283 | 2.38 | 4,598,546 | 64.0% |
| 2 | Subword | 0.7215 | 1.649 | 4.70 | 47,137 | 27.9% |
| 3 | Word | 0.1996 | 1.148 | 1.52 | 10,914,867 | 80.0% |
| 3 | Subword | 0.6901 | 1.613 | 3.94 | 221,281 | 31.0% |
| 4 | Word | 0.1054 🏆 | 1.076 | 1.21 | 16,623,256 | 89.5% |
| 4 | Subword | 0.6621 | 1.582 | 3.28 | 871,504 | 33.8% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
na mmemme ahụ n ọtụtụ ndị dugara na abụọ nke 302 west sepik province nke anke na kaduna kama nke ndị agha ebumnuche na ndị na otu a na ya olulun ime ndị o kwuru na ahụ na eto ya niile na dholuo okpukpe n etiti
Context Size 2:
dị ka nke abụọ marathon nke etiopia onye otu bọọdụ na achọ ọfịs dabere na ike araromirea na enyo enyo ébé ọ bi na ya jide nche anwụ nke all progressives congress apcọ bụ akụkụ nke machar colony akụkụ nke usoro nke na ezere ọkwa nna ya bụ 531
Context Size 3:
ma ọ bụ tin ore ihe ndị fọdụrụ na german army dina na nzuzo na eduga na nkwupụtadị ka onye edemede na onye na ezisa ozi ọma na ghana ebe ọ mmụta akwụkwọ na adịbeghịdị iche iche nke a ga enyocha n ihu nyocha nke chọpụtara ụzọ agha oke ala nke dara
Context Size 4:
òtù mmadụ ndi di ndụ òtù pages with unreviewed translations __lead_section__ áká_ịkẹngạ thumb ihe ej...na eme ihe nkiri kacha mma na ọrụ dị mkpa nke ala ala dị n ibéetiti ahụ áká_èkpè thumbakụkọ ihe mere eme na muizenberg cape town mbipụta abụ m na efe efe carapace doo wop girls of
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_i_natọ_nọ_ndonaa_ngbụ_ondiy_ma_e_i_nnropana-e_ụ
Context Size 2:
_ng_porosii_nke_aa_ọdụ_na_ka_hasụ_e_12.2,_ndihe_ọzọ
Context Size 3:
_na-ụdị_nwunyere_ona_nke_na_gọzi_na_a_nke_umuagest_6_k
Context Size 4:
_na_baltham_taa_aː__nke_12,_ndị_burugbnke_ọrụ_egypt_mara_
Key Findings
- Best Predictability: Context-4 (word) with 89.5% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (871,504 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 220,608 |
| Total Tokens | 24,129,478 |
| Mean Frequency | 109.38 |
| Median Frequency | 4 |
| Frequency Std Dev | 5866.90 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | na | 2,239,768 |
| 2 | nke | 735,052 |
| 3 | n | 615,909 |
| 4 | ihe | 410,419 |
| 5 | ndị | 405,283 |
| 6 | ọ | 395,253 |
| 7 | ya | 384,400 |
| 8 | a | 339,042 |
| 9 | dị | 325,019 |
| 10 | onye | 319,693 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | agbalagbo | 2 |
| 2 | akpalagu | 2 |
| 3 | okwule | 2 |
| 4 | otuogene | 2 |
| 5 | ovili | 2 |
| 6 | anyansi | 2 |
| 7 | ifediorah | 2 |
| 8 | chidalu | 2 |
| 9 | okebo | 2 |
| 10 | pdna | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.2680 |
| R² (Goodness of Fit) | 0.992771 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 50.1% |
| Top 1,000 | 75.8% |
| Top 5,000 | 88.4% |
| Top 10,000 | 91.8% |
Key Findings
- Zipf Compliance: R²=0.9928 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 50.1% of corpus
- Long Tail: 210,608 words needed for remaining 8.2% 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 | 0.8093 | 0.4233 | N/A | N/A |
| mono_64d | 64 | 0.7925 | 0.3195 | N/A | N/A |
| mono_128d | 128 | 0.7531 | 0.2578 | N/A | N/A |
| aligned_32d | 32 | 0.8093 🏆 | 0.4482 | 0.2740 | 0.7140 |
| aligned_64d | 64 | 0.7925 | 0.3263 | 0.4540 | 0.8100 |
| aligned_128d | 128 | 0.7531 | 0.2597 | 0.6140 | 0.8900 |
Key Findings
- Best Isotropy: aligned_32d with 0.8093 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3391. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 61.4% 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 | -0.708 | 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 |
agathon, aboudia, ankusha |
-m |
mertsalov, millionaire, müttererholungsverein |
-n |
naimdb, nasril, nwpl |
-ma |
malitereihe, matsumoto, mackerdhuj |
-s |
schnee, shabaka, shuaibiu |
-b |
beloved, bourguiba, brunhild |
-k |
kechie, kareem, kilolo |
-e |
edekọrọ, eribake, edremoda |
Productive Suffixes
| Suffix | Examples |
|---|---|
-e |
kechie, millionaire, ghọtahie |
-a |
yulia, hekka, bourguiba |
-s |
hypochlorous, pleiades, morcus |
-n |
müttererholungsverein, fleischman, agathon |
-i |
wabehi, hajjaji, adefarati |
-r |
mountaineer, leaver, br |
-o |
turbo, wamco, kilolo |
-t |
chiat, rajput, zuidoost |
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 |
|---|---|---|---|
atio |
2.41x | 79 contexts | ation, ratio, patio |
fric |
2.53x | 46 contexts | afric, frick, friche |
nati |
2.46x | 46 contexts | natij, inati, natie |
epụt |
2.22x | 64 contexts | kepụta, ndepụt, mepụta |
alit |
1.92x | 109 contexts | alita, alito, palit |
kwad |
2.39x | 40 contexts | kwadi, kwado, kwada |
wany |
1.95x | 71 contexts | wanyä, nwany, wanye |
gbas |
2.08x | 54 contexts | gbasa, egbas, ịgbasa |
nwan |
1.93x | 73 contexts | nwany, enwan, nwana |
ụtar |
2.04x | 56 contexts | ụtara, ụtarị, tụtara |
ọpụt |
1.94x | 68 contexts | ọpụta, kọpụta, họpụta |
nwet |
2.21x | 39 contexts | nweta, nwetụ, nwete |
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 |
|---|---|---|---|
-a |
-a |
92 words | amazônia, arema |
-m |
-e |
74 words | montefiore, mmachineke |
-m |
-s |
70 words | marthinus, missionaries |
-m |
-a |
69 words | mgbasasa, mëhneja |
-a |
-e |
69 words | adae, adamorobe |
-s |
-s |
66 words | schreiners, strives |
-a |
-s |
62 words | antiperspirants, autonomous |
-s |
-e |
55 words | stalemate, sute |
-k |
-a |
53 words | kadina, katọkwara |
-s |
-a |
51 words | spelaea, shadia |
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 |
|---|---|---|---|
| avanzadoras | avanzador-a-s |
7.5 | a |
| commutata | commu-ta-ta |
7.5 | ta |
| starfruit | starfru-i-t |
7.5 | i |
| johnsonmain | johnsonm-a-in |
7.5 | a |
| maniapoto | maniapo-t-o |
7.5 | t |
| hollywoodland | hollywoodl-an-d |
7.5 | an |
| camptoceras | camptoce-ra-s |
7.5 | ra |
| expressway | express-wa-y |
7.5 | wa |
| minnijean | minnij-e-an |
7.5 | e |
| multiflora | multifl-o-ra |
7.5 | o |
| christened | christe-n-ed |
7.5 | n |
| westfälisch | westfälis-c-h |
7.5 | c |
| caballero | ca-baller-o |
6.0 | baller |
| personnel | person-ne-l |
6.0 | person |
| ameringer | ameri-ng-er |
6.0 | ameri |
6.6 Linguistic Interpretation
Automated Insight: The language Igbo 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 (3.75x) |
| N-gram | 2-gram | Lowest perplexity (280) |
| Markov | Context-4 | Highest predictability (89.5%) |
| 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 05:45:06



















