language: bs
language_name: Bosnian
language_family: slavic_south
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-slavic_south
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: 4.709
- name: best_isotropy
type: isotropy
value: 0.6791
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-04T00:00:00.000Z
Bosnian - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Bosnian 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 | 3.626x | 3.63 | 0.1221% | 1,306,515 |
| 16k | 4.032x | 4.03 | 0.1358% | 1,174,869 |
| 32k | 4.404x | 4.40 | 0.1483% | 1,075,596 |
| 64k | 4.709x 🏆 | 4.71 | 0.1586% | 1,005,898 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Vrpolje Ljubomir je naseljeno mjesto u gradu Trebinju, Bosna i Hercegovina. Stan...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁vr polje ▁lju bo mir ▁je ▁naseljeno ▁mjesto ▁u ▁gradu ... (+16 more) |
26 |
| 16k | ▁vr polje ▁ljubo mir ▁je ▁naseljeno ▁mjesto ▁u ▁gradu ▁trebinju ... (+13 more) |
23 |
| 32k | ▁vr polje ▁ljubomir ▁je ▁naseljeno ▁mjesto ▁u ▁gradu ▁trebinju , ... (+12 more) |
22 |
| 64k | ▁vrpolje ▁ljubomir ▁je ▁naseljeno ▁mjesto ▁u ▁gradu ▁trebinju , ▁bosna ... (+11 more) |
21 |
Sample 2: Kobatovci su naseljeno mjesto u gradu Laktaši, Bosna i Hercegovina. Stanovništvo...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁ko ba to vci ▁su ▁naseljeno ▁mjesto ▁u ▁gradu ▁la ... (+17 more) |
27 |
| 16k | ▁koba to vci ▁su ▁naseljeno ▁mjesto ▁u ▁gradu ▁lakta ši ... (+14 more) |
24 |
| 32k | ▁koba tovci ▁su ▁naseljeno ▁mjesto ▁u ▁gradu ▁laktaši , ▁bosna ... (+11 more) |
21 |
| 64k | ▁koba tovci ▁su ▁naseljeno ▁mjesto ▁u ▁gradu ▁laktaši , ▁bosna ... (+11 more) |
21 |
Sample 3: Decenija 780-ih trajala je od 1. januara 780. do 31. decembra 789. godine. Događ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁dece nija ▁ 7 8 0 - ih ▁traja la ... (+31 more) |
41 |
| 16k | ▁decenija ▁ 7 8 0 - ih ▁trajala ▁je ▁od ... (+29 more) |
39 |
| 32k | ▁decenija ▁ 7 8 0 - ih ▁trajala ▁je ▁od ... (+29 more) |
39 |
| 64k | ▁decenija ▁ 7 8 0 - ih ▁trajala ▁je ▁od ... (+29 more) |
39 |
Key Findings
- Best Compression: 64k achieves 4.709x compression
- Lowest UNK Rate: 8k with 0.1221% 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 | 80,810 | 16.30 | 664,455 | 9.9% | 28.7% |
| 2-gram | Subword | 328 🏆 | 8.36 | 10,943 | 62.1% | 98.9% |
| 3-gram | Word | 100,258 | 16.61 | 924,847 | 11.7% | 30.0% |
| 3-gram | Subword | 3,216 | 11.65 | 100,916 | 20.8% | 64.5% |
| 4-gram | Word | 134,611 | 17.04 | 1,482,132 | 12.9% | 30.8% |
| 4-gram | Subword | 20,996 | 14.36 | 689,460 | 8.6% | 31.6% |
| 5-gram | Word | 88,861 | 16.44 | 1,107,611 | 15.0% | 34.2% |
| 5-gram | Subword | 89,572 | 16.45 | 2,357,541 | 4.7% | 18.4% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | spiralna galaksija |
91,078 |
| 2 | vanjski linkovi |
68,061 |
| 3 | se u |
45,470 |
| 4 | reference vanjski |
44,256 |
| 5 | ngc ic |
40,015 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | reference vanjski linkovi |
44,193 |
| 2 | prečkasta spiralna galaksija |
32,671 |
| 3 | zavod za statistiku |
22,679 |
| 4 | popisu stanovništva godine |
20,723 |
| 5 | na popisu stanovništva |
20,184 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | na popisu stanovništva godine |
20,088 |
| 2 | državni zavod za statistiku |
14,619 |
| 3 | broj stanovnika po popisima |
13,853 |
| 4 | reference vanjski linkovi u |
13,677 |
| 5 | novi opći katalog spisak |
13,518 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | također pogledajte novi opći katalog |
13,518 |
| 2 | pogledajte novi opći katalog spisak |
13,517 |
| 3 | historija do teritorijalne reorganizacije u |
13,436 |
| 4 | interaktivni ngc online katalog astronomska |
13,248 |
| 5 | ngc online katalog astronomska baza |
13,248 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ |
5,724,674 |
| 2 | e _ |
4,473,918 |
| 3 | j e |
3,904,782 |
| 4 | i _ |
3,802,145 |
| 5 | _ s |
3,388,803 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | j e _ |
1,738,823 |
| 2 | n a _ |
1,237,973 |
| 3 | _ n a |
1,177,081 |
| 4 | _ j e |
1,128,189 |
| 5 | _ p o |
1,086,240 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ j e _ |
924,709 |
| 2 | i j a _ |
457,403 |
| 3 | _ n a _ |
454,266 |
| 4 | _ s e _ |
399,769 |
| 5 | i j e _ |
316,944 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ j e _ |
263,188 |
| 2 | _ g o d i |
195,374 |
| 3 | g o d i n |
192,967 |
| 4 | o _ j e _ |
190,942 |
| 5 | _ n g c _ |
158,105 |
Key Findings
- Best Perplexity: 2-gram (subword) with 328
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~18% 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 | 0.9835 | 1.977 | 9.99 | 1,096,434 | 1.7% |
| 1 | Subword | 1.0155 | 2.022 | 7.71 | 3,863 | 0.0% |
| 2 | Word | 0.3071 | 1.237 | 1.90 | 10,934,441 | 69.3% |
| 2 | Subword | 0.9460 | 1.927 | 6.59 | 29,789 | 5.4% |
| 3 | Word | 0.1029 | 1.074 | 1.20 | 20,758,711 | 89.7% |
| 3 | Subword | 0.9514 | 1.934 | 5.47 | 196,125 | 4.9% |
| 4 | Word | 0.0378 🏆 | 1.027 | 1.06 | 24,939,260 | 96.2% |
| 4 | Subword | 0.9416 | 1.921 | 4.19 | 1,073,504 | 5.8% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
i sfrj popis ostali su nove ere ce espanyol olímpic lluís d očigledno drevni grad uje počeo zanimati za testiranje je holoenzim počinje u genima patofiziološki mehanizam samouništenja...u zemaljskom muzeju i rukama do teritorijalne reorganizacije u 13 33 923 0 plesni parovi još
Context Size 2:
spiralna galaksija s ic 0 51 nepoznato 3 0 3 uglovnih minuta s a d p gdjevanjski linkovi ic ic na aladin pregledaču ic katalog na ngc ic objekti sljedeći spisak sadrži desetse u četvrtfinale potom je bila poljska glumica koja iza sebe thomasa morgensterna koch vor morgenst...
Context Size 3:
reference vanjski linkovi zvanični sajt općine teslićprečkasta spiralna galaksija sbab p ngc 5 41 emisijska maglina en također pogledajte novi opći katal...zavod za statistiku i evidenciju fnrj i sfrj popis stanovništva i godine knjiga narodnosni i vjerski...
Context Size 4:
na popisu stanovništva godine naseljeno mjesto majkovi je imalo 273 stanovnika broj stanovnika po po...državni zavod za statistiku naselja i stanovništvo republike hrvatske 23 0 84 85 129 118 110 149 130...broj stanovnika po popisima 31 38 napomena u nastalo izdvajanjem dijela iz naselja buk vlaka i opuze...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_diintk,_d,_pri_arafužde_0452)_binavjuc_stodite_
Context Size 2:
a_stal)_teiftupnge_podilnetskimostjedin_štvoji_izvi
Context Size 3:
je_nazi_se_daklenena_predočan_heime__nama_prija,_datim
Context Size 4:
_je_od_na_15_462_sbija_deset_na_od_tri_na_prema_oltara_ko
Key Findings
- Best Predictability: Context-4 (word) with 96.2% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (1,073,504 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 504,813 |
| Total Tokens | 32,497,466 |
| Mean Frequency | 64.38 |
| Median Frequency | 4 |
| Frequency Std Dev | 2777.29 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | i | 945,166 |
| 2 | je | 931,753 |
| 3 | u | 924,423 |
| 4 | na | 457,967 |
| 5 | se | 403,233 |
| 6 | su | 292,637 |
| 7 | od | 271,227 |
| 8 | za | 266,768 |
| 9 | 1 | 253,853 |
| 10 | ngc | 206,389 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | antiinfektivne | 2 |
| 2 | veditors | 2 |
| 3 | esac | 2 |
| 4 | martirosyan | 2 |
| 5 | neuzimanje | 2 |
| 6 | spekarski | 2 |
| 7 | probabilizamski | 2 |
| 8 | dtl | 2 |
| 9 | setap | 2 |
| 10 | visoravani | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 0.9660 |
| R² (Goodness of Fit) | 0.999467 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 32.1% |
| Top 1,000 | 53.1% |
| Top 5,000 | 68.7% |
| Top 10,000 | 75.7% |
Key Findings
- Zipf Compliance: R²=0.9995 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 32.1% of corpus
- Long Tail: 494,813 words needed for remaining 24.3% 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 | 0.6791 🏆 | 0.3557 | N/A | N/A |
| mono_64d | 64 | 0.6789 | 0.2931 | N/A | N/A |
| mono_128d | 128 | 0.6505 | 0.2294 | N/A | N/A |
| aligned_32d | 32 | 0.6791 | 0.3517 | 0.1940 | 0.5160 |
| aligned_64d | 64 | 0.6789 | 0.2923 | 0.3680 | 0.7380 |
| aligned_128d | 128 | 0.6505 | 0.2262 | 0.4520 | 0.7800 |
Key Findings
- Best Isotropy: mono_32d with 0.6791 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.2914. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 45.2% 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 | 0.860 | High 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
| Prefix | Examples |
|---|---|
-pr |
promotriti, pristrasno, priznavajući |
-po |
podstilova, postporođajno, položene |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
ćamila, afrića, canaima |
-e |
candace, emilie, feničane |
-i |
izrađujući, promotriti, opstruktivni |
-om |
holivudskom, ekvatorom, mckaganom |
-na |
odoljena, zloćudna, interamericana |
-ni |
opstruktivni, bogobojazni, normani |
-og |
vazdušnog, nanizanog, modularnog |
-ja |
inkrustacija, gaskonja, bradikardija |
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 |
|---|---|---|---|
anov |
1.53x | 627 contexts | panov, šanov, anova |
ijsk |
1.54x | 411 contexts | ijski, šijska, azijske |
renc |
2.13x | 74 contexts | renca, renci, renco |
kovi |
1.39x | 620 contexts | okovi, ković, kovič |
alak |
2.51x | 33 contexts | malak, talak, malaku |
selj |
1.97x | 81 contexts | selja, seljo, crselj |
jekt |
1.94x | 77 contexts | objekt, subjekt, objektu |
iral |
1.65x | 165 contexts | viral, ziral, miral |
ksij |
2.04x | 55 contexts | iksija, oleksij, taksiju |
vanj |
1.56x | 169 contexts | vanju, vanji, kvanj |
acij |
1.45x | 219 contexts | acije, acija, lacij |
bjek |
2.29x | 27 contexts | ribjek, žabjek, objeki |
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 |
|---|---|---|---|
-pr |
-a |
64 words | pripaja, prezentska |
-po |
-a |
56 words | posttestikulska, pokroviteljima |
-pr |
-e |
50 words | prijestupne, pregljeve |
-pr |
-i |
45 words | prevareni, prebacivani |
-po |
-e |
39 words | potterove, polusušne |
-po |
-i |
36 words | populaciji, potterovi |
-pr |
-om |
14 words | pramajkom, prustom |
-pr |
-na |
14 words | pravougaona, pretražena |
-pr |
-ni |
12 words | prevareni, prebacivani |
-po |
-na |
11 words | ponosna, polipropilena |
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 |
|---|---|---|---|
| nerazvijenog | nerazvijen-og |
4.5 | nerazvijen |
| langleyja | langley-ja |
4.5 | langley |
| nadvratnikom | nadvratnik-om |
4.5 | nadvratnik |
| zahvaćenog | zahvaćen-og |
4.5 | zahvaćen |
| posigurno | po-sigurno |
4.5 | sigurno |
| nepostojanja | nepostojan-ja |
4.5 | nepostojan |
| dramatizirana | dramatizira-na |
4.5 | dramatizira |
| newtonovom | newtonov-om |
4.5 | newtonov |
| bertoluccija | bertolucci-ja |
4.5 | bertolucci |
| uravnoteženog | uravnotežen-og |
4.5 | uravnotežen |
| ilustriranom | ilustriran-om |
4.5 | ilustriran |
| saobraćajne | saobraćaj-ne |
4.5 | saobraćaj |
| herlihyja | herlihy-ja |
4.5 | herlihy |
| čehovljevog | čehovljev-og |
4.5 | čehovljev |
| rječnikom | rječnik-om |
4.5 | rječnik |
6.6 Linguistic Interpretation
Automated Insight: The language Bosnian 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
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (4.71x) |
| N-gram | 2-gram | Lowest perplexity (328) |
| Markov | Context-4 | Highest predictability (96.2%) |
| 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: 2026-01-04 01:24:53



















