language: sq
language_name: Albanian
language_family: albanian
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-albanian
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: 4.622
- name: best_isotropy
type: isotropy
value: 0.7903
- name: vocabulary_size
type: vocab
value: 0
generated: 2026-01-11T00:00:00.000Z
Albanian - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Albanian 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 | 3.687x | 3.69 | 0.1022% | 1,633,568 |
| 16k | 4.049x | 4.05 | 0.1123% | 1,487,544 |
| 32k | 4.376x | 4.38 | 0.1213% | 1,376,347 |
| 64k | 4.622x 🏆 | 4.62 | 0.1281% | 1,303,233 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: është vendbanim në Ish Republikën Jugosllave të Maqedonisë. në komunën e Novacës
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁është ▁vendbanim ▁në ▁ish ▁republikën ▁jugosllave ▁të ▁maqedonisë . ▁në ... (+5 more) |
15 |
| 16k | ▁është ▁vendbanim ▁në ▁ish ▁republikën ▁jugosllave ▁të ▁maqedonisë . ▁në ... (+4 more) |
14 |
| 32k | ▁është ▁vendbanim ▁në ▁ish ▁republikën ▁jugosllave ▁të ▁maqedonisë . ▁në ... (+4 more) |
14 |
| 64k | ▁është ▁vendbanim ▁në ▁ish ▁republikën ▁jugosllave ▁të ▁maqedonisë . ▁në ... (+4 more) |
14 |
Sample 2: Mbi vitin 390 p.e.s.. Ngjarje Lindje Vdekje 390 p.e.s. p.e.s.
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁mbi ▁vitin ▁ 3 9 0 ▁p . e . ... (+21 more) |
31 |
| 16k | ▁mbi ▁vitin ▁ 3 9 0 ▁p . e . ... (+21 more) |
31 |
| 32k | ▁mbi ▁vitin ▁ 3 9 0 ▁p . e . ... (+21 more) |
31 |
| 64k | ▁mbi ▁vitin ▁ 3 9 0 ▁p . e . ... (+21 more) |
31 |
Sample 3: Shqiponja Perandorake e Lindjes (Aquila heliaca) është një Shqiponjë e madhe mbr...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁shqip on ja ▁perandora ke ▁e ▁lindjes ▁( aqu ila ... (+20 more) |
30 |
| 16k | ▁shqiponja ▁perandorake ▁e ▁lindjes ▁( aqu ila ▁he lia ca ... (+16 more) |
26 |
| 32k | ▁shqiponja ▁perandorake ▁e ▁lindjes ▁( aqu ila ▁he lia ca ... (+15 more) |
25 |
| 64k | ▁shqiponja ▁perandorake ▁e ▁lindjes ▁( aqu ila ▁he lia ca ... (+12 more) |
22 |
Key Findings
- Best Compression: 64k achieves 4.622x compression
- Lowest UNK Rate: 8k with 0.1022% 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 | 103,585 | 16.66 | 735,922 | 8.7% | 21.6% |
| 2-gram | Subword | 273 🏆 | 8.09 | 13,805 | 67.0% | 99.1% |
| 3-gram | Word | 407,031 | 18.63 | 1,487,174 | 3.6% | 11.6% |
| 3-gram | Subword | 2,395 | 11.23 | 109,546 | 26.0% | 70.6% |
| 4-gram | Word | 1,138,059 | 20.12 | 2,670,902 | 2.8% | 7.3% |
| 4-gram | Subword | 14,457 | 13.82 | 620,829 | 12.9% | 37.9% |
| 5-gram | Word | 918,336 | 19.81 | 1,883,419 | 3.3% | 7.9% |
| 5-gram | Subword | 61,644 | 15.91 | 2,032,514 | 7.3% | 23.3% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | për të |
102,538 |
| 2 | në vitin |
94,038 |
| 3 | e tij |
91,198 |
| 4 | është një |
86,400 |
| 5 | më të |
65,002 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | lidhje të jashtme |
34,104 |
| 2 | për shkak të |
15,607 |
| 3 | e tij të |
14,217 |
| 4 | është një komunë |
12,600 |
| 5 | referime lidhje të |
12,450 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | referime lidhje të jashtme |
12,389 |
| 2 | është një komunë në |
9,790 |
| 3 | referimet lidhje të jashtme |
8,703 |
| 4 | për herë të parë |
6,794 |
| 5 | ka një popullsi prej |
5,533 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | km referimet lidhje të jashtme |
4,615 |
| 2 | lidhje të jashtme informacion i |
3,985 |
| 3 | të jashtme informacion i përgjithshëm |
3,984 |
| 4 | informacion i përgjithshëm harta e |
3,984 |
| 5 | i përgjithshëm harta e kantonit |
3,984 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ë _ |
7,800,858 |
| 2 | e _ |
6,917,648 |
| 3 | _ n |
3,861,981 |
| 4 | t ë |
3,696,217 |
| 5 | _ t |
3,628,673 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | t ë _ |
2,956,258 |
| 2 | n ë _ |
2,160,628 |
| 3 | _ t ë |
2,148,124 |
| 4 | _ e _ |
1,801,956 |
| 5 | _ n ë |
1,679,817 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ t ë _ |
2,122,187 |
| 2 | _ n ë _ |
1,575,702 |
| 3 | d h e _ |
1,117,215 |
| 4 | _ d h e |
974,183 |
| 5 | _ p ë r |
960,414 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ d h e _ |
966,499 |
| 2 | _ n j ë _ |
630,318 |
| 3 | e _ t ë _ |
584,704 |
| 4 | _ p ë r _ |
452,162 |
| 5 | _ n g a _ |
451,796 |
Key Findings
- Best Perplexity: 2-gram (subword) with 273
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~23% 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 | 0.9594 | 1.945 | 9.98 | 960,080 | 4.1% |
| 1 | Subword | 1.0835 | 2.119 | 7.10 | 7,063 | 0.0% |
| 2 | Word | 0.3588 | 1.282 | 2.30 | 9,558,817 | 64.1% |
| 2 | Subword | 0.7555 | 1.688 | 4.95 | 50,088 | 24.4% |
| 3 | Word | 0.1576 | 1.115 | 1.37 | 21,934,967 | 84.2% |
| 3 | Subword | 0.7799 | 1.717 | 4.37 | 247,611 | 22.0% |
| 4 | Word | 0.0660 🏆 | 1.047 | 1.12 | 29,902,129 | 93.4% |
| 4 | Subword | 0.7135 | 1.640 | 3.50 | 1,082,029 | 28.7% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
të energjisë siq është i konsideroi gjithashtu edhe pak të dhe republika bosna në të cilate shkelte në indi i cili ia doli si zëvendës trajner të clintonit më shumë zbulimenë maduranthakam chennai shqip të jashtme html kultura e liqenit të njëjtin vit 5 vezë nga
Context Size 2:
për të kuptuar fuqinë e fjalëve dhe shprehjeve të pastra ishin të lirë nuk është e pasurnë vitin si regjisor aktor dhe çmimin kombëtar azem shkreli shkrimtar shqiptarë akademik i tipit gjy...e tij hidrogjenin dhe squfuri nuk mund të jenë në gjendje të zhvendoste kryeqytetin e tyre los
Context Size 3:
lidhje të jashtme insee quinsonpër shkak të papunësisë është dukshëm negativ efekti i dytë që ra nga kategoria në nivel ndërkombëta...e tij të ardhshme ilenia betti më të cilën pati një djalë me nofkën candlewick i cili do
Context Size 4:
referime lidhje të jashtme profili tek chelseafc com profili tek goal com andrea ranocchia tek uefa ...është një komunë në spanjë e vendosur në qarkun alt urgell të provincës lleida në katalonia ponts ka...referimet lidhje të jashtme insee saint didier sur chalaronne është një komunë franceze e cila ndodh...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_2,_uamjë_nsisiae_dmurë,_prorndaisha_prare_j_pës
Context Size 2:
ë_mun)._fulë_lojëe_çdoi_nger_me_pu_njepsemejatë_lat
Context Size 3:
të_zbulloges_të_epnë_mundin_e_munim,_të_tij_ca._shtu_n
Context Size 4:
_të_pjesë_egjimi_që_në_qartësisht_për_dhe_filmin_e_fsk-së
Key Findings
- Best Predictability: Context-4 (word) with 93.4% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (1,082,029 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 445,748 |
| Total Tokens | 37,825,256 |
| Mean Frequency | 84.86 |
| Median Frequency | 4 |
| Frequency Std Dev | 5646.34 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | të | 2,156,535 |
| 2 | e | 1,823,346 |
| 3 | në | 1,592,899 |
| 4 | dhe | 973,190 |
| 5 | i | 901,212 |
| 6 | një | 639,479 |
| 7 | me | 483,719 |
| 8 | për | 456,456 |
| 9 | nga | 456,107 |
| 10 | është | 317,914 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | hofbräu | 2 |
| 2 | steckerlfisch | 2 |
| 3 | 0i | 2 |
| 4 | 0tendë | 2 |
| 5 | guglhupf | 2 |
| 6 | wildmoser | 2 |
| 7 | zynq | 2 |
| 8 | systemc | 2 |
| 9 | ogrenci | 2 |
| 10 | memik | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 0.9377 |
| R² (Goodness of Fit) | 0.997109 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 41.4% |
| Top 1,000 | 58.5% |
| Top 5,000 | 73.7% |
| Top 10,000 | 80.4% |
Key Findings
- Zipf Compliance: R²=0.9971 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 41.4% of corpus
- Long Tail: 435,748 words needed for remaining 19.6% 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 | 0.7903 🏆 | 0.3749 | N/A | N/A |
| mono_64d | 64 | 0.7310 | 0.2949 | N/A | N/A |
| mono_128d | 128 | 0.6419 | 0.2452 | N/A | N/A |
| aligned_32d | 32 | 0.7903 | 0.3890 | 0.2580 | 0.6680 |
| aligned_64d | 64 | 0.7310 | 0.2993 | 0.4940 | 0.8400 |
| aligned_128d | 128 | 0.6419 | 0.2548 | 0.6120 | 0.8980 |
Key Findings
- Best Isotropy: mono_32d with 0.7903 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3097. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 61.2% 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 | -0.661 | 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 |
|---|---|
-s |
stroheim, shestani, shenjtëoren |
-a |
audiovizualeve, aktroj, alsek |
-b |
bronislawa, bpmn, beige |
-ma |
matricën, matërialit, marie |
-m |
matricën, muskës, matërialit |
-k |
krille, kobuleti, kontemporane |
-p |
performuar, pile, protoshqipisht |
-d |
drogave, duanë, delk |
Productive Suffixes
| Suffix | Examples |
|---|---|
-e |
krille, rriteshe, craniate |
-t |
lincolnit, protoshqipisht, waset |
-n |
nderrohen, njomen, shenjtëoren |
-a |
bronislawa, sphyrna, pawaia |
-s |
gronovius, objectives, sphenophalos |
-i |
kobuleti, shestani, sendai |
-it |
lincolnit, nishanit, abdulbasit |
-in |
xhemin, korpusin, kukumin |
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 |
|---|---|---|---|
etit |
2.01x | 131 contexts | getit, letit, eetit |
itha |
2.18x | 66 contexts | sitha, ithac, pitha |
ioni |
1.65x | 233 contexts | pioni, rioni, ionic |
rish |
1.58x | 273 contexts | irish, rrish, prish |
ësis |
1.99x | 80 contexts | njësis, njësisë, malësis |
gjit |
1.81x | 118 contexts | gjith, ngjit, gjita |
itet |
1.68x | 129 contexts | pitet, mitet, hitet |
jith |
2.00x | 58 contexts | gjith, gjithi, gjitho |
rejt |
1.64x | 143 contexts | krejt, grejt, drejt |
htet |
1.95x | 64 contexts | shtet, shtetë, shteto |
ptar |
2.67x | 18 contexts | loptar, guptar, šiptar |
efer |
1.70x | 80 contexts | sefer, refer, nefer |
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 |
|---|---|---|---|
-p |
-e |
113 words | publicae, prokurorie |
-s |
-e |
98 words | sketerre, shokve |
-k |
-t |
89 words | konotacionet, kurtit |
-s |
-n |
86 words | sankirtan, seksizmin |
-p |
-t |
82 words | pleasant, pinet |
-p |
-n |
81 words | prathan, ponton |
-s |
-a |
76 words | soraya, shkreta |
-k |
-i |
74 words | klorifikimi, kopulimi |
-a |
-e |
72 words | akide, ayrshire |
-s |
-s |
70 words | sunexpress, saldues |
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 |
|---|---|---|---|
| asteriskët | asteris-k-ët |
7.5 | k |
| mbaheshin | mbahe-sh-in |
7.5 | sh |
| hugjenotë | hugjeno-t-ë |
7.5 | t |
| grassroots | grassroo-t-s |
7.5 | t |
| kalorësiakë | kalorësia-k-ë |
7.5 | k |
| kushëriren | kushëri-re-n |
7.5 | re |
| parameswara | paramesw-ar-a |
7.5 | ar |
| aliagatit | aliaga-t-it |
7.5 | t |
| koretisht | koreti-sh-t |
7.5 | sh |
| arimateas | arimate-a-s |
7.5 | a |
| firdeusin | firdeu-s-in |
7.5 | s |
| gjithëkund | gjithëku-n-d |
7.5 | n |
| producteurs | producteu-r-s |
7.5 | r |
| vetëvranë | vetëv-ra-në |
7.5 | ra |
| georgjane | georgja-n-e |
7.5 | n |
6.6 Linguistic Interpretation
Automated Insight: The language Albanian 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 (4.62x) |
| N-gram | 2-gram | Lowest perplexity (273) |
| Markov | Context-4 | Highest predictability (93.4%) |
| 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: 2026-01-11 00:57:18



















