Uzbek - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Uzbek Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.
π 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 | 3.671x | 3.67 | 0.0852% | 1,947,309 |
| 16k | 4.048x | 4.05 | 0.0940% | 1,765,944 |
| 32k | 4.351x | 4.35 | 0.1010% | 1,642,973 |
| 64k | 4.579x π | 4.58 | 0.1063% | 1,561,057 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: β Braziliyaning Alagoas shtatidagi munisipalitet. Manbalar munitsipalitetlari
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ββ βbraziliyaning βala go as βshtatidagi βmunisipalitet . βmanbalar βmunitsipalitet ... (+1 more) |
11 |
| 16k | ββ βbraziliyaning βala go as βshtatidagi βmunisipalitet . βmanbalar βmunitsipalitet ... (+1 more) |
11 |
| 32k | ββ βbraziliyaning βala go as βshtatidagi βmunisipalitet . βmanbalar βmunitsipalitet ... (+1 more) |
11 |
| 64k | ββ βbraziliyaning βalagoas βshtatidagi βmunisipalitet . βmanbalar βmunitsipalitet lari |
9 |
Sample 2: Boztarla β AdΔ±yaman viloyatining KΓ’hta tumanidagi qishloqlardan biri. Manbalar b...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βboz tar la ββ βad Δ± y aman βviloyatining βk ... (+14 more) |
24 |
| 16k | βboz tar la ββ βadΔ±yaman βviloyatining βk Γ’ h ta ... (+11 more) |
21 |
| 32k | βboz tar la ββ βadΔ±yaman βviloyatining βk Γ’ hta βtumanidagi ... (+10 more) |
20 |
| 64k | βboz tar la ββ βadΔ±yaman βviloyatining βkΓ’hta βtumanidagi βqishloqlardan βbiri ... (+8 more) |
18 |
Sample 3: β Braziliyaning Para shtatidagi munitsipalitet. Manbalar munitsipalitetlari
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ββ βbraziliyaning βpara βshtatidagi βmunitsipalitet . βmanbalar βmunitsipalitet lari |
9 |
| 16k | ββ βbraziliyaning βpara βshtatidagi βmunitsipalitet . βmanbalar βmunitsipalitet lari |
9 |
| 32k | ββ βbraziliyaning βpara βshtatidagi βmunitsipalitet . βmanbalar βmunitsipalitet lari |
9 |
| 64k | ββ βbraziliyaning βpara βshtatidagi βmunitsipalitet . βmanbalar βmunitsipalitet lari |
9 |
Key Findings
- Best Compression: 64k achieves 4.579x compression
- Lowest UNK Rate: 8k with 0.0852% 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 | 144,258 | 17.14 | 1,000,611 | 8.6% | 21.5% |
| 2-gram | Subword | 306 π | 8.26 | 17,282 | 64.7% | 98.6% |
| 3-gram | Word | 209,904 | 17.68 | 1,395,449 | 10.7% | 21.4% |
| 3-gram | Subword | 2,739 | 11.42 | 139,644 | 25.4% | 67.7% |
| 4-gram | Word | 290,405 | 18.15 | 2,129,240 | 11.2% | 22.1% |
| 4-gram | Subword | 15,565 | 13.93 | 811,800 | 12.4% | 38.1% |
| 5-gram | Word | 184,509 | 17.49 | 1,485,957 | 12.3% | 25.0% |
| 5-gram | Subword | 58,859 | 15.84 | 2,792,057 | 7.1% | 25.1% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | aholi punktlari |
133,471 |
| 2 | boΚ»yicha aholi |
102,687 |
| 3 | tarkibiga kiradi |
71,231 |
| 4 | istiqomat qiladi |
66,979 |
| 5 | aholi istiqomat |
65,487 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | boΚ»yicha aholi punktlari |
102,646 |
| 2 | nafar aholi istiqomat |
64,709 |
| 3 | aholi istiqomat qiladi |
62,946 |
| 4 | aholi punktlari shaharlari |
55,710 |
| 5 | manbalar boΚ»yicha aholi |
44,383 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | nafar aholi istiqomat qiladi |
62,574 |
| 2 | boΚ»yicha aholi punktlari shaharlari |
55,662 |
| 3 | manbalar boΚ»yicha aholi punktlari |
44,383 |
| 4 | yangi umumiy katalog asl |
32,515 |
| 5 | umumiy katalog asl nashrida |
32,515 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | manbalar boΚ»yicha aholi punktlari shaharlari |
33,698 |
| 2 | yangi umumiy katalog asl nashrida |
32,515 |
| 3 | aholi zichligi har kvadrat kilometrga |
30,929 |
| 4 | nafar aholi istiqomat qiladi aholi |
30,451 |
| 5 | aholi istiqomat qiladi aholi zichligi |
30,448 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ |
8,473,406 |
| 2 | i _ |
8,057,286 |
| 3 | a r |
7,652,474 |
| 4 | l a |
7,619,051 |
| 5 | a n |
7,333,858 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | l a r |
4,022,470 |
| 2 | a n _ |
2,638,804 |
| 3 | d a _ |
2,516,594 |
| 4 | i d a |
2,211,006 |
| 5 | g a n |
2,200,072 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n i n g |
1,559,456 |
| 2 | i n g _ |
1,556,517 |
| 3 | l a r i |
1,513,348 |
| 4 | l a r _ |
1,478,041 |
| 5 | i d a _ |
1,328,422 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n i n g _ |
1,484,174 |
| 2 | l a r i _ |
771,549 |
| 3 | g a n . _ |
672,707 |
| 4 | d a g i _ |
557,890 |
| 5 | a d i . _ |
529,582 |
Key Findings
- Best Perplexity: 2-gram (subword) with 306
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~25% 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 | 0.8649 | 1.821 | 9.91 | 1,734,204 | 13.5% |
| 1 | Subword | 1.1817 | 2.268 | 7.66 | 9,225 | 0.0% |
| 2 | Word | 0.3006 | 1.232 | 1.88 | 17,159,887 | 69.9% |
| 2 | Subword | 0.6573 | 1.577 | 4.58 | 70,636 | 34.3% |
| 3 | Word | 0.1029 | 1.074 | 1.20 | 32,224,146 | 89.7% |
| 3 | Subword | 0.7355 | 1.665 | 4.35 | 323,343 | 26.4% |
| 4 | Word | 0.0379 π | 1.027 | 1.06 | 38,723,206 | 96.2% |
| 4 | Subword | 0.7076 | 1.633 | 3.60 | 1,405,500 | 29.2% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
va pele vafoti muhammad stadioni 1 b neilson denyse julien prΓ¨s de antropologΓa e 5 danbilan jamoaviy koΚ»rgazmalarini oΚ»tkazgan faqat tana aΚΌzosi boΚ»lgan juftlik bahslarida chempion boΚ»lg...u oΚ»zining isteΚΌdodlar va viruslar qoΚ»zgΚ»atadigan yuqumli dasturlar bbc worldwide goΚ»zallik iffat qu...
Context Size 2:
boΚ»yicha aholi punktlari shaharlari shaharlar ipak yoΚ»li yaqinida joylashgan lawang kidul masjidi us...aholi punktlari shaharlari tashkil etilgan u mexanika boΚ»yicha mutaxassis avval amerikada keyin ahol...tarkibiga kiradi aholisi 779 nafarga yetadi o ni qoΚ»shilishi bilan stansiya ichidan uning sirtiga ch...
Context Size 3:
boΚ»yicha aholi punktlari shaharlari metropolitan hududlarinafar aholi istiqomat qiladi aholi zichligi har kvadrat kilometrga 20 7 nafar kishi geografiyasi may...aholi istiqomat qiladi aholi zichligi har kvadrat kilometrga 20 8 nafar kishi geografiyasi maydoni 3...
Context Size 4:
nafar aholi istiqomat qiladi geografiyasi hududi ramslaning hududi kmdir dengiz sathidan oΚ»rtacha m ...manbalar boΚ»yicha aholi punktlari shaharlari shaharlari shaharlaryangi umumiy katalog asl nashrida ngc 845 yangi umumiy katalog asl nashrida mavjud manbalar havolala...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_boshatoraskeyida_miladigβrir_ucini_pefartilafr_
Context Size 2:
a_younkty_fausta_i_1-1)_mena_oligalar_si_jahayratbo
Context Size 3:
lardan,_shundan_shan_edi._(_)_rivojlda_u_lood_(milgan_
Context Size 4:
ning_oΚ»rtacha_aholiing_asosiyon)_stadilar_va_federn_klubi
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 (1,405,500 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 722,817 |
| Total Tokens | 48,635,987 |
| Mean Frequency | 67.29 |
| Median Frequency | 4 |
| Frequency Std Dev | 1990.25 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | va | 1,184,048 |
| 2 | bilan | 369,678 |
| 3 | u | 280,225 |
| 4 | manbalar | 272,147 |
| 5 | aholi | 258,250 |
| 6 | uchun | 237,429 |
| 7 | joylashgan | 206,009 |
| 8 | 1 | 194,151 |
| 9 | boΚ»yicha | 181,987 |
| 10 | boΚ»lgan | 170,867 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | eversleigh | 2 |
| 2 | bundlening | 2 |
| 3 | thesigerning | 2 |
| 4 | haggleton | 2 |
| 5 | domli | 2 |
| 6 | xatibani | 2 |
| 7 | katakumite | 2 |
| 8 | apistomorpha | 2 |
| 9 | colucci | 2 |
| 10 | guerrio | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.0071 |
| RΒ² (Goodness of Fit) | 0.991725 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 21.2% |
| Top 1,000 | 48.2% |
| Top 5,000 | 67.9% |
| Top 10,000 | 75.6% |
Key Findings
- Zipf Compliance: RΒ²=0.9917 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 21.2% of corpus
- Long Tail: 712,817 words needed for remaining 24.4% 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 | 0.7694 π | 0.3417 | N/A | N/A |
| mono_64d | 64 | 0.7319 | 0.2924 | N/A | N/A |
| mono_128d | 128 | 0.6469 | 0.2679 | N/A | N/A |
| aligned_32d | 32 | 0.7694 | 0.3486 | 0.2540 | 0.6100 |
| aligned_64d | 64 | 0.7319 | 0.3022 | 0.3600 | 0.7600 |
| aligned_128d | 128 | 0.6469 | 0.2627 | 0.5040 | 0.8100 |
Key Findings
- Best Isotropy: mono_32d with 0.7694 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3026. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 50.4% 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 | -0.006 | 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 |
aminofenollar, alimkul, ashtarxoniylardan |
-s |
stolyarov, signalnaya, sovutish |
-ma |
macewan, matodir, majduddin |
-m |
munosabatlaridir, macewan, matodir |
-k |
konseysao, kuzatuvdagi, kello |
-b |
boqiya, boatengning, bacsinszky |
-t |
triangulorum, tarantelloyoΚ»lboshlovchi, totning |
-ba |
bacsinszky, barbaraΚΌ, baholangan |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
signalnaya, uncda, boqiya |
-i |
ruhiyati, oΚ»rtogΚ»ini, semizligi |
-ng |
sashaning, boatengning, garmonning |
-g |
sashaning, boatengning, garmonning |
-n |
gΚ»ishtin, zararsizlantiriladigan, macewan |
-an |
zararsizlantiriladigan, macewan, lushan |
-ni |
oΚ»rtogΚ»ini, shlezvigni, hitini |
-ga |
umidga, diskiga, yupiterga |
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 |
|---|---|---|---|
rnin |
2.47x | 350 contexts | rnini, rning, barnin |
inin |
2.05x | 623 contexts | minin, inini, zinin |
anin |
1.72x | 759 contexts | ganin, yanin, manin |
oΚ»lg |
2.47x | 58 contexts | koΚ»lga, qoΚ»lga, oΚ»lgan |
Κ»lga |
2.36x | 68 contexts | koΚ»lga, qoΚ»lga, oΚ»lgan |
idag |
1.82x | 211 contexts | idagi, idaga, ridagi |
hlar |
1.64x | 291 contexts | shlar, ihlar, shlari |
manb |
2.30x | 44 contexts | manba, manbam, 3manba |
hgan |
1.83x | 113 contexts | shgan, chgan, shgani |
nbal |
2.39x | 35 contexts | inbal, manbal, nbalar |
ilad |
1.59x | 198 contexts | gilad, iladi, bilad |
oyla |
1.80x | 101 contexts | joyla, oylar, koyla |
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 |
145 words | semiusta, sammitlarda |
-t |
-a |
115 words | tritonda, torgovlya |
-k |
-a |
105 words | konka, kalva |
-b |
-a |
100 words | beldumgΚ»aza, ballantiophora |
-s |
-i |
100 words | samkni, stantsiyalaridagi |
-k |
-i |
97 words | karetkasi, kriminalistikasi |
-a |
-a |
97 words | akvabogΚ»da, ahvazga |
-t |
-i |
96 words | tayinlandiyangi, tayinlamadi |
-s |
-n |
85 words | shohmuroddan, slain |
-b |
-i |
84 words | bukowski, butasi |
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 |
|---|---|---|---|
| spidometriga | spidometr-i-ga |
7.5 | i |
| synesthesia | synesthes-i-a |
7.5 | i |
| kavaleriyada | kavaleriy-a-da |
7.5 | a |
| tesaliyadagi | tesaliya-da-gi |
7.5 | da |
| dogΚ»istondagi | dogΚ»iston-da-gi |
7.5 | da |
| oilalarda | oilal-ar-da |
7.5 | ar |
| kamroqdir | kamroqd-i-r |
7.5 | i |
| anguilladagi | anguilla-da-gi |
7.5 | da |
| qashgΚ»ariya | qashgΚ»ar-i-ya |
7.5 | i |
| aggressiv | aggress-i-v |
7.5 | i |
| oshirishlariga | oshirishlar-i-ga |
7.5 | i |
| hempcrete | hempcre-t-e |
7.5 | t |
| misolidir | misolid-i-r |
7.5 | i |
| oΚ»zgarishlarini | oΚ»zgarishlar-i-ni |
7.5 | i |
| raqobatchini | raqobatch-i-ni |
7.5 | i |
6.6 Linguistic Interpretation
Automated Insight: The language Uzbek 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 (4.58x) |
| N-gram | 2-gram | Lowest perplexity (306) |
| 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) Γ 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.
RΒ² (Coefficient of Determination)
Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
Intuition: RΒ² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
What to seek: RΒ² > 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
- π Website: wikilangs.org
- π€ Models: huggingface.co/wikilangs
- π Data: wikipedia-monthly
- π€ Author: Omar Kamali
- π€ Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-11 07:14:31



















