Veps - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Veps 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 | 3.784x | 3.79 | 0.1125% | 645,106 |
| 16k | 4.095x | 4.10 | 0.1218% | 596,120 |
| 32k | 4.332x | 4.33 | 0.1288% | 563,614 |
| 64k | 4.518x π | 4.52 | 0.1344% | 540,326 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: 27 (kaks'kΓΌmne seiΔeme) om lugu 26 da 28 keskes. Lugun iΔendad Nece lugu om pala...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β 2 7 β( kaks ' kΓΌmne βseiΔeme ) βom ... (+26 more) |
36 |
| 16k | β 2 7 β( kaks ' kΓΌmne βseiΔeme ) βom ... (+25 more) |
35 |
| 32k | β 2 7 β( kaks ' kΓΌmne βseiΔeme ) βom ... (+25 more) |
35 |
| 64k | β 2 7 β( kaks ' kΓΌmne βseiΔeme ) βom ... (+25 more) |
35 |
Sample 2: Kahesan nellikon identiΕΎuz om matematine teorem. Avaidud K. F. Degenal vodes. Ka...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βkahes an βnellik on β iden t iΕΎuz βom βmatemat ... (+37 more) |
47 |
| 16k | βkahes an βnellik on β ident iΕΎuz βom βmatematine βteor ... (+33 more) |
43 |
| 32k | βkahesan βnellikon βident iΕΎuz βom βmatematine βteorem . βavaid ud ... (+22 more) |
32 |
| 64k | βkahesan βnellikon βidentiΕΎuz βom βmatematine βteorem . βavaid ud βk ... (+18 more) |
28 |
Sample 3: Lohj voib znamoita: Lohj vai Lohi i Atlantine lohi () β merikalan erik. Lohj (li...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βlo hj βvoib βznamoita : βlo hj βvai βl oh ... (+26 more) |
36 |
| 16k | βlo hj βvoib βznamoita : βlo hj βvai βloh i ... (+23 more) |
33 |
| 32k | βlohj βvoib βznamoita : βlohj βvai βlohi βi βatlantine βlohi ... (+17 more) |
27 |
| 64k | βlohj βvoib βznamoita : βlohj βvai βlohi βi βatlantine βlohi ... (+16 more) |
26 |
Key Findings
- Best Compression: 64k achieves 4.518x compression
- Lowest UNK Rate: 8k with 0.1125% 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 | 9,305 | 13.18 | 32,176 | 17.0% | 43.1% |
| 2-gram | Subword | 360 π | 8.49 | 4,522 | 60.7% | 98.4% |
| 3-gram | Word | 14,172 | 13.79 | 45,549 | 16.0% | 36.5% |
| 3-gram | Subword | 2,938 | 11.52 | 34,072 | 22.2% | 66.3% |
| 4-gram | Word | 24,360 | 14.57 | 72,845 | 13.6% | 30.1% |
| 4-gram | Subword | 13,690 | 13.74 | 168,706 | 12.0% | 39.2% |
| 5-gram | Word | 21,376 | 14.38 | 55,276 | 13.1% | 29.8% |
| 5-gram | Subword | 38,297 | 15.22 | 397,934 | 7.9% | 28.2% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | kirjamiΕ‘ton mΓΆdhe |
6,425 |
| 2 | se om |
3,506 |
| 3 | kaikiΕ‘ suremb |
3,269 |
| 4 | homaiΔendad irdkosketused |
3,121 |
| 5 | elΓ€jiden lugu |
2,616 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | elΓ€jiden lugu oli |
2,528 |
| 2 | lidnad kirjamiΕ‘ton mΓΆdhe |
2,134 |
| 3 | ΓΌ m t |
2,049 |
| 4 | geografijan andmused lidn |
1,951 |
| 5 | m ΓΌ m |
1,882 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | m ΓΌ m t |
1,882 |
| 2 | geografijan andmused lidn sijadase |
1,877 |
| 3 | lidnan elΓ€jiden lugu oli |
1,629 |
| 4 | m t keskmΓ€iΕΎel korktusel |
1,614 |
| 5 | ΓΌ m t keskmΓ€iΕΎel |
1,612 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ΓΌ m t keskmΓ€iΕΎel korktusel |
1,612 |
| 2 | m ΓΌ m t keskmΓ€iΕΎel |
1,511 |
| 3 | mΓΆdhe lidnan elΓ€jiden lugu oli |
1,282 |
| 4 | rahvahanlugemiΕΎen mΓΆdhe lidnan elΓ€jiden lugu |
1,273 |
| 5 | kaikiΕ‘ suremb lidnan ristitiΕ‘t oli |
1,071 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n _ |
297,019 |
| 2 | a n |
244,303 |
| 3 | e n |
184,024 |
| 4 | _ k |
155,498 |
| 5 | d _ |
147,840 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a n _ |
133,181 |
| 2 | e n _ |
96,007 |
| 3 | _ o m |
58,636 |
| 4 | a d _ |
55,725 |
| 5 | i ΕΎ e |
52,889 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | l i d n |
47,717 |
| 2 | _ o m _ |
46,550 |
| 3 | i d e n |
42,797 |
| 4 | d e n _ |
42,188 |
| 5 | _ l i d |
41,418 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ l i d n |
41,258 |
| 2 | i d e n _ |
34,753 |
| 3 | l i d n a |
30,577 |
| 4 | i ΕΎ e n _ |
20,063 |
| 5 | i d n a n |
17,767 |
Key Findings
- Best Perplexity: 2-gram (subword) with 360
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~28% 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 | 0.7343 | 1.664 | 4.81 | 160,489 | 26.6% |
| 1 | Subword | 0.9597 | 1.945 | 6.73 | 2,266 | 4.0% |
| 2 | Word | 0.1972 | 1.146 | 1.48 | 770,285 | 80.3% |
| 2 | Subword | 0.8508 | 1.803 | 5.03 | 15,247 | 14.9% |
| 3 | Word | 0.0801 | 1.057 | 1.16 | 1,135,116 | 92.0% |
| 3 | Subword | 0.7921 | 1.732 | 3.95 | 76,651 | 20.8% |
| 4 | Word | 0.0421 π | 1.030 | 1.08 | 1,309,508 | 95.8% |
| 4 | Subword | 0.6485 | 1.567 | 2.76 | 302,976 | 35.2% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
om 15 laiΕ‘evo ΕΎilo sai lidnan elΓ€jiden lugu oli kahesavoΔΔen prihaiΕΎen kazvatuz seniden soladusen ai...i saudud vll vspΓ€i lugendlehtez lΓ€htleb venΓ€ma eksportan 29 104 km kaikiΕ‘ korktemb Δokkoim om nΓΌgΓΌdvl kubink om kΓ€vutadud kirjutamha tailandan lebutahoihe homaiΔendad irdkosketused ΔelΓ€binskan agjan ...
Context Size 2:
kirjamiΕ‘ton mΓΆdhe agjan lidnad agjan lidnΓΌmbrikod administrativiΕΎ territorialiΕΎed vajehtused oliba v...se om kaikiΕ‘ varuliΕΎembiΕ‘pΓ€i mail mas om marganc hahktin cink vol fram raud nefrit i kalliΕΎarvoiΕΎed ...kaikiΕ‘ suremb lidnan ristitiΕ‘t oli 22 006 ristitud vn 332 529 elΓ€jad vl 39 490 elΓ€jad vl
Context Size 3:
elΓ€jiden lugu oli 43 888 ristitud lidnankundan 44 403 ristitud rajonan kaks koumandest kaik 47 608 r...ΓΌ m t keskmΓ€iΕΎel korktusel matkad alauz lidnhasai om 145 km pohjoiΕΎpΓ€ivnouzmha Ε‘tatan administrativi...geografijan andmused lidn sijadase valdkundan pohjoiΕΎes ΓΌmbrikon suvipΓ€ivlaskmas tel pΓ€lidnaspΓ€i sen...
Context Size 4:
m ΓΌ m t keskmΓ€iΕΎel korktusel matkad bakuhusai om 260 km pΓ€ivnouzmha manrehkaidusiden magnitud voib s...geografijan andmused lidn sijadase subjektan i rajonan suves slavΓ€nk jogen randoil nevan alangiΕ‘ton ...lidnan elΓ€jiden lugu oli 21 892 ristitud lidnΓΌmbrikon kaks koumandest vn lidnan ristitiΕ‘t oli 40 658...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_kvranΓΌ._id_nd_tasa_kedal,_pral.ikan_m_lΓΌz_liΕΎet
Context Size 2:
n_hem_pΓΆrktradimianduren_avlaiΕΎketenzime._(;_kollel
Context Size 3:
an_siba_nacii_β_kmen_sΓΌdΓ€ine_elΓ€jad__om_lidnad_(37_cΒ°.
Context Size 4:
lidnankundha_konstr_om_es-sanas_mΓ€riΔeiden)._radosΕ₯_Β«todi
Key Findings
- Best Predictability: Context-4 (word) with 95.8% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (302,976 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 61,069 |
| Total Tokens | 1,553,490 |
| Mean Frequency | 25.44 |
| Median Frequency | 4 |
| Frequency Std Dev | 313.94 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | om | 47,295 |
| 2 | i | 27,147 |
| 3 | vl | 16,533 |
| 4 | da | 16,000 |
| 5 | oli | 13,414 |
| 6 | lidnan | 13,013 |
| 7 | mΓΆdhe | 12,936 |
| 8 | oma | 11,373 |
| 9 | km | 10,458 |
| 10 | vn | 10,170 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | jonne | 2 |
| 2 | jΓ€rvelΓ€ | 2 |
| 3 | hunka | 2 |
| 4 | lunka | 2 |
| 5 | idja | 2 |
| 6 | sundin | 2 |
| 7 | jivarp | 2 |
| 8 | broiler | 2 |
| 9 | skydancer | 2 |
| 10 | projector | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.0886 |
| RΒ² (Goodness of Fit) | 0.994487 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 31.7% |
| Top 1,000 | 61.3% |
| Top 5,000 | 79.7% |
| Top 10,000 | 86.3% |
Key Findings
- Zipf Compliance: RΒ²=0.9945 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 31.7% of corpus
- Long Tail: 51,069 words needed for remaining 13.7% 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 | 0.8646 | 0.3534 | N/A | N/A |
| mono_64d | 64 | 0.8357 | 0.2592 | N/A | N/A |
| mono_128d | 128 | 0.6335 | 0.2276 | N/A | N/A |
| aligned_32d | 32 | 0.8646 π | 0.3528 | 0.0300 | 0.2140 |
| aligned_64d | 64 | 0.8357 | 0.2584 | 0.0760 | 0.3180 |
| aligned_128d | 128 | 0.6335 | 0.2219 | 0.1360 | 0.4020 |
Key Findings
- Best Isotropy: aligned_32d with 0.8646 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.2789. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 13.6% 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 | 0.059 | 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 |
sekcii, solmuiktusenke, semnen |
-k |
kukazjΓ€rvespΓ€i, komin, kaksin |
-a |
avaros, arestantad, asha |
-p |
pasport, pohjoiΕΎkorejas, pirdoiden |
-m |
meΕΎdureΔenskan, manita, mifiΕΎen |
-ka |
kaksin, kazan, kacui |
-t |
talon, tehniΕΎel, tehmaha |
-ma |
manita, mas, maidho |
Productive Suffixes
| Suffix | Examples |
|---|---|
-n |
ruslan, instrumentan, meΕΎdureΔenskan |
-an |
ruslan, instrumentan, meΕΎdureΔenskan |
-en |
erineden, pirdoiden, semnen |
-d |
ecijad, hindid, hΓ€tkeliΕΎed |
-e |
burΕΎuazijale, solmuiktusenke, korenke |
-i |
kukazjΓ€rvespΓ€i, sekcii, vanajavezi |
-s |
fateras, barrios, rahanpΓΆrundas |
-ad |
ecijad, arestantad, deputatad |
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 |
|---|---|---|---|
oide |
2.21x | 104 contexts | oiden, goiden, toiden |
iΕΎed |
2.43x | 54 contexts | hiΕΎed, viΕΎed, piΕΎed |
ijan |
1.93x | 76 contexts | dijan, mijan, kijan |
ndan |
1.79x | 64 contexts | indan, andan, lΓΆndan |
iΕΎen |
1.63x | 86 contexts | liΕΎen, tiΕΎen, piΕΎen |
enda |
1.52x | 98 contexts | lenda, kendan, vendal |
aiΕΎe |
1.79x | 45 contexts | aiΕΎen, jaiΕΎed, jaiΕΎen |
tuse |
1.57x | 53 contexts | tusen, iΕ‘tuse, katusen |
iΕ‘to |
1.59x | 42 contexts | viΕ‘ton, puiΕ‘tol, eriΕ‘ton |
unda |
1.34x | 77 contexts | munda, kunda, sunday |
ndad |
1.72x | 24 contexts | andad, mΓΆndad, pindad |
isti |
1.58x | 32 contexts | kristi, ristit, kristin |
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 |
|---|---|---|---|
-k |
-n |
192 words | kingston, kolumbusan |
-s |
-n |
155 words | sirdanuziden, samiΕΎsarakon |
-m |
-n |
135 words | muziksΓ€dusen, menpΓ€tajan |
-p |
-n |
133 words | purendan, permiΕΎiden |
-k |
-d |
109 words | krizisad, kopijad |
-k |
-e |
104 words | kundoidenke, kirjamele |
-t |
-n |
96 words | tukiden, tehnikumpavlovon |
-p |
-d |
94 words | pÀühtnijad, pΓ€jΓ€rgvaliΔendad |
-a |
-n |
92 words | arvlahjoiden, adjektivoiden |
-m |
-d |
91 words | mΓ€rad, maksimumad |
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 |
|---|---|---|---|
| babuΕ‘kinan | babuΕ‘ki-n-an |
7.5 | n |
| udessΓΌndund | udessΓΌndu-n-d |
7.5 | n |
| amerikadme | amerikad-m-e |
7.5 | m |
| franklinan | frankli-n-an |
7.5 | n |
| lΓ€ΕΎundkodinno | lΓ€ΕΎundkodi-n-no |
7.5 | n |
| philippines | philippi-n-es |
7.5 | n |
| zaozΓΆrnii | zaozΓΆr-n-ii |
7.5 | n |
| argentinas | argenti-n-as |
7.5 | n |
| basseinha | bassei-n-ha |
7.5 | n |
| jΓΌridenke | jΓΌride-n-ke |
7.5 | n |
| jonohosai | jonoho-s-ai |
7.5 | s |
| ceremonii | ceremo-n-ii |
7.5 | n |
| mandarinad | mandari-n-ad |
7.5 | n |
| pautkinno | pautki-n-no |
7.5 | n |
| basseinan | bassei-n-an |
7.5 | n |
6.6 Linguistic Interpretation
Automated Insight: The language Veps 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 (4.52x) |
| N-gram | 2-gram | Lowest perplexity (360) |
| Markov | Context-4 | Highest predictability (95.8%) |
| 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 02:50:54



















