Vietnamese - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Vietnamese 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 | 3.647x | 3.65 | 0.1376% | 4,322,437 |
| 16k | 3.775x | 3.77 | 0.1424% | 4,176,769 |
| 32k | 3.851x | 3.85 | 0.1453% | 4,093,428 |
| 64k | 3.900x π | 3.90 | 0.1471% | 4,042,743 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Siphona scutellata lΓ mα»t loΓ i ruα»i trong hα» Tachinidae. ChΓΊ thΓch LiΓͺn kαΊΏt ngoΓ ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βsi ph ona βsc ut ell ata βlΓ βmα»t βloΓ i ... (+12 more) |
22 |
| 16k | βsi ph ona βscut ellata βlΓ βmα»t βloΓ i βruα»i βtrong ... (+9 more) |
19 |
| 32k | βsi ph ona βscut ellata βlΓ βmα»t βloΓ i βruα»i βtrong ... (+9 more) |
19 |
| 64k | βsiph ona βscutellata βlΓ βmα»t βloΓ i βruα»i βtrong βhα» βtach ... (+7 more) |
17 |
Sample 2: Kocaali lΓ mα»t xΓ£ thuα»c huyα»n Ergani, tα»nh DiyarbakΔ±r, Thα» NhΔ© Kα»³. DΓ’n sα» thα»i Δ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βk oc a ali βlΓ βmα»t βxΓ£ βthuα»c βhuyα»n βer ... (+31 more) |
41 |
| 16k | βk oca ali βlΓ βmα»t βxΓ£ βthuα»c βhuyα»n βer g ... (+29 more) |
39 |
| 32k | βk oca ali βlΓ βmα»t βxΓ£ βthuα»c βhuyα»n βer g ... (+28 more) |
38 |
| 64k | βk oca ali βlΓ βmα»t βxΓ£ βthuα»c βhuyα»n βerg ani ... (+24 more) |
34 |
Sample 3: Glipidiomorpha riesei lΓ mα»t loΓ i bα» cΓ‘nh cα»©ng trong hα» Mordellidae. LoΓ i nΓ y ΔΖ°...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βgl ip idi omorpha βr ies ei βlΓ βmα»t βloΓ i ... (+24 more) |
34 |
| 16k | βgl ip idi omorpha βr ies ei βlΓ βmα»t βloΓ i ... (+24 more) |
34 |
| 32k | βgl ip idi omorpha βries ei βlΓ βmα»t βloΓ i βbα» ... (+21 more) |
31 |
| 64k | βgl ip idi omorpha βriesei βlΓ βmα»t βloΓ i βbα» βcΓ‘nh ... (+19 more) |
29 |
Key Findings
- Best Compression: 64k achieves 3.900x compression
- Lowest UNK Rate: 8k with 0.1376% 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 | 106,320 | 16.70 | 2,695,824 | 10.1% | 25.1% |
| 2-gram | Subword | 409 π | 8.67 | 93,876 | 59.2% | 96.0% |
| 3-gram | Word | 890,077 | 19.76 | 9,913,320 | 6.8% | 13.5% |
| 3-gram | Subword | 2,984 | 11.54 | 411,919 | 25.5% | 66.3% |
| 4-gram | Word | 2,796,979 | 21.42 | 22,248,727 | 6.3% | 11.5% |
| 4-gram | Subword | 16,513 | 14.01 | 1,959,172 | 13.3% | 41.5% |
| 5-gram | Word | 2,571,700 | 21.29 | 19,242,355 | 7.4% | 13.5% |
| 5-gram | Subword | 69,615 | 16.09 | 6,377,982 | 8.7% | 27.1% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | lΓ mα»t |
1,495,225 |
| 2 | chΓΊ thΓch |
852,707 |
| 3 | tham khαΊ£o |
804,096 |
| 4 | mα»t loΓ i |
728,551 |
| 5 | trong hα» |
711,111 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | lΓ mα»t loΓ i |
722,924 |
| 2 | liΓͺn kαΊΏt ngoΓ i |
620,713 |
| 3 | loΓ i nΓ y Δược |
453,066 |
| 4 | chΓΊ thΓch liΓͺn |
440,159 |
| 5 | thΓch liΓͺn kαΊΏt |
440,150 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | chΓΊ thΓch liΓͺn kαΊΏt |
440,133 |
| 2 | thΓch liΓͺn kαΊΏt ngoΓ i |
439,810 |
| 3 | Δược mΓ΄ tαΊ£ nΔm |
384,043 |
| 4 | chΓΊ thΓch tham khαΊ£o |
365,017 |
| 5 | vαΊt Δược mΓ΄ tαΊ£ |
363,438 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | chΓΊ thΓch liΓͺn kαΊΏt ngoΓ i |
439,801 |
| 2 | vαΊt Δược mΓ΄ tαΊ£ nΔm |
363,377 |
| 3 | tαΊ£ khoa hα»c ΔαΊ§u tiΓͺn |
335,608 |
| 4 | khoa hα»c ΔαΊ§u tiΓͺn nΔm |
309,398 |
| 5 | ΔαΊ§u tiΓͺn nΔm chΓΊ thΓch |
263,309 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ t |
44,618,705 |
| 2 | n g |
36,466,380 |
| 3 | _ c |
30,008,094 |
| 4 | n _ |
29,116,380 |
| 5 | g _ |
27,402,011 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n g _ |
27,209,259 |
| 2 | _ t h |
17,092,068 |
| 3 | _ t r |
10,431,331 |
| 4 | _ c h |
9,946,202 |
| 5 | n h _ |
9,905,520 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n g _ t |
4,408,233 |
| 2 | _ v Γ _ |
3,874,748 |
| 3 | _ l Γ _ |
3,858,257 |
| 4 | c α»§ a _ |
3,768,746 |
| 5 | _ c α»§ a |
3,768,226 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ c α»§ a _ |
3,765,562 |
| 2 | _ Δ Ζ° ợ c |
3,314,830 |
| 3 | Δ Ζ° ợ c _ |
3,299,257 |
| 4 | _ m α» t _ |
3,246,287 |
| 5 | _ n Δ m _ |
3,101,391 |
Key Findings
- Best Perplexity: 2-gram (subword) with 409
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~27% 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 | 0.7563 | 1.689 | 9.23 | 2,640,968 | 24.4% |
| 1 | Subword | 1.2157 | 2.323 | 15.79 | 34,963 | 0.0% |
| 2 | Word | 0.4386 | 1.355 | 3.10 | 24,350,395 | 56.1% |
| 2 | Subword | 0.5203 | 1.434 | 3.02 | 551,811 | 48.0% |
| 3 | Word | 0.2736 | 1.209 | 1.81 | 75,436,653 | 72.6% |
| 3 | Subword | 0.4089 | 1.328 | 2.69 | 1,667,382 | 59.1% |
| 4 | Word | 0.1518 π | 1.111 | 1.33 | 136,713,102 | 84.8% |
| 4 | Subword | 0.4863 | 1.401 | 2.89 | 4,478,768 | 51.4% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
lΓ tα»ng thα»ng nhΖ° ΔΖ°α»ng sαΊ―t bαΊ―c iwate grulla morioka thα»ng shad striper rượt Δuα»i theovΓ lavrov ΔΓ£ Δi hαΊΏt cΓ‘c xΖ‘ cα»©ng trong hiα»p hΓ²a thαΊ£o loΓ i khΓ‘c biα»t hiα»ucα»§a mΓ¬nh mang tΓͺn ΔΓ n ΔαΊ‘o Δα»n mα»t mαΊ‘ng nicaragua 3 nΔm vαΊt hoang mαΊ‘c thiΓͺn
Context Size 2:
lΓ mα»t loΓ i hymenoptera trong hα» noctuidae chΓΊ thΓch tham khαΊ£o bay kazakhstan khΓ΄ng tΓ¬m thαΊ₯y tαΊ‘ichΓΊ thΓch liΓͺn kαΊΏt ngoΓ i vαΊt Δược mΓ΄ tαΊ£ nΔm vαΊt bolivia vαΊt brasil vαΊt colombia vαΊtmα»t loΓ i bΖ°α»m ΔΓͺm trong hα» cα»u lΓ½ hΖ°Ζ‘ng loΓ i boswellia trong tΓ΄n giΓ‘o nΓ o giΓ‘o dα»₯c
Context Size 3:
lΓ mα»t loΓ i bα» cΓ‘nh cα»©ng trong hα» melandryidae loΓ i nΓ y Δược werderm mΓ΄ tαΊ£ khoa hα»c nΔmliΓͺn kαΊΏt ngoΓ i c vαΊt Δược mΓ΄ tαΊ£ nΔm es hemianemia eximialoΓ i nΓ y Δược baker labat schatz mΓ΄ tαΊ£ khoa hα»c ΔαΊ§u tiΓͺn nΔm chΓΊ thΓch tham khαΊ£o vαΊt
Context Size 4:
chΓΊ thΓch liΓͺn kαΊΏt ngoΓ i vαΊt Δược mΓ΄ tαΊ£ nΔm vαΊt ΔαΊ·c hα»―u ΔΓ i loan ΔΓ i loan thuα»c nhαΊtvαΊt Δược mΓ΄ tαΊ£ nΔm vαΊt ΔαΊ·c hα»―u trung quα»c kim lΕ© mai tai hΓΉm ΔΖ‘n loΓ i vαΊt Δượckhoa hα»c ΔαΊ§u tiΓͺn nΔm chΓΊ thΓch liΓͺn kαΊΏt ngoΓ i vαΊt Δược mΓ΄ tαΊ£ nΔm ΔΓͺm indonesia ΔΓͺm philippines
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_lef_19_kα»³.wanhen_terΓ¬ng_ΔΓ£_phα»§_h_"_ayroarα»cΓ‘_m_
Context Size 2:
_thuα»sα»_ΔΓ£_vαΊ₯n_vΓΉng_thuα»c_nhα»u_ΔαΊ§u_cα»§a_nh_sΓ‘c_prit_
Context Size 3:
ng_ΔΓ£_bα»_bα»nh_lαΊ‘i__thαΊ―ng_cα»§a_hampus__trang_3_joon,_nhα»―
Context Size 4:
ng_tΔng_Γ‘nh_quyαΊΏt_c_vΓ _nhα»―ng_cΓ³_mα»t_cαΊ§_lΓ _volume_shop,_tΓ’
Key Findings
- Best Predictability: Context-4 (word) with 84.8% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (4,478,768 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 1,088,012 |
| Total Tokens | 275,589,508 |
| Mean Frequency | 253.30 |
| Median Frequency | 4 |
| Frequency Std Dev | 12931.56 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | lΓ | 3,896,221 |
| 2 | vΓ | 3,888,002 |
| 3 | cα»§a | 3,770,649 |
| 4 | nΔm | 3,541,374 |
| 5 | Δược | 3,324,385 |
| 6 | mα»t | 3,283,880 |
| 7 | trong | 2,847,858 |
| 8 | cΓ³ | 2,266,526 |
| 9 | cΓ‘c | 2,260,160 |
| 10 | ngΖ°α»i | 1,505,528 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | bΓchhαΊ‘nh | 2 |
| 2 | dΓ’uliΓͺn | 2 |
| 3 | lα»₯anguyα» n | 2 |
| 4 | zeltiq | 2 |
| 5 | cΓ΄tobin | 2 |
| 6 | novitskiy | 2 |
| 7 | tarelkin | 2 |
| 8 | ι½ε | 2 |
| 9 | zhΔitΓ‘ng | 2 |
| 10 | chatral | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.5197 |
| RΒ² (Goodness of Fit) | 0.977671 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 35.9% |
| Top 1,000 | 79.0% |
| Top 5,000 | 91.3% |
| Top 10,000 | 93.6% |
Key Findings
- Zipf Compliance: RΒ²=0.9777 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 35.9% of corpus
- Long Tail: 1,078,012 words needed for remaining 6.4% 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 | 0.8322 | 0.4208 | N/A | N/A |
| mono_64d | 64 | 0.8116 | 0.3302 | N/A | N/A |
| mono_128d | 128 | 0.7892 | 0.2753 | N/A | N/A |
| aligned_32d | 32 | 0.8322 π | 0.4041 | 0.4880 | 0.8640 |
| aligned_64d | 64 | 0.8116 | 0.3384 | 0.7280 | 0.9680 |
| aligned_128d | 128 | 0.7892 | 0.2727 | 0.8360 | 0.9820 |
Key Findings
- Best Isotropy: aligned_32d with 0.8322 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3403. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 83.6% 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 | -0.502 | 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 |
sinothomisus, sportowe, sprogΓΈe |
-t |
thα»vΓ ng, trilion, thΓ‘itΓ΄ |
-a |
amorΓn, aerolindigia, awardchoice |
-m |
minhphαΊ‘m, mα»imtvca, mutungi |
-c |
coccomelia, clacton, clatratum |
-b |
batmagnai, bejt, balep |
-k |
karepura, kα»³triα»u, kronthaler |
-ma |
marovt, mayran, marghanna |
Productive Suffixes
| Suffix | Examples |
|---|---|
-s |
sinothomisus, orestes, trochanteralis |
-a |
coccomelia, karepura, nuichua |
-e |
pilosellae, orΓ©e, sportowe |
-n |
oreodendron, gaggabutan, clacton |
-is |
trochanteralis, neoconis, mononalis |
-i |
batmagnai, weinmanntΓ‘i, eesi |
-us |
sinothomisus, brimidius, eudelus |
-es |
orestes, pseudaspilates, wingates |
6.3 Bound Stems (Lexical Roots)
Bound stems are high-frequency subword units that are semantically cohesive but rarely appear as standalone words. These often correspond to the 'core' of a word that requires inflection or derivation to be valid.
| Stem | Cohesion | Substitutability | Examples |
|---|---|---|---|
atio |
2.64x | 168 contexts | tatio, natio, fatio |
opte |
2.62x | 135 contexts | opted, opter, copte |
nter |
2.01x | 355 contexts | enter, inter, unter |
trΖ°α» |
2.86x | 60 contexts | trΖ°α»n, trΖ°α»nΙ‘, trΖ°α»ng |
tΖ°α»n |
2.93x | 45 contexts | tΖ°α»ng, tΖ°α»ngm, 4tΖ°α»ng |
pter |
2.21x | 106 contexts | ptero, opter, apter |
ceae |
3.35x | 20 contexts | aceae, ficeae, biceae |
rΖ°α»n |
2.86x | 32 contexts | trΖ°α»n, rΖ°α»ng, trΖ°α»nΙ‘ |
huyα» |
1.59x | 353 contexts | huyα»t, huyα»n, chuyα» |
nhiα» |
2.15x | 75 contexts | nhiα»n, nhiα»y, nhiα»m |
uyα»
n |
2.16x | 59 contexts | quyα» n, duyα» n, nuyα» n |
huyα» |
2.06x | 28 contexts | chuyα», huyα»n, thuyα»t |
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 |
-a |
126 words | pnmburucuya, praeangulata |
-p |
-s |
122 words | pedicellatus, polyotis |
-c |
-s |
116 words | cicindeloides, constrictiflorus |
-s |
-a |
108 words | sungka, serbica |
-c |
-a |
103 words | chensa, conardia |
-s |
-s |
103 words | sacodes, sulamitis |
-a |
-s |
99 words | ardys, airplanes |
-a |
-a |
90 words | akassa, attenuatella |
-m |
-s |
86 words | matles, moyennes |
-m |
-a |
78 words | meryta, mΔtaatua |
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 |
|---|---|---|---|
| tolarucan | tolaruc-a-n |
7.5 | a |
| kazusensis | kazusen-s-is |
7.5 | s |
| jΔgarΔbhivamsa | jΔgarΔbhivam-s-a |
7.5 | s |
| alagappapuram | alagappapur-a-m |
7.5 | a |
| krickenbach | krickenb-a-ch |
7.5 | a |
| speculaas | specu-la-as |
7.5 | la |
| namsskogan | namsskog-a-n |
7.5 | a |
| mΓΌndersbach | mΓΌndersb-a-ch |
7.5 | a |
| quadrisetosus | quadriseto-s-us |
7.5 | s |
| thαΊ―ngshonan | thαΊ―ngshon-a-n |
7.5 | a |
| atrivenata | atrive-na-ta |
7.5 | na |
| hochiensis | hochien-s-is |
7.5 | s |
| outermost | outermo-s-t |
7.5 | s |
| xuechengensis | xuechengen-s-is |
7.5 | s |
| mesypochrysa | mesypochry-s-a |
7.5 | s |
6.6 Linguistic Interpretation
Automated Insight: The language Vietnamese shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (3.90x) |
| N-gram | 2-gram | Lowest perplexity (409) |
| Markov | Context-4 | Highest predictability (84.8%) |
| 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: 2026-01-18 17:40:28



















