Inari Sami - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Inari Sami 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 | 3.409x | 3.41 | 0.2072% | 253,414 |
| 16k | 3.817x | 3.82 | 0.2320% | 226,314 |
| 32k | 4.186x | 4.19 | 0.2544% | 206,349 |
| 64k | 4.507x π | 4.51 | 0.2739% | 191,652 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: (MCCCXC) lΓ’i normaalihe, mii aalgij jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ kalender mield lΓ‘vurduv...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β( mccc xc ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 16k | β( mccc xc ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 32k | β( mccc xc ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 64k | β( mccc xc ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
Sample 2: (MDXLIII) lΓ’i normaalihe, mii aalgij jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ kalender mield vuossaa...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β( md x lii i ) βlΓ’i βnormaalihe , βmii ... (+18 more) |
28 |
| 16k | β( mdx liii ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 32k | β( mdx liii ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 64k | β( mdx liii ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
Sample 3: (MCCL) lΓ’i normaalihe, mii aalgij jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ kalender mield lΓ‘vurduv. ...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | β( mcc l ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 16k | β( mcc l ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 32k | β( mcc l ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
| 64k | β( mcc l ) βlΓ’i βnormaalihe , βmii βaalgij βjΓ‘ ... (+16 more) |
26 |
Key Findings
- Best Compression: 64k achieves 4.507x compression
- Lowest UNK Rate: 8k with 0.2072% 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 | 7,928 | 12.95 | 21,306 | 16.4% | 40.6% |
| 2-gram | Subword | 438 π | 8.78 | 3,597 | 52.7% | 98.5% |
| 3-gram | Word | 12,010 | 13.55 | 31,830 | 14.7% | 35.6% |
| 3-gram | Subword | 4,149 | 12.02 | 29,729 | 16.8% | 56.6% |
| 4-gram | Word | 25,724 | 14.65 | 62,360 | 10.1% | 27.6% |
| 4-gram | Subword | 21,915 | 14.42 | 158,183 | 9.5% | 30.7% |
| 5-gram | Word | 22,379 | 14.45 | 49,308 | 9.2% | 27.8% |
| 5-gram | Subword | 62,537 | 15.93 | 398,267 | 7.2% | 23.3% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | c g |
5,252 |
| 2 | eres soojijn |
3,088 |
| 3 | fÑÑdÑst eres |
3,076 |
| 4 | soojijn kΓ€ldeeh |
2,451 |
| 5 | kalender mield |
1,682 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | fÑÑdÑst eres soojijn |
3,076 |
| 2 | eres soojijn kΓ€ldeeh |
2,451 |
| 3 | ton vijΔodΓ’h lii |
890 |
| 4 | juliaanlΓ’Ε‘ kalender mield |
860 |
| 5 | peivimeeri ij tiΓ€Δust |
853 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | fÑÑdÑst eres soojijn kÀldeeh |
2,449 |
| 2 | tΓ€rhis peivimeeri ij tiΓ€Δust |
852 |
| 3 | normaalihe mii aalgij jΓ‘ |
638 |
| 4 | aalgij jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ |
638 |
| 5 | lΓ’i normaalihe mii aalgij |
638 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ kalender mield |
638 |
| 2 | lΓ’i normaalihe mii aalgij jΓ‘ |
638 |
| 3 | mii aalgij jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ |
638 |
| 4 | aalgij jΓ‘ nuuvΓ’i juliaanlΓ’Ε‘ kalender |
638 |
| 5 | normaalihe mii aalgij jΓ‘ nuuvΓ’i |
638 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | i _ |
96,176 |
| 2 | . _ |
92,482 |
| 3 | s t |
89,805 |
| 4 | _ k |
87,039 |
| 5 | , _ |
79,601 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | m Γ‘ Γ‘ |
37,873 |
| 2 | Γ‘ n u |
37,015 |
| 3 | Γ‘ Γ‘ n |
36,800 |
| 4 | n u _ |
33,090 |
| 5 | j Γ‘ _ |
29,034 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | m Γ‘ Γ‘ n |
36,631 |
| 2 | Γ‘ Γ‘ n u |
36,485 |
| 3 | Γ‘ n u _ |
32,803 |
| 4 | _ j Γ‘ _ |
27,818 |
| 5 | l i i _ |
17,588 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | m Γ‘ Γ‘ n u |
36,472 |
| 2 | Γ‘ Γ‘ n u _ |
32,800 |
| 3 | _ l i i _ |
16,341 |
| 4 | Γ’ m Γ‘ Γ‘ n |
14,304 |
| 5 | i m Γ‘ Γ‘ n |
12,187 |
Key Findings
- Best Perplexity: 2-gram (subword) with 438
- 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 | 0.6940 | 1.618 | 4.01 | 131,617 | 30.6% |
| 1 | Subword | 0.7277 | 1.656 | 5.59 | 1,828 | 27.2% |
| 2 | Word | 0.1805 | 1.133 | 1.39 | 526,458 | 82.0% |
| 2 | Subword | 0.8394 | 1.789 | 5.35 | 10,216 | 16.1% |
| 3 | Word | 0.0654 | 1.046 | 1.12 | 728,322 | 93.5% |
| 3 | Subword | 0.8706 | 1.828 | 4.46 | 54,674 | 12.9% |
| 4 | Word | 0.0361 π | 1.025 | 1.06 | 814,752 | 96.4% |
| 4 | Subword | 0.7207 | 1.648 | 2.98 | 243,936 | 27.9% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
jΓ‘ suu kÀÀlis mikko manner petteri niva Ε‘kovlΓ’ lΓ’i 1 2 ella kesimÑÑnu kesimÑÑnu 12 peivilii Ε‘oddΓ’m syemmilΓ’Ε‘ musikkΓ‘r jΓ€mimeh njuhΔΓ’mÑÑnu 25 peeivi guo wei kiinalaΕ‘ kiΓ€isΓ‘r iivij ΔyeΔeh ha...ive rÀÀjist fÑÑdΓ‘st eres soojijn the colour inside daisy strand stubbΓΆle torbacka tvΓ€ra vormΓΆ vΓ€ster...
Context Size 2:
c g mycetophila illita freeman c g leptochilus fuscipes gusenleitner c g polypedilum luteum forsyth ...eres soojijn kÀldeeh 3fÑÑdÑst eres soojijn nevala puoh kiőtoh kÀldeeh őoddÒmeh nisonij jyelgipÑllueennÒmjuÑvkku tÑppÑi taa...
Context Size 3:
fÑÑdΓ‘st eres soojijn kΓ€ldeeh Ε‘oddΓ’meh olmooΕ‘vuoigΓ’dvuotΓ’piΓ€luΕ‘teijeeh vyeitteeh vyeitteeheres soojijn kΓ€ldeeh ovdiih kieldah siijdahton vijΔodΓ’h lii 76 66 km jΓ‘ alodΓ’h 777 m arquata del tronto naaburkieldah lÑÑ accumoli acquasanta t...
Context Size 4:
fÑÑdΓ‘st eres soojijn kΓ€ldeeh 7tΓ€rhis peivimeeri ij tiΓ€Δust eennΓ’m tuΓ‘rgistij korrΓ’sΓ‘vt erzincanist tuurkist eennΓ’mtuΓ‘rgΓ‘stΓ’s inten...nuuvΓ’i juliaanlΓ’Ε‘ kalender mield lΓ‘vurduv tot lΓ’i kuuΔΓ’d ihe tΓ‘bΓ‘htusah kuovΓ’mÑÑnu kuovΓ’mÑÑnu 5 peei...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_pypovÒlimivuonÒiiastreroorÑÑvejenussazd_m_airir
Context Size 2:
i_19_58_ivi).saal._kij_yorsimÑid._stilÑÑstaal,_kuov
Context Size 3:
mÑÑnu_7._skylÀ_jamÑnu_vuotÒ_reenny_vÑÑnu_9._peeicinen,
Context Size 4:
mÑÑnu_22._ΔohΔΓ’mÑÑnÑÑnu_25._vyesimÑÑnuΓ‘nu_52_sÀÀnis_njΓ€lm
Key Findings
- Best Predictability: Context-4 (word) with 96.4% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (243,936 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 56,543 |
| Total Tokens | 980,163 |
| Mean Frequency | 17.33 |
| Median Frequency | 3 |
| Frequency Std Dev | 192.38 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | jΓ‘ | 27,834 |
| 2 | lii | 16,486 |
| 3 | ive | 10,270 |
| 4 | peeivi | 7,716 |
| 5 | the | 7,233 |
| 6 | lΓ’i | 7,177 |
| 7 | lÑÑ | 6,710 |
| 8 | kΓ€ldeeh | 6,475 |
| 9 | g | 5,865 |
| 10 | c | 5,828 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | kelemeny | 2 |
| 2 | animaatiorÑÑiΔuh | 2 |
| 3 | Γ‘mΓ‘tteh | 2 |
| 4 | geΓ€vrrie | 2 |
| 5 | smiths | 2 |
| 6 | ringettest | 2 |
| 7 | moolΓ’vaavtΓ’in | 2 |
| 8 | gloucester | 2 |
| 9 | nuorttΓ’juΓ‘vkku | 2 |
| 10 | lovoiguin | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 0.9814 |
| RΒ² (Goodness of Fit) | 0.998205 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 30.6% |
| Top 1,000 | 56.7% |
| Top 5,000 | 74.6% |
| Top 10,000 | 82.5% |
Key Findings
- Zipf Compliance: RΒ²=0.9982 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 30.6% of corpus
- Long Tail: 46,543 words needed for remaining 17.5% 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 | 0.8392 | 0.3414 | N/A | N/A |
| mono_64d | 64 | 0.6621 | 0.2951 | N/A | N/A |
| mono_128d | 128 | 0.2154 | 0.2973 | N/A | N/A |
| aligned_32d | 32 | 0.8392 π | 0.3374 | 0.0360 | 0.2520 |
| aligned_64d | 64 | 0.6621 | 0.3047 | 0.0580 | 0.3280 |
| aligned_128d | 128 | 0.2154 | 0.2807 | 0.0940 | 0.3760 |
Key Findings
- Best Isotropy: aligned_32d with 0.8392 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3094. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 9.4% 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 | 0.195 | 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 |
saksofonist, soldiers, studente |
-k |
kajanΓ’n, kirjetΓ‘rukielΓ’n, kirvesmies |
-t |
tac, treat, tena |
-p |
persialuovtΓ’, petri, puovttijn |
-m |
myeongjong, mΓ‘inusist, manchester |
-a |
attenuata, argonaut, acme |
-l |
longobardlΓ’Ε‘, luΓ‘ndutile, lista |
-r |
roovvÒdmÑÑnu, ruttÒdemeennÒm, ruttÒdmist |
Productive Suffixes
| Suffix | Examples |
|---|---|
-n |
kajanΓ’n, puovttijn, kirjetΓ‘rukielΓ’n |
-i |
petri, peltoinlahti, ozi |
-t |
saksofonist, mΓ‘inusist, ruttΓ’dmist |
-st |
saksofonist, mΓ‘inusist, ruttΓ’dmist |
-a |
nabda, bΓ₯tsmora, guerra |
-s |
soldiers, neomys, ils |
-e |
studente, courte, oovce |
-h |
Àddejeh, vÀÀrialodÒh, underneath |
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 |
|---|---|---|---|
ielΓ’ |
1.89x | 19 contexts | Ε‘ielΓ’, kielΓ’, mielΓ’ |
ield |
1.75x | 22 contexts | field, mield, mielde |
kiel |
1.63x | 27 contexts | kielΓ’, kiela, kieli |
kirj |
1.80x | 17 contexts | kirja, kirje, kirjed |
kuΓ‘v |
2.00x | 12 contexts | kuΓ‘vlu, kuΓ‘vΕΎur, kuΓ‘vsui |
miel |
1.82x | 12 contexts | mieli, mield, mielΓ’ |
kaav |
1.81x | 11 contexts | kaavi, kaava, kaavio |
staa |
1.70x | 13 contexts | gstaad, staalu, staaΔΓ’ |
llee |
1.53x | 16 contexts | ellee, elleeh, lΓ€llee |
vtΓ’s |
1.65x | 11 contexts | laavtΓ’s, piivtΓ’s, oovtΓ’st |
ijee |
1.71x | 9 contexts | rΓ€ijee, leijee, saijeed |
ovtΓ’ |
1.71x | 9 contexts | ovtΓ’i, oovtΓ’, moovtΓ’ |
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 |
-i |
99 words | koΔoÀÀigi, kuorgΓ’i |
-k |
-a |
85 words | klaipΔda, kerola |
-s |
-n |
80 words | sΓΆderudden, superman |
-p |
-n |
76 words | pin, palestiin |
-k |
-n |
74 words | kaandΓ’in, kotimaisten |
-m |
-i |
69 words | majniemi, muusiksyergi |
-s |
-a |
65 words | selΓ€noja, sigΔdtsiga |
-m |
-n |
63 words | moiguin, mcpherson |
-t |
-n |
61 words | torjuin, tiipΕ‘on |
-k |
-t |
60 words | kertomukset, koirat |
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 |
|---|---|---|---|
| kunΓ’gΓ’liih | kunΓ’gΓ’l-i-ih |
7.5 | i |
| sisaΕ‘ijminister | sisaΕ‘ijmini-st-er |
7.5 | st |
| anthomyia | anthomy-i-a |
7.5 | i |
| historjΓ‘liih | historjΓ‘l-i-ih |
7.5 | i |
| miΓ€nΓ‘stus | miΓ€nΓ‘-st-us |
7.5 | st |
| kieldΓ’listo | kieldΓ’li-st-o |
7.5 | st |
| tuulosist | tuulos-i-st |
7.5 | i |
| spiekΓ’steh | spiekΓ’-st-eh |
7.5 | st |
| uΔΔΓ’ivemÑÑnuio | uΔΔΓ’ivemÑÑnu-i-o |
7.5 | i |
| ΔuΓ‘vumist | ΔuΓ‘vu-mi-st |
7.5 | mi |
| uΓ‘sΓ‘listeh | uΓ‘sΓ‘li-st-eh |
7.5 | st |
| journalists | journali-st-s |
7.5 | st |
| faithless | faithle-s-s |
7.5 | s |
| leppΓ€ranta | leppΓ€ra-n-ta |
7.5 | n |
| silbΓ’mitalistΓ’n | silbΓ’mitali-st-Γ’n |
7.5 | st |
6.6 Linguistic Interpretation
Automated Insight: The language Inari Sami 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 (4.51x) |
| N-gram | 2-gram | Lowest perplexity (438) |
| Markov | Context-4 | Highest predictability (96.4%) |
| 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) 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: 2026-01-10 21:29:57



















