Sakizaya - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Sakizaya Wikipedia data. We analyze tokenizers, n-gram models, Markov chains, vocabulary statistics, and word embeddings.
📋 Repository Contents
Models & Assets
- Tokenizers (8k, 16k, 32k, 64k)
- N-gram models (2, 3, 4, 5-gram)
- Markov chains (context of 1, 2, 3, 4 and 5)
- Subword N-gram and Markov chains
- Embeddings in various sizes and dimensions (aligned and unaligned)
- Language Vocabulary
- Language Statistics
Analysis and Evaluation
- 1. Tokenizer Evaluation
- 2. N-gram Model Evaluation
- 3. Markov Chain Evaluation
- 4. Vocabulary Analysis
- 5. Word Embeddings Evaluation
- 6. Morphological Analysis (Experimental)
- 7. Summary & Recommendations
- Metrics Glossary
- Visualizations Index
1. Tokenizer Evaluation
Results
| Vocab Size | Compression | Avg Token Len | UNK Rate | Total Tokens |
|---|---|---|---|---|
| 8k | 3.383x | 3.39 | 0.1851% | 601,273 |
| 16k | 3.613x | 3.61 | 0.1977% | 563,108 |
| 32k | 3.789x | 3.79 | 0.2073% | 536,850 |
| 64k | 3.882x 🏆 | 3.88 | 0.2124% | 524,017 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: (kamu nu hulam:照顧) diput tu babalaki. 照顧老人。 malalitin tu ihekalay atu zumaay a n...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁( kamu ▁nu ▁hulam : 照 顧 ) ▁d iput ... (+16 more) |
26 |
| 16k | ▁( kamu ▁nu ▁hulam : 照顧 ) ▁d iput ▁tu ... (+14 more) |
24 |
| 32k | ▁( kamu ▁nu ▁hulam : 照顧 ) ▁diput ▁tu ▁babalaki ... (+12 more) |
22 |
| 64k | ▁( kamu ▁nu ▁hulam : 照顧 ) ▁diput ▁tu ▁babalaki ... (+11 more) |
21 |
Sample 2: (kasatubangan:u kamu nu Hulam:被殖民、被奴隸 pasatubangan:讓他做奴隸)
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁( kas atu bangan : u ▁kamu ▁nu ▁hulam : ... (+17 more) |
27 |
| 16k | ▁( kas atu bangan : u ▁kamu ▁nu ▁hulam : ... (+17 more) |
27 |
| 32k | ▁( kas atu bangan : u ▁kamu ▁nu ▁hulam : ... (+16 more) |
26 |
| 64k | ▁( kas atubangan : u ▁kamu ▁nu ▁hulam : 被 ... (+9 more) |
19 |
Sample 3: kamu nu hulam:掉下 tinaku a kamu mihetik 掉下 mihetik kaku tu kalisiw i ginko. 我去銀行提...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁kamu ▁nu ▁hulam : 掉 下 ▁tinaku ▁a ▁kamu ▁mih ... (+29 more) |
39 |
| 16k | ▁kamu ▁nu ▁hulam : 掉 下 ▁tinaku ▁a ▁kamu ▁mih ... (+26 more) |
36 |
| 32k | ▁kamu ▁nu ▁hulam : 掉 下 ▁tinaku ▁a ▁kamu ▁mih ... (+26 more) |
36 |
| 64k | ▁kamu ▁nu ▁hulam : 掉下 ▁tinaku ▁a ▁kamu ▁mihetik ▁ ... (+21 more) |
31 |
Key Findings
- Best Compression: 64k achieves 3.882x compression
- Lowest UNK Rate: 8k with 0.1851% 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 | 8,778 | 13.10 | 36,425 | 17.4% | 45.6% |
| 2-gram | Subword | 254 🏆 | 7.99 | 27,613 | 77.3% | 95.0% |
| 3-gram | Word | 11,965 | 13.55 | 51,761 | 13.4% | 44.7% |
| 3-gram | Subword | 1,471 | 10.52 | 60,255 | 37.3% | 81.6% |
| 4-gram | Word | 18,427 | 14.17 | 98,389 | 13.3% | 43.1% |
| 4-gram | Subword | 6,740 | 12.72 | 170,144 | 17.8% | 54.2% |
| 5-gram | Word | 13,641 | 13.74 | 78,197 | 15.0% | 47.2% |
| 5-gram | Subword | 20,122 | 14.30 | 280,627 | 10.5% | 36.0% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a tademaw |
9,781 |
| 2 | a mihcaan |
6,305 |
| 3 | sa u |
4,975 |
| 4 | idaw ku |
4,643 |
| 5 | ku tademaw |
4,369 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | kamu nu hulam |
1,808 |
| 2 | nasulitan nasakamuan atu |
1,789 |
| 3 | namakayniay a nasulitan |
1,789 |
| 4 | a nasulitan nasakamuan |
1,789 |
| 5 | nasakamuan atu natinengan |
1,757 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a nasulitan nasakamuan atu |
1,789 |
| 2 | namakayniay a nasulitan nasakamuan |
1,778 |
| 3 | nasulitan nasakamuan atu natinengan |
1,755 |
| 4 | atu zumaay a natinengan |
1,673 |
| 5 | tu ihekalay atu zumaay |
1,466 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | namakayniay a nasulitan nasakamuan atu |
1,778 |
| 2 | a nasulitan nasakamuan atu natinengan |
1,755 |
| 3 | tu ihekalay atu zumaay a |
1,465 |
| 4 | malalitin tu ihekalay atu zumaay |
1,463 |
| 5 | ihekalay atu zumaay a natinengan |
1,462 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | u _ |
357,853 |
| 2 | a n |
299,562 |
| 3 | a _ |
290,493 |
| 4 | a y |
241,409 |
| 5 | _ a |
215,000 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a y _ |
143,914 |
| 2 | _ a _ |
137,006 |
| 3 | a n _ |
126,871 |
| 4 | t u _ |
101,083 |
| 5 | _ s a |
100,121 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ n u _ |
84,566 |
| 2 | _ t u _ |
65,522 |
| 3 | _ k u _ |
59,832 |
| 4 | a y _ a |
54,817 |
| 5 | y _ a _ |
47,865 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a y _ a _ |
47,058 |
| 2 | _ a t u _ |
22,206 |
| 3 | t a d e m |
21,403 |
| 4 | a d e m a |
21,335 |
| 5 | d e m a w |
21,328 |
Key Findings
- Best Perplexity: 2-gram (subword) with 254
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~36% 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 | 0.4793 | 1.394 | 3.89 | 158,896 | 52.1% |
| 1 | Subword | 2.1979 | 4.588 | 29.06 | 6,068 | 0.0% |
| 2 | Word | 0.2677 | 1.204 | 1.80 | 616,064 | 73.2% |
| 2 | Subword | 0.5459 | 1.460 | 2.59 | 176,243 | 45.4% |
| 3 | Word | 0.1031 | 1.074 | 1.20 | 1,105,652 | 89.7% |
| 3 | Subword | 0.2326 | 1.175 | 1.58 | 456,451 | 76.7% |
| 4 | Word | 0.0342 🏆 | 1.024 | 1.06 | 1,321,192 | 96.6% |
| 4 | Subword | 0.1897 | 1.141 | 1.47 | 718,822 | 81.0% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
a kamu nu sakizaya 940 sejek 9 位由執政黨與反對黨分別任命之參議員組成 任期五年 每五年舉行一次普選 malawi sa cacay ademiad mapatay im...nu u miliyaway a cidekay 南島語族 saan ya a kawaw panay有專屬的工作tu 報刊會涼 u siwkay nu sakizaya 鄒族 cou uici itan 卑南 triyatriyaran 阿美 bu a sapaluma
Context Size 2:
a tademaw silecaday a lalangawan lisin kamu atu kabanaan si kalilidan tumuk saca babalaki mililid tu...a mihcaan u nananuman nikaidaw atu sapatakekal hamin i cung ku u pu se su wi alesensa u moyan putiput tina dadiw sa nasulitan ni tuku sayun nay pabalucu ay a cidekay ku
Context Size 3:
kamu nu hulam a pu ha ce a kakitidaan atu nu sakay kinkuay i paris 巴黎 kina ia nasulitan nasakamuan atu natinengan lists of national basketball association sapuyu en nba u amis ...nasulitan nasakamuan atu natinengan 參考來源 ː malaalitin tu i hekalay atu zumaay a natinengan list of c...
Context Size 4:
a nasulitan nasakamuan atu natinengan lists of national basketball association players alvan adams 阿...namakayniay a nasulitan nasakamuan atu natinengan 撒奇萊雅族語詞典 原住民族委員會線上字詞典 花蓮縣政府nasulitan nasakamuan atu natinengan 中國高等植物資料庫全庫 中國科學院微生物研究所 行政院原住民族委員會 原住民族藥用植物 花序數位典藏國家型科技計畫 應用服務分項...
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
abu_mit_in._iw-b_uzay_ng”,isasanude_cihcatu_a_ay
Context Size 2:
u_macay_a_nida_pianaydaw-mici_paana_casa_luayinipah
Context Size 3:
ay_izaw_nan_藝術家mis_a_nidaw_masa_micaan_cuduc_tu_pyria_
Context Size 4:
_nu_siyhu_ku_kapah__tu_takuwanikeliday_ku_akuti’_nu_baluc
Key Findings
- Best Predictability: Context-4 (word) with 96.6% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (718,822 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 51,046 |
| Total Tokens | 1,702,988 |
| Mean Frequency | 33.36 |
| Median Frequency | 3 |
| Frequency Std Dev | 928.70 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | a | 138,739 |
| 2 | nu | 85,232 |
| 3 | tu | 70,354 |
| 4 | ku | 61,136 |
| 5 | u | 60,011 |
| 6 | sa | 38,061 |
| 7 | i | 34,413 |
| 8 | atu | 22,437 |
| 9 | tademaw | 19,177 |
| 10 | ci | 13,592 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | lengat | 2 |
| 2 | 屋頂的裂縫 | 2 |
| 3 | pulukelin | 2 |
| 4 | kulisimas | 2 |
| 5 | pingki | 2 |
| 6 | matulakay | 2 |
| 7 | kalimicu | 2 |
| 8 | 的未來 | 2 |
| 9 | pisasapi | 2 |
| 10 | sadihkuay | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.1985 |
| R² (Goodness of Fit) | 0.993933 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 49.3% |
| Top 1,000 | 75.3% |
| Top 5,000 | 88.1% |
| Top 10,000 | 92.1% |
Key Findings
- Zipf Compliance: R²=0.9939 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 49.3% of corpus
- Long Tail: 41,046 words needed for remaining 7.9% 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 | 0.7206 | 0.3585 | N/A | N/A |
| mono_64d | 64 | 0.6971 | 0.2873 | N/A | N/A |
| mono_128d | 128 | 0.4883 | 0.2402 | N/A | N/A |
| aligned_32d | 32 | 0.7206 🏆 | 0.3548 | 0.0300 | 0.1480 |
| aligned_64d | 64 | 0.6971 | 0.2750 | 0.0520 | 0.2520 |
| aligned_128d | 128 | 0.4883 | 0.2443 | 0.0700 | 0.2960 |
Key Findings
- Best Isotropy: aligned_32d with 0.7206 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.2934. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 7.0% 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 | 0.310 | High formulaic/idiomatic 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 |
|---|---|
-ma |
masakiketay, mabunal, mata目 |
-ka |
kadiceman, kasikawaw, kaniket |
-pa |
pabelien, pakalaliw, pacukeday |
-sa |
saicelangan, sakatu, sakaudipan |
-mi |
mipelu, mipuputay, mingaayay |
-a |
ak, amuawaw, anuyaan |
-s |
saicelangan, sʉhlʉnganʉ, sakatu |
-m |
mipelu, muoli, masakiketay |
Productive Suffixes
| Suffix | Examples |
|---|---|
-n |
pabelien, saicelangan, anuyaan |
-an |
saicelangan, anuyaan, kadiceman |
-ay |
umahicaay, masakiketay, mipuputay |
-y |
umahicaay, masakiketay, mipuputay |
-a |
yaciyana, yita, esperança |
-ng |
pisasing, ninaimelang, inng |
-g |
pisasing, ninaimelang, inng |
-u |
mipelu, sakatu, swu |
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 |
|---|---|---|---|
ulit |
1.96x | 76 contexts | sulit, kulit, asulit |
atin |
1.96x | 71 contexts | latin, yatin, matin |
inen |
1.96x | 69 contexts | yinen, bineng, tineng |
tade |
2.10x | 42 contexts | tadek, taden, tadem |
dema |
2.08x | 40 contexts | demaw, demad, demak |
emia |
2.16x | 34 contexts | emiad, demia, demiad |
awan |
1.69x | 92 contexts | tawan, dawan, awang |
tine |
2.29x | 27 contexts | tineng, atineng, utineng |
demi |
2.21x | 29 contexts | demia, demied, kudemi |
hcaa |
2.19x | 28 contexts | ihcaan, mihcaa, mhcaan |
anan |
1.56x | 108 contexts | canan, nanan, panan |
anat |
2.28x | 18 contexts | canata, kanatl, kanata |
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 |
|---|---|---|---|
-ma |
-y |
218 words | mapasimaay, mapatidengay |
-ma |
-ay |
211 words | mapasimaay, mapatidengay |
-ka |
-n |
148 words | kasaupuan, kalalulan |
-ka |
-an |
141 words | kasaupuan, kalalulan |
-sa |
-n |
122 words | sakalihalayan, sakayduhan |
-mi |
-y |
120 words | mitatibay, micacuy |
-mi |
-ay |
116 words | mitatibay, mibelinay |
-pa |
-n |
114 words | pazen, pasilisian |
-sa |
-an |
93 words | sakalihalayan, sakayduhan |
-sa |
-y |
72 words | sapisahemay, sakasiidaay |
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 |
|---|---|---|---|
| nikuwanay | nikuw-an-ay |
7.5 | an |
| asasemaan | asase-ma-an |
7.5 | ma |
| maytebanay | mayteb-an-ay |
7.5 | an |
| sakaputun | sakapu-tu-n |
7.5 | tu |
| sapaiyuwan | sapaiyu-w-an |
7.5 | w |
| kasasudang | kasasu-da-ng |
7.5 | da |
| binacadana | binacad-an-a |
7.5 | an |
| nipikisaan | nipikis-a-an |
7.5 | a |
| lalaliyunan | lalaliyu-n-an |
7.5 | n |
| tadatabaki | ta-da-tabaki |
7.5 | tabaki |
| namakaadih | na-ma-kaadih |
7.5 | kaadih |
| amasasetul | a-ma-sasetul |
7.5 | sasetul |
| mamamelawan | ma-ma-melawan |
7.5 | melawan |
| tadaadidi | ta-da-adidi |
7.5 | adidi |
| malalawlaw | malalaw-l-aw |
7.5 | l |
6.6 Linguistic Interpretation
Automated Insight: The language Sakizaya shows high morphological productivity. The subword models are significantly more efficient than word models, suggesting a rich system of affixation or compounding.
Note on Idiomaticity: The high Idiomaticity Gap suggests a large number of frequent multi-word expressions or formulaic sequences that are statistically distinct from their component parts.
7. Summary & Recommendations
Production Recommendations
| Component | Recommended | Rationale |
|---|---|---|
| Tokenizer | 64k BPE | Best compression (3.88x) |
| N-gram | 2-gram | Lowest perplexity (254) |
| Markov | Context-4 | Highest predictability (96.6%) |
| Embeddings | 100d | Balanced semantic capture and isotropy |
Appendix: Metrics Glossary & Interpretation Guide
This section provides definitions, intuitions, and guidance for interpreting the metrics used throughout this report.
Tokenizer Metrics
Compression Ratio
Definition: The ratio of characters to tokens (chars/token). Measures how efficiently the tokenizer represents text.
Intuition: Higher compression means fewer tokens needed to represent the same text, reducing sequence lengths for downstream models. A 3x compression means ~3 characters per token on average.
What to seek: Higher is generally better for efficiency, but extremely high compression may indicate overly aggressive merging that loses morphological information.
Average Token Length (Fertility)
Definition: Mean number of characters per token produced by the tokenizer.
Intuition: Reflects the granularity of tokenization. Longer tokens capture more context but may struggle with rare words; shorter tokens are more flexible but increase sequence length.
What to seek: Balance between 2-5 characters for most languages. Arabic/morphologically-rich languages may benefit from slightly longer tokens.
Unknown Token Rate (OOV Rate)
Definition: Percentage of tokens that map to the unknown/UNK token, indicating words the tokenizer cannot represent.
Intuition: Lower OOV means better vocabulary coverage. High OOV indicates the tokenizer encounters many unseen character sequences.
What to seek: Below 1% is excellent; below 5% is acceptable. BPE tokenizers typically achieve very low OOV due to subword fallback.
N-gram Model Metrics
Perplexity
Definition: Measures how "surprised" the model is by test data. Mathematically: 2^(cross-entropy). Lower values indicate better prediction.
Intuition: If perplexity is 100, the model is as uncertain as if choosing uniformly among 100 options at each step. A perplexity of 10 means effectively choosing among 10 equally likely options.
What to seek: Lower is better. Perplexity decreases with larger n-grams (more context). Values vary widely by language and corpus size.
Entropy
Definition: Average information content (in bits) needed to encode the next token given the context. Related to perplexity: perplexity = 2^entropy.
Intuition: High entropy means high uncertainty/randomness; low entropy means predictable patterns. Natural language typically has entropy between 1-4 bits per character.
What to seek: Lower entropy indicates more predictable text patterns. Entropy should decrease as n-gram size increases.
Coverage (Top-K)
Definition: Percentage of corpus occurrences explained by the top K most frequent n-grams.
Intuition: High coverage with few patterns indicates repetitive/formulaic text; low coverage suggests diverse vocabulary usage.
What to seek: Depends on use case. For language modeling, moderate coverage (40-60% with top-1000) is typical for natural text.
Markov Chain Metrics
Average Entropy
Definition: Mean entropy across all contexts, measuring average uncertainty in next-word prediction.
Intuition: Lower entropy means the model is more confident about what comes next. Context-1 has high entropy (many possible next words); Context-4 has low entropy (few likely continuations).
What to seek: Decreasing entropy with larger context sizes. Very low entropy (<0.1) indicates highly deterministic transitions.
Branching Factor
Definition: Average number of unique next tokens observed for each context.
Intuition: High branching = many possible continuations (flexible but uncertain); low branching = few options (predictable but potentially repetitive).
What to seek: Branching factor should decrease with context size. Values near 1.0 indicate nearly deterministic chains.
Predictability
Definition: Derived metric: (1 - normalized_entropy) × 100%. Indicates how deterministic the model's predictions are.
Intuition: 100% predictability means the next word is always certain; 0% means completely random. Real text falls between these extremes.
What to seek: Higher predictability for text generation quality, but too high (>98%) may produce repetitive output.
Vocabulary & Zipf's Law Metrics
Zipf's Coefficient
Definition: The slope of the log-log plot of word frequency vs. rank. Zipf's law predicts this should be approximately -1.
Intuition: A coefficient near -1 indicates the corpus follows natural language patterns where a few words are very common and most words are rare.
What to seek: Values between -0.8 and -1.2 indicate healthy natural language distribution. Deviations may suggest domain-specific or artificial text.
R² (Coefficient of Determination)
Definition: Measures how well the linear fit explains the frequency-rank relationship. Ranges from 0 to 1.
Intuition: R² near 1.0 means the data closely follows Zipf's law; lower values indicate deviation from expected word frequency patterns.
What to seek: R² > 0.95 is excellent; > 0.99 indicates near-perfect Zipf adherence typical of large natural corpora.
Vocabulary Coverage
Definition: Cumulative percentage of corpus tokens accounted for by the top N words.
Intuition: Shows how concentrated word usage is. If top-100 words cover 50% of text, the corpus relies heavily on common words.
What to seek: Top-100 covering 30-50% is typical. Higher coverage indicates more repetitive text; lower suggests richer vocabulary.
Word Embedding Metrics
Isotropy
Definition: Measures how uniformly distributed vectors are in the embedding space. Computed as the ratio of minimum to maximum singular values.
Intuition: High isotropy (near 1.0) means vectors spread evenly in all directions; low isotropy means vectors cluster in certain directions, reducing expressiveness.
What to seek: Higher isotropy generally indicates better-quality embeddings. Values > 0.1 are reasonable; > 0.3 is good. Lower-dimensional embeddings tend to have higher isotropy.
Average Norm
Definition: Mean magnitude (L2 norm) of word vectors in the embedding space.
Intuition: Indicates the typical "length" of vectors. Consistent norms suggest stable training; high variance may indicate some words are undertrained.
What to seek: Relatively consistent norms across models. The absolute value matters less than consistency (low std deviation).
Cosine Similarity
Definition: Measures angular similarity between vectors, ranging from -1 (opposite) to 1 (identical direction).
Intuition: Words with similar meanings should have high cosine similarity. This is the standard metric for semantic relatedness in embeddings.
What to seek: Semantically related words should score > 0.5; unrelated words should be near 0. Synonyms often score > 0.7.
t-SNE Visualization
Definition: t-Distributed Stochastic Neighbor Embedding - a dimensionality reduction technique that preserves local structure for visualization.
Intuition: Clusters in t-SNE plots indicate groups of semantically related words. Spread indicates vocabulary diversity; tight clusters suggest semantic coherence.
What to seek: Meaningful clusters (e.g., numbers together, verbs together). Avoid over-interpreting distances - t-SNE preserves local, not global, structure.
General Interpretation Guidelines
- Compare within model families: Metrics are most meaningful when comparing models of the same type (e.g., 8k vs 64k tokenizer).
- Consider trade-offs: Better performance on one metric often comes at the cost of another (e.g., compression vs. OOV rate).
- Context matters: Optimal values depend on downstream tasks. Text generation may prioritize different metrics than classification.
- Corpus influence: All metrics are influenced by corpus characteristics. Wikipedia text differs from social media or literature.
- Language-specific patterns: Morphologically rich languages (like Arabic) may show different optimal ranges than analytic languages.
Visualizations Index
| Visualization | Description |
|---|---|
| Tokenizer Compression | Compression ratios by vocabulary size |
| Tokenizer Fertility | Average token length by vocabulary |
| Tokenizer OOV | Unknown token rates |
| Tokenizer Total Tokens | Total tokens by vocabulary |
| N-gram Perplexity | Perplexity by n-gram size |
| N-gram Entropy | Entropy by n-gram size |
| N-gram Coverage | Top pattern coverage |
| N-gram Unique | Unique n-gram counts |
| Markov Entropy | Entropy by context size |
| Markov Branching | Branching factor by context |
| Markov Contexts | Unique context counts |
| Zipf's Law | Frequency-rank distribution with fit |
| Vocab Frequency | Word frequency distribution |
| Top 20 Words | Most frequent words |
| Vocab Coverage | Cumulative coverage curve |
| Embedding Isotropy | Vector space uniformity |
| Embedding Norms | Vector magnitude distribution |
| Embedding Similarity | Word similarity heatmap |
| Nearest Neighbors | Similar words for key terms |
| t-SNE Words | 2D word embedding visualization |
| t-SNE Sentences | 2D sentence embedding visualization |
| Position Encoding | Encoding method comparison |
| Model Sizes | Storage requirements |
| Performance Dashboard | Comprehensive performance overview |
About This Project
Data Source
Models trained on wikipedia-monthly - a monthly snapshot of Wikipedia articles across 300+ languages.
Project
A project by Wikilangs - Open-source NLP models for every Wikipedia language.
Maintainer
Citation
If you use these models in your research, please cite:
@misc{wikilangs2025,
author = {Kamali, Omar},
title = {Wikilangs: Open NLP Models for Wikipedia Languages},
year = {2025},
doi = {10.5281/zenodo.18073153},
publisher = {Zenodo},
url = {https://huggingface.co/wikilangs}
institution = {Omneity Labs}
}
License
MIT License - Free for academic and commercial use.
Links
- 🌐 Website: wikilangs.org
- 🤗 Models: huggingface.co/wikilangs
- 📊 Data: wikipedia-monthly
- 👤 Author: Omar Kamali
- 🤝 Sponsor: Featherless AI
Generated by Wikilangs Models Pipeline
Report Date: 2026-01-11 00:15:31



















