Hawaiian - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Hawaiian 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 | 3.272x | 3.28 | 0.0523% | 86,081 |
| 16k | 3.363x | 3.37 | 0.0537% | 83,741 |
| 32k | 3.442x | 3.45 | 0.0550% | 81,827 |
| 64k | 3.473x π | 3.49 | 0.0555% | 81,083 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: He aupuni kiwikΔ βo , i ka panalΔβau o Salamanca, ma Castille a Leon, ma Sepania...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 16k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 32k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 64k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
Sample 2: He aupuni kiwikΔ βo , i ka panalΔβau o Salamanca, ma Castille a Leon, ma Sepania...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 16k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 32k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 64k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
Sample 3: He aupuni kiwikΔ βo , i ka panalΔβau o Burgos, ma Castille a Leon, ma Sepania. o...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 16k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 32k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
| 64k | βhe βaupuni βkiwikΔ ββ o β, βi βka βpanalΔ β ... (+14 more) |
24 |
Key Findings
- Best Compression: 64k achieves 3.473x compression
- Lowest UNK Rate: 8k with 0.0523% 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 | 1,927 | 10.91 | 8,889 | 35.3% | 69.2% |
| 2-gram | Subword | 172 π | 7.43 | 2,081 | 78.7% | 99.4% |
| 3-gram | Word | 4,988 | 12.28 | 16,613 | 22.9% | 52.1% |
| 3-gram | Subword | 1,130 | 10.14 | 13,854 | 42.3% | 82.6% |
| 4-gram | Word | 9,312 | 13.18 | 27,880 | 17.9% | 41.4% |
| 4-gram | Subword | 4,664 | 12.19 | 56,149 | 24.2% | 60.9% |
| 5-gram | Word | 7,445 | 12.86 | 20,542 | 19.1% | 42.5% |
| 5-gram | Subword | 11,187 | 13.45 | 104,114 | 16.0% | 46.8% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | i ka |
7,715 |
| 2 | a me |
4,500 |
| 3 | o ka |
3,392 |
| 4 | i nΔ |
3,235 |
| 5 | ma ka |
2,812 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | i ka makahiki |
1,458 |
| 2 | a me ka |
1,387 |
| 3 | he aupuni kiwikΔ |
1,246 |
| 4 | castille a leon |
1,214 |
| 5 | aupuni kiwikΔ o |
1,117 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | he aupuni kiwikΔ o |
1,115 |
| 2 | castille a leon ma |
1,107 |
| 3 | ma castille a leon |
1,107 |
| 4 | a leon ma sepania |
1,106 |
| 5 | ka panalΔ au o |
1,087 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | ma castille a leon ma |
1,107 |
| 2 | castille a leon ma sepania |
1,106 |
| 3 | i ka panalΔ au o |
1,058 |
| 4 | he aupuni kiwikΔ o i |
973 |
| 5 | a leon ma sepania o |
953 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ |
144,590 |
| 2 | _ k |
78,727 |
| 3 | k a |
68,606 |
| 4 | i _ |
64,388 |
| 5 | _ m |
61,725 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ k a |
40,157 |
| 2 | k a _ |
35,837 |
| 3 | _ m a |
34,601 |
| 4 | a _ m |
27,428 |
| 5 | n a _ |
26,431 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ k a _ |
28,598 |
| 2 | a n a _ |
15,773 |
| 3 | a _ m a |
14,949 |
| 4 | _ m a _ |
14,806 |
| 5 | _ i _ k |
13,220 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | i _ k a _ |
10,231 |
| 2 | _ h o Κ» o |
9,268 |
| 3 | _ k a _ h |
8,914 |
| 4 | _ i _ k a |
8,275 |
| 5 | _ m e a _ |
7,759 |
Key Findings
- Best Perplexity: 2-gram (subword) with 172
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~47% 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 | 0.7250 | 1.653 | 4.38 | 29,186 | 27.5% |
| 1 | Subword | 0.9483 | 1.930 | 6.15 | 996 | 5.2% |
| 2 | Word | 0.3100 | 1.240 | 1.82 | 127,141 | 69.0% |
| 2 | Subword | 0.8333 | 1.782 | 4.77 | 6,120 | 16.7% |
| 3 | Word | 0.1613 | 1.118 | 1.32 | 230,368 | 83.9% |
| 3 | Subword | 0.7682 | 1.703 | 3.53 | 29,158 | 23.2% |
| 4 | Word | 0.0847 π | 1.060 | 1.14 | 302,875 | 91.5% |
| 4 | Subword | 0.5617 | 1.476 | 2.33 | 102,840 | 43.8% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
ka poΚ»e a me anna ma pukalani mea uamaiΚ»akomi wΔΚ»kalama ka sΔ«uakalΔmanΔΚ»mΕ ka rell no kΔi ka makahiki he aupuni kiwikΔ o kona mau hana Κ»ana ma kahi e komo muao nΔ kΕ«lana makauhale Κ»Δpana ka iΚ»a ua hoΚ»onohonoho Κ»o ia i ka hakakΔ inΔ kΔ«waΚ»ma
Context Size 2:
i ka makahiki ua komo Κ»o ia iΔ asta i ka dreamcast i ka makahiki ua hoΚ»okipaa me zulu he haku mele nΔ hΕΚ»ike i hΕΚ»iliΚ»ili kΔlΔ no nΔ kumuhana eduardo mea io ka wai gastric mucus loaΚ»a paha ka ramiro menΓ©ndez nΔ kΕ«mole pΔΚ»oi waho eΕ«mia emΔnahΔua mai
Context Size 3:
i ka makahiki ma mikikana nΔ hΔmeΚ»a nΔ hΔmeΚ»a nui linda cardellini lindsay weir john francis daley k...a me ka hΕΚ»ailona Κ»ike nui Κ»ia kahi i pΔΚ»ani ai i ka hoΚ»onui Κ»ana i kΔna kaΚ»ahe aupuni kiwikΔ o i ka panalΔ au o soria ma castille a leon ma sepania o zamora
Context Size 4:
he aupuni kiwikΔ o i ka panalΔ au o salamanca ma castille a leon ma sepania o salamancama castille a leon ma sepania o zamoracastille a leon ma sepania o leΓ³n
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_hose_ma_i_hi_l_a_kijoke_al_kuauiΔnaΚ»omeuhelaΚ»ia
Context Size 2:
a_250px_kino_mela_kulamartona_boweka_mana_ka_o_i_ma
Context Size 3:
_kana_o_nΕ«_Κ»o_moa_ka_lΔhelua_pard_no_ma_a_hoΚ»okakou_ma
Context Size 4:
_ka_wΔ_e_kona._i_kaana_ma_puulena_o_kaa_ma_kahiki_ua_hale
Key Findings
- Best Predictability: Context-4 (word) with 91.5% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (102,840 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 12,072 |
| Total Tokens | 429,287 |
| Mean Frequency | 35.56 |
| Median Frequency | 3 |
| Frequency Std Dev | 472.82 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | ka | 28,808 |
| 2 | i | 21,904 |
| 3 | o | 15,069 |
| 4 | ma | 15,022 |
| 5 | nΔ | 12,739 |
| 6 | a | 11,420 |
| 7 | Κ»o | 8,852 |
| 8 | ke | 8,793 |
| 9 | mea | 7,931 |
| 10 | me | 7,613 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | dix | 2 |
| 2 | kaiaola | 2 |
| 3 | macke | 2 |
| 4 | kunst | 2 |
| 5 | kontext | 2 |
| 6 | neubrandenburger | 2 |
| 7 | nr | 2 |
| 8 | wittenberg | 2 |
| 9 | rostock | 2 |
| 10 | ethnographic | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 1.2265 |
| RΒ² (Goodness of Fit) | 0.995587 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 63.7% |
| Top 1,000 | 86.4% |
| Top 5,000 | 95.9% |
| Top 10,000 | 99.0% |
Key Findings
- Zipf Compliance: RΒ²=0.9956 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 63.7% of corpus
- Long Tail: 2,072 words needed for remaining 1.0% 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 | 0.6902 | 0.3929 | N/A | N/A |
| mono_64d | 64 | 0.3523 | 0.3703 | N/A | N/A |
| mono_128d | 128 | 0.1052 | 0.3418 | N/A | N/A |
| aligned_32d | 32 | 0.6902 π | 0.3809 | 0.0260 | 0.1900 |
| aligned_64d | 64 | 0.3523 | 0.3634 | 0.0440 | 0.2580 |
| aligned_128d | 128 | 0.1052 | 0.3458 | 0.0940 | 0.3380 |
Key Findings
- Best Isotropy: aligned_32d with 0.6902 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3658. 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 | -0.093 | 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 |
|---|---|
-ho |
hoΚ»ouna, hokkaidΕ, hoΚ»ohiki |
-ma |
marins, makoto, makemakika |
-ka |
kanu, katsutaro, karla |
-hoΚ» |
hoΚ»ouna, hoΚ»ohiki, hoΚ»Δhewa |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
niwa, lehua, metala |
-na |
hoΚ»ouna, Κ»ohana, tobalina |
-ia |
poniΚ»ia, ekalesia, huaΚ»ia |
-er |
vermeer, chapter, cutter |
-la |
metala, hoΚ»Εla, anakola |
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 |
|---|---|---|---|
hoΚ»o |
1.78x | 25 contexts | hoΚ»onΔ, nohoΚ»o, hoΚ»okΕ |
oΚ»ol |
1.88x | 20 contexts | hoΚ»ola, hoΚ»oleo, hoΚ»olei |
oΚ»ok |
1.65x | 26 contexts | hoΚ»okΕ, hoΚ»okΕ«, hoΚ»okau |
oΚ»oh |
1.82x | 12 contexts | hoΚ»ohui, hoΚ»ohou, hoΚ»ohua |
oΚ»op |
1.85x | 11 contexts | hoΚ»opΔ, hoΚ»opau, hoΚ»opio |
aΚ»al |
1.64x | 12 contexts | aΚ»ale, kaΚ»ala, maΚ»alea |
Κ»oma |
1.90x | 8 contexts | Κ»omana, hoΚ»omau, hoΚ»omalu |
maik |
1.78x | 9 contexts | maiki, maika, maikai |
naka |
1.58x | 12 contexts | kΔnaka, kanaka, tanaka |
akah |
1.52x | 13 contexts | akahi, kakaha, akahai |
anak |
1.41x | 15 contexts | tanakh, kanaka, kanakΔ |
oΚ»om |
1.85x | 7 contexts | hoΚ»omau, hoΚ»omoe, hoΚ»omalu |
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 |
|---|---|---|---|
-ho |
-a |
80 words | hoΚ»opukakadokawa, hoΚ»olauleΚ»a |
-ka |
-a |
78 words | kaopa, kakamora |
-ma |
-a |
58 words | makaΚ»ala, mauritiusa |
-ka |
-na |
20 words | kamaΚ»Δina, kaumokuΚ»Δina |
-ho |
-na |
16 words | hopena, hoΚ»omana |
-ho |
-ia |
14 words | hontoria, hoΚ»ohaumia |
-ma |
-na |
14 words | mawaena, mahina |
-ma |
-la |
9 words | makaΚ»ala, matilla |
-ma |
-ia |
9 words | malaia, maikonesia |
-ka |
-la |
9 words | kapitala, karla |
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 |
|---|---|---|---|
| wehewehena | wehewehe-na |
4.5 | wehewehe |
| kuhikuhina | kuhikuhi-na |
4.5 | kuhikuhi |
| kikokikona | kikokiko-na |
4.5 | kikokiko |
| kamakakΕ«okalani | ka-ma-ka-kΕ«okalani |
4.5 | kΕ«okalani |
| kΔ«Κ»nekelana | kΔ«Κ»neke-la-na |
3.0 | kΔ«Κ»neke |
| makekonia | ma-kekon-ia |
3.0 | kekon |
| hoΚ»oukaΚ»ia | hoΚ»-oukaΚ»-ia |
3.0 | oukaΚ» |
| masedonia | ma-sedon-ia |
3.0 | sedon |
| hoΚ»oponoponoΚ»ia | hoΚ»-oponoponoΚ»-ia |
3.0 | oponoponoΚ» |
| kalekonia | ka-lekon-ia |
3.0 | lekon |
| kamaΚ»ilio | ka-ma-Κ»ilio |
3.0 | Κ»ilio |
| karipiana | ka-ripia-na |
3.0 | ripia |
| suazilana | suazi-la-na |
3.0 | suazi |
| hoΚ»okaΚ»ina | hoΚ»-okaΚ»i-na |
3.0 | okaΚ»i |
| hoΚ»opilikiaΚ»ia | hoΚ»-opilikiaΚ»-ia |
3.0 | opilikiaΚ» |
6.6 Linguistic Interpretation
Automated Insight: The language Hawaiian 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 (3.47x) |
| N-gram | 2-gram | Lowest perplexity (172) |
| Markov | Context-4 | Highest predictability (91.5%) |
| 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 02:13:39



















