Kikuyu - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Kikuyu 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 | 3.740x | 3.76 | 0.1464% | 56,680 |
| 16k | 4.204x | 4.22 | 0.1646% | 50,431 |
| 32k | 4.604x | 4.63 | 0.1802% | 46,049 |
| 64k | 4.761x 🏆 | 4.78 | 0.1864% | 44,531 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: Altay City irĩa nene ya China. Altay City irĩ igũrũ mũno ta 887 m. cia China
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁al ta y ▁city ▁irĩa ▁nene ▁ya ▁china . ▁al ... (+15 more) |
25 |
| 16k | ▁altay ▁city ▁irĩa ▁nene ▁ya ▁china . ▁altay ▁city ▁irĩ ... (+11 more) |
21 |
| 32k | ▁altay ▁city ▁irĩa ▁nene ▁ya ▁china . ▁altay ▁city ▁irĩ ... (+11 more) |
21 |
| 64k | ▁altay ▁city ▁irĩa ▁nene ▁ya ▁china . ▁altay ▁city ▁irĩ ... (+11 more) |
21 |
Sample 2: Ziyodin city irĩa nene ya Uzbekistan. City ya Ziyodin irĩ igũrũ mũno ta 395 m. c...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁zi yo din ▁city ▁irĩa ▁nene ▁ya ▁uzbekistan . ▁city ... (+16 more) |
26 |
| 16k | ▁ziyodin ▁city ▁irĩa ▁nene ▁ya ▁uzbekistan . ▁city ▁ya ▁ziyodin ... (+12 more) |
22 |
| 32k | ▁ziyodin ▁city ▁irĩa ▁nene ▁ya ▁uzbekistan . ▁city ▁ya ▁ziyodin ... (+12 more) |
22 |
| 64k | ▁ziyodin ▁city ▁irĩa ▁nene ▁ya ▁uzbekistan . ▁city ▁ya ▁ziyodin ... (+12 more) |
22 |
Sample 3: Matekinoronjĩsti me ngumo Bill Gates Everett Rogers Genrich Altshuller Henry For...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | ▁mate kinoronjĩ sti ▁me ▁ngumo ▁bill ▁gates ▁e vere tt ... (+26 more) |
36 |
| 16k | ▁mate kinoronjĩ sti ▁me ▁ngumo ▁bill ▁gates ▁everett ▁rogers ▁genrich ... (+13 more) |
23 |
| 32k | ▁mate kinoronjĩ sti ▁me ▁ngumo ▁bill ▁gates ▁everett ▁rogers ▁genrich ... (+13 more) |
23 |
| 64k | ▁mate kinoronjĩsti ▁me ▁ngumo ▁bill ▁gates ▁everett ▁rogers ▁genrich ▁altshuller ... (+11 more) |
21 |
Key Findings
- Best Compression: 64k achieves 4.761x compression
- Lowest UNK Rate: 8k with 0.1464% 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 | 1,695 | 10.73 | 3,484 | 29.8% | 67.3% |
| 2-gram | Subword | 221 🏆 | 7.79 | 1,640 | 72.6% | 99.5% |
| 3-gram | Word | 2,343 | 11.19 | 4,922 | 26.6% | 51.7% |
| 3-gram | Subword | 1,638 | 10.68 | 10,992 | 32.8% | 77.3% |
| 4-gram | Word | 10,195 | 13.32 | 14,421 | 11.0% | 21.2% |
| 4-gram | Subword | 8,170 | 13.00 | 46,210 | 15.8% | 47.0% |
| 5-gram | Word | 9,790 | 13.26 | 12,205 | 8.8% | 19.4% |
| 5-gram | Subword | 23,535 | 14.52 | 90,045 | 8.8% | 30.1% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | nene ya |
634 |
| 2 | irĩa nene |
619 |
| 3 | city irĩa |
611 |
| 4 | mũno ta |
563 |
| 5 | igũrũ mũno |
558 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | irĩa nene ya |
618 |
| 2 | city irĩa nene |
611 |
| 3 | igũrũ mũno ta |
554 |
| 4 | irĩ igũrũ mũno |
554 |
| 5 | nene ya china |
269 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | city irĩa nene ya |
611 |
| 2 | irĩ igũrũ mũno ta |
554 |
| 3 | irĩa nene ya china |
268 |
| 4 | ya china city ya |
253 |
| 5 | nene ya china city |
253 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | city irĩa nene ya china |
268 |
| 2 | nene ya china city ya |
253 |
| 3 | irĩa nene ya china city |
252 |
| 4 | city irĩa nene ya uzbekistan |
151 |
| 5 | nene ya uzbekistan city ya |
103 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ |
72,286 |
| 2 | _ m |
27,852 |
| 3 | _ n |
24,566 |
| 4 | _ k |
21,508 |
| 5 | o _ |
20,719 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | n a _ |
13,618 |
| 2 | a _ m |
12,680 |
| 3 | a _ k |
9,647 |
| 4 | i a _ |
9,237 |
| 5 | a _ n |
8,811 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ n a _ |
7,688 |
| 2 | _ w a _ |
7,106 |
| 3 | n d ũ _ |
4,669 |
| 4 | _ n ĩ _ |
4,466 |
| 5 | r ĩ a _ |
4,311 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ c i a _ |
2,410 |
| 2 | a _ w a _ |
2,350 |
| 3 | ũ n d ũ _ |
2,291 |
| 4 | k a n a _ |
2,253 |
| 5 | _ k a n a |
2,082 |
Key Findings
- Best Perplexity: 2-gram (subword) with 221
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~30% 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 | 0.5880 | 1.503 | 3.26 | 36,290 | 41.2% |
| 1 | Subword | 1.1410 | 2.205 | 8.50 | 464 | 0.0% |
| 2 | Word | 0.1749 | 1.129 | 1.35 | 117,531 | 82.5% |
| 2 | Subword | 1.0027 | 2.004 | 5.54 | 3,943 | 0.0% |
| 3 | Word | 0.0512 | 1.036 | 1.07 | 157,775 | 94.9% |
| 3 | Subword | 0.8396 | 1.790 | 3.66 | 21,830 | 16.0% |
| 4 | Word | 0.0195 🏆 | 1.014 | 1.03 | 168,145 | 98.0% |
| 4 | Subword | 0.6140 | 1.530 | 2.39 | 79,815 | 38.6% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
na njĩra ya thĩĩ handũ na indo ugĩciganagĩrĩra handu hatugĩru na kĩngeretha concision moigaga atĩ nĩwa mundu e heggy discovery of the anatomy of odinani nĩ ya cinda nĩ maũndũ mothenĩ kĩaringire gĩkaru kĩa njata kana ndamathia apartheid ya kũhũrwo ndwara thita cia mĩhĩrĩga ya keny...
Context Size 2:
nene ya uzbekistan city ya karachi irĩ igũrũ mũno ta 1 270 m cia chinairĩa nene ya uzbekistan city ya liuyang irĩ igũrũ mũno ta 162 279 m links poznań ciacity irĩa nene ya uzbekistan city ya malindi irĩ igũrũ mũno ta 12 0 m 39 4
Context Size 3:
irĩa nene ya china city ya guigang irĩ igũrũ mũno ta 1 779 m cia chinacity irĩa nene ya japan city ya sakai irĩ igũrũ mũno ta 757 m cia uzbekistanigũrũ mũno ta 61 m cia uzbekistan
Context Size 4:
city irĩa nene ya uzbekistan cia uzbekistanirĩ igũrũ mũno ta 12 m cia chinairĩa nene ya china city ya baotou irĩ igũrũ mũno ta 1 084 m cia china
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_ma_gh_rwerĩ_araa_mwty_rigo_rerîntha_fegabu_rĩna
Context Size 2:
a_ungĩte_ũgĩthĩ'._mo_gö_·_agwĩngo-_nĩa_igikamũthead
Context Size 3:
na_kagwo_ata_7.3.2a_mahũ_ya_nĩ_ndu_wa_kũthonal_koretwo
Context Size 4:
_na_kwĩrutaga_rtngt_wa_kũhiti_(deducatndũ_matho_wa_ũtihoy
Key Findings
- Best Predictability: Context-4 (word) with 98.0% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (79,815 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 15,538 |
| Total Tokens | 176,023 |
| Mean Frequency | 11.33 |
| Median Frequency | 3 |
| Frequency Std Dev | 112.81 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | na | 7,738 |
| 2 | wa | 7,198 |
| 3 | nĩ | 4,567 |
| 4 | ya | 4,306 |
| 5 | cia | 2,416 |
| 6 | kana | 2,104 |
| 7 | ta | 1,979 |
| 8 | inĩ | 1,613 |
| 9 | kĩa | 1,218 |
| 10 | city | 1,195 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | bisosa | 2 |
| 2 | biela | 2 |
| 3 | nzeba | 2 |
| 4 | mitshi | 2 |
| 5 | ikuama | 2 |
| 6 | bimuma | 2 |
| 7 | muikale | 2 |
| 8 | bujima | 2 |
| 9 | ngondu | 2 |
| 10 | kumonaye | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 0.9723 |
| R² (Goodness of Fit) | 0.992255 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 43.1% |
| Top 1,000 | 67.4% |
| Top 5,000 | 85.5% |
| Top 10,000 | 93.7% |
Key Findings
- Zipf Compliance: R²=0.9923 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 43.1% of corpus
- Long Tail: 5,538 words needed for remaining 6.3% 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 | 0.3640 🏆 | 0.4073 | N/A | N/A |
| mono_64d | 64 | 0.0941 | 0.3880 | N/A | N/A |
| mono_128d | 128 | 0.0139 | 0.4127 | N/A | N/A |
| aligned_32d | 32 | 0.3640 | 0.4033 | 0.0120 | 0.0680 |
| aligned_64d | 64 | 0.0941 | 0.3956 | 0.0080 | 0.0980 |
| aligned_128d | 128 | 0.0139 | 0.4268 | 0.0140 | 0.1120 |
Key Findings
- Best Isotropy: mono_32d with 0.3640 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.4056. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 1.4% 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 | -0.354 | 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 |
|---|---|
-m |
maarutaga, mahiu, mathondekaga |
-ma |
maarutaga, mahiu, mathondekaga |
-k |
kindũ, kũmuunda, kumenereria |
-kĩ |
kĩhumo, kĩna, kĩũteti |
-n |
nĩũĩ, ndangĩciara, ndĩra |
-a |
athĩni, athĩrĩria, ahingagia |
-t |
tũothe, tehũka, thĩiniĩ |
-g |
gacui, game, gũũcia |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
kũmuunda, maarutaga, bora |
-o |
marotero, hatonyagĩrwo, mĩako |
-e |
ohĩgĩrĩire, game, médiatique |
-ia |
henereria, athĩrĩria, kumenereria |
-wo |
hatonyagĩrwo, gĩakĩtwo, angikorwo |
-i |
hanini, athĩni, woneki |
-ra |
bora, ciura, ndangĩciara |
-re |
ohĩgĩrĩire, ũndũire, inyitanĩire |
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 |
|---|---|---|---|
gĩrĩ |
1.60x | 39 contexts | igĩrĩ, ĩgĩrĩ, gĩrĩma |
orag |
1.77x | 27 contexts | groraga, ĩroraga, űkoragwo |
ĩrĩr |
1.54x | 44 contexts | kĩrĩrĩ, hĩrĩre, kĩrĩro |
ũthi |
1.56x | 40 contexts | ũthii, ũthiĩ, ũthiũ |
ithi |
1.49x | 47 contexts | ithia, nithi, ithii |
gĩth |
1.57x | 35 contexts | gĩthĩ, gĩthu, gĩthũ |
agwo |
1.59x | 31 contexts | nagwo, wagwo, magwo |
thia |
1.45x | 41 contexts | ithia, ethia, athia |
mũth |
1.67x | 22 contexts | mũthĩ, mũthiu, mũthee |
hũth |
1.59x | 25 contexts | hũthũ, ũhũthe, hũthia |
math |
1.57x | 25 contexts | matha, ũmatho, mathaa |
rĩri |
1.63x | 21 contexts | rĩria, irĩria, arĩria |
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 |
-a |
424 words | kũrota, kĩorotaga |
-m |
-a |
271 words | mĩanga, matagathira |
-g |
-a |
266 words | gĩakinya, gĩrima |
-m |
-o |
222 words | mũmero, mehumbĩtwo |
-k |
-o |
150 words | kĩroho, kĩnyitithanagio |
-t |
-a |
149 words | tga, thĩgia |
-m |
-e |
145 words | maruanĩire, mbage |
-k |
-ia |
127 words | kũnyiihia, kĩgiragĩrĩria |
-a |
-a |
119 words | athamia, arara |
-m |
-i |
117 words | mũthũũri, muti |
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 |
|---|---|---|---|
| kũgathimĩra | kũgathim-ĩ-ra |
7.5 | ĩ |
| rĩtingĩrora | rĩtingĩr-o-ra |
7.5 | o |
| athomeire | athome-i-re |
7.5 | i |
| uzbekistan | uzbekist-a-n |
7.5 | a |
| inyanjara | inyanj-a-ra |
7.5 | a |
| ĩhũthĩkaga | ĩhũthĩk-a-ga |
7.5 | a |
| ndaragarara | ndaragar-a-ra |
7.5 | a |
| kũharahara | kũharah-a-ra |
7.5 | a |
| kĩhũthikaga | kĩhũthik-a-ga |
7.5 | a |
| ateretaga | ateret-a-ga |
7.5 | a |
| tengchong | tengch-o-ng |
7.5 | o |
| mũthigari | mũthi-ga-ri |
7.5 | ga |
| kĩhũthĩkaga | kĩhũthĩk-a-ga |
7.5 | a |
| hakundeeru | hakunde-e-ru |
7.5 | e |
| matikoragwo | ma-t-ikoragwo |
7.5 | ikoragwo |
6.6 Linguistic Interpretation
Automated Insight: The language Kikuyu 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 (4.76x) |
| N-gram | 2-gram | Lowest perplexity (221) |
| Markov | Context-4 | Highest predictability (98.0%) |
| 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: 2026-01-10 07:41:12



















