Croatian - Wikilangs Models
Comprehensive Research Report & Full Ablation Study
This repository contains NLP models trained and evaluated by Wikilangs, specifically on Croatian 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 | 3.541x | 3.54 | 0.0441% | 1,061,585 |
| 16k | 3.929x | 3.93 | 0.0489% | 956,840 |
| 32k | 4.292x | 4.29 | 0.0534% | 875,971 |
| 64k | 4.592x π | 4.59 | 0.0572% | 818,812 |
Tokenization Examples
Below are sample sentences tokenized with each vocabulary size:
Sample 1: NGC je galaksija u zvijeΕΎΔu Vodenoj zmiji. Izvori Vanjske poveznice NGC
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βngc βje βgalaksija βu βzvijeΕΎΔu βvode noj βz mi ji ... (+5 more) |
15 |
| 16k | βngc βje βgalaksija βu βzvijeΕΎΔu βvode noj βz miji . ... (+4 more) |
14 |
| 32k | βngc βje βgalaksija βu βzvijeΕΎΔu βvodenoj βzmiji . βizvori βvanjske ... (+2 more) |
12 |
| 64k | βngc βje βgalaksija βu βzvijeΕΎΔu βvodenoj βzmiji . βizvori βvanjske ... (+2 more) |
12 |
Sample 2: Hrvatska: Kostadinovac (KriΕΎevci), gradsko naselje KriΕΎevaca Srbija: Kostadinova...
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βhrvatska : βkosta di novac β( kriΕΎe vci ), βgrad ... (+24 more) |
34 |
| 16k | βhrvatska : βkosta di novac β( kriΕΎe vci ), βgradsko ... (+20 more) |
30 |
| 32k | βhrvatska : βkosta di novac β( kriΕΎe vci ), βgradsko ... (+19 more) |
29 |
| 64k | βhrvatska : βkosta di novac β( kriΕΎevci ), βgradsko βnaselje ... (+17 more) |
27 |
Sample 3: NGC 587 je galaksija u zvijeΕΎΔu Trokut. Izvori Vanjske poveznice NGC
| Vocab | Tokens | Count |
|---|---|---|
| 8k | βngc β 5 8 7 βje βgalaksija βu βzvijeΕΎΔu βtroku ... (+6 more) |
16 |
| 16k | βngc β 5 8 7 βje βgalaksija βu βzvijeΕΎΔu βtroku ... (+6 more) |
16 |
| 32k | βngc β 5 8 7 βje βgalaksija βu βzvijeΕΎΔu βtrokut ... (+5 more) |
15 |
| 64k | βngc β 5 8 7 βje βgalaksija βu βzvijeΕΎΔu βtrokut ... (+5 more) |
15 |
Key Findings
- Best Compression: 64k achieves 4.592x compression
- Lowest UNK Rate: 8k with 0.0441% 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 | 267,023 | 18.03 | 1,536,962 | 6.2% | 15.5% |
| 2-gram | Subword | 314 π | 8.29 | 17,412 | 63.2% | 99.0% |
| 3-gram | Word | 860,543 | 19.71 | 2,568,958 | 2.9% | 8.5% |
| 3-gram | Subword | 3,101 | 11.60 | 146,611 | 21.1% | 65.0% |
| 4-gram | Word | 2,007,494 | 20.94 | 4,346,865 | 2.5% | 6.6% |
| 4-gram | Subword | 21,614 | 14.40 | 870,800 | 8.5% | 30.3% |
| 5-gram | Word | 1,554,489 | 20.57 | 3,187,745 | 3.2% | 7.7% |
| 5-gram | Subword | 106,845 | 16.71 | 3,145,742 | 3.9% | 15.9% |
Top 5 N-grams by Size
2-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | je u |
105,341 |
| 2 | vanjske poveznice |
93,834 |
| 3 | koji je |
79,115 |
| 4 | da je |
76,085 |
| 5 | bio je |
64,808 |
3-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | izvori vanjske poveznice |
48,503 |
| 2 | bosne i hercegovine |
15,350 |
| 3 | 0 0 0 |
15,157 |
| 4 | prema popisu stanovniΕ‘tva |
14,804 |
| 5 | popisu stanovniΕ‘tva iz |
14,603 |
4-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | prema popisu stanovniΕ‘tva iz |
13,965 |
| 2 | popisu stanovniΕ‘tva iz godine |
9,055 |
| 3 | 0 0 0 0 |
7,718 |
| 4 | stanovniΕ‘tvo prema popisu stanovniΕ‘tva |
7,610 |
| 5 | u bosni i hercegovini |
7,346 |
5-grams (Word):
| Rank | N-gram | Count |
|---|---|---|
| 1 | prema popisu stanovniΕ‘tva iz godine |
8,505 |
| 2 | stanovniΕ‘tvo prema popisu stanovniΕ‘tva iz |
7,504 |
| 3 | iz godine naselje je imalo |
6,432 |
| 4 | popisu stanovniΕ‘tva iz godine naselje |
6,074 |
| 5 | klub ut pob ner por |
6,053 |
2-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ |
11,772,034 |
| 2 | e _ |
10,057,232 |
| 3 | j e |
9,032,733 |
| 4 | i _ |
7,983,271 |
| 5 | _ s |
7,190,572 |
3-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | j e _ |
3,895,077 |
| 2 | _ j e |
2,710,825 |
| 3 | _ p o |
2,506,868 |
| 4 | _ p r |
2,383,257 |
| 5 | _ n a |
2,336,425 |
4-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | _ j e _ |
2,225,392 |
| 2 | _ n a _ |
884,954 |
| 3 | _ s e _ |
864,331 |
| 4 | _ p r o |
684,557 |
| 5 | _ k o j |
681,175 |
5-grams (Subword):
| Rank | N-gram | Count |
|---|---|---|
| 1 | a _ j e _ |
584,793 |
| 2 | o _ j e _ |
536,381 |
| 3 | _ g o d i |
464,832 |
| 4 | g o d i n |
453,046 |
| 5 | o d i n e |
358,859 |
Key Findings
- Best Perplexity: 2-gram (subword) with 314
- Entropy Trend: Decreases with larger n-grams (more predictable)
- Coverage: Top-1000 patterns cover ~16% 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 | 1.0357 | 2.050 | 12.27 | 1,815,273 | 0.0% |
| 1 | Subword | 1.2283 | 2.343 | 8.11 | 7,670 | 0.0% |
| 2 | Word | 0.3287 | 1.256 | 2.06 | 22,242,688 | 67.1% |
| 2 | Subword | 0.7670 | 1.702 | 5.14 | 62,088 | 23.3% |
| 3 | Word | 0.1208 | 1.087 | 1.25 | 45,802,650 | 87.9% |
| 3 | Subword | 0.8038 | 1.746 | 4.62 | 318,839 | 19.6% |
| 4 | Word | 0.0449 π | 1.032 | 1.07 | 57,168,259 | 95.5% |
| 4 | Subword | 0.7427 | 1.673 | 3.77 | 1,471,918 | 25.7% |
Generated Text Samples (Word-based)
Below are text samples generated from each word-based Markov chain model:
Context Size 1:
je jedini gol bod1 orijent expressu od do polufinala nastupila je manji zbog toga dragocjena uu 56 km kvadratnih kilometara je postao vodeΔi u dundu maroju armandu kemiΔara i beΔki ii izraz malo energije na njihovo je takoΔer povezivanje svakoga naroda onaj za istraΕΎivanje je minog...
Context Size 2:
je u sabirni logor za zarobljene Ε‘panjolske muΕ‘karce i ΕΎene koji su bez uspjeha robert lowie jevanjske poveznice hrvatske kazaliΕ‘ne manifestacije u hrvatskoj reformsko krilo koje se smatra normal...koji je osvojio pojedinaΔnu medalju na austrian openu u osmini zavrΕ‘nice osam i protjerivan sedam pu...
Context Size 3:
izvori vanjske poveznice hartmut frommert revidirani novi opΔi katalog eng izvangalaktiΔka baza poda...0 0 0 0 0 4 1 kvalifikacije za afriΔki kup nacija 08 17 21 lipnja abuja nationalbosne i hercegovine postao je slobodno podruΔje izabran je za izvanrednog profesora na harvardu te v...
Context Size 4:
prema popisu stanovniΕ‘tva iz godine rajΔiΔi su imali 4 stanovnika vanjske poveznice o blaΕΎeviΔ dolu ...popisu stanovniΕ‘tva iz godine naselje je imalo 0 stanovnikapopis stanovniΕ‘tva www dzs hr te 25 obite...0 0 0 0 0 hispanoamerikanci 4 0 9 12 1 4 ukupno 844 861 vrela vanjske poveznice u
Generated Text Samples (Subword-based)
Below are text samples generated from each subword-based Markov chain model:
Context Size 1:
_poskovopr._vi_dav_jeni_staog_1.ire_zbe._n_pledo
Context Size 2:
a_prednog_reba_mee_urisamom_kakvu.jedina_jensih_fij
Context Size 3:
je_udruΕΎen_uglavno_je_je_meki_drΕΎana_postavu_i_murski_
Context Size 4:
_je_i_βbijedloΕΎili__na_bio_je_breedler_se_tada_satenu_dat
Key Findings
- Best Predictability: Context-4 (word) with 95.5% predictability
- Branching Factor: Decreases with context size (more deterministic)
- Memory Trade-off: Larger contexts require more storage (1,471,918 contexts)
- Recommendation: Context-3 or Context-4 for text generation
4. Vocabulary Analysis
Statistics
| Metric | Value |
|---|---|
| Vocabulary Size | 865,837 |
| Total Tokens | 68,760,487 |
| Mean Frequency | 79.42 |
| Median Frequency | 4 |
| Frequency Std Dev | 4611.66 |
Most Common Words
| Rank | Word | Frequency |
|---|---|---|
| 1 | je | 2,245,537 |
| 2 | u | 2,108,487 |
| 3 | i | 2,058,490 |
| 4 | na | 897,376 |
| 5 | se | 873,737 |
| 6 | su | 661,725 |
| 7 | za | 564,276 |
| 8 | od | 535,634 |
| 9 | s | 445,590 |
| 10 | a | 436,542 |
Least Common Words (from vocabulary)
| Rank | Word | Frequency |
|---|---|---|
| 1 | uerpmann | 2 |
| 2 | cociancicha | 2 |
| 3 | fornasari | 2 |
| 4 | federighi | 2 |
| 5 | ulanoff | 2 |
| 6 | svelteov | 2 |
| 7 | ractive | 2 |
| 8 | jsdoc | 2 |
| 9 | vercel | 2 |
| 10 | onsubmit | 2 |
Zipf's Law Analysis
| Metric | Value |
|---|---|
| Zipf Coefficient | 0.9105 |
| RΒ² (Goodness of Fit) | 0.998328 |
| Adherence Quality | excellent |
Coverage Analysis
| Top N Words | Coverage |
|---|---|
| Top 100 | 29.2% |
| Top 1,000 | 47.5% |
| Top 5,000 | 64.0% |
| Top 10,000 | 71.5% |
Key Findings
- Zipf Compliance: RΒ²=0.9983 indicates excellent adherence to Zipf's law
- High Frequency Dominance: Top 100 words cover 29.2% of corpus
- Long Tail: 855,837 words needed for remaining 28.5% 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 | 0.7990 | 0.3752 | N/A | N/A |
| mono_64d | 64 | 0.7419 | 0.2943 | N/A | N/A |
| mono_128d | 128 | 0.6113 | 0.2735 | N/A | N/A |
| aligned_32d | 32 | 0.7990 π | 0.3713 | 0.2440 | 0.6400 |
| aligned_64d | 64 | 0.7419 | 0.2911 | 0.4700 | 0.8320 |
| aligned_128d | 128 | 0.6113 | 0.2771 | 0.6240 | 0.8980 |
Key Findings
- Best Isotropy: aligned_32d with 0.7990 (more uniform distribution)
- Semantic Density: Average pairwise similarity of 0.3137. Lower values indicate better semantic separation.
- Alignment Quality: Aligned models achieve up to 62.4% 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 | -0.514 | 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 |
saccharina, staΕΎem, sieversia |
-a |
appleton, aromatika, antipatros |
-ma |
macv, mahajangu, manfredonija |
-m |
meΕ‘etari, midp, megasten |
-k |
konfederacije, kumarom, karlovaΔku |
-p |
prostalih, portulani, panopticum |
-b |
breviarium, bandaΕ‘ica, botticellija |
-t |
terpenoide, tamnocrvenkast, teregova |
Productive Suffixes
| Suffix | Examples |
|---|---|
-a |
saccharina, sieversia, premaΕ‘enima |
-e |
konfederacije, terpenoide, elaboracije |
-i |
portulani, vori, meΕ‘etari |
-m |
staΕΎem, panopticum, breviarium |
-u |
nahalu, ikonostasu, karlovaΔku |
-om |
kumarom, samarom, kokom |
-s |
servas, winos, clupeoides |
-o |
dezorijentirano, dsno, papio |
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 |
|---|---|---|---|
anov |
1.67x | 1068 contexts | anove, hanov, banov |
cije |
2.00x | 238 contexts | cijel, cijev, cijem |
acij |
1.85x | 273 contexts | lacij, acije, racij |
ijel |
1.69x | 293 contexts | cijel, ijele, dijel |
ansk |
1.35x | 1078 contexts | ansko, anski, dansk |
ljen |
1.42x | 618 contexts | kljen, pljen, ljeni |
avlj |
1.51x | 394 contexts | javlja, vavlje, lavlji |
elik |
1.71x | 176 contexts | melik, jelik, Γ§elik |
ijsk |
1.36x | 538 contexts | hijska, bijsku, kijski |
egov |
1.60x | 208 contexts | negov, begov, egove |
novn |
1.84x | 95 contexts | onovno, pnovno, ponovno |
telj |
1.66x | 146 contexts | atelj, artelj, stelje |
6.4 Affix Compatibility (Co-occurrence)
This table shows which prefixes and suffixes most frequently co-occur on the same stems, revealing the 'stacking' rules of the language's morphology.
| Prefix | Suffix | Frequency | Examples |
|---|---|---|---|
-p |
-a |
202 words | prekorava, petruΕ‘a |
-s |
-a |
178 words | suverenizma, sritna |
-p |
-e |
114 words | produbljavanje, perenense |
-k |
-a |
106 words | kanatima, koruΕ‘ka |
-p |
-i |
97 words | protoni, poigravati |
-a |
-a |
93 words | almanusa, alΕΎirka |
-s |
-i |
88 words | svesokolski, saeculi |
-d |
-a |
88 words | disonancija, denzimetrija |
-b |
-a |
85 words | barista, bhattija |
-p |
-m |
85 words | perfectum, punicum |
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 |
|---|---|---|---|
| auchenipteridae | auchenipterid-a-e |
7.5 | a |
| neprikazane | neprikaz-a-ne |
7.5 | a |
| arunkumar | arunkum-a-r |
7.5 | a |
| intervjuua | intervju-u-a |
7.5 | u |
| domeciidae | domeciid-a-e |
7.5 | a |
| ventricosus | ventrico-s-us |
7.5 | s |
| codiaceae | codiace-a-e |
7.5 | a |
| anastasiju | anastas-i-ju |
7.5 | i |
| sistemsko | sistem-s-ko |
7.5 | s |
| pattalophyllia | pattalophyll-i-a |
7.5 | i |
| studenske | studen-s-ke |
7.5 | s |
| modernizirani | modernizir-a-ni |
7.5 | a |
| filtrirani | filtrir-a-ni |
7.5 | a |
| postavljane | postavlj-a-ne |
7.5 | a |
| coriariaceae | coriariace-a-e |
7.5 | a |
6.6 Linguistic Interpretation
Automated Insight: The language Croatian 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 (4.59x) |
| N-gram | 2-gram | Lowest perplexity (314) |
| Markov | Context-4 | Highest predictability (95.5%) |
| 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 10:10:35



















