No Single Tokenizer Feature Reliably Predicts Downstream Language Model Performance
Organizations: EleutherAI · University of Basel · National Taiwan University of Science and Technology · Academia Sinica ·
Abstract
Tokenization is a critical component of the language modeling pipeline, but it is poorly understood. Tokenizers can impact downstream performance, but there is currently mixed evidence about which tokenizer features predict a better language model without requiring a full training run. In this paper, we analyze approximately 200 language models trained on nine different languages. We evaluate both models and their tokenizers and test whether there is a relationship between any proposed intrinsic tokenizer evaluations and model performance, as measured by a wide variety of benchmarks. Despite the quantity and variety of proposed intrinsic tokenizer metrics, we find that none consistently predicts downstream performance across model families, tasks, and languages. This motivates the need for novel tokenizer evaluation metrics and approaches. We propose novel linguistically grounded metric introduced in this work shows that new metrics can capture aspects of tokenizer quality that existing metrics miss, though their predictive power is likely to vary across model families, languages, and tasks.
Figures & tables
| Language | (std) | BE (std) | |
|---|---|---|---|
| English | 1.06 (0.22) | 0.77 (0.30) | 2.44 |
| Italian | 1.42 (0.20) | 0.81 (0.26) | 2.42 |
| Turkish | 1.70 (0.21) | 0.84 (0.30) | 2.35 |
| Farsi | 3.09 (0.34) | 0.76 (0.41) | 6.31 |
| Chinese | 1.93 (0.09) | 1.11 (0.50) | 6.51 |
Appendix figures & tables36 assets
Supplementary material from the paper’s appendix.
Appendix
| Category | Metric | Description | |
| Information Theoretic | renyi_efficiency_a_* | Rényi entropy ( ) | |
| unigram_entropy | Shannon entropy of token distribution | ||
| compression_ratio | Normalization units per token | ||
| bigrams_entropy | Entropy over token bigrams | ||
| fertility | Tokens per normalization unit | ||
| encoding_length † | Total tokens to encode corpus |
| Vocab Constr | Init Voc | Pre-tok | Segment |
|---|---|---|---|
| PathPieceL | BPE | FirstSpace | PathPieceL |
| Unigram | FirstSpace | ||
| -gram | FirstSpDigit | ||
| -gram | FirstSpace | ||
| Unigram | FirstSpace | Likelihood | |
| Greedy |
| English | Thai | Urdu | Amharic † | Vietnamese | |
| Byte Premium | 1.00 | 2.74 | 1.71 | 1.72 | 1.35 |
| English reference (7B tokens) | 31.11 GiB | ||||
| BP-scaled target | 31.11 GiB | 85.25 GiB | 53.20 GiB | 53.52 GiB | 42.00 GiB |
| FineWeb2 Raw Available | – | 321.88 GiB | 22.48 GiB | 2.69 GiB | 402.69 GiB |
| Tokenized Data Size | 31.11 GiB | 85 GiB | 12.54 GiB | – | 38.27 GiB |
| Coverage | 100% | 100% | 24% | 5% | 91% |
| VISTA-130M | VISTA-350M | |
| Languages | English, Thai, Urdu, Amharic, Vietnamese | English, Thai, Urdu, Vietnamese |
| Tokenizers | BPE, Unigram | BPE, Unigram |
| Vocabulary sizes | 8192, 16384, 32768, 49152, 65536, 81920, 98304, 114688 | 8192, 98304 |
| Total runs |
| Language (tag) | BP-scaled GB | Raw GB |
|---|---|---|
| English (eng_latn) | 1 | 1.00 |
| Thai (tha_thai) | 1 | 2.74 |
| Urdu (urd_arab) | 1 | 1.71 |
| Amharic (amh_ethi) | 1 | 1.72 |
| Vietnamese (vie_latn) | 1 | 1.35 |
| Configuration | VISTA-130M | VISTA-350M |
|---|---|---|
| Model Architecture | ||
| Model Type | LLaMA 1 | |
| Hidden Size ( ) | 768 | 1024 |
| Intermediate Size ( ) | 2048 | 2736 |
| Number of Hidden Layers | 12 | 24 |
| Number of Attention Heads | 12 | 16 |
| Task Type | Benchmark | Language(s) |
| Linguistic | CoLA ( Warstadt et al., 2019 ) | English |
| BLiMP ( Warstadt et al., 2020 ) | English | |
| ZhoBLiMP ( Liu et al., 2024 ) | Chinese | |
| TurBLiMP ( Başar et al., 2025 ) | Turkish | |
| MultiBLiMP ( Jumelet et al., 2026 ) | English, Italian, Farsi, Turkish | |
| NLU | SuperGLUE ( Wang et al., 2019 ) | English |
| Task Type | Benchmark |
|---|---|
| Linguistic | SuperGLUE ( Wang et al., 2019 ) |
| Winogrande ( Sakaguchi et al., 2020 ) | |
| BLiMP ( Warstadt et al., 2020 ) | |
| MultiBLiMP ( Jumelet et al., 2026 ) | |
| World Knowledge/ Semantics | COMPS ( Misra et al., 2023 ) |
| ANALOGICAL ( Wijesiriwardene et al., 2023 ) |
| Task Type | Benchmark | Language(s) |
| Perplexity | FLORES NLLB Team et al. (2022) | Amharic, English, Thai, Urdu, Vietnamese |
| Linguistic | BLiMP Warstadt et al. (2020) | English |
| MultiBLiMP Jumelet et al. (2026) | Amharic, English, Urdu | |
| NLU | SuperGLUE Wang et al. (2019) | English |
| Winograd_th | Thai | |
| Winogrande Sakaguchi et al. (2020) | English |
| Tokenizer | Aya | Qwen | BLOOM | Comma | XGLM | BERT | ByT5 | Gemma | GPT-2 | Llama | Phi | Tekken | GPT-4o | TokenMonster | Chance |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| GLUE | 0.448 | 0.446 | 0.420 | 0.430 | 0.397 | 0.402 | 0.394 | 0.459 | 0.418 | 0.394 | 0.414 | 0.451 | 0.429 | 0.418 | 0.45 |
| Winogrande | 0.584 | 0.579 | 0.586 | 0.560 | 0.577 | 0.525 | 0.553 | 0.568 | 0.542 | 0.593 | 0.586 | 0.576 | 0.582 | 0.539 | 0.50 |
| BLiMP | 0.835 | 0.836 | 0.833 | 0.843 | 0.835 | 0.833 | 0.838 | 0.838 | 0.827 | 0.844 | 0.836 | 0.837 | 0.844 | 0.787 | 0.50 |
| MultiBLiMP | 0.990 | 0.992 | 0.992 | 0.984 | 0.988 | 0.994 | 0.990 | 0.988 | 0.990 | 0.988 | 0.994 | 0.992 | 0.990 | 0.982 | 0.50 |
| EWoK | 0.629 | 0.623 | 0.622 | 0.608 | 0.615 | 0.563 | 0.619 | 0.627 | 0.615 | 0.632 | 0.614 | 0.614 | 0.623 | 0.600 | 0.50 |
| PIQA | 0.729 | 0.724 | 0.726 | 0.722 | 0.726 | 0.669 | 0.696 | 0.739 | 0.716 | 0.724 | 0.711 | 0.712 | 0.721 | 0.702 | 0.50 |
| Tokenizer | Aya | Qwen | BLOOM | Comma | XGLM | BERT | ByT5 | Gemma | GPT-2 | Llama | Phi | Tekken | GPT-4o | TokenMonster | Chance |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ZhoBLiMP | 0.872 | 0.872 | 0.876 | 0.879 | 0.871 | 0.871 | 0.860 | 0.876 | 0.879 | 0.879 | 0.882 | 0.874 | 0.871 | 0.891 | 0.50 |
| XWinograd | 0.724 | 0.708 | 0.690 | 0.738 | 0.712 | 0.687 | 0.716 | 0.732 | 0.730 | 0.722 | 0.732 | 0.690 | 0.744 | 0.702 | 0.50 |
| XCOMPS | 0.667 | 0.675 | 0.703 | 0.670 | 0.668 | 0.702 | 0.686 | 0.635 | 0.686 | 0.665 | 0.690 | 0.676 | 0.667 | 0.690 | 0.50 |
| XCOPA | 0.642 | 0.634 | 0.630 | 0.620 | 0.624 | 0.610 | 0.596 | 0.644 | 0.616 | 0.648 | 0.634 | 0.644 | 0.642 | 0.624 | 0.50 |
| XStoryCloze | 0.592 | 0.592 | 0.595 | 0.578 | 0.600 | 0.567 | 0.561 | 0.592 | 0.567 | 0.587 | 0.572 | 0.590 | 0.584 | 0.568 | 0.50 |
| XQuAD | 0.057 | 0.007 | 0.034 | 0.006 | 0.000 | 0.000 | 0.051 | 0.013 | 0.035 | 0.020 | 0.011 | 0.015 | 0.000 | 0.003 | 0.00 |
| Tokenizer | Aya | Qwen | BLOOM | Comma | XGLM | BERT | ByT5 | Gemma | GPT-2 | Llama | Phi | Tekken | GPT-4o | TokenMonster | Chance |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Winogrande | 0.533 | 0.519 | 0.547 | 0.488 | 0.509 | 0.483 | 0.516 | 0.511 | 0.506 | 0.500 | 0.516 | 0.501 | 0.501 | 0.502 | 0.50 |
| MultiBLiMP | 0.959 | 0.950 | 0.958 | 0.964 | 0.962 | 0.961 | 0.960 | 0.954 | 0.952 | 0.943 | 0.945 | 0.947 | 0.949 | 0.959 | 0.50 |
| TurBLiMP | 0.831 | 0.840 | 0.827 | 0.840 | 0.836 | 0.843 | 0.831 | 0.835 | 0.841 | 0.835 | 0.833 | 0.835 | 0.829 | 0.805 | 0.50 |
| XCOMPS | 0.656 | 0.662 | 0.651 | 0.654 | 0.680 | 0.675 | 0.655 | 0.644 | 0.662 | 0.666 | 0.641 | 0.662 | 0.660 | 0.612 | 0.50 |
| XCOPA | 0.632 | 0.642 | 0.610 | 0.614 | 0.638 | 0.596 | 0.616 | 0.622 | 0.636 | 0.642 | 0.610 | 0.630 | 0.626 | 0.622 | 0.50 |
| Global PIQA | 0.510 | 0.550 | 0.530 | 0.510 | 0.480 | 0.500 | 0.520 | 0.530 | 0.530 | 0.470 | 0.520 | 0.520 | 0.530 | 0.510 | 0.50 |
| Tokenizer | Aya | Qwen | BLOOM | Comma | XGLM | BERT | ByT5 | Gemma | GPT-2 | Llama | Phi | Tekken | GPT-4o | TokenMonster | Chance |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| MultiBLiMP | 0.930 | 0.941 | 0.929 | 0.948 | 0.974 | 0.968 | 0.926 | 0.876 | 0.944 | 0.899 | 0.942 | 0.908 | 0.900 | 0.946 | 0.50 |
| XCOMPS | 0.659 | 0.665 | 0.628 | 0.643 | 0.677 | 0.674 | 0.660 | 0.653 | 0.663 | 0.656 | 0.655 | 0.655 | 0.655 | 0.673 | 0.50 |
| FarsTail | 0.338 | 0.336 | 0.331 | 0.347 | 0.348 | 0.332 | 0.337 | 0.325 | 0.333 | 0.336 | 0.325 | 0.362 | 0.328 | 0.332 | 0.33 |
| MultiLoKo | 0.136 | 0.128 | 0.064 | 0.076 | 0.024 | 0.000 | 0.008 | 0.040 | 0.080 | 0.096 | 0.108 | 0.124 | 0.008 | 0.004 | 0.00 |
| INCLUDE | 0.223 | 0.276 | 0.217 | 0.268 | 0.241 | 0.221 | 0.230 | 0.276 | 0.276 | 0.246 | 0.261 | 0.228 | 0.276 | 0.241 | 0.25 |
| SynTran | 0.018 | 0.013 | 0.007 | 0.007 | 0.000 | 0.000 | 0.008 | 0.006 | 0.006 | 0.007 | 0.010 | 0.012 | 0.007 | 0.002 | 0.00 |
| Tokenizer | Aya | Qwen | BLOOM | Comma | XGLM | BERT | ByT5 | Gemma | GPT-2 | Llama | Phi | Tekken | GPT-4o | TokenMonster | Chance |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ITA-Bench | 0.329 | 0.318 | 0.327 | 0.323 | 0.338 | 0.307 | 0.308 | 0.338 | 0.322 | 0.334 | 0.318 | 0.316 | 0.324 | 0.316 | 0.35 |
| ARC Challenge | 0.283 | 0.277 | 0.284 | 0.292 | 0.284 | 0.245 | 0.257 | 0.289 | 0.266 | 0.285 | 0.285 | 0.297 | 0.297 | 0.260 | 0.25 |
| ARC Easy | 0.560 | 0.544 | 0.547 | 0.542 | 0.564 | 0.385 | 0.538 | 0.564 | 0.538 | 0.556 | 0.509 | 0.554 | 0.567 | 0.523 | 0.25 |
| HellaSwag | 0.395 | 0.390 | 0.393 | 0.378 | 0.396 | 0.375 | 0.373 | 0.399 | 0.382 | 0.393 | 0.381 | 0.394 | 0.394 | 0.357 | 0.25 |
| PIQA | 0.654 | 0.652 | 0.639 | 0.637 | 0.654 | 0.633 | 0.619 | 0.642 | 0.642 | 0.640 | 0.631 | 0.657 | 0.650 | 0.633 | 0.50 |
| Winogrande | 0.610 | 0.604 | 0.609 | 0.599 | 0.606 | 0.553 | 0.613 | 0.612 | 0.607 | 0.605 | 0.606 | 0.593 | 0.601 | 0.581 | 0.50 |
| BPE | PPL- | PPL- | PPL- | PPR- | PPR- | PPR- | SAGE- | SAGE- | SAGE- | SAGE- | UNI- | UNI- | UNI- | WP | Chance | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ng-fs | ng-fsd | uni-fs | fsd | none | sd | bpe | ng-fs | ng-fsd | uni | gr | lk | ppl | ||||
| GLUE | 0.478 | 0.452 | 0.475 | 0.463 | 0.457 | 0.468 | 0.480 | 0.461 | 0.482 | 0.458 | 0.451 | 0.471 | 0.462 | 0.463 | 0.466 | 0.45 |
| Winogrande | 0.505 | 0.507 | 0.507 | 0.507 | 0.529 | 0.507 | 0.515 | 0.522 | 0.530 | 0.541 | 0.515 | 0.507 | 0.524 | 0.522 | 0.521 | 0.50 |
| BLiMP | 0.824 | 0.711 | 0.730 | 0.757 | 0.741 | 0.758 | 0.790 | 0.817 | 0.811 | 0.799 | 0.814 | 0.822 | 0.823 | 0.739 | 0.829 | 0.50 |
| MultiBLiMP | 0.983 | 0.916 | 0.919 | 0.899 | 0.917 | 0.951 | 0.983 | 0.988 | 0.986 | 0.981 | 0.975 | 0.987 | 0.981 | 0.887 | 0.979 | 0.50 |
| EWoK | 0.569 | 0.518 | 0.519 | 0.538 | 0.515 | 0.525 | 0.556 | 0.570 | 0.565 | 0.564 | 0.569 | 0.564 | 0.568 | 0.535 | 0.568 | 0.50 |
| BPE | PPL- | PPL- | PPL- | PPR- | PPR- | PPR- | SAGE- | SAGE- | SAGE- | SAGE- | UNI- | UNI- | UNI- | WP | Chance | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ng-fs | ng-fsd | uni-fs | fsd | none | sd | bpe | ng-fs | ng-fsd | uni | gr | lk | ppl | ||||
| GLUE | 0.474 | 0.456 | 0.458 | 0.456 | 0.466 | 0.458 | 0.479 | 0.462 | 0.478 | 0.469 | 0.459 | 0.455 | 0.470 | 0.455 | 0.460 | 0.45 |
| Winogrande | 0.536 | 0.507 | 0.497 | 0.507 | 0.527 | 0.513 | 0.488 | 0.522 | 0.503 | 0.507 | 0.517 | 0.524 | 0.496 | 0.496 | 0.520 | 0.50 |
| BLiMP | 0.825 | 0.750 | 0.732 | 0.748 | 0.736 | 0.748 | 0.738 | 0.819 | 0.802 | 0.793 | 0.814 | 0.821 | 0.822 | 0.735 | 0.822 | 0.50 |
| MultiBLiMP | 0.977 | 0.919 | 0.922 | 0.865 | 0.918 | 0.951 | 0.927 | 0.990 | 0.984 | 0.974 | 0.984 | 0.983 | 0.982 | 0.869 | 0.982 | 0.50 |
| EWoK | 0.570 | 0.518 | 0.524 | 0.533 | 0.527 | 0.536 | 0.530 | 0.575 | 0.574 | 0.557 | 0.560 | 0.572 | 0.571 | 0.530 | 0.577 | 0.50 |
| BPE | PPL- | PPL- | PPL- | PPR- | PPR- | PPR- | SAGE- | SAGE- | SAGE- | SAGE- | UNI- | UNI- | UNI- | WP | Chance | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ng-fs | ng-fsd | uni-fs | fsd | none | sd | bpe | ng-fs | ng-fsd | uni | gr | lk | ppl | ||||
| GLUE | 0.474 | 0.455 | 0.455 | 0.463 | 0.461 | 0.459 | 0.456 | 0.451 | 0.460 | 0.436 | 0.459 | 0.444 | 0.462 | 0.467 | 0.464 | 0.45 |
| Winogrande | 0.522 | 0.501 | 0.510 | 0.503 | 0.508 | 0.525 | 0.520 | 0.515 | 0.512 | 0.519 | 0.508 | 0.500 | 0.512 | 0.505 | 0.510 | 0.50 |
| BLiMP | 0.810 | 0.727 | 0.738 | 0.746 | 0.748 | 0.749 | 0.802 | 0.814 | 0.809 | 0.779 | 0.821 | 0.817 | 0.822 | 0.738 | 0.826 | 0.50 |
| MultiBLiMP | 0.971 | 0.919 | 0.910 | 0.856 | 0.925 | 0.927 | 0.975 | 0.987 | 0.982 | 0.969 | 0.987 | 0.978 | 0.983 | 0.869 | 0.982 | 0.50 |
| EWoK | 0.566 | 0.518 | 0.518 | 0.537 | 0.522 | 0.527 | 0.556 | 0.566 | 0.574 | 0.544 | 0.575 | 0.583 | 0.557 | 0.543 | 0.563 | 0.50 |
| Tokenizer Type | Vocab Size | AfriMMLU | Belebele | Global MMLU | MultiBLiMP | Global PIQA | Avg. |
|---|---|---|---|---|---|---|---|
| BPE | 8192 | 0.222 | 0.253 | 0.236 | 0.946 | 0.520 | 0.402 |
| 16384 | 0.232 | 0.254 | 0.249 | 0.955 | 0.470 | 0.402 | |
| 32768 | 0.230 | 0.268 | 0.251 | 0.893 | 0.500 | 0.399 | |
| 49152 | 0.240 | 0.253 | 0.253 | 1.000 | 0.450 | 0.408 | |
| 65536 | 0.228 | 0.260 | 0.260 | 0.973 | 0.480 | 0.410 | |
| 81920 | 0.248 | 0.257 | 0.248 | 0.973 | 0.470 | 0.407 |
| Tokenizer | Vocab | ARC-C | ARC-E | Belebele | BLiMP | COPA | Global | Hella | Multi | Winogrande | XWinograd | Global | Super | Avg. |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Type | Size | MMLU | Swag | BLiMP | PIQA | GLUE | ||||||||
| BPE | 8192 | 0.191 | 0.277 | 0.273 | 0.586 | 0.580 | 0.232 | 0.266 | 0.818 | 0.488 | 0.523 | 0.520 | 0.463 | 0.419 |
| 16384 | 0.182 | 0.269 | 0.252 | 0.600 | 0.580 | 0.230 | 0.259 | 0.783 | 0.479 | 0.514 | 0.450 | 0.434 | 0.405 | |
| 32768 | 0.188 | 0.280 | 0.258 | 0.613 | 0.520 | 0.229 | 0.255 | 0.832 | 0.511 | 0.505 | 0.550 | 0.439 | 0.416 | |
| 49152 | 0.181 | 0.270 | 0.248 | 0.654 | 0.550 | 0.229 | 0.255 | 0.810 | 0.503 | 0.508 | 0.480 | 0.435 | 0.412 | |
| 65536 | 0.177 | 0.275 | 0.251 | 0.640 | 0.540 | 0.230 | 0.255 | 0.838 | 0.505 | 0.497 | 0.470 | 0.447 | 0.412 |
| Tokenizer | Vocab | GLUE | Wino- | BLiMP | Multi | EWoK | PIQA | Hella | PROST | MMLU | BBH | XQuAD | Bele- | COMPS | ANA- | Avg. |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Type | Size | grande | BLiMP | Swag | bele | LOGICAL | ||||||||||
| BPE | 8192 | 0.469 | 0.499 | 0.593 | 0.861 | 0.525 | 0.612 | 0.289 | 0.269 | 0.233 | 0.059 | 0.000 | 0.288 | 0.540 | 0.398 | 0.402 |
| 32768 | 0.456 | 0.501 | 0.624 | 0.825 | 0.530 | 0.595 | 0.294 | 0.217 | 0.231 | 0.144 | 0.005 | 0.301 | 0.526 | 0.368 | 0.401 | |
| 65536 | 0.466 | 0.516 | 0.579 | 0.792 | 0.535 | 0.606 | 0.292 | 0.252 | 0.229 | 0.163 | 0.008 | 0.321 | 0.551 | 0.377 | 0.406 | |
| 98304 | 0.469 | 0.497 | 0.629 | 0.855 | 0.540 | 0.630 | 0.301 | 0.272 | 0.230 | 0.181 | 0.001 | 0.293 | 0.575 | 0.448 | 0.423 | |
| Unigram | 8192 | 0.413 | 0.490 | 0.582 | 0.852 | 0.512 | 0.582 | 0.283 | 0.244 | 0.230 | 0.090 | 0.000 | 0.298 | 0.512 | 0.362 | 0.389 |
| Tokenizer | Vocab | ARC | Belebele | Global | HellaSwag | INCLUDE | ViQuAD | VMLU | XCOPA | XNLI | Global | Avg. |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Type | Size | MMLU | PIQA | |||||||||
| bpe | 8192 | 0.209 | 0.256 | 0.245 | 0.266 | 0.255 | 0.006 | 0.249 | 0.544 | 0.343 | 0.520 | 0.285 |
| 16384 | 0.206 | 0.228 | 0.248 | 0.260 | 0.253 | 0.016 | 0.270 | 0.540 | 0.341 | 0.560 | 0.288 | |
| 32768 | 0.206 | 0.239 | 0.246 | 0.262 | 0.260 | 0.031 | 0.277 | 0.532 | 0.356 | 0.580 | 0.294 | |
| 49152 | 0.220 | 0.239 | 0.249 | 0.259 | 0.253 | 0.021 | 0.263 | 0.530 | 0.337 | 0.600 | 0.293 | |
| 65536 | 0.214 | 0.246 | 0.241 | 0.259 | 0.273 | 0.001 | 0.290 | 0.534 | 0.341 | 0.550 | 0.290 |
| Tokenizer | Vocab | Belebele | Winograd | XCOPA | MMLU | Global PIQA | Avg. |
|---|---|---|---|---|---|---|---|
| Type | Size | ||||||
| BPE | 8192 | 0.259 | 0.470 | 0.536 | 0.082 | 0.540 | 0.377 |
| 16384 | 0.261 | 0.540 | 0.556 | 0.083 | 0.500 | 0.388 | |
| 32768 | 0.251 | 0.530 | 0.544 | 0.080 | 0.540 | 0.389 | |
| 49152 | 0.246 | 0.540 | 0.540 | 0.084 | 0.530 | 0.388 | |
| 65536 | 0.254 | 0.516 | 0.562 | 0.082 | 0.510 | 0.385 |
| Tokenizer Type | Vocab Size | Belebele | MMLU ProX | Global PIQA | Avg. |
|---|---|---|---|---|---|
| BPE | 8192 | 0.249 | 0.085 | 0.590 | 0.308 |
| 16384 | 0.259 | 0.083 | 0.620 | 0.321 | |
| 32768 | 0.254 | 0.086 | 0.620 | 0.320 | |
| 49152 | 0.254 | 0.086 | 0.610 | 0.317 | |
| 65536 | 0.262 | 0.086 | 0.610 | 0.319 | |
| 81920 | 0.244 | 0.087 | 0.580 | 0.304 |
| All Tasks | With Exclusions | |||||||
|---|---|---|---|---|---|---|---|---|
| Metric | sig | sig | ||||||
| AUC_zipf | 0.03 | 0.17 | 0.26 | 0.23 | 0.44 | |||
| avg_chars_per_token | 0.83 | 0.98 | 0.00 | 0.02 | ||||
| avg_token_rank | 0.03 | 0.16 | 0.26 | 0.70 | 0.94 | |||
| avg_tokens_per_line | 0.02 | 0.36 | 0.45 | 0.05 | 0.53 | 0.84 | ||
| bigrams_entropy | 0.00 | 0.89 | 0.98 | 0.23 | 0.44 | |||
| Task Group | Language | p-value | |
|---|---|---|---|
| LMentry | English | -0.179 | 0.5408 |
| TokSuite | English | 0.341 | 0.0292 |
| StringBench | English | 0.163 | 0.4806 |
| TokSuite | Chinese | 0.114 | 0.6990 |
| EXECUTE | Chinese | 0.267 | 0.0663 |
| TokSuite | Farsi | 0.433 | 0.1224 |
| Metric 1 | Metric 2 | adj_r2_m1 | adj_r2_m2 | adj_r2_joint | r2_gain | p-value | |
|---|---|---|---|---|---|---|---|
| 1 | leading_space_tokens_count | u_mean_log_weighted | 0.158 | 0.000 | 0.170 | 0.012 | |
| 2 | final_tokens_count | used_in_merges | 0.053 | 0.110 | 0.168 | 0.058 | |
| 3 | leading_space_tokens_count | u_mean | 0.158 | 0.002 | 0.167 | 0.009 | |
| 4 | leading_space_tokens_count | u_median | 0.158 | 0.003 | 0.165 | 0.007 | |
| 5 | leading_space_tokens_count | u_mean_weighted | 0.158 | 0.001 | 0.165 | 0.007 | |
| 6 | leading_space_tokens_count | AUC_zipf | 0.124 | 0.011 | 0.157 | 0.033 |
| Metric 1 | Metric 2 | adj_r2_m1 | adj_r2_m2 | adj_r2_joint | r2_gain | p-value | |
|---|---|---|---|---|---|---|---|
| 1 | leading_space_tokens_count | u_mean_log_weighted | 0.074 | 0.000 | 0.085 | 0.012 | |
| 2 | leading_space_tokens_count | u_mean_weighted | 0.074 | 0.000 | 0.084 | 0.010 | |
| 3 | leading_space_tokens_count | u_mean | 0.074 | 0.002 | 0.083 | 0.009 | |
| 4 | leading_space_tokens_count | u_median | 0.074 | 0.003 | 0.082 | 0.008 | |
| 5 | leading_space_tokens_count | compression_ratio | 0.072 | 0.000 | 0.073 | 0.000 | |
| 6 | leading_space_tokens_count | encoding_length | 0.072 | 0.000 | 0.072 | 0.000 |