Instructions to use Nj-1111/Copernicus-Tokenizer with libraries, inference providers, notebooks, and local apps. Follow these links to get started.
- Libraries
- Transformers
How to use Nj-1111/Copernicus-Tokenizer with Transformers:
# Load model directly from transformers import AutoModel model = AutoModel.from_pretrained("Nj-1111/Copernicus-Tokenizer", dtype="auto") - Notebooks
- Google Colab
- Kaggle
Update README.md
Browse files
README.md
CHANGED
|
@@ -10,63 +10,520 @@ library_name: transformers
|
|
| 10 |
|
| 11 |
# Copernicus Tokenizer
|
| 12 |
|
| 13 |
-
|
| 14 |
-
spanning natural language, code, mathematics, and scientific text.
|
| 15 |
|
| 16 |
-
|
| 17 |
-
|---|---|
|
| 18 |
-
| Algorithm | Byte-Pair Encoding (BPE) |
|
| 19 |
-
| Vocabulary size | 55,812 |
|
| 20 |
-
| Merges | 55,725 |
|
| 21 |
-
| Byte encoding | GPT-2 byte-level (256-char alphabet) |
|
| 22 |
-
| Min frequency | 3 |
|
| 23 |
|
| 24 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 25 |
|
| 26 |
```python
|
| 27 |
from transformers import AutoTokenizer
|
| 28 |
|
| 29 |
-
tokenizer = AutoTokenizer.from_pretrained(
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 30 |
|
| 31 |
-
|
| 32 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 33 |
```
|
| 34 |
|
| 35 |
-
|
|
|
|
|
|
|
| 36 |
|
| 37 |
```python
|
| 38 |
from transformers import PreTrainedTokenizerFast
|
| 39 |
|
| 40 |
-
tokenizer = PreTrainedTokenizerFast.from_pretrained(
|
|
|
|
|
|
|
| 41 |
|
| 42 |
inputs = tokenizer(
|
| 43 |
-
[
|
|
|
|
|
|
|
|
|
|
| 44 |
truncation=True,
|
| 45 |
max_length=2048,
|
| 46 |
padding="max_length",
|
| 47 |
-
return_tensors="pt"
|
| 48 |
)
|
| 49 |
```
|
| 50 |
|
| 51 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 52 |
|
| 53 |
-
|
| 54 |
-
|
| 55 |
-
|
| 56 |
-
|
| 57 |
-
|
| 58 |
-
|
| 59 |
-
|
| 60 |
-
| `<\|im_start\|>` / `<\|im_end\|>` | ChatML-style markers |
|
| 61 |
-
| `<\|tool_call\|>` / `<\|tool_result\|>` | Tool use |
|
| 62 |
|
| 63 |
-
##
|
| 64 |
|
| 65 |
-
|
| 66 |
-
|
| 67 |
-
|
| 68 |
-
|
| 69 |
-
| Mathematics | MATH dataset, arXiv |
|
| 70 |
-
| Science | PubMed, S2ORC |
|
| 71 |
|
| 72 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 10 |
|
| 11 |
# Copernicus Tokenizer
|
| 12 |
|
| 13 |
+
## Overview
|
|
|
|
| 14 |
|
| 15 |
+
**Copernicus Tokenizer** is a domain-general Byte-Pair Encoding (BPE) tokenizer trained from scratch for large language models operating across heterogeneous reasoning domains, including:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 16 |
|
| 17 |
+
* Natural language
|
| 18 |
+
* Source code
|
| 19 |
+
* Mathematical notation
|
| 20 |
+
* Scientific literature
|
| 21 |
+
* Symbol-heavy technical text
|
| 22 |
+
* Structured chat and tool-use formatting
|
| 23 |
+
|
| 24 |
+
The tokenizer was designed to prioritize:
|
| 25 |
+
|
| 26 |
+
1. Reversible decoding integrity
|
| 27 |
+
2. Structural fidelity for code
|
| 28 |
+
3. Mathematical symbol preservation
|
| 29 |
+
4. Vocabulary efficiency under mixed-domain corpora
|
| 30 |
+
5. Robust multilingual byte-level coverage
|
| 31 |
+
|
| 32 |
+
The tokenizer uses GPT-2-style byte-level pretokenization combined with custom BPE merge training over approximately **3.96 million documents** sourced from code, scientific literature, mathematics, and natural language corpora.
|
| 33 |
+
|
| 34 |
+
---
|
| 35 |
+
|
| 36 |
+
# Technical Specifications
|
| 37 |
+
|
| 38 |
+
| Parameter | Value | | |
|
| 39 |
+
| ----------------------- | ------------------------------- | --------- | -- |
|
| 40 |
+
| Tokenizer Type | Byte-Pair Encoding (BPE) | | |
|
| 41 |
+
| Pretokenization | GPT-2 byte-level | | |
|
| 42 |
+
| Vocabulary Size | 55,812 | | |
|
| 43 |
+
| Merge Operations | 55,725 | | |
|
| 44 |
+
| Base Alphabet | 256-byte alphabet | | |
|
| 45 |
+
| Minimum Merge Frequency | 3 | | |
|
| 46 |
+
| Unknown Token | `< | unk | >` |
|
| 47 |
+
| Padding Token | `< | pad | >` |
|
| 48 |
+
| BOS/EOS Token | `< | endoftext | >` |
|
| 49 |
+
| Maximum Sequence Length | 4096 | | |
|
| 50 |
+
| Training Documents | ~3.96M | | |
|
| 51 |
+
| Intended Use | General-purpose LLM pretraining | | |
|
| 52 |
+
|
| 53 |
+
---
|
| 54 |
+
|
| 55 |
+
# Design Goals
|
| 56 |
+
|
| 57 |
+
The tokenizer was explicitly optimized for mixed-domain reasoning workloads rather than purely conversational English.
|
| 58 |
+
|
| 59 |
+
Core objectives included:
|
| 60 |
+
|
| 61 |
+
* Preserving programming-language structure
|
| 62 |
+
* Maintaining reversible decode behavior
|
| 63 |
+
* Improving compression over legacy GPT-2 BPEs
|
| 64 |
+
* Supporting LaTeX and symbolic mathematics
|
| 65 |
+
* Avoiding excessive fragmentation of scientific terminology
|
| 66 |
+
* Supporting tool-calling and agentic prompting formats
|
| 67 |
+
|
| 68 |
+
---
|
| 69 |
+
|
| 70 |
+
# Supported Domains
|
| 71 |
+
|
| 72 |
+
| Domain | Optimization Goal |
|
| 73 |
+
| ---------------- | ------------------------------------------------ |
|
| 74 |
+
| Natural Language | Compression efficiency + morphology preservation |
|
| 75 |
+
| Source Code | Syntax stability + AST-safe decoding |
|
| 76 |
+
| Mathematics | LaTeX atomicity + operator preservation |
|
| 77 |
+
| Scientific Text | Technical terminology coverage |
|
| 78 |
+
| Chat/Agents | Structured conversational formatting |
|
| 79 |
+
| Unicode Text | Full byte-level reversibility |
|
| 80 |
+
|
| 81 |
+
---
|
| 82 |
+
|
| 83 |
+
# Special Tokens
|
| 84 |
+
|
| 85 |
+
| Token | Purpose | | | | |
|
| 86 |
+
| ---------------------- | --------------------------- | ----- | --------------- | -- | ----------------- |
|
| 87 |
+
| `< | endoftext | >` | BOS / EOS | | |
|
| 88 |
+
| `< | unk | >` | Unknown token | | |
|
| 89 |
+
| `< | pad | >` | Padding | | |
|
| 90 |
+
| `<think>` / `</think>` | Chain-of-thought delimiters | | | | |
|
| 91 |
+
| `< | user | >` | Chat role token | | |
|
| 92 |
+
| `< | assistant | >` | Chat role token | | |
|
| 93 |
+
| `< | system | >` | Chat role token | | |
|
| 94 |
+
| `< | im_start | >`/`< | im_end | >` | ChatML formatting |
|
| 95 |
+
| `< | tool_call | >` | Tool invocation | | |
|
| 96 |
+
| `< | tool_result | >` | Tool response | | |
|
| 97 |
+
|
| 98 |
+
---
|
| 99 |
+
|
| 100 |
+
# Training Corpus
|
| 101 |
+
|
| 102 |
+
The tokenizer was trained on a heterogeneous multi-domain corpus.
|
| 103 |
+
|
| 104 |
+
| Domain | Primary Sources |
|
| 105 |
+
| --------------------- | ----------------------- |
|
| 106 |
+
| Natural Language | Wikipedia, Common Crawl |
|
| 107 |
+
| Source Code | The Stack |
|
| 108 |
+
| Mathematics | MATH dataset, arXiv |
|
| 109 |
+
| Scientific Literature | PubMed, S2ORC |
|
| 110 |
+
|
| 111 |
+
The corpus intentionally mixed:
|
| 112 |
+
|
| 113 |
+
* prose
|
| 114 |
+
* code
|
| 115 |
+
* formulas
|
| 116 |
+
* Unicode-heavy text
|
| 117 |
+
* markdown
|
| 118 |
+
* structured conversations
|
| 119 |
+
* technical documentation
|
| 120 |
+
|
| 121 |
+
This mixture was intended to prevent domain starvation during BPE merge allocation.
|
| 122 |
+
|
| 123 |
+
---
|
| 124 |
+
|
| 125 |
+
# Installation
|
| 126 |
|
| 127 |
```python
|
| 128 |
from transformers import AutoTokenizer
|
| 129 |
|
| 130 |
+
tokenizer = AutoTokenizer.from_pretrained(
|
| 131 |
+
"Nj-1111/Copernicus-Tokenizer"
|
| 132 |
+
)
|
| 133 |
+
```
|
| 134 |
+
|
| 135 |
+
---
|
| 136 |
|
| 137 |
+
# Example Usage
|
| 138 |
+
|
| 139 |
+
```python
|
| 140 |
+
from transformers import AutoTokenizer
|
| 141 |
+
|
| 142 |
+
tokenizer = AutoTokenizer.from_pretrained(
|
| 143 |
+
"Nj-1111/Copernicus-Tokenizer"
|
| 144 |
+
)
|
| 145 |
+
|
| 146 |
+
text = "def factorial(n): return 1 if n <= 1 else n * factorial(n-1)"
|
| 147 |
+
|
| 148 |
+
encoded = tokenizer(text)
|
| 149 |
+
print(encoded["input_ids"])
|
| 150 |
+
|
| 151 |
+
decoded = tokenizer.decode(encoded["input_ids"])
|
| 152 |
+
print(decoded)
|
| 153 |
```
|
| 154 |
|
| 155 |
+
---
|
| 156 |
+
|
| 157 |
+
# Batched Training Usage
|
| 158 |
|
| 159 |
```python
|
| 160 |
from transformers import PreTrainedTokenizerFast
|
| 161 |
|
| 162 |
+
tokenizer = PreTrainedTokenizerFast.from_pretrained(
|
| 163 |
+
"Nj-1111/Copernicus-Tokenizer"
|
| 164 |
+
)
|
| 165 |
|
| 166 |
inputs = tokenizer(
|
| 167 |
+
[
|
| 168 |
+
"Hello world",
|
| 169 |
+
"def foo(): pass"
|
| 170 |
+
],
|
| 171 |
truncation=True,
|
| 172 |
max_length=2048,
|
| 173 |
padding="max_length",
|
| 174 |
+
return_tensors="pt"
|
| 175 |
)
|
| 176 |
```
|
| 177 |
|
| 178 |
+
---
|
| 179 |
+
|
| 180 |
+
# Evaluation Methodology
|
| 181 |
+
|
| 182 |
+
The tokenizer was evaluated using a mixed-domain stress-testing suite designed to benchmark:
|
| 183 |
+
|
| 184 |
+
* compression efficiency
|
| 185 |
+
* structural preservation
|
| 186 |
+
* mathematical tokenization quality
|
| 187 |
+
* reversibility
|
| 188 |
+
* morphology handling
|
| 189 |
+
* numeric stability
|
| 190 |
+
* code integrity
|
| 191 |
+
|
| 192 |
+
The benchmark corpus included:
|
| 193 |
+
|
| 194 |
+
* deeply nested Python syntax
|
| 195 |
+
* asynchronous code
|
| 196 |
+
* indentation stress tests
|
| 197 |
+
* LaTeX equations
|
| 198 |
+
* Unicode mathematics
|
| 199 |
+
* morphologically rich English
|
| 200 |
+
* long decimal sequences
|
| 201 |
+
* hexadecimal and binary literals
|
| 202 |
+
|
| 203 |
+
Baseline comparison was performed against the GPT-2 tokenizer.
|
| 204 |
+
|
| 205 |
+
---
|
| 206 |
+
|
| 207 |
+
# Benchmark Results
|
| 208 |
+
|
| 209 |
+
## Core Metrics
|
| 210 |
+
|
| 211 |
+
| Metric | Copernicus | GPT-2 |
|
| 212 |
+
| --------------------------- | ---------- | ------ |
|
| 213 |
+
| Total Tokens | 12,600 | 14,920 |
|
| 214 |
+
| Character Compression Ratio | 2.754 | 2.326 |
|
| 215 |
+
| Byte Compression Ratio | 2.870 | 2.424 |
|
| 216 |
+
| Word Fertility | 2.601 | 2.872 |
|
| 217 |
+
| Entropy | 6.850 | 6.775 |
|
| 218 |
+
| Estimated BPT Proxy | 5.726 | 6.715 |
|
| 219 |
+
| Reversible Integrity | True | True |
|
| 220 |
+
| Unknown Tokens | 0 | 0 |
|
| 221 |
+
|
| 222 |
+
---
|
| 223 |
+
|
| 224 |
+
# Interpretation of Metrics
|
| 225 |
+
|
| 226 |
+
## Compression Efficiency
|
| 227 |
+
|
| 228 |
+
Copernicus demonstrates significantly stronger compression than GPT-2 on mixed-domain technical corpora.
|
| 229 |
+
|
| 230 |
+
The lower fertility and higher compression ratio indicate:
|
| 231 |
+
|
| 232 |
+
* better merge efficiency
|
| 233 |
+
* stronger domain coverage
|
| 234 |
+
* reduced subword fragmentation
|
| 235 |
+
* improved vocabulary allocation
|
| 236 |
+
|
| 237 |
+
The benchmark corpus was intentionally difficult and included:
|
| 238 |
+
|
| 239 |
+
* source code
|
| 240 |
+
* LaTeX
|
| 241 |
+
* Unicode mathematics
|
| 242 |
+
* technical scientific language
|
| 243 |
+
* long numeric sequences
|
| 244 |
+
|
| 245 |
+
Performance on standard English corpora is expected to exceed the reported mixed-domain ratios.
|
| 246 |
+
|
| 247 |
+
---
|
| 248 |
+
|
| 249 |
+
# Reversible Integrity
|
| 250 |
+
|
| 251 |
+
The tokenizer achieved:
|
| 252 |
+
|
| 253 |
+
```text
|
| 254 |
+
decode(encode(text)) == text
|
| 255 |
+
```
|
| 256 |
+
|
| 257 |
+
across the benchmark corpus.
|
| 258 |
+
|
| 259 |
+
This property is critical for:
|
| 260 |
+
|
| 261 |
+
* code generation
|
| 262 |
+
* compiler-safe decoding
|
| 263 |
+
* mathematical reconstruction
|
| 264 |
+
* structured prompting
|
| 265 |
+
* dataset integrity preservation
|
| 266 |
+
|
| 267 |
+
---
|
| 268 |
+
|
| 269 |
+
# Structural Purity Evaluation
|
| 270 |
+
|
| 271 |
+
## Structural Purity Score
|
| 272 |
+
|
| 273 |
+
```text
|
| 274 |
+
0.887
|
| 275 |
+
```
|
| 276 |
+
|
| 277 |
+
The tokenizer largely avoided catastrophic syntax merges.
|
| 278 |
+
|
| 279 |
+
Examples of acceptable structural tokens:
|
| 280 |
+
|
| 281 |
+
```text
|
| 282 |
+
'=='
|
| 283 |
+
'<='
|
| 284 |
+
'='
|
| 285 |
+
```
|
| 286 |
+
|
| 287 |
+
The tokenizer successfully avoided highly destructive merges such as:
|
| 288 |
+
|
| 289 |
+
```text
|
| 290 |
+
foo:
|
| 291 |
+
(variable
|
| 292 |
+
]])
|
| 293 |
+
```
|
| 294 |
+
|
| 295 |
+
This indicates relatively strong syntax-boundary preservation.
|
| 296 |
+
|
| 297 |
+
---
|
| 298 |
+
|
| 299 |
+
# AST Integrity Testing
|
| 300 |
+
|
| 301 |
+
Python code subjected to encode/decode cycles remained parseable by Python's AST parser.
|
| 302 |
+
|
| 303 |
+
Result:
|
| 304 |
+
|
| 305 |
+
```text
|
| 306 |
+
AST PARSE: PASS
|
| 307 |
+
```
|
| 308 |
+
|
| 309 |
+
This demonstrates:
|
| 310 |
+
|
| 311 |
+
* indentation preservation
|
| 312 |
+
* bracket stability
|
| 313 |
+
* newline consistency
|
| 314 |
+
* syntax-safe decoding
|
| 315 |
+
|
| 316 |
+
This property is especially important for code-language-model training.
|
| 317 |
+
|
| 318 |
+
---
|
| 319 |
+
|
| 320 |
+
# Mathematical Tokenization Quality
|
| 321 |
+
|
| 322 |
+
## LaTeX Atomicity Score
|
| 323 |
+
|
| 324 |
+
```text
|
| 325 |
+
0.875
|
| 326 |
+
```
|
| 327 |
+
|
| 328 |
+
The tokenizer preserved many common LaTeX operators as atomic units.
|
| 329 |
+
|
| 330 |
+
Examples:
|
| 331 |
+
|
| 332 |
+
| Symbol | Result |
|
| 333 |
+
| ----------- | ------ |
|
| 334 |
+
| `\\sqrt` | Atomic |
|
| 335 |
+
| `\\frac` | Atomic |
|
| 336 |
+
| `\\sum` | Atomic |
|
| 337 |
+
| `\\int` | Atomic |
|
| 338 |
+
| `\\alpha` | Atomic |
|
| 339 |
+
| `\\partial` | Atomic |
|
| 340 |
+
|
| 341 |
+
Rare-symbol fragmentation still occurs in some cases:
|
| 342 |
+
|
| 343 |
+
```text
|
| 344 |
+
\\vartheta -> ['\\v', 'artheta']
|
| 345 |
+
```
|
| 346 |
+
|
| 347 |
+
This indicates that the tokenizer is math-aware but not yet fully optimized for frontier symbolic reasoning workloads.
|
| 348 |
+
|
| 349 |
+
---
|
| 350 |
+
|
| 351 |
+
# Morphological Evaluation
|
| 352 |
+
|
| 353 |
+
The tokenizer demonstrated strong segmentation behavior on morphologically rich vocabulary.
|
| 354 |
+
|
| 355 |
+
Examples:
|
| 356 |
+
|
| 357 |
+
| Word | Tokenization |
|
| 358 |
+
| ---------------------- | ------------------------------- |
|
| 359 |
+
| interoperability | inter + oper + ability |
|
| 360 |
+
| hyperparameterization | hyper + parameter + ization |
|
| 361 |
+
| counterrevolutionaries | counter + rev + olution + aries |
|
| 362 |
+
|
| 363 |
+
This suggests:
|
| 364 |
+
|
| 365 |
+
* good subword reuse
|
| 366 |
+
* semantic morpheme retention
|
| 367 |
+
* efficient scientific terminology handling
|
| 368 |
+
|
| 369 |
+
Some residual BPE artifacts remain:
|
| 370 |
+
|
| 371 |
+
```text
|
| 372 |
+
antidisestablishmentarianism
|
| 373 |
+
-> ant + idis + estab + lish + ment + arian + ism
|
| 374 |
+
```
|
| 375 |
+
|
| 376 |
+
indicating mid-frequency merge residue.
|
| 377 |
+
|
| 378 |
+
---
|
| 379 |
+
|
| 380 |
+
# Numeric Stability Analysis
|
| 381 |
+
|
| 382 |
+
The tokenizer currently exhibits moderate numeric consistency.
|
| 383 |
+
|
| 384 |
+
Examples:
|
| 385 |
+
|
| 386 |
+
```text
|
| 387 |
+
890.123456789
|
| 388 |
+
-> ['89', '0.', '123456789']
|
| 389 |
+
```
|
| 390 |
+
|
| 391 |
+
```text
|
| 392 |
+
9876543210.000000000001
|
| 393 |
+
-> ['987', '65', '432', '10.00', '0000000001']
|
| 394 |
+
```
|
| 395 |
+
|
| 396 |
+
Strengths:
|
| 397 |
+
|
| 398 |
+
* no unknown tokens
|
| 399 |
+
* efficient compression
|
| 400 |
+
* stable decimal preservation
|
| 401 |
+
|
| 402 |
+
Weaknesses:
|
| 403 |
+
|
| 404 |
+
* inconsistent digit chunking
|
| 405 |
+
* fragmented numerical semantics
|
| 406 |
+
* unstable precision grouping
|
| 407 |
+
|
| 408 |
+
Future revisions may benefit from dedicated numeric pretokenization.
|
| 409 |
+
|
| 410 |
+
---
|
| 411 |
+
|
| 412 |
+
# Whitespace & Indentation Behavior
|
| 413 |
+
|
| 414 |
+
The tokenizer partially compresses indentation patterns.
|
| 415 |
+
|
| 416 |
+
Examples:
|
| 417 |
+
|
| 418 |
+
```text
|
| 419 |
+
4 spaces -> ['ĠĠ', 'ĠĠ']
|
| 420 |
+
8 spaces -> ['ĠĠ', 'ĠĠ', 'ĠĠ', 'ĠĠ']
|
| 421 |
+
```
|
| 422 |
+
|
| 423 |
+
This behavior is functional but not yet indentation-semantic.
|
| 424 |
+
|
| 425 |
+
Dedicated indentation tokens could further improve:
|
| 426 |
+
|
| 427 |
+
* code modeling
|
| 428 |
+
* AST consistency
|
| 429 |
+
* Python generation quality
|
| 430 |
+
|
| 431 |
+
---
|
| 432 |
+
|
| 433 |
+
# Strengths
|
| 434 |
+
|
| 435 |
+
## Major Strengths
|
| 436 |
+
|
| 437 |
+
* Strong mixed-domain compression
|
| 438 |
+
* Excellent reversibility
|
| 439 |
+
* AST-safe code preservation
|
| 440 |
+
* Good syntax-boundary awareness
|
| 441 |
+
* Strong LaTeX operator handling
|
| 442 |
+
* Good scientific morphology segmentation
|
| 443 |
+
* Unicode-safe byte-level encoding
|
| 444 |
+
* Zero unknown tokens during benchmark
|
| 445 |
+
|
| 446 |
+
---
|
| 447 |
+
|
| 448 |
+
# Current Limitations
|
| 449 |
+
|
| 450 |
+
## Areas for Improvement
|
| 451 |
+
|
| 452 |
+
* Numeric chunking consistency
|
| 453 |
+
* Rare mathematical symbol coverage
|
| 454 |
+
* Indentation-semantic tokenization
|
| 455 |
+
* Syntax-aware pretokenization
|
| 456 |
+
* Expanded theorem-level LaTeX coverage
|
| 457 |
+
|
| 458 |
+
---
|
| 459 |
+
|
| 460 |
+
# Intended Use Cases
|
| 461 |
+
|
| 462 |
+
## Recommended
|
| 463 |
|
| 464 |
+
* General-purpose LLM pretraining
|
| 465 |
+
* Coding assistants
|
| 466 |
+
* Research copilots
|
| 467 |
+
* Scientific language models
|
| 468 |
+
* Tool-using agent systems
|
| 469 |
+
* Mathematical text generation
|
| 470 |
+
* Mixed-domain instruction tuning
|
|
|
|
|
|
|
| 471 |
|
| 472 |
+
## Less Ideal
|
| 473 |
|
| 474 |
+
* High-precision arithmetic models
|
| 475 |
+
* Frontier symbolic theorem provers
|
| 476 |
+
* Compiler-verified code synthesis
|
| 477 |
+
* Financial numerical reasoning systems
|
|
|
|
|
|
|
| 478 |
|
| 479 |
+
---
|
| 480 |
+
|
| 481 |
+
# Research Assessment
|
| 482 |
+
|
| 483 |
+
Based on mixed-domain evaluation, Copernicus Tokenizer currently falls within:
|
| 484 |
+
|
| 485 |
+
```text
|
| 486 |
+
Advanced / Early Research-Grade
|
| 487 |
+
```
|
| 488 |
+
|
| 489 |
+
relative to contemporary open-source BPE tokenizers.
|
| 490 |
+
|
| 491 |
+
The tokenizer substantially outperforms legacy GPT-2 tokenization behavior on:
|
| 492 |
+
|
| 493 |
+
* compression
|
| 494 |
+
* morphology
|
| 495 |
+
* code structure
|
| 496 |
+
* LaTeX preservation
|
| 497 |
+
* Unicode robustness
|
| 498 |
+
|
| 499 |
+
while remaining fully reversible and structurally stable.
|
| 500 |
+
|
| 501 |
+
---
|
| 502 |
+
|
| 503 |
+
# Future Work
|
| 504 |
+
|
| 505 |
+
Planned future improvements may include:
|
| 506 |
+
|
| 507 |
+
* syntax-aware code pretokenization
|
| 508 |
+
* dedicated numeric tokenization strategies
|
| 509 |
+
* extended LaTeX operator vocabularies
|
| 510 |
+
* theorem-aware symbolic coverage
|
| 511 |
+
* indentation-semantic merges
|
| 512 |
+
* multilingual optimization
|
| 513 |
+
* adaptive merge allocation
|
| 514 |
+
|
| 515 |
+
---
|
| 516 |
+
|
| 517 |
+
# Repository
|
| 518 |
+
|
| 519 |
+
Training code and tokenizer assets:
|
| 520 |
+
|
| 521 |
+
```text
|
| 522 |
+
github.com/Nj-1111/copernicus-tokenizer
|
| 523 |
+
```
|
| 524 |
+
|
| 525 |
+
Tokenizer repository:
|
| 526 |
+
|
| 527 |
+
```text
|
| 528 |
+
huggingface.co/Nj-1111/Copernicus-Tokenizer
|
| 529 |
+
```
|