Update README.md
Browse files
README.md
CHANGED
|
@@ -1,3 +1,196 @@
|
|
| 1 |
-
---
|
| 2 |
-
license: apache-2.0
|
| 3 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
---
|
| 2 |
+
license: apache-2.0
|
| 3 |
+
language:
|
| 4 |
+
- pt
|
| 5 |
+
---
|
| 6 |
+
|
| 7 |
+
**๐ง MiniAxion1.5-3M**
|
| 8 |
+
|
| 9 |
+
**Emergent reasoning in a 2.7M parameter model.
|
| 10 |
+
A tiny Portuguese-first language model that learns how to think before it learns how to be correct.**
|
| 11 |
+
|
| 12 |
+
**๐ Overview**
|
| 13 |
+
|
| 14 |
+
MiniAxion1.5-3M is an ultra-compact (~2.7M parameters) GPT-style language model designed to investigate reasoning emergence at extreme small scale.
|
| 15 |
+
|
| 16 |
+
Unlike typical small models optimized for fluency, MiniAxion is explicitly trained to produce:
|
| 17 |
+
|
| 18 |
+
Structured reasoning traces
|
| 19 |
+
Step-by-step thinking (<THINK><STEP>)
|
| 20 |
+
Deterministic answer formatting
|
| 21 |
+
|
| 22 |
+
It operates primarily in Portuguese, making it a rare example of a non-English reasoning-first nano model.
|
| 23 |
+
|
| 24 |
+
**โก Why This Model Is Interesting**
|
| 25 |
+
|
| 26 |
+
Most models follow this trajectory:
|
| 27 |
+
|
| 28 |
+
Language โ Knowledge โ Reasoning
|
| 29 |
+
|
| 30 |
+
MiniAxion flips part of that:
|
| 31 |
+
|
| 32 |
+
Structure โ Reasoning format โ (still learning correctness)
|
| 33 |
+
|
| 34 |
+
**๐ก Key insight:**
|
| 35 |
+
|
| 36 |
+
The model demonstrates that reasoning structure can emerge independently of reasoning accuracy.
|
| 37 |
+
|
| 38 |
+
**๐งช Evaluation**
|
| 39 |
+
Task Performance
|
| 40 |
+
Task Accuracy
|
| 41 |
+
Addition 10%
|
| 42 |
+
Subtraction 10%
|
| 43 |
+
Multiplication 0%
|
| 44 |
+
Even/Odd 100%
|
| 45 |
+
Comparison 5%
|
| 46 |
+
Sequence Completion 0%
|
| 47 |
+
Word Problems (Addition) 10%
|
| 48 |
+
Word Problems (Subtraction) 0%
|
| 49 |
+
Word Problems (Multiplication) 10%
|
| 50 |
+
True/False 100%
|
| 51 |
+
Chat/Greetings 100%
|
| 52 |
+
|
| 53 |
+
**๐ง Reasoning Behavior Metrics**
|
| 54 |
+
Metric Score
|
| 55 |
+
Thinking Rate 100%
|
| 56 |
+
Step Format 100%
|
| 57 |
+
Answer Completion 100%
|
| 58 |
+
|
| 59 |
+
โ The model always thinks
|
| 60 |
+
โ The model always structures reasoning
|
| 61 |
+
โ The model always produces an answer
|
| 62 |
+
|
| 63 |
+
**๐ Interpretation**
|
| 64 |
+
|
| 65 |
+
MiniAxion exhibits a clear dissociation:
|
| 66 |
+
|
| 67 |
+
โ
What it learned
|
| 68 |
+
Reasoning format
|
| 69 |
+
Step-by-step decomposition
|
| 70 |
+
Logical task patterns (parity, boolean)
|
| 71 |
+
โ What it did NOT learn
|
| 72 |
+
Arithmetic correctness
|
| 73 |
+
Numerical reasoning
|
| 74 |
+
Multi-step computation
|
| 75 |
+
|
| 76 |
+
**๐ฌ Core Finding**
|
| 77 |
+
|
| 78 |
+
Reasoning โ Correctness
|
| 79 |
+
|
| 80 |
+
MiniAxion shows that:
|
| 81 |
+
|
| 82 |
+
Models can internalize thinking patterns
|
| 83 |
+
Without actually learning how to solve problems
|
| 84 |
+
|
| 85 |
+
This makes it a strong candidate for studying:
|
| 86 |
+
|
| 87 |
+
Emergent reasoning
|
| 88 |
+
Tiny Recursive Models (TRMs)
|
| 89 |
+
Reasoning distillation
|
| 90 |
+
|
| 91 |
+
**๐๏ธ Architecture**
|
| 92 |
+
Type: GPT-style Transformer
|
| 93 |
+
Parameters: ~2.7M
|
| 94 |
+
Objective: Next-token prediction
|
| 95 |
+
Language: Portuguese (primary)
|
| 96 |
+
Specialization: Structured reasoning traces
|
| 97 |
+
|
| 98 |
+
**๐ง Training Strategy**
|
| 99 |
+
|
| 100 |
+
The model was trained with a reasoning-first approach:
|
| 101 |
+
|
| 102 |
+
Portuguese language grounding
|
| 103 |
+
Structured reasoning data (<THINK><STEP>)
|
| 104 |
+
Emphasis on:
|
| 105 |
+
Deterministic formats
|
| 106 |
+
Multi-step thinking
|
| 107 |
+
Explicit reasoning tokens
|
| 108 |
+
|
| 109 |
+
๐ซ No RLHF
|
| 110 |
+
๐ซ No instruction tuning at scale
|
| 111 |
+
๐ซ No large model distillation (yet)
|
| 112 |
+
|
| 113 |
+
โ ๏ธ Limitations
|
| 114 |
+
1. Arithmetic Collapse
|
| 115 |
+
|
| 116 |
+
Near-random performance in:
|
| 117 |
+
|
| 118 |
+
Addition
|
| 119 |
+
|
| 120 |
+
Subtraction
|
| 121 |
+
|
| 122 |
+
Multiplication
|
| 123 |
+
|
| 124 |
+
โ Indicates lack of numerical representation learning
|
| 125 |
+
|
| 126 |
+
Strong dependence on:
|
| 127 |
+
|
| 128 |
+
Prompt format
|
| 129 |
+
|
| 130 |
+
Token patterns
|
| 131 |
+
|
| 132 |
+
Seen reasoning templates
|
| 133 |
+
|
| 134 |
+
**๐ฎ Future Work**
|
| 135 |
+
|
| 136 |
+
This model is just the beginning.
|
| 137 |
+
|
| 138 |
+
๐ Scaling
|
| 139 |
+
|
| 140 |
+
5M / 10M / 20M versions
|
| 141 |
+
|
| 142 |
+
Track emergence of correctness
|
| 143 |
+
|
| 144 |
+
๐งช Distillation
|
| 145 |
+
|
| 146 |
+
Inject reasoning from larger models
|
| 147 |
+
|
| 148 |
+
Improve accuracy without scaling params
|
| 149 |
+
|
| 150 |
+
๐ Self-Play / Synthetic Data
|
| 151 |
+
|
| 152 |
+
Generate reasoning loops
|
| 153 |
+
|
| 154 |
+
Reinforce correct chains
|
| 155 |
+
|
| 156 |
+
๐งฉ Hybrid Reasoning
|
| 157 |
+
|
| 158 |
+
Combine symbolic + neural learning
|
| 159 |
+
|
| 160 |
+
Fix arithmetic weakness
|
| 161 |
+
|
| 162 |
+
๐งพ Example Output
|
| 163 |
+
|
| 164 |
+
<THINK>
|
| 165 |
+
<STEP> Identifico os nรบmeros
|
| 166 |
+
<STEP> Tento somar os valores
|
| 167 |
+
<STEP> Ajusto o resultado
|
| 168 |
+
</THINK>
|
| 169 |
+
<ANSWER> 74 </ANSWER>
|
| 170 |
+
|
| 171 |
+
โ Perfect reasoning structure
|
| 172 |
+
โ Incorrect answer
|
| 173 |
+
|
| 174 |
+
**๐ก Takeaway**
|
| 175 |
+
|
| 176 |
+
MiniAxion1.5-3M proves something important:
|
| 177 |
+
|
| 178 |
+
Even a 2.7M model can learn to simulate thinking before it learns to actually think correctly.
|
| 179 |
+
|
| 180 |
+
**๐ค Use Cases**
|
| 181 |
+
|
| 182 |
+
Research on emergent reasoning
|
| 183 |
+
|
| 184 |
+
Tiny model experimentation (CPU-friendly)
|
| 185 |
+
|
| 186 |
+
Educational demos of:
|
| 187 |
+
|
| 188 |
+
Chain-of-Thought
|
| 189 |
+
|
| 190 |
+
Reasoning failure modes
|
| 191 |
+
|
| 192 |
+
Base model for:
|
| 193 |
+
|
| 194 |
+
Distillation
|
| 195 |
+
|
| 196 |
+
NRM experiments
|