Update README.md
Browse files
README.md
CHANGED
|
@@ -1,3 +1,103 @@
|
|
| 1 |
-
---
|
| 2 |
-
license: apache-2.0
|
| 3 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
---
|
| 2 |
+
license: apache-2.0
|
| 3 |
+
language:
|
| 4 |
+
- en
|
| 5 |
+
- zh
|
| 6 |
+
base_model:
|
| 7 |
+
- Qwen/Qwen2.5-14B-Instruct
|
| 8 |
+
pipeline_tag: text-generation
|
| 9 |
+
library_name: transformers
|
| 10 |
+
tags:
|
| 11 |
+
- text-generation-inference
|
| 12 |
+
- trl
|
| 13 |
+
- vlm
|
| 14 |
+
- sft
|
| 15 |
+
- code
|
| 16 |
+
- math
|
| 17 |
+
---
|
| 18 |
+

|
| 19 |
+
|
| 20 |
+
# **Gauss-Opus-14B-R999**
|
| 21 |
+
|
| 22 |
+
> Gauss-Opus-14B-R999 is based on the Qwen 2.5 14B modality architecture, designed to enhance mathematical and constructive reasoning capabilities. This model is optimized for advanced problem-solving, logical structuring, and mathematical comprehension. It excels in numerical reasoning, theorem proving, and multi-step calculations. Fine-tuned with specialized datasets in mathematics, physics, and formal logic, it delivers structured, high-accuracy outputs with a strong emphasis on precision and clarity.
|
| 23 |
+
|
| 24 |
+
## **Key Improvements**
|
| 25 |
+
1. **Enhanced Mathematical Reasoning**: Optimized for algebra, calculus, number theory, and logical deduction, providing precise and structured solutions.
|
| 26 |
+
2. **Improved Instruction Following**: Capable of interpreting and following complex mathematical proofs, equations, and problem-solving instructions with high accuracy.
|
| 27 |
+
3. **Versatile Adaptability**: Handles diverse reasoning tasks, including step-by-step solutions, mathematical proofs, and constructive problem-solving.
|
| 28 |
+
4. **Long-Context Support**: Supports up to 128K tokens for input context and can generate up to 8K tokens in a single output, making it ideal for detailed mathematical derivations.
|
| 29 |
+
5. **Multilingual Proficiency**: Supports over 29 languages, including English, Chinese, French, Spanish, Portuguese, German, Italian, Russian, Japanese, Korean, Vietnamese, Thai, Arabic, and more, ensuring broad accessibility.
|
| 30 |
+
|
| 31 |
+
## **Quickstart with transformers**
|
| 32 |
+
|
| 33 |
+
Here is a code snippet with `apply_chat_template` to show you how to load the tokenizer and model and generate content:
|
| 34 |
+
|
| 35 |
+
```python
|
| 36 |
+
from transformers import AutoModelForCausalLM, AutoTokenizer
|
| 37 |
+
|
| 38 |
+
model_name = "prithivMLmods/Gauss-Opus-14B-R999"
|
| 39 |
+
|
| 40 |
+
model = AutoModelForCausalLM.from_pretrained(
|
| 41 |
+
model_name,
|
| 42 |
+
torch_dtype="auto",
|
| 43 |
+
device_map="auto"
|
| 44 |
+
)
|
| 45 |
+
tokenizer = AutoTokenizer.from_pretrained(model_name)
|
| 46 |
+
|
| 47 |
+
prompt = "Solve the integral \int x^2 dx and explain the steps."
|
| 48 |
+
messages = [
|
| 49 |
+
{"role": "system", "content": "You are a mathematical assistant specialized in problem-solving and theorem proving."},
|
| 50 |
+
{"role": "user", "content": prompt}
|
| 51 |
+
]
|
| 52 |
+
text = tokenizer.apply_chat_template(
|
| 53 |
+
messages,
|
| 54 |
+
tokenize=False,
|
| 55 |
+
add_generation_prompt=True
|
| 56 |
+
)
|
| 57 |
+
model_inputs = tokenizer([text], return_tensors="pt").to(model.device)
|
| 58 |
+
|
| 59 |
+
generated_ids = model.generate(
|
| 60 |
+
**model_inputs,
|
| 61 |
+
max_new_tokens=512
|
| 62 |
+
)
|
| 63 |
+
generated_ids = [
|
| 64 |
+
output_ids[len(input_ids):] for input_ids, output_ids in zip(model_inputs.input_ids, generated_ids)
|
| 65 |
+
]
|
| 66 |
+
|
| 67 |
+
response = tokenizer.batch_decode(generated_ids, skip_special_tokens=True)[0]
|
| 68 |
+
```
|
| 69 |
+
|
| 70 |
+
## **Intended Use**
|
| 71 |
+
1. **Mathematical Problem-Solving**:
|
| 72 |
+
Designed for high-precision mathematical reasoning, step-by-step calculations, and structured solutions.
|
| 73 |
+
|
| 74 |
+
2. **Theorem Proving and Logical Reasoning**:
|
| 75 |
+
Useful for verifying mathematical proofs, formal logic derivations, and theorem-based reasoning.
|
| 76 |
+
|
| 77 |
+
3. **STEM Education and Research**:
|
| 78 |
+
Ideal for educators, researchers, and students requiring assistance in complex problem-solving and mathematical modeling.
|
| 79 |
+
|
| 80 |
+
4. **Algorithm Development and Optimization**:
|
| 81 |
+
Supports structured reasoning in algorithmic problem-solving, coding optimizations, and computational logic.
|
| 82 |
+
|
| 83 |
+
5. **Long-Form Explanatory Content**:
|
| 84 |
+
Can generate detailed mathematical articles, research summaries, and explanatory guides with structured step-by-step reasoning.
|
| 85 |
+
|
| 86 |
+
6. **Multilingual Mathematical Assistance**:
|
| 87 |
+
Supports global accessibility for mathematical discussions, translations, and problem explanations across multiple languages.
|
| 88 |
+
|
| 89 |
+
## **Limitations**
|
| 90 |
+
1. **Hardware Requirements**:
|
| 91 |
+
Requires high-memory GPUs or TPUs due to its large parameter size and long-context support.
|
| 92 |
+
|
| 93 |
+
2. **Potential Bias in Training Data**:
|
| 94 |
+
While optimized for accuracy, the model may inherit biases from training data in certain problem-solving approaches.
|
| 95 |
+
|
| 96 |
+
3. **Complexity in Abstract Theories**:
|
| 97 |
+
May struggle with highly abstract or unsolved mathematical problems that require intuitive leaps beyond computational logic.
|
| 98 |
+
|
| 99 |
+
4. **Error Propagation in Extended Proofs**:
|
| 100 |
+
Small errors in early steps may compound in multi-step proofs and long-form mathematical derivations.
|
| 101 |
+
|
| 102 |
+
5. **Prompt Sensitivity**:
|
| 103 |
+
The quality of responses depends on how well the problem is structured and framed within the input prompt.
|