File size: 5,537 Bytes
b500102
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
---
license: apache-2.0
language:
- en
base_model:
- Qwen/Qwen2.5-14B-Instruct
pipeline_tag: text-generation
library_name: transformers
tags:
- text-generation-inference
- coder
- Math
- RL
---

![8.png](https://cdn-uploads.huggingface.co/production/uploads/65bb837dbfb878f46c77de4c/HXno2Of6OWRexX88f2wtL.png)

# **Eratosthenes-Polymath-14B-Instruct**  

> **Eratosthenes-Polymath-14B-Instruct** is built on the Qwen 2.5 14B modality architecture, engineered to excel in mathematical reasoning, distributed reinforcement learning (RL), and general-purpose problem solving. This model is fine-tuned with chain-of-thought reasoning datasets, optimization-focused corpora, and advanced structured reasoning datasets to maximize its capabilities in logical deduction, multi-step reasoning, and intelligent decision-making.

## **Key Improvements**  
1. **Advanced Mathematical Reasoning**:  
   Excels in solving complex equations, performing symbolic computation, theorem proving, and step-by-step mathematical problem-solving.

2. **Distributed Reinforcement Learning Expertise**:  
   Specially fine-tuned for robust policy optimization using distributed RL techniques, providing resilience and optimality across dynamic problem spaces.

3. **General-Purpose Reasoning and Problem Solving**:  
   Strong across a broad range of domains, handling factual questions, logical analysis, and multi-step cognitive tasks.

4. **Long-Context Mastery**:  
   Supports up to 128K tokens for context and can generate up to 8K tokens, enabling detailed, coherent long-form outputs and complex derivations.

5. **Superior Instruction Following**:  
   Capable of following complex and structured prompts precisely, maintaining focus and clarity over extended dialogues.

6. **Coding and Algorithmic Fluency**:  
   Highly effective in code generation, debugging, algorithm design, and optimization problem modeling across various programming languages.

## **Quickstart with transformers**  

Use the model easily with the `transformers` library and `apply_chat_template`:

```python
from transformers import AutoModelForCausalLM, AutoTokenizer

model_name = "prithivMLmods/Eratosthenes-Polymath-14B-Instruct"

model = AutoModelForCausalLM.from_pretrained(
    model_name,
    torch_dtype="auto",
    device_map="auto"
)
tokenizer = AutoTokenizer.from_pretrained(model_name)

prompt = "Explain the connection between distributed reinforcement learning and robust policy optimization."
messages = [
    {"role": "system", "content": "You are an expert assistant specializing in mathematics, optimization, and reinforcement learning."},
    {"role": "user", "content": prompt}
]
text = tokenizer.apply_chat_template(
    messages,
    tokenize=False,
    add_generation_prompt=True
)
model_inputs = tokenizer([text], return_tensors="pt").to(model.device)

generated_ids = model.generate(
    **model_inputs,
    max_new_tokens=512
)
generated_ids = [
    output_ids[len(input_ids):] for input_ids, output_ids in zip(model_inputs.input_ids, generated_ids)
]

response = tokenizer.batch_decode(generated_ids, skip_special_tokens=True)[0]
```

## **Intended Use**  
1. **Mathematical and Optimization Problem Solving**:  
   Designed for solving complex mathematical problems, optimization modeling, symbolic logic, and structured derivations.

2. **Distributed Reinforcement Learning Research**:  
   Supports designing, analyzing, and explaining distributed RL systems, robust policy optimization, and autonomous decision systems.

3. **General Knowledge and Reasoning**:  
   Effective in answering a wide range of questions and performing structured reasoning across scientific, technical, and educational domains.

4. **Educational and Research Support**:  
   Ideal for students, researchers, and professionals seeking detailed explanations, derivations, and robust scientific insights.

5. **Code Writing and Algorithm Design**:  
   Excels at creating, optimizing, and explaining algorithms, particularly those relevant to mathematical computation and optimization.

6. **Intelligent Conversational Systems**:  
   Perfect for technical conversational agents and educational bots requiring deep understanding and detailed reasoning capabilities.

7. **Long-Form Technical Content Generation**:  
   Capable of producing structured, coherent articles, tutorials, and research papers, especially in technical and mathematical fields.

8. **Structured Data Generation**:  
   Supports outputting structured formats such as proofs, equations, tables, and JSON useful for scientific and technical workflows.

## **Limitations**  
1. **Heavy Hardware Requirements**:  
   Due to its large parameter count and long-context handling, it requires powerful GPUs or TPUs with significant memory.

2. **Potential for Training Biases**:  
   Outputs may still reflect biases from the mathematical, technical, or optimization-specific datasets used during training.

3. **Less Effective in Creative Tasks**:  
   Focused more on technical and logical reasoning than on freeform creative writing or storytelling.

4. **No Real-Time Event Awareness**:  
   Limited to knowledge prior to its training cutoff, without access to live or real-world updates.

5. **Prompt Sensitivity**:  
   Performance may vary based on the clarity, structure, and specificity of the prompt, particularly for complex multi-step tasks.

6. **Error Propagation Risk**:  
   Small inaccuracies in early stages of long-form outputs could propagate, affecting the overall answer coherence.