/ Модель

Характеристики

Лицензия
CC BY 4.0
Базовая модель
Qwen2.5-Math-1.5B
Библиотека
transformers
Опубликована
10 мая 2025

OpenMath-Nemotron-1.5B-GGUF

Генерация текстаТекст → текст3 профессии

OpenMath-Nemotron-1.5B-GGUF — языковая модель для генерации текста, ориентированная прежде всего на математические задачи.

1 151скачиваний за 30 дней0лайковвеса обновлены24 сен 2025

Бенчмарки

Как модель справилась с задачами пользователей ailist и что о ней публикуют открытые лидерборды

Публичные оценки

Из открытых лидербордов. Сравнивайте результаты одного теста при одинаковых условиях — отсутствие оценки не значит, что модель хуже.

В подключённых источниках результатов для этой модели пока нет.

Что умеет модель

Описание составлено по карточке модели и метаданным Hugging Face

Модель разработана на базе Qwen/Qwen2.5-Math-1.5B с использованием набора данных NVIDIA OpenMathReasoning и опубликована в формате GGUF. В README указана английская языковая поддержка и совместимость с библиотекой Transformers и инструментами llama.cpp.

Модель содержит около 1,5 млрд параметров и предназначена для локального инференса, включая запуск на CPU и устройствах с ограниченными объёмами памяти. Доступны варианты BF16 и F16, а также квантованные версии Q8_0 и другие форматы с разной степенью сжатия. Квантование уменьшает требования к памяти, но может снижать точность; BF16 и F16 обеспечивают более высокую точность при наличии соответствующей аппаратной поддержки. Длина контекста и мультимодальные возможности в README не указаны.

Сильной стороной модели является сочетание математической специализации, компактного размера и широкого выбора форматов для локального запуска. Ограничениями являются заявленная ориентация на английский язык, возможная потеря качества в низкобитных квантованных версиях и отсутствие данных о результатах тестирования. Лицензия — CC BY 4.0.

Для каких профессий подходит3

Разделы каталога профессий, в задачах которых используется эта модель

Все профессии

Карточка модели

README от автора на Hugging Face, как он его опубликовал

Открыть на Hugging Face

OpenMath-Nemotron-1.5B GGUF Models

Model Generation Details

This model was generated using llama.cpp at commit 19e899c.

Choosing the Right Model Format

Selecting the correct model format depends on your hardware capabilities and memory constraints.

BF16 (Brain Float 16) – Use if BF16 acceleration is available

  • A 16-bit floating-point format designed for faster computation while retaining good precision.
  • Provides similar dynamic range as FP32 but with lower memory usage.
  • Recommended if your hardware supports BF16 acceleration (check your device's specs).
  • Ideal for high-performance inference with reduced memory footprint compared to FP32.

📌 Use BF16 if:
✔ Your hardware has native BF16 support (e.g., newer GPUs, TPUs).
✔ You want higher precision while saving memory.
✔ You plan to requantize the model into another format.

📌 Avoid BF16 if:
❌ Your hardware does not support BF16 (it may fall back to FP32 and run slower).
❌ You need compatibility with older devices that lack BF16 optimization.


F16 (Float 16) – More widely supported than BF16

  • A 16-bit floating-point high precision but with less of range of values than BF16.
  • Works on most devices with FP16 acceleration support (including many GPUs and some CPUs).
  • Slightly lower numerical precision than BF16 but generally sufficient for inference.

📌 Use F16 if:
✔ Your hardware supports FP16 but not BF16.
✔ You need a balance between speed, memory usage, and accuracy.
✔ You are running on a GPU or another device optimized for FP16 computations.

📌 Avoid F16 if:
❌ Your device lacks native FP16 support (it may run slower than expected).
❌ You have memory limitations.


Quantized Models (Q4_K, Q6_K, Q8, etc.) – For CPU & Low-VRAM Inference

Quantization reduces model size and memory usage while maintaining as much accuracy as possible.

  • Lower-bit models (Q4_K) → Best for minimal memory usage, may have lower precision.
  • Higher-bit models (Q6_K, Q8_0) → Better accuracy, requires more memory.

📌 Use Quantized Models if:
✔ You are running inference on a CPU and need an optimized model.
✔ Your device has low VRAM and cannot load full-precision models.
✔ You want to reduce memory footprint while keeping reasonable accuracy.

📌 Avoid Quantized Models if:
❌ You need maximum accuracy (full-precision models are better for this).
❌ Your hardware has enough VRAM for higher-precision formats (BF16/F16).


Very Low-Bit Quantization (IQ3_XS, IQ3_S, IQ3_M, Q4_K, Q4_0)

These models are optimized for extreme memory efficiency, making them ideal for low-power devices or large-scale deployments where memory is a critical constraint.

  • IQ3_XS: Ultra-low-bit quantization (3-bit) with extreme memory efficiency.

    • Use case: Best for ultra-low-memory devices where even Q4_K is too large.
    • Trade-off: Lower accuracy compared to higher-bit quantizations.
  • IQ3_S: Small block size for maximum memory efficiency.

    • Use case: Best for low-memory devices where IQ3_XS is too aggressive.
  • IQ3_M: Medium block size for better accuracy than IQ3_S.

    • Use case: Suitable for low-memory devices where IQ3_S is too limiting.
  • Q4_K: 4-bit quantization with block-wise optimization for better accuracy.

    • Use case: Best for low-memory devices where Q6_K is too large.
  • Q4_0: Pure 4-bit quantization, optimized for ARM devices.

    • Use case: Best for ARM-based devices or low-memory environments.

Summary Table: Model Format Selection

Model FormatPrecisionMemory UsageDevice RequirementsBest Use Case
BF16HighestHighBF16-supported GPU/CPUsHigh-speed inference with reduced memory
F16HighHighFP16-supported devicesGPU inference when BF16 isn't available
Q4_KMedium LowLowCPU or Low-VRAM devicesBest for memory-constrained environments
Q6_KMediumModerateCPU with more memoryBetter accuracy while still being quantized
Q8_0HighModerateCPU or GPU with enough VRAMBest accuracy among quantized models
IQ3_XSVery LowVery LowUltra-low-memory devicesExtreme memory efficiency and low accuracy
Q4_0LowLowARM or low-memory devicesllama.cpp can optimize for ARM devices

Included Files & Details

OpenMath-Nemotron-1.5B-bf16.gguf

  • Model weights preserved in BF16.
  • Use this if you want to requantize the model into a different format.
  • Best if your device supports BF16 acceleration.

OpenMath-Nemotron-1.5B-f16.gguf

  • Model weights stored in F16.
  • Use if your device supports FP16, especially if BF16 is not available.

OpenMath-Nemotron-1.5B-bf16-q8_0.gguf

  • Output & embeddings remain in BF16.
  • All other layers quantized to Q8_0.
  • Use if your device supports BF16 and you want a quantized version.

OpenMath-Nemotron-1.5B-f16-q8_0.gguf

  • Output & embeddings remain in F16.
  • All other layers quantized to Q8_0.

OpenMath-Nemotron-1.5B-q4_k.gguf

  • Output & embeddings quantized to Q8_0.
  • All other layers quantized to Q4_K.
  • Good for CPU inference with limited memory.

OpenMath-Nemotron-1.5B-q4_k_s.gguf

  • Smallest Q4_K variant, using less memory at the cost of accuracy.
  • Best for very low-memory setups.

OpenMath-Nemotron-1.5B-q6_k.gguf

  • Output & embeddings quantized to Q8_0.
  • All other layers quantized to Q6_K .

OpenMath-Nemotron-1.5B-q8_0.gguf

  • Fully Q8 quantized model for better accuracy.
  • Requires more memory but offers higher precision.

OpenMath-Nemotron-1.5B-iq3_xs.gguf

  • IQ3_XS quantization, optimized for extreme memory efficiency.
  • Best for ultra-low-memory devices.

OpenMath-Nemotron-1.5B-iq3_m.gguf

  • IQ3_M quantization, offering a medium block size for better accuracy.
  • Suitable for low-memory devices.

OpenMath-Nemotron-1.5B-q4_0.gguf

  • Pure Q4_0 quantization, optimized for ARM devices.
  • Best for low-memory environments.
  • Prefer IQ4_NL for better accuracy.

🚀 If you find these models useful

❤ Please click "Like" if you find this useful!
Help me test my AI-Powered Network Monitor Assistant with quantum-ready security checks:
👉 Quantum Network Monitor

💬 How to test:
Choose an AI assistant type:

  • TurboLLM (GPT-4o-mini)
  • HugLLM (Hugginface Open-source)
  • TestLLM (Experimental CPU-only)

What I’m Testing

I’m pushing the limits of small open-source models for AI network monitoring, specifically:

  • Function calling against live network services
  • How small can a model go while still handling:
    • Automated Nmap scans
    • Quantum-readiness checks
    • Network Monitoring tasks

🟡 TestLLM – Current experimental model (llama.cpp on 2 CPU threads):

  • ✅ Zero-configuration setup
  • ⏳ 30s load time (slow inference but no API costs)
  • 🔧 Help wanted! If you’re into edge-device AI, let’s collaborate!

Other Assistants

🟢 TurboLLM – Uses gpt-4o-mini for:

  • Create custom cmd processors to run .net code on Quantum Network Monitor Agents
  • Real-time network diagnostics and monitoring
  • Security Audits
  • Penetration testing (Nmap/Metasploit)

🔵 HugLLM – Latest Open-source models:

  • 🌐 Runs on Hugging Face Inference API

💡 Example commands to you could test:

  1. "Give me info on my websites SSL certificate"
  2. "Check if my server is using quantum safe encyption for communication"
  3. "Run a comprehensive security audit on my server"
  4. '"Create a cmd processor to .. (what ever you want)" Note you need to install a Quantum Network Monitor Agent to run the .net code from. This is a very flexible and powerful feature. Use with caution!

Final Word

I fund the servers used to create these model files, run the Quantum Network Monitor service, and pay for inference from Novita and OpenAI—all out of my own pocket. All the code behind the model creation and the Quantum Network Monitor project is open source. Feel free to use whatever you find helpful.

If you appreciate the work, please consider buying me a coffee ☕. Your support helps cover service costs and allows me to raise token limits for everyone.

I'm also open to job opportunities or sponsorship.

Thank you! 😊

OpenMath-Nemotron-1.5B

OpenMath-Nemotron-1.5B is created by finetuning Qwen/Qwen2.5-Math-1.5B on OpenMathReasoning dataset. This model is ready for commercial use.

Evaluation Results

OpenMath-Nemotron models achieve state-of-the-art results on popular mathematical benchmarks. We present metrics as pass@1 (maj@64) where pass@1 is an average accuracy across 64 generations and maj@64 is the result of majority voting. Please see our paper for more details on the evaluation setup.

ModelAIME24AIME25HMMT-24-25HLE-Math
DeepSeek-R1-Distill-Qwen-1.5B26.8 (60.0)21.4 (36.7)14.2 (26.5)2.9 (5.0)
OpenMath-Nemotron-1.5B CoT61.6 (80.0)49.5 (66.7)39.9 (53.6)5.4 (5.4)
OpenMath-Nemotron-1.5B TIR52.0 (83.3)39.7 (70.0)37.2 (60.7)2.5 (6.2)
+ Self GenSelect83.370.062.27.9
+ 32B GenSelect83.370.062.88.3
DeepSeek-R1-Distill-Qwen-7B54.4 (80.0)38.6 (53.3)30.6 (42.9)3.3 (5.2)
OpenMath-Nemotron-7B CoT74.8 (80.0)61.2 (76.7)49.7 (57.7)6.6 (6.6)
OpenMath-Nemotron-7B TIR72.9 (83.3)57.5 (76.7)54.6 (66.3)7.8 (10.8)
+ Self GenSelect86.776.768.411.5
+ 32B GenSelect86.776.769.911.9
DeepSeek-R1-Distill-Qwen-14B65.8 (80.0)48.4 (60.0)40.1 (52.0)4.2 (4.8)
OpenMath-Nemotron-14B-MIX (kaggle)73.7 (86.7)57.9 (73.3)50.5 (64.8)5.7 (6.5)
OpenMath-Nemotron-14B CoT76.3 (83.3)63.0 (76.7)52.1 (60.7)7.5 (7.6)
OpenMath-Nemotron-14B TIR76.3 (86.7)61.3 (76.7)58.6 (70.9)9.5 (11.5)
+ Self GenSelect86.776.772.414.1
+ 32B GenSelect90.076.771.913.7
QwQ-32B78.1 (86.7)66.5 (76.7)55.9 (63.3)9.0 (9.5)
DeepSeek-R1-Distill-Qwen-32B66.9 (83.3)51.8 (73.3)39.9 (51.0)4.8 (6.0)
OpenMath-Nemotron-32B CoT76.5 (86.7)62.5 (73.3)53.0 (59.2)8.3 (8.3)
OpenMath-Nemotron-32B TIR78.4 (93.3)64.2 (76.7)59.7 (70.9)9.2 (12.5)
+ Self GenSelect93.380.073.515.7
DeepSeek-R179.1 (86.7)64.3 (73.3)53.0 (59.2)10.5 (11.4)

We used a version of OpenMath-Nemotron-14B model to secure the first place in AIMO-2 Kaggle competition!

Reproducing our results

The pipeline we used to produce the data and models is fully open-sourced!

We provide all instructions to fully reproduce our results, including data generation.

How to use the models?

Our models can be used in 3 inference modes: chain-of-thought (CoT), tool-integrated reasoning (TIR) and generative solution selection (GenSelect).

To run inference with CoT mode, you can use this example code snippet.

import transformers
import torch

model_id = "nvidia/OpenMath-Nemotron-1.5B"

pipeline = transformers.pipeline(
    "text-generation",
    model=model_id,
    model_kwargs={"torch_dtype": torch.bfloat16},
    device_map="auto",
)

messages = [
    {
        "role": "user", 
        "content": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.

" + 
        "What is the minimum value of $a^2+6a-7$?"},
]

outputs = pipeline(
    messages,
    max_new_tokens=4096,
)
print(outputs[0]["generated_text"][-1]['content'])

To run inference with TIR or GenSelect modes, we highly recommend to use our reference implementation in NeMo-Skills.

Please note that these models have not been instruction tuned on general data and thus might not provide good answers outside of math domain.

Citation

If you find our work useful, please consider citing us!

@article{moshkov2025aimo2,
  title   = {AIMO-2 Winning Solution: Building State-of-the-Art Mathematical Reasoning Models with OpenMathReasoning dataset},
  author  = {Ivan Moshkov and Darragh Hanley and Ivan Sorokin and Shubham Toshniwal and Christof Henkel and Benedikt Schifferer and Wei Du and Igor Gitman},
  year    = {2025},
  journal = {arXiv preprint arXiv:2504.16891}
}

Additional information

License/Terms of Use:

GOVERNING TERMS: Use of this model is governed by CC-BY-4.0. Additional Information: Apache License Version 2.0.

Deployment Geography:

Global

Use Case:

This model is intended to facilitate research in the area of mathematical reasoning.

Release Date:  

Huggingface 04/23/2025

Model Architecture:

Architecture Type: Transformer decoder-only language model  

Network Architecture: Qwen2.5

**This model was developed based on Qwen2.5-1.5B

** This model has 1.5B of model parameters.

Input:

Input Type(s): Text

Input Format(s): String

Input Parameters: One-Dimensional (1D)

Other Properties Related to Input: Context length up to 131,072 tokens

Output:

Output Type(s): Text

Output Format: String

Output Parameters: One-Dimensional (1D)

Other Properties Related to Output: Context length up to 131,072 tokens

Our AI models are designed and/or optimized to run on NVIDIA GPU-accelerated systems. By leveraging NVIDIA’s hardware (e.g. GPU cores) and software frameworks (e.g., CUDA libraries), the model achieves faster training and inference times compared to CPU-only solutions.

Software Integration :

Runtime Engine(s):

  • Tensor RT / Triton

Supported Hardware Microarchitecture Compatibility:

  • NVIDIA Ampere

  • NVIDIA Hopper

Preferred Operating System(s):

  • Linux

Model Version(s):

OpenMath-Nemotron-1.5B

OpenMath-Nemotron-7B

OpenMath-Nemotron-14B

OpenMath-Nemotron-32B

Ethical Considerations:

NVIDIA believes Trustworthy AI is a shared responsibility and we have established policies and practices to enable development for a wide array of AI applications.  When downloaded or used in accordance with our terms of service, developers should work with their internal model team to ensure this model meets requirements for the relevant industry and use case and addresses unforeseen product misuse.

For more detailed information on ethical considerations for this model, please see the Model Card++ Explainability, Bias, Safety & Security, and Privacy Subcards.

Please report security vulnerabilities or NVIDIA AI Concerns here.

Как запустить

На своей GPU в ailist. Цена — по текущим предложениям провайдеров

GPU в ailist

llama.cpp

Нельзя запустить

GGUF-модель ждёт проверки: нужно выбрать файл кванта под доступные GPU.

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