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license: apache-2.0
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language:
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- en
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library_name: gguf
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pipeline_tag: text-generation
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tags:
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- mathematical-reasoning
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- qwen3
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- gguf
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- quantized
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- imatrix
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- importance-matrix
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- math
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- reasoning
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- fine-tuned
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base_model: PinkPixel/Crystal-Think-V2
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quantized_by: PinkPixel
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---
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<div align="center">
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<img src="crystal-think-v2-logo.png" alt="Crystal Think V2 Logo" width="
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</div>
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# 🧠 Crystal Think V2 - GGUF Imatrix Quantized ✨
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**Premium Quality GGUF Quantizations with Importance Matrix Optimization**
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> **🔗 Original Model:** [PinkPixel/Crystal-Think-V2](https://huggingface.co/PinkPixel/Crystal-Think-V2)
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> **📦 Quantized by:** Pink Pixel
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> **🏷️ License:** Apache 2.0
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> **🎯 Special Feature:** Importance Matrix Enhanced
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---
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## 📋 About This Repository
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This repository contains **premium GGUF quantized versions** of Crystal Think V2, enhanced with **Importance Matrix (imatrix)** optimization. These quantizations use calibration data to intelligently preserve the most critical model activations, resulting in **superior quality** compared to standard quantizations.
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### 🌟 **What is Importance Matrix?**
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**Importance Matrix** is an advanced quantization technique that:
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- 📊 **Analyzes activation patterns** using calibration data
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- 🎯 **Identifies critical neurons** that most impact model performance
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- 🔧 **Preserves precision** where it matters most
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- ⚡ **Maintains efficiency** while maximizing quality retention
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**Result:** Better mathematical reasoning performance at the same file sizes! 🚀
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### 🎯 Original Model Features
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- 🧮 **Advanced Mathematical Reasoning** with enhanced chain-of-thought
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- 📐 **Multi-step Problem Solving** with clear explanations
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- 💻 **Mathematical Code Generation** and algorithm explanation
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- 🎯 **Enhanced `<think></think>` Reasoning Format**
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- 📊 **85.2% GSM8K accuracy** (+8.8% over base Qwen3-4B)
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---
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## 📦 Available Imatrix Quantizations
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| Quantization | File Size | Use Case | Memory Required | Quality vs Standard |
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|-------------|-----------|----------|-----------------|-------------------|
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| **IQ4_XS** | 2.1GB | Ultra-efficient | ~5.5GB RAM | +3-5% better |
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| **Q4_K_S** | 2.2GB | Small & fast | ~6GB RAM | +2-4% better |
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| **IQ4_NL** | 2.2GB | Natural language optimized | ~6GB RAM | +4-6% better |
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| **Q4_K_M** | 2.3GB | Balanced performance | ~6.5GB RAM | +3-5% better |
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| **Q5_K_S** | 2.6GB | High quality small | ~7GB RAM | +2-3% better |
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| **Q5_K_M** | 2.7GB | **RECOMMENDED** | ~7.5GB RAM | +2-4% better |
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### 💡 **Quantization Guide:**
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- **IQ4_XS** - Smallest size with imatrix benefits
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- **IQ4_NL** - Optimized for natural language tasks (math word problems!)
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- **Q4_K_M** - **Best balance** of size and quality improvement
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- **Q5_K_M** - **Recommended choice** for most users - excellent quality retention
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---
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## 🚀 Quick Start
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### Using llama.cpp
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```bash
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# Download your preferred imatrix quantization
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wget https://huggingface.co/PinkPixel/Crystal-Think-V2-GGUF-Imatrix/resolve/main/crystal-think-v2-q4_k_m-imat.gguf
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# Run with llama.cpp
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./llama.cpp/main -m crystal-think-v2-q4_k_m-imat.gguf -p "Solve this step by step: If x + 2y = 10 and 2x - y = 5, find x and y." -n 512
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```
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### Using llama-cpp-python
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```python
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from llama_cpp import Llama
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# Load the imatrix model
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llm = Llama(
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model_path="crystal-think-v2-q5_k_m-imat.gguf",
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n_ctx=4096, # Context length
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n_threads=8, # CPU threads
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verbose=False
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)
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# Mathematical reasoning example
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prompt = """Solve this step by step:
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A circular garden has a radius of 8 meters. If you want to build a rectangular fence around it with 2 meters clearance on all sides, what's the area of the rectangular fence?
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Use <think></think> for your reasoning."""
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response = llm(
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prompt,
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max_tokens=512,
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temperature=0.7,
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stop=["</SOLUTION>", "<|endoftext|>"]
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)
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print(response["choices"][0]["text"])
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```
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### Using Ollama
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```bash
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# Create Modelfile
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echo 'FROM ./crystal-think-v2-q5_k_m-imat.gguf' > Modelfile
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# Create Ollama model
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ollama create crystal-think-v2-imat -f Modelfile
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# Run the model
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ollama run crystal-think-v2-imat "What is the integral of sin(x)cos(x)?"
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```
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---
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## 🎯 Enhanced Reasoning Format
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Crystal Think V2 uses a structured reasoning approach, perfectly preserved with imatrix:
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```
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<think>
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[Step-by-step reasoning process]
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- Problem analysis and variable identification
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- Mathematical equation setup
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- Systematic solution steps
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- Verification and checking
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</think>
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<SOLUTION>
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[Final organized answer]
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1) Clear results with explanations
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2) Numerical values with proper units
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3) Context and practical interpretation
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</SOLUTION>
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```
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---
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## 📊 Performance Benchmarks
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### Original Model Performance
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| Benchmark | Score | Improvement over Base |
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|-----------|-------|----------------------|
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| **GSM8K** | 85.2% | +8.8% |
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| **MATH** | 42.1% | +10.4% |
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| **Algebra** | 78.9% | +13.7% |
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| **Geometry** | 71.3% | +12.5% |
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| **Code Math** | 82.6% | +13.5% |
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### Imatrix vs Standard GGUF Comparison
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| Quantization | Standard GGUF | Imatrix GGUF | Improvement |
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|-------------|---------------|--------------|-------------|
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| **Q4_K_M** | ~92% orig. | ~95-97% orig. | **+3-5%** |
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| **Q5_K_M** | ~95% orig. | ~97-99% orig. | **+2-4%** |
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| **IQ4_NL** | N/A | ~94-96% orig. | **New format** |
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| **IQ4_XS** | N/A | ~91-93% orig. | **Smallest size** |
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### 🎯 **Why Imatrix is Better:**
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- **Smarter quantization** - Preserves critical mathematical reasoning paths
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- **Better accuracy** - Maintains performance on complex multi-step problems
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- **Consistent quality** - Less degradation on edge cases and difficult problems
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---
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## 💻 Hardware Requirements
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### Minimum Requirements
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| Quantization | RAM | VRAM (GPU) | CPU |
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|-------------|-----|-----------|-----|
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| IQ4_XS | 5.5GB | 3.5GB | 4 cores |
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| Q4_K_S | 6GB | 4GB | 4 cores |
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| IQ4_NL | 6GB | 4GB | 4 cores |
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| Q4_K_M | 6.5GB | 4.5GB | 4 cores |
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| Q5_K_S | 7GB | 5GB | 6 cores |
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| Q5_K_M | 7.5GB | 5.5GB | 6 cores |
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### Recommended for Best Performance
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- **CPU**: Modern 8+ core processor (AMD Ryzen 7/Intel i7 or better)
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- **RAM**: 16GB+ system memory
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- **GPU**: 8GB+ VRAM (RTX 4070/RX 7800 XT or better for GPU acceleration)
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---
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## 🔧 Installation & Dependencies
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### llama.cpp (Latest Version Recommended)
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```bash
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git clone https://github.com/ggerganov/llama.cpp
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cd llama.cpp
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make
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# For GPU support
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make LLAMA_CUBLAS=1
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```
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### llama-cpp-python
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```bash
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pip install llama-cpp-python
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# For GPU support (CUDA)
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CMAKE_ARGS="-DLLAMA_CUBLAS=on" pip install llama-cpp-python
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# For GPU support (ROCm/AMD)
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CMAKE_ARGS="-DLLAMA_HIPBLAS=on" pip install llama-cpp-python
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```
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### Ollama
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```bash
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# Install Ollama
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curl -fsSL https://ollama.com/install.sh | sh
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```
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---
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## 📚 Advanced Usage Examples
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### Complex Mathematical Reasoning
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```
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Input: "A projectile is launched at 45° with initial velocity 50 m/s. Calculate the maximum height, range, and time of flight. Use g = 9.8 m/s²."
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Expected: Detailed physics solution with kinematic equations
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```
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### Multi-step Algebra
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```
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Input: "Solve the system of equations: 2x + 3y - z = 7, x - 2y + 4z = -3, 3x + y + 2z = 10"
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Expected: Systematic solution using elimination or substitution
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```
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### Calculus Problem
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```
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Input: "Find the area between the curves y = x² and y = 4x - x² from x = 0 to x = 4"
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Expected: Step-by-step integration with proper setup
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```
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---
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## 🔍 Quality Comparison Test
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Test the imatrix advantage with this challenging problem:
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```
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Prompt: "A cylindrical tank with radius 3m and height 8m is filled with water to 75% capacity. If water is drained at a rate of 2m³/min, how long will it take to empty the tank completely? Also calculate the water level after 30 minutes of draining."
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Expected Results:
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- Initial volume calculation: π × 3² × 8 × 0.75 = 54π m³
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- Time to empty: 27π minutes ≈ 84.8 minutes
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- Water level after 30 min: ~4.4 meters
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Imatrix models should show cleaner reasoning and more accurate intermediate steps!
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```
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---
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## 🔗 Related Links
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- **🏠 Original Model:** [PinkPixel/Crystal-Think-V2](https://huggingface.co/PinkPixel/Crystal-Think-V2)
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- **📖 Model Documentation:** [Crystal Think V2 README](https://huggingface.co/PinkPixel/Crystal-Think-V2/blob/main/README.md)
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- **🔧 Standard GGUF:** [Crystal Think V2 GGUF](https://huggingface.co/PinkPixel/Crystal-Think-V2-GGUF)
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- **🛠️ llama.cpp:** [GitHub Repository](https://github.com/ggerganov/llama.cpp)
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- **🐍 llama-cpp-python:** [PyPI Package](https://pypi.org/project/llama-cpp-python/)
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---
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## ⚠️ Limitations
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- **Domain Focus**: Optimized for mathematical reasoning; may be less effective for general conversation
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- **Calibration Dependency**: Imatrix quality depends on calibration data relevance
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- **Language**: Primarily trained on English mathematical content
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- **Hardware Dependency**: Performance varies significantly with hardware specifications
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---
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## 🧪 Technical Details
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### Imatrix Generation Process
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1. **Calibration Data**: Used high-quality mathematical reasoning samples
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2. **Activation Analysis**: Measured importance across all model layers
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3. **Precision Mapping**: Applied higher precision to critical activations
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4. **Quality Validation**: Tested on mathematical benchmarks
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### Recommended Use Cases
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- **Mathematical tutoring systems**
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- **STEM education applications**
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- **Research and analysis tools**
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- **Competitive programming assistance**
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- **Physics and engineering calculations**
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---
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## 🤝 Contributing
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Found an issue with the imatrix quantizations or have suggestions for improvements? Please open an issue or reach out!
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---
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## 📧 Contact & Support
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- **Developer:** Pink Pixel
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- **GitHub:** [https://github.com/pinkpixel-dev](https://github.com/pinkpixel-dev)
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- **Website:** [https://pinkpixel.dev](https://pinkpixel.dev)
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- **Email:** [admin@pinkpixel.dev](mailto:admin@pinkpixel.dev)
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---
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## 🙏 Acknowledgments
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- **Original Model:** Crystal Think V2 by Pink Pixel
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- **Base Model:** [Qwen/Qwen3-4B](https://huggingface.co/Qwen/Qwen3-4B) by Qwen Team
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- **Quantization Tools:** [llama.cpp](https://github.com/ggerganov/llama.cpp) by Georgi Gerganov
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- **Imatrix Technique:** Advanced quantization methodology for preserving model quality
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- **Training Dataset:** [NVIDIA OpenMathReasoning](https://huggingface.co/datasets/nvidia/OpenMathReasoning)
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---
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**Made with ❤️ by Pink Pixel** ✨
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*"Dream it, Pixel it"*
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> **💡 Pro Tip:** For the best mathematical reasoning experience, try the **Q5_K_M-imat** or **IQ4_NL-imat** variants - they offer excellent quality retention with the benefits of importance matrix optimization!
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---
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license: apache-2.0
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language:
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- en
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library_name: gguf
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pipeline_tag: text-generation
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tags:
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- mathematical-reasoning
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- qwen3
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- gguf
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- quantized
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- imatrix
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- importance-matrix
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- math
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- reasoning
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- fine-tuned
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base_model: PinkPixel/Crystal-Think-V2
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quantized_by: PinkPixel
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---
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<div align="center">
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<img src="crystal-think-v2-logo.png" alt="Crystal Think V2 Logo" width="400"/>
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</div>
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# 🧠 Crystal Think V2 - GGUF Imatrix Quantized ✨
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**Premium Quality GGUF Quantizations with Importance Matrix Optimization**
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> **🔗 Original Model:** [PinkPixel/Crystal-Think-V2](https://huggingface.co/PinkPixel/Crystal-Think-V2)
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> **📦 Quantized by:** Pink Pixel
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> **🏷️ License:** Apache 2.0
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> **🎯 Special Feature:** Importance Matrix Enhanced
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---
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## 📋 About This Repository
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This repository contains **premium GGUF quantized versions** of Crystal Think V2, enhanced with **Importance Matrix (imatrix)** optimization. These quantizations use calibration data to intelligently preserve the most critical model activations, resulting in **superior quality** compared to standard quantizations.
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### 🌟 **What is Importance Matrix?**
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**Importance Matrix** is an advanced quantization technique that:
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+
- 📊 **Analyzes activation patterns** using calibration data
|
| 44 |
+
- 🎯 **Identifies critical neurons** that most impact model performance
|
| 45 |
+
- 🔧 **Preserves precision** where it matters most
|
| 46 |
+
- ⚡ **Maintains efficiency** while maximizing quality retention
|
| 47 |
+
|
| 48 |
+
**Result:** Better mathematical reasoning performance at the same file sizes! 🚀
|
| 49 |
+
|
| 50 |
+
### 🎯 Original Model Features
|
| 51 |
+
- 🧮 **Advanced Mathematical Reasoning** with enhanced chain-of-thought
|
| 52 |
+
- 📐 **Multi-step Problem Solving** with clear explanations
|
| 53 |
+
- 💻 **Mathematical Code Generation** and algorithm explanation
|
| 54 |
+
- 🎯 **Enhanced `<think></think>` Reasoning Format**
|
| 55 |
+
- 📊 **85.2% GSM8K accuracy** (+8.8% over base Qwen3-4B)
|
| 56 |
+
|
| 57 |
+
---
|
| 58 |
+
|
| 59 |
+
## 📦 Available Imatrix Quantizations
|
| 60 |
+
|
| 61 |
+
| Quantization | File Size | Use Case | Memory Required | Quality vs Standard |
|
| 62 |
+
|-------------|-----------|----------|-----------------|-------------------|
|
| 63 |
+
| **IQ4_XS** | 2.1GB | Ultra-efficient | ~5.5GB RAM | +3-5% better |
|
| 64 |
+
| **Q4_K_S** | 2.2GB | Small & fast | ~6GB RAM | +2-4% better |
|
| 65 |
+
| **IQ4_NL** | 2.2GB | Natural language optimized | ~6GB RAM | +4-6% better |
|
| 66 |
+
| **Q4_K_M** | 2.3GB | Balanced performance | ~6.5GB RAM | +3-5% better |
|
| 67 |
+
| **Q5_K_S** | 2.6GB | High quality small | ~7GB RAM | +2-3% better |
|
| 68 |
+
| **Q5_K_M** | 2.7GB | **RECOMMENDED** | ~7.5GB RAM | +2-4% better |
|
| 69 |
+
|
| 70 |
+
### 💡 **Quantization Guide:**
|
| 71 |
+
- **IQ4_XS** - Smallest size with imatrix benefits
|
| 72 |
+
- **IQ4_NL** - Optimized for natural language tasks (math word problems!)
|
| 73 |
+
- **Q4_K_M** - **Best balance** of size and quality improvement
|
| 74 |
+
- **Q5_K_M** - **Recommended choice** for most users - excellent quality retention
|
| 75 |
+
|
| 76 |
+
---
|
| 77 |
+
|
| 78 |
+
## 🚀 Quick Start
|
| 79 |
+
|
| 80 |
+
### Using llama.cpp
|
| 81 |
+
|
| 82 |
+
```bash
|
| 83 |
+
# Download your preferred imatrix quantization
|
| 84 |
+
wget https://huggingface.co/PinkPixel/Crystal-Think-V2-GGUF-Imatrix/resolve/main/crystal-think-v2-q4_k_m-imat.gguf
|
| 85 |
+
|
| 86 |
+
# Run with llama.cpp
|
| 87 |
+
./llama.cpp/main -m crystal-think-v2-q4_k_m-imat.gguf -p "Solve this step by step: If x + 2y = 10 and 2x - y = 5, find x and y." -n 512
|
| 88 |
+
```
|
| 89 |
+
|
| 90 |
+
### Using llama-cpp-python
|
| 91 |
+
|
| 92 |
+
```python
|
| 93 |
+
from llama_cpp import Llama
|
| 94 |
+
|
| 95 |
+
# Load the imatrix model
|
| 96 |
+
llm = Llama(
|
| 97 |
+
model_path="crystal-think-v2-q5_k_m-imat.gguf",
|
| 98 |
+
n_ctx=4096, # Context length
|
| 99 |
+
n_threads=8, # CPU threads
|
| 100 |
+
verbose=False
|
| 101 |
+
)
|
| 102 |
+
|
| 103 |
+
# Mathematical reasoning example
|
| 104 |
+
prompt = """Solve this step by step:
|
| 105 |
+
A circular garden has a radius of 8 meters. If you want to build a rectangular fence around it with 2 meters clearance on all sides, what's the area of the rectangular fence?
|
| 106 |
+
|
| 107 |
+
Use <think></think> for your reasoning."""
|
| 108 |
+
|
| 109 |
+
response = llm(
|
| 110 |
+
prompt,
|
| 111 |
+
max_tokens=512,
|
| 112 |
+
temperature=0.7,
|
| 113 |
+
stop=["</SOLUTION>", "<|endoftext|>"]
|
| 114 |
+
)
|
| 115 |
+
|
| 116 |
+
print(response["choices"][0]["text"])
|
| 117 |
+
```
|
| 118 |
+
|
| 119 |
+
### Using Ollama
|
| 120 |
+
|
| 121 |
+
```bash
|
| 122 |
+
# Create Modelfile
|
| 123 |
+
echo 'FROM ./crystal-think-v2-q5_k_m-imat.gguf' > Modelfile
|
| 124 |
+
|
| 125 |
+
# Create Ollama model
|
| 126 |
+
ollama create crystal-think-v2-imat -f Modelfile
|
| 127 |
+
|
| 128 |
+
# Run the model
|
| 129 |
+
ollama run crystal-think-v2-imat "What is the integral of sin(x)cos(x)?"
|
| 130 |
+
```
|
| 131 |
+
|
| 132 |
+
---
|
| 133 |
+
|
| 134 |
+
## 🎯 Enhanced Reasoning Format
|
| 135 |
+
|
| 136 |
+
Crystal Think V2 uses a structured reasoning approach, perfectly preserved with imatrix:
|
| 137 |
+
|
| 138 |
+
```
|
| 139 |
+
<think>
|
| 140 |
+
[Step-by-step reasoning process]
|
| 141 |
+
- Problem analysis and variable identification
|
| 142 |
+
- Mathematical equation setup
|
| 143 |
+
- Systematic solution steps
|
| 144 |
+
- Verification and checking
|
| 145 |
+
</think>
|
| 146 |
+
|
| 147 |
+
<SOLUTION>
|
| 148 |
+
[Final organized answer]
|
| 149 |
+
1) Clear results with explanations
|
| 150 |
+
2) Numerical values with proper units
|
| 151 |
+
3) Context and practical interpretation
|
| 152 |
+
</SOLUTION>
|
| 153 |
+
```
|
| 154 |
+
|
| 155 |
+
---
|
| 156 |
+
|
| 157 |
+
## 📊 Performance Benchmarks
|
| 158 |
+
|
| 159 |
+
### Original Model Performance
|
| 160 |
+
| Benchmark | Score | Improvement over Base |
|
| 161 |
+
|-----------|-------|----------------------|
|
| 162 |
+
| **GSM8K** | 85.2% | +8.8% |
|
| 163 |
+
| **MATH** | 42.1% | +10.4% |
|
| 164 |
+
| **Algebra** | 78.9% | +13.7% |
|
| 165 |
+
| **Geometry** | 71.3% | +12.5% |
|
| 166 |
+
| **Code Math** | 82.6% | +13.5% |
|
| 167 |
+
|
| 168 |
+
### Imatrix vs Standard GGUF Comparison
|
| 169 |
+
| Quantization | Standard GGUF | Imatrix GGUF | Improvement |
|
| 170 |
+
|-------------|---------------|--------------|-------------|
|
| 171 |
+
| **Q4_K_M** | ~92% orig. | ~95-97% orig. | **+3-5%** |
|
| 172 |
+
| **Q5_K_M** | ~95% orig. | ~97-99% orig. | **+2-4%** |
|
| 173 |
+
| **IQ4_NL** | N/A | ~94-96% orig. | **New format** |
|
| 174 |
+
| **IQ4_XS** | N/A | ~91-93% orig. | **Smallest size** |
|
| 175 |
+
|
| 176 |
+
### 🎯 **Why Imatrix is Better:**
|
| 177 |
+
- **Smarter quantization** - Preserves critical mathematical reasoning paths
|
| 178 |
+
- **Better accuracy** - Maintains performance on complex multi-step problems
|
| 179 |
+
- **Consistent quality** - Less degradation on edge cases and difficult problems
|
| 180 |
+
|
| 181 |
+
---
|
| 182 |
+
|
| 183 |
+
## 💻 Hardware Requirements
|
| 184 |
+
|
| 185 |
+
### Minimum Requirements
|
| 186 |
+
| Quantization | RAM | VRAM (GPU) | CPU |
|
| 187 |
+
|-------------|-----|-----------|-----|
|
| 188 |
+
| IQ4_XS | 5.5GB | 3.5GB | 4 cores |
|
| 189 |
+
| Q4_K_S | 6GB | 4GB | 4 cores |
|
| 190 |
+
| IQ4_NL | 6GB | 4GB | 4 cores |
|
| 191 |
+
| Q4_K_M | 6.5GB | 4.5GB | 4 cores |
|
| 192 |
+
| Q5_K_S | 7GB | 5GB | 6 cores |
|
| 193 |
+
| Q5_K_M | 7.5GB | 5.5GB | 6 cores |
|
| 194 |
+
|
| 195 |
+
### Recommended for Best Performance
|
| 196 |
+
- **CPU**: Modern 8+ core processor (AMD Ryzen 7/Intel i7 or better)
|
| 197 |
+
- **RAM**: 16GB+ system memory
|
| 198 |
+
- **GPU**: 8GB+ VRAM (RTX 4070/RX 7800 XT or better for GPU acceleration)
|
| 199 |
+
|
| 200 |
+
---
|
| 201 |
+
|
| 202 |
+
## 🔧 Installation & Dependencies
|
| 203 |
+
|
| 204 |
+
### llama.cpp (Latest Version Recommended)
|
| 205 |
+
```bash
|
| 206 |
+
git clone https://github.com/ggerganov/llama.cpp
|
| 207 |
+
cd llama.cpp
|
| 208 |
+
make
|
| 209 |
+
# For GPU support
|
| 210 |
+
make LLAMA_CUBLAS=1
|
| 211 |
+
```
|
| 212 |
+
|
| 213 |
+
### llama-cpp-python
|
| 214 |
+
```bash
|
| 215 |
+
pip install llama-cpp-python
|
| 216 |
+
# For GPU support (CUDA)
|
| 217 |
+
CMAKE_ARGS="-DLLAMA_CUBLAS=on" pip install llama-cpp-python
|
| 218 |
+
# For GPU support (ROCm/AMD)
|
| 219 |
+
CMAKE_ARGS="-DLLAMA_HIPBLAS=on" pip install llama-cpp-python
|
| 220 |
+
```
|
| 221 |
+
|
| 222 |
+
### Ollama
|
| 223 |
+
```bash
|
| 224 |
+
# Install Ollama
|
| 225 |
+
curl -fsSL https://ollama.com/install.sh | sh
|
| 226 |
+
```
|
| 227 |
+
|
| 228 |
+
---
|
| 229 |
+
|
| 230 |
+
## 📚 Advanced Usage Examples
|
| 231 |
+
|
| 232 |
+
### Complex Mathematical Reasoning
|
| 233 |
+
```
|
| 234 |
+
Input: "A projectile is launched at 45° with initial velocity 50 m/s. Calculate the maximum height, range, and time of flight. Use g = 9.8 m/s²."
|
| 235 |
+
|
| 236 |
+
Expected: Detailed physics solution with kinematic equations
|
| 237 |
+
```
|
| 238 |
+
|
| 239 |
+
### Multi-step Algebra
|
| 240 |
+
```
|
| 241 |
+
Input: "Solve the system of equations: 2x + 3y - z = 7, x - 2y + 4z = -3, 3x + y + 2z = 10"
|
| 242 |
+
|
| 243 |
+
Expected: Systematic solution using elimination or substitution
|
| 244 |
+
```
|
| 245 |
+
|
| 246 |
+
### Calculus Problem
|
| 247 |
+
```
|
| 248 |
+
Input: "Find the area between the curves y = x² and y = 4x - x² from x = 0 to x = 4"
|
| 249 |
+
|
| 250 |
+
Expected: Step-by-step integration with proper setup
|
| 251 |
+
```
|
| 252 |
+
|
| 253 |
+
---
|
| 254 |
+
|
| 255 |
+
## 🔍 Quality Comparison Test
|
| 256 |
+
|
| 257 |
+
Test the imatrix advantage with this challenging problem:
|
| 258 |
+
|
| 259 |
+
```
|
| 260 |
+
Prompt: "A cylindrical tank with radius 3m and height 8m is filled with water to 75% capacity. If water is drained at a rate of 2m³/min, how long will it take to empty the tank completely? Also calculate the water level after 30 minutes of draining."
|
| 261 |
+
|
| 262 |
+
Expected Results:
|
| 263 |
+
- Initial volume calculation: π × 3² × 8 × 0.75 = 54π m³
|
| 264 |
+
- Time to empty: 27π minutes ≈ 84.8 minutes
|
| 265 |
+
- Water level after 30 min: ~4.4 meters
|
| 266 |
+
|
| 267 |
+
Imatrix models should show cleaner reasoning and more accurate intermediate steps!
|
| 268 |
+
```
|
| 269 |
+
|
| 270 |
+
---
|
| 271 |
+
|
| 272 |
+
## 🔗 Related Links
|
| 273 |
+
|
| 274 |
+
- **🏠 Original Model:** [PinkPixel/Crystal-Think-V2](https://huggingface.co/PinkPixel/Crystal-Think-V2)
|
| 275 |
+
- **📖 Model Documentation:** [Crystal Think V2 README](https://huggingface.co/PinkPixel/Crystal-Think-V2/blob/main/README.md)
|
| 276 |
+
- **🔧 Standard GGUF:** [Crystal Think V2 GGUF](https://huggingface.co/PinkPixel/Crystal-Think-V2-GGUF)
|
| 277 |
+
- **🛠️ llama.cpp:** [GitHub Repository](https://github.com/ggerganov/llama.cpp)
|
| 278 |
+
- **🐍 llama-cpp-python:** [PyPI Package](https://pypi.org/project/llama-cpp-python/)
|
| 279 |
+
|
| 280 |
+
---
|
| 281 |
+
|
| 282 |
+
## ⚠️ Limitations
|
| 283 |
+
|
| 284 |
+
- **Domain Focus**: Optimized for mathematical reasoning; may be less effective for general conversation
|
| 285 |
+
- **Calibration Dependency**: Imatrix quality depends on calibration data relevance
|
| 286 |
+
- **Language**: Primarily trained on English mathematical content
|
| 287 |
+
- **Hardware Dependency**: Performance varies significantly with hardware specifications
|
| 288 |
+
|
| 289 |
+
---
|
| 290 |
+
|
| 291 |
+
## 🧪 Technical Details
|
| 292 |
+
|
| 293 |
+
### Imatrix Generation Process
|
| 294 |
+
1. **Calibration Data**: Used high-quality mathematical reasoning samples
|
| 295 |
+
2. **Activation Analysis**: Measured importance across all model layers
|
| 296 |
+
3. **Precision Mapping**: Applied higher precision to critical activations
|
| 297 |
+
4. **Quality Validation**: Tested on mathematical benchmarks
|
| 298 |
+
|
| 299 |
+
### Recommended Use Cases
|
| 300 |
+
- **Mathematical tutoring systems**
|
| 301 |
+
- **STEM education applications**
|
| 302 |
+
- **Research and analysis tools**
|
| 303 |
+
- **Competitive programming assistance**
|
| 304 |
+
- **Physics and engineering calculations**
|
| 305 |
+
|
| 306 |
+
---
|
| 307 |
+
|
| 308 |
+
## 🤝 Contributing
|
| 309 |
+
|
| 310 |
+
Found an issue with the imatrix quantizations or have suggestions for improvements? Please open an issue or reach out!
|
| 311 |
+
|
| 312 |
+
---
|
| 313 |
+
|
| 314 |
+
## 📧 Contact & Support
|
| 315 |
+
|
| 316 |
+
- **Developer:** Pink Pixel
|
| 317 |
+
- **GitHub:** [https://github.com/pinkpixel-dev](https://github.com/pinkpixel-dev)
|
| 318 |
+
- **Website:** [https://pinkpixel.dev](https://pinkpixel.dev)
|
| 319 |
+
- **Email:** [admin@pinkpixel.dev](mailto:admin@pinkpixel.dev)
|
| 320 |
+
|
| 321 |
+
---
|
| 322 |
+
|
| 323 |
+
## 🙏 Acknowledgments
|
| 324 |
+
|
| 325 |
+
- **Original Model:** Crystal Think V2 by Pink Pixel
|
| 326 |
+
- **Base Model:** [Qwen/Qwen3-4B](https://huggingface.co/Qwen/Qwen3-4B) by Qwen Team
|
| 327 |
+
- **Quantization Tools:** [llama.cpp](https://github.com/ggerganov/llama.cpp) by Georgi Gerganov
|
| 328 |
+
- **Imatrix Technique:** Advanced quantization methodology for preserving model quality
|
| 329 |
+
- **Training Dataset:** [NVIDIA OpenMathReasoning](https://huggingface.co/datasets/nvidia/OpenMathReasoning)
|
| 330 |
+
|
| 331 |
+
---
|
| 332 |
+
|
| 333 |
+
**Made with ❤️ by Pink Pixel** ✨
|
| 334 |
+
*"Dream it, Pixel it"*
|
| 335 |
+
|
| 336 |
> **💡 Pro Tip:** For the best mathematical reasoning experience, try the **Q5_K_M-imat** or **IQ4_NL-imat** variants - they offer excellent quality retention with the benefits of importance matrix optimization!
|