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@@ -15,57 +15,98 @@ tags:
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  - conditional-image-generation
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  - mathematical-visualization
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  ---
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- # UNDERWORLD Dataset v3
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-
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- ## UNDERWORLD: Fast Inverse Square Root Algorithm
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- Generated with UNDERGROUND: FISR by webXOS
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- Educational visualization of the Quake III Arena optimization algorithm
 
 
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- The UNDERWORLD app by webXOS is available for download in the /underworld/ folder of this repo so users can create their own datasets.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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- - 120 image frames (train split only)
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- - Images: 1280 px width PNGs
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- - Columns: `image` (binary), `imagewidth (px)` (int = 1280)
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- - Visualizes: bit hacks, Newton-Raphson iterations, error surface, 3D math functions
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- - Also includes: numerical_data.csv (regression), metadata.json (conditional)
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- - Size: ~3.5 MB
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- -
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- ### Algorithm Details
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- - Magic Number: 0x5f23aac5
 
 
 
 
 
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  - Newton Iterations: 3
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  - Input Range: 0.1 to 1000
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  - Maximum Error: 1.1742636926798086e+287%
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- - RMS Error: Infinity%
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- ### Files Included
 
 
 
 
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- frames
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- metadata
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- data
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- algorithm
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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- ### Educational Value
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- This dataset demonstrates:
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  1. The Fast Inverse Square Root algorithm implementation
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  2. Error analysis of the approximation
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  3. 3D visualization of mathematical functions
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  4. Bit-level manipulation techniques
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- ### Usage for Training
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  1. Use frames/ for visual sequence learning
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  2. Use numerical_data.csv for regression tasks
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  3. Use metadata.json for conditional generation
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  4. Train models to understand optimization algorithms
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- ### Citation
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  If you use this dataset, please cite:
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  UNDERGROUND: FISR by webXOS, 2027
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- ### License
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  MIT
 
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  - conditional-image-generation
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  - mathematical-visualization
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  ---
 
 
 
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+ [![Website](https://img.shields.io/badge/webXOS.netlify.app-Explore_Apps-00d4aa?style=for-the-badge&logo=netlify&logoColor=white)](https://webxos.netlify.app)
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+ [![GitHub](https://img.shields.io/badge/GitHub-webxos/webxos-181717?style=for-the-badge&logo=github&logoColor=white)](https://github.com/webxos/webxos)
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+ [![Hugging Face](https://img.shields.io/badge/Hugging_Face-🤗_webxos-FFD21E?style=for-the-badge&logo=huggingface&logoColor=white)](https://huggingface.co/webxos)
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+ [![Follow on X](https://img.shields.io/badge/Follow_@webxos-1DA1F2?style=for-the-badge&logo=x&logoColor=white)](https://x.com/webxos)
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+ <div style="
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+ background: #00FF00;
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+ border-left: 4px solid #00FF00;
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+ padding: 1.5rem;
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+ margin: 2rem 0;
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+ font-family: 'Fira Code', 'Courier New', monospace;
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+ color: #00FF00;
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+ border-radius: 0 8px 8px 0;
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+ ">
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+ <pre style="
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+ font-size: 12px;
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+ line-height: 1.2;
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+ margin: 0;
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+ overflow-x: auto;
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+ color: #00FF00;
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+ ">
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+ _ _ _ _______ ___________ _ _ ___________ _ ______
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+ | | | | \ | | _ \ ___| ___ \ | | || _ | ___ \ | | _ \
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+ | | | | \| | | | | |__ | |_/ / | | || | | | |_/ / | | | | |
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+ | | | | . ` | | | | __|| /| |/\| || | | | /| | | | | |
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+ | |_| | |\ | |/ /| |___| |\ \\ /\ /\ \_/ / |\ \| |___| |/ /
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+ \___/\_| \_/___/ \____/\_| \_|\/ \/ \___/\_| \_\_____/___/
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+
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+ </div>
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+ # UNDERWORLD Dataset v3
 
 
 
 
 
 
 
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+ - Visualizes the Fast Inverse Square Root (FISR / Quake III) algorithm.
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+ - 120 rows total (train split only).
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+ - Main content: 1280px PNG image frames showing bit hacks, Newton-Raphson steps, error surfaces, 3D math plots.
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+ - Numerical_data.csv (regression), metadata.json (conditional).
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+ - Size ~3.5 MB. Generated via UNDERGROUND: FISR tool (downloadable in repo).
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+ - Magic Number: 0x5f23aac5
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  - Newton Iterations: 3
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  - Input Range: 0.1 to 1000
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  - Maximum Error: 1.1742636926798086e+287%
 
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+ **Generated with UNDERGROUND: FISR by webXOS, Educational visualization of the Quake III Arena optimization algorithm.**
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+
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+ **The UNDERWORLD app by webXOS is available for download in the /underworld/ folder of this repo so users can create their own datasets.**
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+
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+ ## Use cases:
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+ - Training ML models for fault detection / anomaly detection in time-series or sensor data.
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+ - Simulating hardware faults (bit flips, stuck-at, etc.) for robust AI / embedded ML.
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+ - Reliability engineering: predict system failures under errors.
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+ - Synthetic data for safety-critical systems (automotive, aerospace, IoT) where real fault data is rare.
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+ - Benchmarking error-correction / resilient algorithms.
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+ - Visual sequence learning → train models on math visualization sequences (frame prediction, video understanding).
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+ - Image-to-text / captioning → describe FISR steps from images.
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+ - Visual question answering → QA on algorithm visuals.
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+ - Regression from images → predict error metrics from visualization frames.
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+ - Educational multimodal models → teach bit manipulation / fast math approx.
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+ - Conditional generation → use metadata to condition on input range/error.
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+ - 3D math function visualization benchmark → compare rendering / understanding.
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+ ## Education:
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  1. The Fast Inverse Square Root algorithm implementation
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  2. Error analysis of the approximation
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  3. 3D visualization of mathematical functions
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  4. Bit-level manipulation techniques
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+ ### Usage for Training:
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  1. Use frames/ for visual sequence learning
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  2. Use numerical_data.csv for regression tasks
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  3. Use metadata.json for conditional generation
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  4. Train models to understand optimization algorithms
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+ ### Citation:
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  If you use this dataset, please cite:
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  UNDERGROUND: FISR by webXOS, 2027
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+ ### License:
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  MIT