| | --- |
| | language: |
| | - en |
| | tags: |
| | - neural-network |
| | - pytorch |
| | - fractal |
| | - mandelbrot |
| | - function-learning |
| | - math |
| | --- |
| | Neural Networks can learn any function, even capturing fractal level details. |
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| | Approximated the #Mandelbrot set, a classic chaotic fractal, an infinitely complex boundary generated by a simple formula in the complex plane. Every zoom reveals more intricate detail, forever. |
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| | In this small-scale project, I trained a neural network to learn the fractal shape from pixel coordinates using PyTorch, NumPy, and Matplotlib. This isn’t curve-fitting. This is pure function learning. |
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| | - Added positional encodings to represent spatial patterns |
| | - Increasing epochs and depth for better generalization |
| | - And tuning resolution + loss functions |
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| | The model approximated the Mandelbrot set with stunning accuracy, no image inputs, just math. |
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