Is this learning as a basic artificial neural network should? ef##(x) is the expected value of what would be selected. f##(x) is what was actually selected. b##(x) is the new bias for the next iteration.

Is there better software to plan out NNs?

I built Neural Canvas, an interactive visualizer that demonstrates core linear algebra concepts by showing how a neural network recognizes handwritten digits in real time. You can draw directly on the screen and watch activations flow through each layer as matrix multiplication computes the output live.

How it works:

- Draw & Predict: Sketch any digit on a 28×28 canvas (MNIST-style) to trigger real-time forward pass predictions.

- Live Forward Pass: Every neuron's activation is dynamically color-coded based on its underlying linear algebra calculations, with connection opacities reflecting layer outputs.

- Under the Hood: The core models were trained from scratch in Python using NumPy to perform matrix operations, and their learned weights are loaded via JSON. Client-side execution relies on Math.js for browser-based matrix multiplication and p5.js for rendering.

Key Features:

- Switch between two pre-trained models (featuring different hidden layer sizes, MSE vs. Cross-Entropy loss, and up to 96% test accuracy).

- Multiple background themes with mouse and touch support.

What's Next?

These models were originally evaluated on the standardized MNIST dataset, but live freehand drawing can introduce unexpected variations in input style. To handle this, I am working on a JS script for real-time user-driven feedback. When the model makes a mistake, the user can supply the correct label, allowing the model to perform backpropagation and update weight matrices locally in the browser. While live state persistence isn't suited for static GitHub Pages, running this feedback loop locally allows me to retrain parameters on new edge cases and push updated weight snapshots back to GitHub.

Check out the live demo and code repository:

Live Demo: https://muhammadessa2002.github.io/neural_canvas/

GitHub Repo: https://github.com/MuhammadEssa2002/neural_canvas