Neural Network Topology Simulator

Comparing Traditional Neural Networks with Constraint Theory Geometric Networks

Traditional Neural Network

Matrix Multiplication + Activation
Parameters: 0
Activation Sum: 0.00
Gradient Flow: 0.00

Constraint Theory Network

Geometric Constraint Satisfaction
Constraints: 0
Satisfaction: 0.00
Violations: 0

Input Controls

0.0
0.0

Visualization

Training

Epoch: 0

Training Loss Comparison

Traditional NN Constraint NN

Traditional Neural Network

  • Neurons: Weighted sum + activation function
  • Learning: Gradient descent on loss function
  • Forward Pass: y = σ(Wx + b)
  • Backprop: Chain rule for gradients
  • Parameters: Weights + biases per connection

Constraint Theory Network

  • Neurons: Geometric constraint satisfaction points
  • Learning: Constraint optimization
  • Forward Pass: Pythagorean snapping to constraints
  • Backprop: Constraint violation propagation
  • Parameters: Geometric constraints (distances, angles)

Key Differences

  • Activation: σ(x) vs geometric snapping
  • Weights: Matrix vs constraint edges
  • Optimization: Gradient descent vs constraint satisfaction
  • Interpretability: Black box vs geometric intuition
  • Robustness: Sensitive vs geometric invariants