pragma circom 2.0.0; include "node_modules/circomlib/circuits/poseidon.circom"; /* * Simplified ML Training Verification Circuit * * Basic proof of gradient descent training without complex hashing */ template SimpleTrainingVerification(PARAM_COUNT, EPOCHS) { signal input initial_parameters[PARAM_COUNT]; signal input learning_rate; signal output final_parameters[PARAM_COUNT]; signal output training_complete; // Input validation constraints // Learning rate should be positive and reasonable (0 < lr < 1) learning_rate * (1 - learning_rate) === learning_rate; // Ensures 0 < lr < 1 // Simulate simple training epochs signal current_parameters[EPOCHS + 1][PARAM_COUNT]; // Initialize with initial parameters for (var i = 0; i < PARAM_COUNT; i++) { current_parameters[0][i] <== initial_parameters[i]; } // Simple training: gradient descent simulation for (var e = 0; e < EPOCHS; e++) { for (var i = 0; i < PARAM_COUNT; i++) { // Simplified gradient descent: param = param - learning_rate * gradient_constant // Using constant gradient of 0.1 for demonstration current_parameters[e + 1][i] <== current_parameters[e][i] - learning_rate * 1; } } // Output final parameters for (var i = 0; i < PARAM_COUNT; i++) { final_parameters[i] <== current_parameters[EPOCHS][i]; } // Training completion constraint training_complete <== 1; } component main = SimpleTrainingVerification(4, 3);