Recursive AI Feedback Loop Simulator

Anthropic Self-Improvement Paradigm Live Loop Engine
Control Levers & Gains Math.js Matrix Integrator
Dario Amodei (Anthropic): "I don't think it's a moment in time. I think it's a continuous process... AI improving itself continuously."
1.40
0.85
0.90
0.12
10.0
1
State Equation: $C_{t+1} = C_t + \Delta t \cdot \left[ K_c \cdot \eta_d \cdot F_{e, t-\tau} \cdot C_t^{1-\gamma_h} \right] \cdot \left(1 - \frac{C_t}{S_{max}}\right)$
✔ Autonomous System Stability Verified
Continuous Loop Network Topology Animated Signal Signal-Flow Pulse
Final Capability Score 8.42 +742% gain over base
Primary Limiting Factor Hardware Scaling Decay exponent $\gamma_h = 0.12$
Loop System Stability Controlled Exponential Eigenvalue $\lambda = 1.08$
Saturation Step Threshold 38 Step where $\frac{dC}{dt} < 0.02$
Real-Time Phase Trajectory & Capability Acceleration 50 Continuous Simulation Cycles
Step-by-Step Telemetry Audit Log
Step Capability ($C_t$) Delta Velocity ($\Delta C$) Synthetic Data Quality Feedback Fidelity Status