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📈 Pattern Prediction (Time Series)
Task: Predict next N points in oscillatory data
Traditional LSTM Time:
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Circle Phase Prediction:
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Accuracy Traditional:
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Accuracy Circle:
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Speedup Factor:
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🔄 Periodicity Detection
Task: Find period in noisy periodic signal
FFT (Brute Force) Time:
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Circle Cycle Detection:
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Detected Period (FFT):
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Detected Period (Circle):
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Speedup Factor:
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🎯 State Prediction (N-Body)
Task: Predict gravitational trajectory
N-Body Integration Time:
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Phase Drift Prediction:
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Error Traditional:
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Error Circle:
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Speedup Factor:
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🔗 Entangled State Tracking
Task: Track 2 entangled particles (Bell state)
Separate Storage Time:
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Shared Circle Storage:
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Memory Traditional:
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Memory Circle:
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Speedup Factor:
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⚫ Singularity/Collapse Detection
Task: Detect circle collapse (r → 0)
Traditional Detection:
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Deviation Check (ε):
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False Positive Rate:
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Detection Accuracy:
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Speedup Factor:
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🌀 Paradox Resolution (Liar)
Task: Resolve circular logical statements
Recursive Logic Time:
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Phase Oscillation Time:
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Resolution Depth:
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Resolution Steps:
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Speedup Factor:
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📊 Overall Benchmark Summary
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Average Speedup Factor
Efficiency = (1/N) × Σ(Δi/ωi) where Δ = Entropy Reduction, ω = Compute Cost
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