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Structural Certification Filtering on Atari-based environment (|S|=100, |A|=5, T=20000) (test)

0.056Tightnessstructural certification (Ours)
0.05220.077850.10350.12915Jun 23, 2026

Evaluation results

MethodLinks
structural certification (Ours)Filter threshold (Delta_f)=0.10, Horizon (n)=102026.060.05657.30.024
structural certification (Ours)Filter threshold (Delta_f)=0.08, Horizon (n)=102026.060.05752.70.024
structural certification (Ours)Filter threshold (Delta_f)=0.05, Horizon (n)=102026.060.05844.90.025
structural certification (Ours)Filter threshold (Delta_f)=0.03, Horizon (n)=102026.060.0638.60.026
structural certification (Ours)Filter threshold (Delta_f)=0.01, Horizon (n)=102026.060.06131.20.028
structural certification (Ours)Filter threshold (Delta_f)=0.10, Horizon (n)=202026.060.06345.20.027
structural certification (Ours)Filter threshold (Delta_f)=0.08, Horizon (n)=202026.060.06440.50.028
structural certification (Ours)Filter threshold (Delta_f)=0.05, Horizon (n)=202026.060.06633.80.029
structural certification (Ours)Filter threshold (Delta_f)=0.03, Horizon (n)=202026.060.06728.10.03
structural certification (Ours)Filter threshold (Delta_f)=0.01, Horizon (n)=202026.060.06922.50.032
structural certification (Ours)Filter threshold (Delta_f)=0.10, Horizon (n)=502026.060.07634.50.035
structural certification (Ours)Filter threshold (Delta_f)=0.08, Horizon (n)=502026.060.07730.10.036
structural certification (Ours)Filter threshold (Delta_f)=0.05, Horizon (n)=502026.060.07924.20.037
structural certification (Ours)Filter threshold (Delta_f)=0.03, Horizon (n)=502026.060.08119.70.039
structural certification (Ours)Filter threshold (Delta_f)=0.01, Horizon (n)=502026.060.08314.80.041
structural certification (Ours)Filter threshold (Delta_f)=0.10, Horizon (n)=1002026.060.08926.10.045
structural certification (Ours)Filter threshold (Delta_f)=0.08, Horizon (n)=1002026.060.09122.80.046
structural certification (Ours)Filter threshold (Delta_f)=0.05, Horizon (n)=1002026.060.09317.60.048
RichensFilter threshold (Delta_f)=0.10, Horizon (n)=102026.060.094——
structural certification (Ours)Filter threshold (Delta_f)=0.03, Horizon (n)=1002026.060.09513.40.05
RichensFilter threshold (Delta_f)=0.08, Horizon (n)=102026.060.095——
RichensFilter threshold (Delta_f)=0.05, Horizon (n)=102026.060.097——
structural certification (Ours)Filter threshold (Delta_f)=0.01, Horizon (n)=1002026.060.0989.60.053
RichensFilter threshold (Delta_f)=0.03, Horizon (n)=102026.060.099——
RichensFilter threshold (Delta_f)=0.01, Horizon (n)=102026.060.101——
RichensFilter threshold (Delta_f)=0.10, Horizon (n)=202026.060.106——
RichensFilter threshold (Delta_f)=0.08, Horizon (n)=202026.060.107——
RichensFilter threshold (Delta_f)=0.05, Horizon (n)=202026.060.109——
RichensFilter threshold (Delta_f)=0.03, Horizon (n)=202026.060.111——
RichensFilter threshold (Delta_f)=0.01, Horizon (n)=202026.060.113——
RichensFilter threshold (Delta_f)=0.10, Horizon (n)=502026.060.123——
RichensFilter threshold (Delta_f)=0.08, Horizon (n)=502026.060.124——
RichensFilter threshold (Delta_f)=0.05, Horizon (n)=502026.060.127——
RichensFilter threshold (Delta_f)=0.03, Horizon (n)=502026.060.129——
RichensFilter threshold (Delta_f)=0.01, Horizon (n)=502026.060.132——
RichensFilter threshold (Delta_f)=0.10, Horizon (n)=1002026.060.141——
RichensFilter threshold (Delta_f)=0.08, Horizon (n)=1002026.060.143——
RichensFilter threshold (Delta_f)=0.05, Horizon (n)=1002026.060.145——
RichensFilter threshold (Delta_f)=0.03, Horizon (n)=1002026.060.148——
RichensFilter threshold (Delta_f)=0.01, Horizon (n)=1002026.060.151——