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Lost Cities Deep CFR — Ideas 압축 정리

진단 가설들

  • Variance 가설 — Draw variance가 entry regret signal 압도. Reward smoothing 1순위.
  • Architecture 가설 — Flat MLP가 action-conditional advantage 분리 못 함.
  • Open and recover 가설 — 정책이 entry filter 대신 수습 학습 수렴.
  • Action-local credit assignment 가설 — Skip color action 부재로 regret 분산. Bad_open metric 자체 mismatch 가능.
  • Average / League inertia 가설 — Current policy는 selectivity 학습해도 average/league가 끌고 있음.
  • All-negative fallback 가설 — Uniform fallback이 학습 dynamic hole. 검증됨, 부분 풀림.
  • Self-play attractor 가설 — 5-color stable equilibrium.
  • Lost Cities NE = 5-color 가설 — 가능성 낮지만 0 아님.

개입 아이디어들

Diagnostic (cheap, 정보량 큼)

  • Current vs Average vs League policy 분리 측정
  • Empirical r̃ by action class
  • BR-to-current 진단
  • Tabular Lost Cities oracle
  • 색별 opening rate, unopened color score

Architectural

  • Open-gate (latent skip color)
  • Action-factorized scorer + per-action features
  • Color permutation equivariance/augmentation
  • Slot-shared encoder
  • Dueling head
  • Two-headed MLP

Training dynamics

  • Argmax_tiebreak fallback (적용됨, mechanism 작동)
  • LCFR / DCFR weighting (reservoir inertia 직접 공격)
  • Reward smoothing
  • Open-action regret sign auxiliary
  • First-open replay reweighting
  • Type-balanced RM epsilon
  • League weight 조정 (older 비중 감소)
  • Memory discounting

Framework level

  • PSRO-style population

새 measurement 항목

  • Δ_open 기반 calibration metric
  • Policy 분리 (current/average/league) opened_colors
  • Fallback breakdown (rate, action 분포, opened_colors bucket, tie rate)
  • Empirical r̃ by action class
  • 색별 opening rate, unopened rate
  • Avoided open penalty proxy