"""GRPO reward shaping and credit assignment, as pure functions over per-episode numbers. Settings follow the reference profile MiMo released with MiMo-V2.6 (recipes/arvo/REFERENCE_PENALTIES.json in XiaomiMiMo/verl): * reward: 1 correct and grounded, 0.5 correct but the answer never appeared in a tool result, 0 else; * in-group length penalty on passing rollouts only, and only when more than half the group passes: excess = max over (turns, tool-input tokens, generated tokens) of value / p30-of-passes - 1, penalty = 0.2 * min(excess, 1) ** 1.5; * advantage = shaped reward - group mean (no std normalization); groups whose shaped rewards are all equal carry no signal and are dropped (dynamic sampling); * segment-level penalty for bad tool-call turns (malformed, unknown tool, bad arguments, or a repeated call): in positive episodes those tokens get no credit, in negative ones double blame, and a batch-wide rescale of the clean tokens keeps each sign's total advantage mass unchanged. """ from __future__ import annotations from dataclasses import dataclass import numpy as np @dataclass(frozen=True) class LengthPenalty: max_penalty: float = 0.2 threshold: float = 0.0 # tolerated excess before any penalty saturate: float = 1.0 # excess at which the penalty is maximal (2x the anchor) exponent: float = 1.5 pass_threshold: float = 0.5 anchor_quantile: float = 0.3 min_pass_rate: float = 0.5 # apply only when pass fraction is strictly above this def base_reward(correct: bool, grounded: bool, ungrounded: float = 0.5, invented: bool = False, invented_penalty: float = 0.0) -> float: """1 = correct and read from a tool result, `ungrounded` = correct but never seen, 0 = wrong, -invented_penalty = wrong and seen nowhere (made up). So within a group, admitting NOT_FOUND beats inventing an answer, while a correct answer still beats both.""" if correct: return 1.0 if grounded else ungrounded return -invented_penalty if invented else 0.0 def length_deltas(rewards: list[float], signals: list[dict], cfg: LengthPenalty = LengthPenalty()) -> list[float]: """Non-positive reward deltas for one group. signals: per episode {metric: value}.""" n = len(rewards) out = [0.0] * n passed = [i for i in range(n) if rewards[i] >= cfg.pass_threshold] if not passed or len(passed) / n <= cfg.min_pass_rate: return out metrics = signals[0].keys() anchor = {m: float(np.percentile([signals[i][m] for i in passed], cfg.anchor_quantile * 100)) for m in metrics} for i in passed: ex = [max(0.0, signals[i][m] / anchor[m] - 1.0) for m in metrics if anchor[m] > 0] e = max(ex, default=0.0) if e <= cfg.threshold: continue t = min((e - cfg.threshold) / (cfg.saturate - cfg.threshold), 1.0) out[i] = -cfg.max_penalty * t ** cfg.exponent return out def group_advantages(rewards: list[float]) -> list[float]: mu = sum(rewards) / len(rewards) return [r - mu for r in rewards] def has_signal(rewards: list[float], eps: float = 1e-9) -> bool: return max(rewards) - min(rewards) > eps def signed_rebalance(adv: list[float], n_flag: list[int], n_clean: list[int], kappa: float = 2.0, min_scale: float = 0.5, max_scale: float = 2.0) -> list[tuple[float, float]]: """Per episode (weight on clean tokens, weight on flagged tokens); token advantage = A * weight. Batch-wide: positive episodes drop credit on flagged tokens and scale clean ones by alpha; negative episodes put kappa x blame on flagged tokens and scale clean ones by beta, so that (unless clipped) the total positive and negative advantage mass is conserved.""" hp = sum(a * f for a, f in zip(adv, n_flag) if a > 0) cp = sum(a * c for a, c in zip(adv, n_clean) if a > 0) hn = sum(-a * f for a, f in zip(adv, n_flag) if a < 0) cn = sum(-a * c for a, c in zip(adv, n_clean) if a < 0) alpha = min(max_scale, 1 + hp / cp) if cp > 0 else 1.0 beta = max(min_scale, 1 - (kappa - 1) * hn / cn) if cn > 0 else 1.0 return [(alpha, 0.0) if a > 0 else (beta, kappa) if a < 0 else (0.0, 0.0) for a in adv]