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秩坍缩可恢复,而$|Q|$增长不可恢复:高UTD Soft Actor-Critic中价值发散的超前样本外预警

Rank Collapse Is Recoverable, Growing $|Q|$ Is Not: Out-of-Sample Early Warning for Value Divergence in High-UTD Soft Actor-Critic

Tianqi Bu, YuXuan Peng, Junteng Tu, Henghui Xiao

arXiv 2609.32819首次发表:更新:

AI 中文总结

本研究分离高UTD下SAC评论家的表示坍缩与$|Q|$增长,发现早期$|Q|$增长速率可预测价值发散,据此中止可节省计算,而秩坍缩可恢复。

AI 中文摘要

提高更新-数据比(UTD)会以两种方式破坏离策略评论家,统称为“可塑性损失”:表示坍缩和价值幅度$|Q|$的增长。我们在使用缩放评论家(宽度2048,无归一化)的Soft Actor-Critic(SAC)中将它们分离。坍缩是可存活的:在UTD比率为16时,HalfCheetah评论家中大多数单元处于休眠状态但仍能继续学习,而训练守卫(其停止损失或$|Q|$爆炸的运行)从未标记它们。在一个高UTD SAC配置内,运行开始时彼此接近,而评论家的$\log_{10}|Q|$在步骤15k时攀升的距离,即其早期增长,按守卫标记它们的速度对运行进行排序。在15k时,被标记运行的$|Q|$中位数低于其标记水平一百多倍,然而攀升速率已经对标记进行了排序(在Walker2d上Harrell's C和样本外AUC为0.78,在Ant上为0.98,UTD比率为4)。休眠状态则不然。基于此速率中止可节省约十分之一的保留Walker2d计算量,并保持实时净收益为正。LayerNorm评论家降低了速率,在UTD比率为4时移除了Walker2d上的标记,并降低了回报。

英文摘要

Raising the update-to-data (UTD) ratio breaks off-policy critics in two ways grouped as "plasticity loss": collapsing representations and growing value magnitude $|Q|$. We separate them in Soft Actor-Critic (SAC) with scaled critics (width 2048, no normalization). Collapse is survivable: at UTD ratio 16, HalfCheetah critics with most units dormant keep learning, and the training guard, which stops runs whose loss or $|Q|$ explodes, never flags them. Within one high-UTD SAC configuration, runs start close together, and how far a critic's $\log_{10}|Q|$ has climbed by step 15k, its early growth, ranks the runs by how soon the guard flags them. At 15k, a flagged run's $|Q|$ sits a median of over a hundredfold below its flag level, yet the climb's rate already orders the flags (Harrell's C and out-of-sample AUC 0.78 on Walker2d, 0.98 on Ant, at UTD ratio 4). Dormancy does not. Aborting on this rate saves about a tenth of held-out Walker2d compute and stays net-positive live. A LayerNorm critic lowers the rate, removes the flag on Walker2d at UTD ratio 4 and lowers the return.

Comments31 pages, 9 figures; preprint under review

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