arXiv:2607.18829cs.LGmath-ph2026-07

受肾脏机制启发,提出可微分的迭代网络层,实现稳定梯度放大。

Countercurrent Multiplier Networks: A Renal-Inspired Iterative Operator with Provably Bounded Fixed-Point Dynamics

  • 借鉴肾脏逆流倍增原理,设计可微分迭代算子
  • 单次梯度不超过200 mOsm,实现4倍浓度提升
  • 适合需要稳定迭代优化的模型,如生成任务

哺乳动物肾脏通过一种在现有神经架构中无对应机制的逆流倍增系统浓缩尿液:两条反向流动在发夹状结构处交汇,将弱幅度有界局部泵循环放大,形成大轴向梯度,使浓度提升4倍,且任意位置梯度均不超过200 mOsm。本文将该机制形式化为可微分序列算子——逆流倍增(Countercurrent Multiplier, CCM)层,并将其作为残差迭代精炼的替代方案进行研究。

原文摘要 · Abstract (English)

The mammalian kidney concentrates urine using a mechanism with no analogue in current neural architectures: the countercurrent multiplier. Two anti-parallel flows joined at a hairpin recirculate a weak magnitude-bounded local pump into a large axial gradient achieving a four-fold concentration increase from a single-effect gradient that never exceeds 200 mOsm at any point. We formalize this mechanism as a differentiable sequence operator the Countercurrent Multiplier (CCM) layer and study it as an alternative to residual iterative refinement.

神经架构逆流机制可微分算子

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