通过对比物理系统在微小扰动下的响应,实现无需反向传播的自主学习。
Perturbative Contrastive Physical Learning
- 基于输入/边界/参数扰动后的状态对比进行学习
- 弹簧网络和光子电路均成功完成分类任务
- 适合构建无外部处理器的智能物理系统
对扰动的响应是理解物理系统的关键。通过对比系统在略有不同的条件下如何反应,可形成一种学习机制。本文提出扰动对比物理学习(PCPL),一个通用框架:学习源于对输入、边界条件、参数或解释函数受控变化后产生的物理状态对比。该框架统一并扩展了已有方法:平衡传播基于能量系统的自由与受迫平衡态对比,频率传播则提取正弦驱动、频率解调后的响应对比。我们发现,由对比驱动的更新可反映局部敏感性或全局逆问题结构,但无需集中式梯度计算。有效学习几何由系统自身物理响应隐式生成,使学习行为在无外部处理器或显式反向传播的情况下自然出现。我们在两个平台验证了PCPL:(i) 弹簧网络通过测量位移和力来更新键刚度;(ii) 连续变量光子电路通过x分量测量和有限差分法估计雅可比矩阵进行训练。两者均成功完成分类任务。此外,我们还展示了连续变量光子电路可被训练实现模拟乘法,迈向更自主的物理学习系统。
原文摘要 · Abstract (English)
Responses to perturbations are key to understanding physical systems. The ability to contrast such responses by comparing how a system reacts under slightly different conditions provides a mechanism for learning. Here, we introduce Perturbative Contrastive Physical Learning (PCPL), a general framework in which learning emerges from measurable contrasts between physical states produced by controlled changes to inputs, boundary conditions, parameters, or interpreter functions. PCPL unifies and extends prior approaches: Equilibrium Propagation is rooted in contrasts between free and nudged equilibria in energy-based systems, while Frequency Propagation corresponds to contrasts extracted from sinusoidally driven, frequency-demodulated responses. We show that contrast-driven updates can reflect either local sensitivities or global inverse-problem structure, yet do not require centralized gradient computation. Instead, effective learning geometry emerges implicitly from the system's own physical response, allowing learning behavior to arise without an external processor or explicit backpropagation. We demonstrate PCPL in two platforms: (i) spring networks that update bond stiffness using measured displacements and forces, and (ii) continuous-variable photonic circuits trained via x quadrature measurements and finite-difference estimates of the Jacobian. Both platforms successfully learn classification tasks. We further show that a continuous-variable photonic circuit can be trained to implement analog multiplication, illustrating a step toward more autonomous physical learning systems.
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