arXiv:2606.17028cs.LGcs.AI2026-06

用光学衍射实现无学习的长期时间序列预测,性能超越主流数字模型。

HAMON: Passive Optical Sequence Mixing for Long-Horizon Forecasting

  • 通过光学相位掩模与自由空间衍射,直接在光场中完成预测计算。
  • 在ETTm2数据集上所有预测时长均优于最强数字基线,最高降低14%均方误差。
  • 适合对低延迟、高能效推理有需求的长期预测场景。

简单线性与频域模型在长期时间序列预测中仍具竞争力,近期机制研究表明,标准基准可能无需变压器所需的密集叠加表示。这引出一个基础问题:若核心预测算子通常为低复杂度且近似线性,是否必须以学习的数字时序混合方式实现?我们提出HAMON,一种被动衍射光学预测核心:历史值被编码至光学孔径,未来位置保持黑暗,级联可训练相位掩模结合自由空间衍射,直接在输出场中塑造预测结果。推理时仅需一次被动光学传播,无需可训练数字时序混合层。在标准基准上,HAMON在ETTm2上所有时长均超越最强数字基线,在ETTh2上除最长时长外均表现更优,均方误差最高降低14%,且跨时长表现一致。在Weather数据集上表现良好,但在高通道流量与电力数据集上略逊于最强基线。相位编码、强度兼容读出及相位打乱消融实验,结合TorchOptics跨仿真验证,表明预测源自承载数据的光学场而非数字预测头。由于采用标准傅里叶光学,HAMON为光学硬件与被动物理时序混合设定了具体目标。

原文摘要 · Abstract (English)

Simple linear and frequency-domain models remain surprisingly competitive in long-horizon time-series forecasting, and recent mechanistic evidence suggests that standard forecasting benchmarks may not require the dense superposed representations that make transformers powerful in other domains. This raises a substrate-level question: if the core forecasting operator is often low-complexity and approximately linear, does it need to be implemented as learned digital temporal mixing? We introduce HAMON, a passive diffractive optical forecasting core in which historical values are encoded onto an optical aperture, future positions are left dark, and cascaded trainable phase masks with free-space diffraction shape the forecast directly in the output field. At inference, prediction is performed by a single passive optical propagation pass with no trainable digital sequence-mixing layer. Across standard benchmarks, HAMON outperforms the strongest digital baselines considered on ETTm2 at all horizons and on ETTh2 at all but the longest horizon, improving MSE by up to 14\% and doing so consistently across horizons rather than at isolated points. It is competitive on Weather and trails the strongest baselines on the remaining ETT settings and on the high-channel-count Traffic and Electricity datasets. Phase encoding, intensity-compatible readout, and phase-scrambling ablations, together with a TorchOptics cross-simulator check, indicate that the forecasts arise from the data-bearing optical field rather than from a digital forecasting head. Because the passive core uses standard Fourier optics, HAMON defines a concrete target for optical hardware and for passive physical sequence mixing.

时间序列光学计算低延迟

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