arXiv:2606.09922cs.ITcs.AI2026-06

重新定义脑电压缩极限,把任务和模型纳入考量

The Bioelectrical Information Theory: Investigating the theoretical compression limit of bioelectrical signals under artificial intelligence

论文配图:The Bioelectrical Information Theory: Investigating the theoretical compression limit of bioelectrical signals under artificial intelligence
图 1 · 摘自论文原文
  • 从信号、生理到语义三层重构压缩框架
  • 用条件熵替代原始熵,降低压缩所需带宽
  • 适合神经接口与智能系统研发者阅读

生物电信号在脑机接口中的采集规模正逼近带宽瓶颈。当前压缩仍以波形保真度为标准,受限于原始信号的熵。本文提出信息论框架,指出生物电信号的有效信息不仅取决于信号保真度,还受生理结构、模型能力及下游任务需求影响。将生物电信号压缩建模为三级层次:在信号层面,噪声被剥离至其对潜在生理源的信息贡献;在生理层面,参数化编码器将净化信号映射为紧凑、结构化且量化表示;在语义层面,任务无关信息被丢弃,深度学习模型利用因果依赖关系,以条件熵取代边缘熵。这一视角将生物电信号的压缩极限重新定义为模型与任务相关的量,而非波形固有属性。随着表达能力更强的模型融入神经与生理接口,生物电信号压缩或将从传输信号本身转向仅传输任务解释所需的残差信息。

原文摘要 · Abstract (English)

Bioelectrical signals are increasingly acquired at scales that challenge the bandwidth of brain-computer interfaces. However, their compression is still often framed as a problem of waveform preservation, limited by the entropy of the raw signal. Here we propose an information-theoretic framework in which the effective information of bioelectrical data is determined not only by signal fidelity, but also by physiological structure, model capacity and downstream task requirements. We formulate bioelectrical compression as a three-level hierarchy. At the signal level, noise is reduced to the information they carry about latent physiological sources. At the physiological level, parametric encoders map purified signals into compact, structured and quantized representations. At the semantic level, task-irrelevant information is discarded, while deep learning models exploit causal dependencies to replace marginal entropy with conditional entropy. This perspective reframes the compression limit of bioelectrical signals as a model- and task-conditioned quantity rather than a fixed property of the waveform. As increasingly expressive models become integrated with neural and physiological interfaces, bioelectrical compression may shift from transmitting signals to transmitting only the residual information required for task-level interpretation.

脑机接口信息论压缩深度学习

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