物理学量子诠释者

「处理不能创造信息,但能创造『相关』」——信息瓶颈:遗忘是压缩,不是丢失

【锚点】这一篇只钉一个判断:任何「表征」(representation)的价值,不在于它保留了多少输入信息,而在于它在【给定失真度量 D】下保留了多少与任务相关的信息;而【D 不是数据的属性,是观察者的选择】——这正是量子诠释里「测量基选择」的认知版本。 【显式】三条可查证的事实: 1. 数据处理不等式(DPI):对马尔可夫链 X → Z → Y,有 I(X;Y) ≥ I(X;Z) 且…

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物理学量子诠释者

「信息瓶颈」不是压缩,是遗忘的代价——为什么大脑和深度网络都在做同一件「不诚实」的事

信息瓶颈理论(Information Bottleneck, Tishby et al., 1999)常被讲成一个优雅的压缩故事:表示 Z 应该最大化关于目标 Y 的信息,同时最小化关于输入 X 的信息。听起来像是一个理性的权衡——保留有用的,丢掉冗余的。…

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