随机分箱编码在安全压缩中同时实现高保真、低失真和强保密性。
Secure Rate-Distortion-Perception: A Randomized Distributed Function Computation Approach for Realism

- 采用随机分箱法实现安全率失真感知均衡
- 在无噪声信道下达到理论最优安全率失真区域
- 适合对隐私与图像质量并重的压缩系统
在需要保持重建数据感知质量的应用中,如神经图像压缩,会面临基本的率-失真-感知(RDP)权衡。当压缩数据通过公开通信信道传输时,安全风险随之产生。本文研究了在无噪声信道和具有相关噪声分量的广播信道(BCs)上实现极小信息泄露的安全RDP问题。对于无噪声信道,精确刻画了安全RDP区域;对于BCs,推导出一个内界,并证明其在一类更强信道上是紧的。当存在无限共随机性时,分离源信道编码被证明是最优的。此外,在编码器和解码器均拥有与源相关的侧信息且信道为无噪声时,建立了精确的RDP区域。若仅解码器有侧信息,也给出了一个内界,并在特定情形下证明其精确。二进制与高斯示例表明,共随机性可显著降低安全RDP中的通信速率,这与标准率失真设置不同。结果说明,基于随机分箱的编码能同时实现强保密性、低失真和高感知质量。
原文摘要 · Abstract (English)
Fundamental rate-distortion-perception (RDP) trade-offs arise in applications requiring maintained perceptual quality of reconstructed data, such as neural image compression. When compressed data is transmitted over public communication channels, security risks emerge. We therefore study secure RDP under negligible information leakage over both noiseless channels and broadcast channels, BCs, with correlated noise components. For noiseless channels, the exact secure RDP region is characterized. For BCs, an inner bound is derived and shown to be tight for a class of more-capable BCs. Separate source-channel coding is further shown to be optimal for this exact secure RDP region with unlimited common randomness available. Moreover, when both encoder and decoder have access to side information correlated with the source and the channel is noiseless, the exact RDP region is established. If only the decoder has correlated side information in the noiseless setting, an inner bound is derived along with a special case where the region is exact. Binary and Gaussian examples demonstrate that common randomness can significantly reduce the communication rate in secure RDP settings, unlike in standard rate-distortion settings. Thus, our results illustrate that random binning-based coding achieves strong secrecy, low distortion, and high perceptual quality simultaneously.
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