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Topology-Preserving Deep Joint Source-Channel Coding for Semantic Communication

arXiv cs.LG / 3/19/2026

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Key Points

  • TopoJSCC introduces a topology-aware deep joint source-channel coding framework to preserve global structural information in semantic communications rather than only pixel-wise fidelity.
  • The method adds persistent-homology regularizers that penalize Wasserstein distances between original and reconstructed images' persistence diagrams and between latent features before and after channel transmission to promote a robust latent manifold.
  • It is trained end-to-end and does not require side information, simplifying deployment in practical networks.
  • Experimental results show improved topology preservation and higher PSNR in challenging low-SNR and bandwidth-constrained regimes.

Abstract

Many wireless vision applications, such as autonomous driving, require preservation of global structural information rather than only per-pixel fidelity. However, existing Deep joint source-channel coding (DeepJSCC) schemes mainly optimize pixel-wise losses and provide no explicit protection of connectivity or topology. This letter proposes TopoJSCC, a topology-aware DeepJSCC framework that integrates persistent-homology regularizers to end-to-end training. Specifically, we enforce topological consistency by penalizing Wasserstein distances between cubical persistence diagrams of original and reconstructed images, and between Vietoris--Rips persistence of latent features before and after the channel to promote a robust latent manifold. TopoJSCC is based on end-to-end learning and requires no side information. Experiments show improved topology preservation and peak signal-to-noise ratio (PSNR) in low signal-to-noise ratio (SNR) and bandwidth-ratio regimes.