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On the Universal Approximation Capability of Stacked Intelligent Metasurfaces — arXiv:2609.35524

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.35524
License (as archived): CC0-1.0
Archived: 2026-10-08T01:37:06.944Z
SHA-256 of the archived text: 42c0f5b8b9cae38c9212e7233658a7c9adef873c51e4a71bf5548ade9c06cc88
Stable URL of this page: https://metraipolis.com/documento/dc_4ce20bc4e202

How to cite

On the Universal Approximation Capability of Stacked Intelligent Metasurfaces — arXiv:2609.35524 — arXiv (en), https://arxiv.org/abs/2609.35524 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4ce20bc4e202 (Metraipolis archive dc_4ce20bc4e202, sha256 42c0f5b8b9cae38c9212e7233658a7c9adef873c51e4a71bf5548ade9c06cc88)

BibTeX

@misc{dc4ce20bc4e202,
  title = {On the Universal Approximation Capability of Stacked Intelligent Metasurfaces — arXiv:2609.35524},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.35524},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4ce20bc4e202; sha256 42c0f5b8b9cae38c9212e7233658a7c9adef873c51e4a71bf5548ade9c06cc88},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.35524. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Wave-domain processing is an emerging paradigm in which signal-processing operations are partially shifted from the digital domain to the electromagnetic (EM) domain to reduce complexity, energy consumption, and latency in next-generation wireless systems. Stacked intelligent metasurfaces (SIMs) are a promising technology for wave manipulation. Although numerous studies have addressed the numerical design of SIMs for specific tasks, no theoretical results have yet established whether a prescribed SIM architecture can approximate an arbitrary complex linear mapping, i.e., whether it possesses a universal approximation capability. To address this question, this paper establishes fundamental theorems that provide necessary and sufficient closed-form conditions under which a given SIM architecture can serve as a universal approximator of complex linear transformations.

Tema degli esploratori: statistica e scienza dei dati (retro-catalogo arXiv: annunci del 2026-09-29 in eess.SP).
Categorie arXiv: Signal Processing (eess.SP).
Pagina del lavoro: https://arxiv.org/abs/2609.35524 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T01:11:02.846Z dalla pagina https://arxiv.org/catchup/eess.SP/2026-09-29?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).