تقرير
Reply to 'Comments on Graphon Signal Processing' [arXiv:2310.14683]
| العنوان: | Reply to 'Comments on Graphon Signal Processing' [arXiv:2310.14683] |
|---|---|
| المؤلفون: | Ruiz, Luana, Chamon, Luiz F. O., Ribeiro, Alejandro |
| سنة النشر: | 2024 |
| مصطلحات موضوعية: | Electrical Engineering and Systems Science - Signal Processing |
| الوصف: | This technical note addresses an issue [arXiv:2310.14683] with the proof (but not the statement) of [arXiv:2003.05030, Proposition 4]. The statement of the proposition is correct, but the proof as written in [arXiv:2003.05030] is not and due to a typo in the manuscript, a reference to the correct proof is effectively missing. In the sequel, we present [arXiv:2003.05030, Proposition 4] and its proof. The proof follows from results in [2] that we reproduce here for clarity of exposition. Since the statement of the proposition remains correct, no change in the results of [arXiv:2003.05030] are required. In particular, Lemma 3 and Lemma 4 showing spectral convergence of graphs to graphons, Theorem 1 showing convergence of the GFT to the WFT, and Theorems 3 and 4 showing convergence of graph to graphon filters, remain valid. Comment: Reply to 'Comments on Graphon Signal Processing' |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.05326 |
| رقم الأكسشن: | edsarx.2401.05326 |
| قاعدة البيانات: | arXiv |
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