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Recurrent Sinusoidal INRs for Efficient High-Fidelity Representation

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<strong>Accepted to ECCV 2026 (Poster)</strong></p>\n<p>We study sinusoidal recurrence as an iterative mechanism for harmonic spectral enrichment in implicit neural representations (INRs). Our analysis reveals that sinusoidal activations induce a harmonic line spectrum, providing a spectral account of how recurrent unrolling enriches the effective spectral support. We realize this principle with a shared sinusoidal block that iteratively refines the latent representation. We empirically validate the resulting spectral behavior against feed-forward INRs, non-sinusoidal recurrent variants, and equilibrium-style sinusoidal models. Complementing this analysis, we evaluate the proposed architecture across image and 3D representation tasks. On RGB image benchmarks, our method achieves higher fidelity than feed-forward baselines with fewer parameters and fewer optimization steps, and it further transfers favorably to super-resolution, NeRF, and SDF tasks.</p>\n","updatedAt":"2026-07-24T04:33:18.317Z","author":{"_id":"680ed019a9918bb1cbc66248","avatarUrl":"/avatars/904d243f2fad99341f11795e93788993.svg","fullname":"Hyunmin Cho","name":"hyeoncho01","type":"user","isPro":false,"isHf":false,"isHfAdmin":false,"isMod":false,"isUserFollowing":false}},"numEdits":0,"identifiedLanguage":{"language":"en","probability":0.8397355675697327},"editors":["hyeoncho01"],"editorAvatarUrls":["/avatars/904d243f2fad99341f11795e93788993.svg"],"reactions":[],"isReport":false}}],"primaryEmailConfirmed":false,"paper":{"id":"2607.21485","authors":[{"_id":"6a62eabd2ee212ed0e2a1544","user":{"_id":"680ed019a9918bb1cbc66248","avatarUrl":"/avatars/904d243f2fad99341f11795e93788993.svg","isPro":false,"fullname":"Hyunmin Cho","user":"hyeoncho01","type":"user","name":"hyeoncho01"},"name":"Hyunmin Cho","status":"claimed_verified","statusLastChangedAt":"2026-07-24T08:45:04.316Z","hidden":false},{"_id":"6a62eabd2ee212ed0e2a1545","name":"Jaejun Yoo","hidden":false},{"_id":"6a62eabd2ee212ed0e2a1546","name":"Kyong Hwan Jin","hidden":false}],"publishedAt":"2026-07-23T00:00:00.000Z","submittedOnDailyAt":"2026-07-24T00:00:00.000Z","title":"Recurrent Sinusoidal INRs for Efficient High-Fidelity Representation","submittedOnDailyBy":{"_id":"680ed019a9918bb1cbc66248","avatarUrl":"/avatars/904d243f2fad99341f11795e93788993.svg","isPro":false,"fullname":"Hyunmin Cho","user":"hyeoncho01","type":"user","name":"hyeoncho01"},"summary":"We study sinusoidal recurrence as an iterative mechanism for harmonic spectral enrichment in implicit neural representations (INRs). Our analysis reveals that sinusoidal activations induce a harmonic line spectrum, providing a spectral account of how recurrent unrolling enriches the effective spectral support. We realize this principle with a shared sinusoidal block that iteratively refines the latent representation. We empirically validate the resulting spectral behavior against feed-forward INRs, non-sinusoidal recurrent variants, and equilibrium-style sinusoidal models. Complementing this analysis, we evaluate the proposed architecture across image and 3D representation tasks. On RGB image benchmarks, our method achieves higher fidelity than feed-forward baselines with fewer parameters and fewer optimization steps, and it further transfers favorably to super-resolution, NeRF, and SDF tasks.","upvotes":6,"discussionId":"6a62eabd2ee212ed0e2a1547","projectPage":"https://hyeon-cho.github.io/Harmonic-line-Spectrum/","githubRepo":"https://github.com/hyeon-cho/Harmonic-Siren","githubRepoAddedBy":"user","githubStars":0},"canReadDatabase":false,"canManagePapers":false,"canSubmit":false,"hasHfLevelAccess":false,"upvoted":false,"upvoters":[{"_id":"680ed019a9918bb1cbc66248","avatarUrl":"/avatars/904d243f2fad99341f11795e93788993.svg","isPro":false,"fullname":"Hyunmin Cho","user":"hyeoncho01","type":"user"},{"_id":"69ccfc64eb9cdf88f2a5f88c","avatarUrl":"/avatars/b9b9c773c730a66398a176220e42c05e.svg","isPro":false,"fullname":"Donghyeon Choi","user":"mydongh","type":"user"},{"_id":"691a8bc64679e966a59ec135","avatarUrl":"/avatars/3ed0e4f30790c01b305d4838d7b15d42.svg","isPro":false,"fullname":"suno","user":"suniverse77","type":"user"},{"_id":"66207af41c64c883eb865634","avatarUrl":"/avatars/167a6e19602877fa4d12e2e8070a0b1b.svg","isPro":false,"fullname":"grennkim","user":"greenx9","type":"user"},{"_id":"68ec7bb51dfe9ec7bd329d15","avatarUrl":"/avatars/552be99565053fb0a1b0d0fc895f5395.svg","isPro":false,"fullname":"Byeongho Moon","user":"bhomoon","type":"user"},{"_id":"6a158e5d0c9550b6e1325cec","avatarUrl":"/avatars/0eaf86a1a48e63e2c6a05e004fbd7371.svg","isPro":false,"fullname":"朱 雨桐","user":"aria-martinez43","type":"user"}],"acceptLanguages":["en"],"dailyPaperRank":0,"markdownContentUrl":"https://huggingface.co/buckets/huggingchat/papers-content/resolve/2607/2607.21485.md","query":{}}">
Papers
arxiv:2607.21485

Recurrent Sinusoidal INRs for Efficient High-Fidelity Representation

Published on Jul 23
· Submitted by
Hyunmin Cho
on Jul 24
Authors:

Abstract

We study sinusoidal recurrence as an iterative mechanism for harmonic spectral enrichment in implicit neural representations (INRs). Our analysis reveals that sinusoidal activations induce a harmonic line spectrum, providing a spectral account of how recurrent unrolling enriches the effective spectral support. We realize this principle with a shared sinusoidal block that iteratively refines the latent representation. We empirically validate the resulting spectral behavior against feed-forward INRs, non-sinusoidal recurrent variants, and equilibrium-style sinusoidal models. Complementing this analysis, we evaluate the proposed architecture across image and 3D representation tasks. On RGB image benchmarks, our method achieves higher fidelity than feed-forward baselines with fewer parameters and fewer optimization steps, and it further transfers favorably to super-resolution, NeRF, and SDF tasks.

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Paper author Paper submitter about 15 hours ago

Accepted to ECCV 2026 (Poster)

We study sinusoidal recurrence as an iterative mechanism for harmonic spectral enrichment in implicit neural representations (INRs). Our analysis reveals that sinusoidal activations induce a harmonic line spectrum, providing a spectral account of how recurrent unrolling enriches the effective spectral support. We realize this principle with a shared sinusoidal block that iteratively refines the latent representation. We empirically validate the resulting spectral behavior against feed-forward INRs, non-sinusoidal recurrent variants, and equilibrium-style sinusoidal models. Complementing this analysis, we evaluate the proposed architecture across image and 3D representation tasks. On RGB image benchmarks, our method achieves higher fidelity than feed-forward baselines with fewer parameters and fewer optimization steps, and it further transfers favorably to super-resolution, NeRF, and SDF tasks.

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