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Spatial Functa: Scaling Functa to ImageNet Classification and Generation

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arxiv 2302.03130 v2 pith:QFW7D42M submitted 2023-02-06 cs.LG cs.CV

classification cs.LGcs.CV
keywords neuralfieldsfunctaclassificationcomplexframeworkgenerationlatent
verification ladder T0 review T1 audit T2 compute T3 formal
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Neural fields, also known as implicit neural representations, have emerged as a powerful means to represent complex signals of various modalities. Based on this Dupont et al. (2022) introduce a framework that views neural fields as data, termed *functa*, and proposes to do deep learning directly on this dataset of neural fields. In this work, we show that the proposed framework faces limitations when scaling up to even moderately complex datasets such as CIFAR-10. We then propose *spatial functa*, which overcome these limitations by using spatially arranged latent representations of neural fields, thereby allowing us to scale up the approach to ImageNet-1k at 256x256 resolution. We demonstrate competitive performance to Vision Transformers (Steiner et al., 2022) on classification and Latent Diffusion (Rombach et al., 2022) on image generation respectively.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. NISF++: Geometrically-grounded implicit representations of 3D+time cardiac function from 2D short- and long-axis MR views

    cs.CV 2026-08 conditional novelty 6.0 of 10

    NISF++ reconstructs a continuous 3D+time cardiac intensity and segmentation field from mixed short- and long-axis 2D MRI views, with learned rigid slice motion correction.

  2. Picasso: Holistic Scene Reconstruction with Physics-Constrained Sampling

    cs.CV 2026-02 unverdicted novelty 6.0 of 10

    Picasso produces multi-object scene reconstructions that are both geometrically accurate and physically plausible by using physics-constrained rejection sampling over an inferred contact graph, outperforming prior met...

  3. VidFuncta: Towards Generalizable Neural Representations for Ultrasound Videos

    eess.IV 2025-07 conditional novelty 6.0 of 10

    VidFuncta encodes ultrasound videos into static and time-varying latent vectors, improving reconstruction over 2D and 3D baselines while enabling efficient downstream analysis.

  4. Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces

    cs.LG 2025-05 conditional novelty 6.0 of 10

    E-NES uses Lie-group point-cloud conditioning and equivariant neural fields to make grid-free eikonal travel-time prediction steerable under rotations and translations, with complete invariant features and competitive...

  5. PDEfuncta: Spectrally-Aware Neural Representation for PDE Solution Modeling

    cs.LG 2025-06 conditional novelty 5.0 of 10

    A Fourier-based weight modulation for shared INR networks improves reconstruction of high-frequency PDE fields and enables bidirectional inference between paired solution spaces.

  6. Fourier-Modulated Implicit Neural Representation for Multispectral Satellite Image Compression

    cs.CV 2025-06 conditional novelty 5.0 of 10

    ImpliSat compresses multispectral satellite images using an implicit neural network with hypernetwork-generated Fourier modulations per band, reporting higher PSNR than shift and scale modulation baselines.

  7. CINeMA: Conditional Implicit Neural Multi-Modal Atlas for a Spatio-Temporal Representation of the Perinatal Brain

    cs.CV 2025-06 conditional novelty 4.0 of 10

    A conditional implicit neural atlas trains on MRI and labels to generate high-resolution fetal and neonatal brain atlases in minutes, with conditioning on age, birth age, ventricle volume, and corpus callosum presence.

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