Hypernetwork functional image representation
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Abstract (arXiv)
Motivated by the human way of memorizing images we introduce their functional representation, where an image is represented by a neural network. For this purpose, we construct a hypernetwork which takes an image and returns weights to the target network, which maps point from the plane (representing positions of the pixel) into its corresponding color in the image. Since the obtained representation is continuous, one can easily inspect the image at various resolutions and perform on it arbitrary continuous operations. Moreover, by inspecting interpolations we show that such representation has some properties characteristic to generative models. To evaluate the proposed mechanism experimentally, we apply it to image super-resolution problem. Despite using a single model for various scaling factors, we obtained results comparable to existing super-resolution methods.
Key facts. Cited by 65 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Feb 2019.
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Citing papers per year: 2021: 11; 2022: 10; 2023: 16; 2024: 11; 2025: 10; 2026: 7.
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- 2021Personalized Federated Learning using Hypernetworkscited by 210
- 2021Modulated Periodic Activations for Generalizable Local Functional Representationscited by 140
- 2023Similarity of Neural Network Models: A Survey of Functional and Representational Measurescited by 128
- 2023A Brief Review of Hypernetworks in Deep Learningcited by 102
- 2021A Structured Dictionary Perspective on Implicit Neural Representationscited by 100
- 2021HyperMorph: Amortized Hyperparameter Learning for Image Registrationcited by 84
- 2023CSP: Self-Supervised Contrastive Spatial Pre-Training for Geospatial-Visual Representationscited by 67
- 2021UltraSR: Spatial Encoding is a Missing Key for Implicit Image Function-based Arbitrary-Scale Super-Resolutioncited by 56
- 2023Cascaded Local Implicit Transformer for Arbitrary-Scale Super-Resolutioncited by 51
- 2023Sphere2Vec: A General-Purpose Location Representation Learning over a Spherical Surface for Large-Scale Geospatial Predictionscited by 38
- 2024Improved Implicit Neural Representation with Fourier Reparameterized Trainingcited by 36
- 2022Learning the Effect of Registration Hyperparameters with HyperMorphcited by 35
38 more
- 2023INCODE: Implicit Neural Conditioning with Prior Knowledge Embeddingscited by 31
- 2022Implicit Full Waveform Inversion with Deep Neural Representationcited by 26
- 2021Block Contextual MDPs for Continual Learningcited by 25
- 2023HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetworkcited by 25
- 2023HyperINR: A Fast and Predictive Hypernetwork for Implicit Neural Representations via Knowledge Distillationcited by 19
- 2023Principled Weight Initialization for Hypernetworkscited by 19
- 2021HyperDynamics: Meta-Learning Object and Agent Dynamics with Hypernetworkscited by 18
- 2025Pareto Set Learning for Multi-Objective Reinforcement Learningcited by 18
- 2024HIIF: Hierarchical Encoding based Implicit Image Function for Continuous Super-resolutioncited by 17
- 2025Instant GaussianImage: A Generalizable and Self-Adaptive Image Representation via 2D Gaussian Splattingcited by 17
- 2022Example-based Hypernetworks for Out-of-Distribution Generalizationcited by 16
- 2022TINC: Tree-structured Implicit Neural Compressioncited by 14
- 2024FreSh: Frequency Shifting for Accelerated Neural Representation Learningcited by 14
- 2022SCI: A Spectrum Concentrated Implicit Neural Compression for Biomedical Datacited by 13
- 2021HyperPocket: Generative Point Cloud Completioncited by 12
- 2022HyperSound: Generating Implicit Neural Representations of Audio Signals with Hypernetworkscited by 12
- 2024HAIR: Hypernetworks-based All-in-One Image Restorationcited by 12
- 2024MiraGe: Editable 2D Images using Gaussian Splattingcited by 12
- 2023Hypernetworks build Implicit Neural Representations of Soundscited by 11
- 2021Hyper-Convolution Networks for Biomedical Image Segmentationcited by 10
- 2023HyperTab: Hypernetwork Approach for Deep Learning on Small Tabular Datasetscited by 10
- 2023Combiner and HyperCombiner Networks: Rules to Combine Multimodality MR Images for Prostate Cancer Localisationcited by 10
- 2023HyperBandit: Contextual Bandit with Hypernewtork for Time-Varying User Preferences in Streaming Recommendationcited by 10
- 2021Regularization-Agnostic Compressed Sensing MRI Reconstruction with Hypernetworkscited by 9
- 2024Effective Heterogeneous Federated Learning via Efficient Hypernetwork-based Weight Generationcited by 9
- 2024VeGaS: Video Gaussian Splattingcited by 9
- 2024Inductive Gradient Adjustment For Spectral Bias In Implicit Neural Representationscited by 8
- 2022Computing Multiple Image Reconstructions with a Single Hypernetworkcited by 7
- 2025MedFuncta: A Unified Framework for Learning Efficient Medical Neural Fieldscited by 6
- 2021Hypernet-Ensemble Learning of Segmentation Probability for Medical Image Segmentation with Ambiguous Labelscited by 4
- 2022Multi-Curve Translator for High-Resolution Photorealistic Image Translationcited by 3
- 2023Dynamic Implicit Image Function for Efficient Arbitrary-Scale Image Representationcited by 3
- 2022Recursive Neural Programs: Variational Learning of Image Grammars and Part-Whole Hierarchiescited by 2
- 2024FedSheafHN: Personalized Federated Learning on Graph-structured Datacited by 2
- 2025LIFT: Latent Implicit Functions for Task- and Data-Agnostic Encodingcited by 2
- 2022Hyper-Convolutions via Implicit Kernels for Medical Imagingcited by 1
- 2023DrasCLR: A Self-supervised Framework of Learning Disease-related and Anatomy-specific Representation for 3D Medical Imagescited by 1
- 2024Implicit Neural Representation For Accurate CFD Flow Field Predictioncited by 1
50 most cited of 65 All 65 (JSON)
- 2026DiffusionShadow: Diffusion-based Shadow Caching for Neural Volume Rendering25 Sep 2026
- 2026PIC: Revisiting INR for Image Coding with Fast Encoding and Sub-Millisecond Decoding8 Sep 2026
- 2026Neural Texture Compression using Hypernetworks25 Jun 2026
- 2026AIR: Amortized Image Reconstruction Framework for Self-Supervised Feed-Forward 2D Gaussian Splatting20 May 2026
- 2026Representation-Aligned Multi-Scale Personalization for Federated Learning13 Apr 2026
- 2026Enhancing Bandit Algorithms with LLMs for Time-varying User Preferences in Streaming Recommendations8 Feb 2026
- 2026Implicit Neural Representation-Based Continuous Single Image Super-Resolution: An Empirical Benchmark25 Jan 2026
- 2025Weight Space Representation Learning via Neural Field Adaptation1 Dec 2025
- 2025GaINeR: Geometry-Aware Implicit Network Representation25 Nov 2025
- 2025Personalized Subgraph Federated Learning with Sheaf Collaboration19 Aug 2025
- 2025Instant GaussianImage: A Generalizable and Self-Adaptive Image Representation via 2D Gaussian Splatting30 Jun 2025
- 2025LIFT: Latent Implicit Functions for Task- and Data-Agnostic Encoding19 Mar 2025
38 more
- 2025HyConEx: Hypernetwork classifier with counterfactual explanations for tabular data16 Mar 2025
- 2025As Good as It KAN Get: High-Fidelity Audio Representation4 Mar 2025
- 2025MedFuncta: A Unified Framework for Learning Efficient Medical Neural Fields20 Feb 2025
- 2025Leveraging Hypernetworks and Learnable Kernels for Consumer Energy Forecasting Across Diverse Consumer Types7 Feb 2025
- 2025Pareto Set Learning for Multi-Objective Reinforcement Learning12 Jan 2025
- 2024HIIF: Hierarchical Encoding based Implicit Image Function for Continuous Super-resolution4 Dec 2024
- 2024VeGaS: Video Gaussian Splatting17 Nov 2024
- 2024Inductive Gradient Adjustment For Spectral Bias In Implicit Neural Representations17 Oct 2024
- 2024FreSh: Frequency Shifting for Accelerated Neural Representation Learning7 Oct 2024
- 2024MiraGe: Editable 2D Images using Gaussian Splatting2 Oct 2024
- 2024HAIR: Hypernetworks-based All-in-One Image Restoration15 Aug 2024
- 2024Implicit Neural Representation For Accurate CFD Flow Field Prediction12 Aug 2024
- 2024Effective Heterogeneous Federated Learning via Efficient Hypernetwork-based Weight Generation3 Jul 2024
- 2024FedSheafHN: Personalized Federated Learning on Graph-structured Data25 May 2024
- 2024D'OH: Decoder-Only Random Hypernetworks for Implicit Neural Representations28 Mar 2024
- 2024Improved Implicit Neural Representation with Fourier Reparameterized Training15 Jan 2024
- 2023HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork26 Dec 2023
- 2023Principled Weight Initialization for Hypernetworks13 Dec 2023
- 2023INCODE: Implicit Neural Conditioning with Prior Knowledge Embeddings28 Oct 2023
- 2023HyperBandit: Contextual Bandit with Hypernewtork for Time-Varying User Preferences in Streaming Recommendation14 Aug 2023
- 2023Combiner and HyperCombiner Networks: Rules to Combine Multimodality MR Images for Prostate Cancer Localisation17 Jul 2023
- 2023Sphere2Vec: A General-Purpose Location Representation Learning over a Spherical Surface for Large-Scale Geospatial Predictions30 Jun 2023
- 2023Dynamic Implicit Image Function for Efficient Arbitrary-Scale Image Representation21 Jun 2023
- 2023A Brief Review of Hypernetworks in Deep Learning12 Jun 2023
- 2023Similarity of Neural Network Models: A Survey of Functional and Representational Measures10 May 2023
- 2023CSP: Self-Supervised Contrastive Spatial Pre-Training for Geospatial-Visual Representations1 May 2023
- 2023Scale-Space Hypernetworks for Efficient Biomedical Imaging11 Apr 2023
- 2023HyperINR: A Fast and Predictive Hypernetwork for Implicit Neural Representations via Knowledge Distillation9 Apr 2023
- 2023HyperTab: Hypernetwork Approach for Deep Learning on Small Tabular Datasets7 Apr 2023
- 2023Cascaded Local Implicit Transformer for Arbitrary-Scale Super-Resolution29 Mar 2023
- 2023DrasCLR: A Self-supervised Framework of Learning Disease-related and Anatomy-specific Representation for 3D Medical Images21 Feb 2023
- 2023Hypernetworks build Implicit Neural Representations of Sounds9 Feb 2023
- 2022TINC: Tree-structured Implicit Neural Compression12 Nov 2022
- 2022HyperSound: Generating Implicit Neural Representations of Audio Signals with Hypernetworks3 Nov 2022
- 2022SCI: A Spectrum Concentrated Implicit Neural Compression for Biomedical Data30 Sep 2022
- 2022Implicit Full Waveform Inversion with Deep Neural Representation8 Sep 2022
- 2022Recursive Neural Programs: Variational Learning of Image Grammars and Part-Whole Hierarchies16 Jun 2022
- 2022Learning the Effect of Registration Hyperparameters with HyperMorph30 Mar 2022
50 newest of 65 All 65 (JSON)
- 2021Personalized Federated Learning using Hypernetworkscited by 210
- 2021Modulated Periodic Activations for Generalizable Local Functional Representationscited by 140
- 2023Similarity of Neural Network Models: A Survey of Functional and Representational Measurescited by 128
- 2023A Brief Review of Hypernetworks in Deep Learningcited by 102
- 2021A Structured Dictionary Perspective on Implicit Neural Representationscited by 100
- 2021HyperMorph: Amortized Hyperparameter Learning for Image Registrationcited by 84
- 2023CSP: Self-Supervised Contrastive Spatial Pre-Training for Geospatial-Visual Representationscited by 67
- 2021UltraSR: Spatial Encoding is a Missing Key for Implicit Image Function-based Arbitrary-Scale Super-Resolutioncited by 56
- 2023Cascaded Local Implicit Transformer for Arbitrary-Scale Super-Resolutioncited by 51
- 2023Sphere2Vec: A General-Purpose Location Representation Learning over a Spherical Surface for Large-Scale Geospatial Predictionscited by 38
- 2024Improved Implicit Neural Representation with Fourier Reparameterized Trainingcited by 36
- 2022Learning the Effect of Registration Hyperparameters with HyperMorphcited by 35
12 most cited of 63 All 63 (JSON)
- 2026PIC: Revisiting INR for Image Coding with Fast Encoding and Sub-Millisecond Decoding8 Sep 2026
- 2026Neural Texture Compression using Hypernetworks25 Jun 2026
- 2026AIR: Amortized Image Reconstruction Framework for Self-Supervised Feed-Forward 2D Gaussian Splatting20 May 2026
- 2026Representation-Aligned Multi-Scale Personalization for Federated Learning13 Apr 2026
- 2026Implicit Neural Representation-Based Continuous Single Image Super-Resolution: An Empirical Benchmark25 Jan 2026
- 2025Weight Space Representation Learning via Neural Field Adaptation1 Dec 2025
- 2025GaINeR: Geometry-Aware Implicit Network Representation25 Nov 2025
- 2025Personalized Subgraph Federated Learning with Sheaf Collaboration19 Aug 2025
- 2025Instant GaussianImage: A Generalizable and Self-Adaptive Image Representation via 2D Gaussian Splatting30 Jun 2025
- 2025LIFT: Latent Implicit Functions for Task- and Data-Agnostic Encoding19 Mar 2025
- 2025HyConEx: Hypernetwork classifier with counterfactual explanations for tabular data16 Mar 2025
- 2025As Good as It KAN Get: High-Fidelity Audio Representation4 Mar 2025
12 newest of 63 All 63 (JSON)