Improving Fractal Pre-training
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Abstract (arXiv)
The deep neural networks used in modern computer vision systems require enormous image datasets to train them. These carefully-curated datasets typically have a million or more images, across a thousand or more distinct categories. The process of creating and curating such a dataset is a monumental undertaking, demanding extensive effort and labelling expense and necessitating careful navigation of technical and social issues such as label accuracy, copyright ownership, and content bias. What if we had a way to harness the power of large image datasets but with few or none of the major issues and concerns currently faced? This paper extends the recent work of Kataoka et. al. (2020), proposing an improved pre-training dataset based on dynamically-generated fractal images. Challenging issues with large-scale image datasets become points of elegance for fractal pre-training: perfect label accuracy at zero cost; no need to store/transmit large image archives; no privacy/demographic bias/concerns of inappropriate content, as no humans are pictured; limitless supply and diversity of images; and the images are free/open-source. Perhaps surprisingly, avoiding these difficulties imposes only a small penalty in performance. Leveraging a newly-proposed pre-training task -- multi-instance prediction -- our experiments demonstrate that fine-tuning a network pre-trained using fractals attains 92.7-98.1% of the accuracy of an ImageNet pre-trained network.
Key facts. Cited by 26 papers in the map (data through 7 Oct 2026). Builds on 32 of its 50 references that are in the map. First posted on arXiv 6 Oct 2021.
Builds on
32 of 50 references.
References · 32
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20 more
- 2017Revisiting Unreasonable Effectiveness of Data in Deep Learning Eracited by 916
- 2019Self-supervised Visual Feature Learning with Deep Neural Networks: A Surveycited by 656
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Citing papers per year: 2022: 5; 2023: 8; 2024: 5; 2025: 6; 2026: 2.
26 papers.
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- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2022On the Importance and Applicability of Pre-Training for Federated Learningcited by 71
- 2024A Vision Check-up for Language Modelscited by 36
- 2023Asynchronous Federated Continual Learningcited by 29
- 2022Procedural Image Programs for Representation Learningcited by 28
- 2022Insights into Pre-training via Simpler Synthetic Taskscited by 25
- 2022Pre-training Vision Transformers with Formula-driven Supervised Learningcited by 21
- 2023Visual Atoms: Pre-training Vision Transformers with Sinusoidal Wavescited by 20
- 2023IPMix: Label-Preserving Data Augmentation Method for Training Robust Classifierscited by 14
- 2024Scaling Backwards: Minimal Synthetic Pre-training?cited by 14
- 2023Pre-training Vision Transformers with Very Limited Synthesized Imagescited by 12
- 2023Pre-training with Synthetic Data Helps Offline Reinforcement Learningcited by 9
14 more
- 2023SegRCDB: Semantic Segmentation via Formula-Driven Supervised Learningcited by 8
- 2023Learning Fractals by Gradient Descentcited by 2
- 2023FractalAD: A simple industrial anomaly detection method using fractal anomaly generation and backbone knowledge distillationcited by 1
- 2024Learning Representation for Multitask learning through Self Supervised Auxiliary learningcited by 1
- 2024Pre-training for Action Recognition with Automatically Generated Fractal Datasetscited by 1
- 2025VibrantLeaves: A principled parametric image generator for training deep restoration modelscited by 1
- 2025Stylized Structural Patterns for Improved Neural Network Pre-trainingcited by 1
- 2024Fractals as Pre-training Datasets for Anomaly Detection and Localizationcited by 0
- 2025LayerMix: Enhanced Data Augmentation through Fractal Integration for Robust Deep Learningcited by 0
- 2025Formula-Supervised Sound Event Detection: Pre-Training Without Real Datacited by 0
- 2025Separating Knowledge and Perception with Procedural Datacited by 0
- 2025Learning with Mandelbrot and Juliacited by 0
- 2026How to Sample High Quality 3D Fractals for Action Recognition Pre-Training?cited by 0
- 2026Amortized Set Prediction for Inverse IFS Reconstruction from Density Mapscited by 0
- 2026Amortized Set Prediction for Inverse IFS Reconstruction from Density Maps25 Aug 2026
- 2026How to Sample High Quality 3D Fractals for Action Recognition Pre-Training?12 Feb 2026
- 2025Learning with Mandelbrot and Julia31 Aug 2025
- 2025Separating Knowledge and Perception with Procedural Data12 Aug 2025
- 2025Stylized Structural Patterns for Improved Neural Network Pre-training24 Jun 2025
- 2025VibrantLeaves: A principled parametric image generator for training deep restoration models14 Apr 2025
- 2025Formula-Supervised Sound Event Detection: Pre-Training Without Real Data6 Apr 2025
- 2025LayerMix: Enhanced Data Augmentation through Fractal Integration for Robust Deep Learning8 Jan 2025
- 2024Pre-training for Action Recognition with Automatically Generated Fractal Datasets26 Nov 2024
- 2024Learning Representation for Multitask learning through Self Supervised Auxiliary learning25 Sep 2024
- 2024Scaling Backwards: Minimal Synthetic Pre-training?1 Aug 2024
- 2024Fractals as Pre-training Datasets for Anomaly Detection and Localization11 May 2024
14 more
- 2024A Vision Check-up for Language Models3 Jan 2024
- 2023IPMix: Label-Preserving Data Augmentation Method for Training Robust Classifiers7 Oct 2023
- 2023Pre-training with Synthetic Data Helps Offline Reinforcement Learning1 Oct 2023
- 2023SegRCDB: Semantic Segmentation via Formula-Driven Supervised Learning29 Sep 2023
- 2023Pre-training Vision Transformers with Very Limited Synthesized Images27 Jul 2023
- 2023Asynchronous Federated Continual Learning7 Apr 2023
- 2023Learning Fractals by Gradient Descent14 Mar 2023
- 2023Visual Atoms: Pre-training Vision Transformers with Sinusoidal Waves2 Mar 2023
- 2023FractalAD: A simple industrial anomaly detection method using fractal anomaly generation and backbone knowledge distillation30 Jan 2023
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2022Procedural Image Programs for Representation Learning29 Nov 2022
- 2022On the Importance and Applicability of Pre-Training for Federated Learning23 Jun 2022
- 2022Insights into Pre-training via Simpler Synthetic Tasks21 Jun 2022
- 2022Pre-training Vision Transformers with Formula-driven Supervised Learning18 Jun 2022
- 2022A Survey of Deep Learning for Mathematical Reasoningcited by 124
- 2022A Survey of Deep Learning for Mathematical Reasoning20 Dec 2022
- 2022On the Importance and Applicability of Pre-Training for Federated Learningcited by 71
- 2024A Vision Check-up for Language Modelscited by 36
- 2023Asynchronous Federated Continual Learningcited by 29
- 2022Procedural Image Programs for Representation Learningcited by 28
- 2022Insights into Pre-training via Simpler Synthetic Taskscited by 25
- 2022Pre-training Vision Transformers with Formula-driven Supervised Learningcited by 21
- 2023Visual Atoms: Pre-training Vision Transformers with Sinusoidal Wavescited by 20
- 2023IPMix: Label-Preserving Data Augmentation Method for Training Robust Classifierscited by 14
- 2024Scaling Backwards: Minimal Synthetic Pre-training?cited by 14
- 2023Pre-training Vision Transformers with Very Limited Synthesized Imagescited by 12
- 2023SegRCDB: Semantic Segmentation via Formula-Driven Supervised Learningcited by 8
- 2023Learning Fractals by Gradient Descentcited by 2
12 most cited of 24 All 24 (JSON)
- 2026Amortized Set Prediction for Inverse IFS Reconstruction from Density Maps25 Aug 2026
- 2026How to Sample High Quality 3D Fractals for Action Recognition Pre-Training?12 Feb 2026
- 2025Learning with Mandelbrot and Julia31 Aug 2025
- 2025Separating Knowledge and Perception with Procedural Data12 Aug 2025
- 2025Stylized Structural Patterns for Improved Neural Network Pre-training24 Jun 2025
- 2025VibrantLeaves: A principled parametric image generator for training deep restoration models14 Apr 2025
- 2025Formula-Supervised Sound Event Detection: Pre-Training Without Real Data6 Apr 2025
- 2025LayerMix: Enhanced Data Augmentation through Fractal Integration for Robust Deep Learning8 Jan 2025
- 2024Pre-training for Action Recognition with Automatically Generated Fractal Datasets26 Nov 2024
- 2024Learning Representation for Multitask learning through Self Supervised Auxiliary learning25 Sep 2024
- 2024Scaling Backwards: Minimal Synthetic Pre-training?1 Aug 2024
- 2024Fractals as Pre-training Datasets for Anomaly Detection and Localization11 May 2024
12 newest of 24 All 24 (JSON)