Streaming Kernel PCA with tildeO(√n) Random Features
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Abstract (arXiv)
We study the statistical and computational aspects of kernel principal component analysis using random Fourier features and show that under mild assumptions, O(√n log n) features suffices to achieve O(1/ε2) sample complexity. Furthermore, we give a memory efficient streaming algorithm based on classical Oja's algorithm that achieves this rate.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Aug 2018.
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Citing papers per year: 2021: 3; 2022: 1; 2023: 2; 2024: 1; 2025: 2; 2026: 2.
11 papers.
- 2022Contrastive Learning Can Find An Optimal Basis For Approximately View-Invariant Functionscited by 32
- 2024Towards a Scalable Reference-Free Evaluation of Generative Modelscited by 25
- 2021Generalization Bounds for Sparse Random Feature Expansionscited by 22
- 2021Learning to Forecast Dynamical Systems from Streaming Datacited by 17
- 2021Statistical Optimality and Computational Efficiency of Nystr"om Kernel PCAcited by 10
- 2023Random Fourier Signature Featurescited by 9
- 2025Towards an Explainable Comparison and Alignment of Feature Embeddingscited by 9
- 2023Fair Streaming Principal Component Analysis: Statistical and Algorithmic Viewpointcited by 5
- 2026KODA: Contrastive Representation Comparison and Alignment for Vision-Language Foundation Modelscited by 2
- 2025Kernel PCA for Out-of-Distribution Detection: Non-Linear Kernel Selection and Approximationcited by 1
- 2026Online Supervised Dimension Reduction with Random Features: Diagnostics and Computational Trade-offscited by 0
- 2026Online Supervised Dimension Reduction with Random Features: Diagnostics and Computational Trade-offs17 Sep 2026
- 2026KODA: Contrastive Representation Comparison and Alignment for Vision-Language Foundation Models2 Jun 2026
- 2025Towards an Explainable Comparison and Alignment of Feature Embeddings6 Jun 2025
- 2025Kernel PCA for Out-of-Distribution Detection: Non-Linear Kernel Selection and Approximation21 May 2025
- 2024Towards a Scalable Reference-Free Evaluation of Generative Models3 Jul 2024
- 2023Random Fourier Signature Features20 Nov 2023
- 2023Fair Streaming Principal Component Analysis: Statistical and Algorithmic Viewpoint28 Oct 2023
- 2022Contrastive Learning Can Find An Optimal Basis For Approximately View-Invariant Functions4 Oct 2022
- 2021Learning to Forecast Dynamical Systems from Streaming Data20 Sep 2021
- 2021Statistical Optimality and Computational Efficiency of Nystr"om Kernel PCA19 May 2021
- 2021Generalization Bounds for Sparse Random Feature Expansions4 Mar 2021