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Random Features for Kernel Approximation: A Survey on Algorithms, Theory, and Beyond

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The Generalization Error of Random Features Regression: Precise Asymptotics and the Double Descent Curve
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On the Eigenspectrum of the Gram Matrix and Its Relationship to the Operator Eigenspectrum
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Monte Carlo Strategies in Scientific Computing
inferredcites →https://doi.org/10.1007/978-0-387-77501-2_7openalex-snapshot
Support Vector Machines
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The Nature of Statistical Learning Theory
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Oracle Inequalities in Empirical Risk Minimization and Sparse Recovery Problems
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Theory of Reproducing Kernels and Applications
inferredcites →https://doi.org/10.1007/s00365-006-0659-yopenalex-snapshot
Learning Theory Estimates via Integral Operators and Their Approximations
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Optimal Rates for the Regularized Least-Squares Algorithm
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Democracy Barometer. Methodology. Version 4.
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Optimal rates for coefficient-based regularized regression
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Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration
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Distributing many points on spheres: Minimal energy and designs
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Likelihood approximation by numerical integration on sparse grids
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Extreme learning machine: Theory and applications
inferredcites →https://doi.org/10.1017/9781108627771openalex-snapshot
High-Dimensional Statistics
inferredcites →https://doi.org/10.1017/cbo9780511617539openalex-snapshot
Scattered Data Approximation
inferredcites →https://doi.org/10.1017/cbo9780511618796openalex-snapshot
Learning Theory
inferredcites →https://doi.org/10.1073/pnas.1903070116openalex-snapshot
Reconciling modern machine-learning practice and the classical bias–variance trade-off
inferredcites →https://doi.org/10.1088/1742-5468/ac3a74openalex-snapshot
Deep double descent: where bigger models and more data hurt*
inferredcites →https://doi.org/10.1088/1742-5468/ac3ae6openalex-snapshot
Generalisation error in learning with random features and the hidden manifold model*
inferredcites →https://doi.org/10.1090/gsm/132openalex-snapshot
Topics in Random Matrix Theory
inferredcites →https://doi.org/10.1090/s0002-9904-1934-05843-9openalex-snapshot
A theorem on Fourier-Stieltjes integrals
inferredcites →https://doi.org/10.1090/s0002-9947-1950-0051437-7openalex-snapshot
Theory of reproducing kernels
inferredcites →https://doi.org/10.1090/s0273-0979-01-00923-5openalex-snapshot
On the mathematical foundations of learning
inferredcites →https://doi.org/10.1103/physrevresearch.4.013201openalex-snapshot
Memorizing without overfitting: Bias, variance, and interpolation in overparameterized models
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Machine learning and the physical sciences
inferredcites →https://doi.org/10.1109/5.726791openalex-snapshot
Gradient-based learning applied to document recognition
inferredcites →https://doi.org/10.1109/allerton.2008.4797607openalex-snapshot
Uniform approximation of functions with random bases
inferredcites →https://doi.org/10.1109/cvpr.2009.5206848openalex-snapshot
ImageNet: A large-scale hierarchical image database
inferredcites →https://doi.org/10.1109/icassp.2016.7472872openalex-snapshot
Random projections through multiple optical scattering: Approximating Kernels at the speed of light
inferredcites →https://doi.org/10.1109/icassp40776.2020.9053272openalex-snapshot
Kernel Computations from Large-Scale Random Features Obtained by Optical Processing Units
inferredcites →https://doi.org/10.1109/tit.2022.3217698openalex-snapshot
Universality Laws for High-Dimensional Learning With Random Features
inferredcites →https://doi.org/10.1109/tnnls.2019.2934729openalex-snapshot
A Double-Variational Bayesian Framework in Random Fourier Features for Indefinite Kernels
inferredcites →https://doi.org/10.1109/tpami.2017.2785313openalex-snapshot
CROification: Accurate Kernel Classification with the Efficiency of Sparse Linear SVM
inferredcites →https://doi.org/10.1109/tpami.2021.3120183openalex-snapshot
Towards a Unified Quadrature Framework for Large-Scale Kernel Machines
inferredcites →https://doi.org/10.1137/1.9781611970081openalex-snapshot
Random Number Generation and Quasi-Monte Carlo Methods
inferredcites →https://doi.org/10.1137/20m1336072openalex-snapshot
Two Models of Double Descent for Weak Features
inferredcites →https://doi.org/10.1142/0271openalex-snapshot
Spin Glass Theory and Beyond
inferredcites →https://doi.org/10.1142/5089openalex-snapshot
Least Squares Support Vector Machines
inferredcites →https://doi.org/10.1145/2487575.2487591openalex-snapshot
Fast and scalable polynomial kernels via explicit feature maps
inferredcites →https://doi.org/10.1145/3097983.3098081openalex-snapshot
Linearized GMM Kernels and Normalized Random Fourier Features
inferredcites →https://doi.org/10.1145/3446776openalex-snapshot
Understanding deep learning (still) requires rethinking generalization
inferredcites →https://doi.org/10.1162/0899766054323008openalex-snapshot
Learning Bounds for Kernel Regression Using Effective Data Dimensionality
inferredcites →https://doi.org/10.1214/009053605000000282openalex-snapshot
Local Rademacher complexities
inferredcites →https://doi.org/10.1214/17-aap1328openalex-snapshot
A random matrix approach to neural networks
inferredcites →https://doi.org/10.1214/20-aos1990openalex-snapshot
Linearized two-layers neural networks in high dimension
inferredcites →https://doi.org/10.1214/21-aos2133openalex-snapshot
Surprises in high-dimensional ridgeless least squares interpolation
inferredcites →https://doi.org/10.1215/s0012-7094-42-00908-6openalex-snapshot
Positive definite functions on spheres
inferredcites →https://doi.org/10.1609/aaai.v31i1.10825openalex-snapshot
Random Features for Shift-Invariant Kernels with Moment Matching
inferredcites →https://doi.org/10.1609/aaai.v32i1.11697openalex-snapshot
On Data-Dependent Random Features for Improved Generalization in Supervised Learning
inferredcites →https://doi.org/10.1609/aaai.v34i04.5920openalex-snapshot
Random Fourier Features via Fast Surrogate Leverage Weighted Sampling
inferredcites →https://doi.org/10.2139/ssrn.3714013openalex-snapshot
A Precise High-Dimensional Asymptotic Theory for Boosting and Minimum-L1-Norm Interpolated Classifiers
inferredcites →https://doi.org/10.2307/j.ctv36zrf8.5openalex-snapshot
Rethinking the Attention Economy
inferredcites →https://doi.org/10.24963/ijcai.2017/207openalex-snapshot
Data-driven Random Fourier Features using Stein Effect
inferredcites →https://doi.org/10.48550/arxiv.1503.03893openalex-snapshot
Compact Nonlinear Maps and Circulant Extensions
inferredcites →https://doi.org/10.48550/arxiv.1607.03250openalex-snapshot
Network Trimming: A Data-Driven Neuron Pruning Approach towards Efficient Deep Architectures
inferredcites →https://doi.org/10.48550/arxiv.1608.03339openalex-snapshot
Distributed learning with regularized least squares
inferredcites →https://doi.org/10.48550/arxiv.1710.09953openalex-snapshot
The Error Probability of Random Fourier Features is Dimensionality Independent
inferredcites →https://doi.org/10.48550/arxiv.1810.04374openalex-snapshot
On the Approximation Properties of Random ReLU Features
inferredcites →https://doi.org/10.48550/arxiv.1909.11207openalex-snapshot
Simple and Almost Assumption-Free Out-of-Sample Bound for Random Feature Mapping
inferredcites →https://doi.org/10.48550/arxiv.2003.01054openalex-snapshot
Double Trouble in Double Descent : Bias and Variance(s) in the Lazy Regime
inferredcites →https://doi.org/10.48550/arxiv.2006.07340openalex-snapshot
Fourier Sparse Leverage Scores and Approximate Kernel Learning
inferredcites →https://doi.org/10.48550/arxiv.2010.05170openalex-snapshot
What causes the test error? Going beyond bias-variance via ANOVA
inferredcites →https://doi.org/10.48550/arxiv.2011.06446openalex-snapshot
Subgroup-based Rank-1 Lattice Quasi-Monte Carlo
inferredcites →https://doi.org/10.48550/arxiv.2102.11742openalex-snapshot
Classifying high-dimensional Gaussian mixtures: Where kernel methods fail and neural networks succeed
inferredcites →https://doi.org/10.57702/zp44cu3gopenalex-snapshot
Learning Multiple Layers of Features from Tiny Images
inferredcites →https://doi.org/10.7551/mitpress/4175.001.0001openalex-snapshot
Learning with Kernels
inferredcites →https://doi.org/10.7551/mitpress/7496.003.0015openalex-snapshot
Training Invariant SVMs Using Selective Sampling

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Virtue of Complexity in Return Prediction
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The Virtue of Complexity in Return Prediction
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Robust kernel-based gradient descent with random features
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Faster doubly stochastic functional gradient by gradient preconditioning for scalable kernel methods
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Fast newton method to solve KLR based on multilevel circulant matrix with log-linear complexity
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Transferable Neural Networks for Partial Differential Equations
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Random fourier features for asymmetric kernels
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Random sampling and unisolvent interpolation by almost everywhere analytic functions
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Temporal self-attention for risk prediction from electronic health records using non-stationary kernel approximation
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A nonlinear kernel SVM classifier via L0/1 soft-margin loss with classification performance
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Lp- and risk consistency of localized SVMs
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Data-distribution-informed Nyström approximation for structured data using vector quantization-based landmark determination
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HGOD: Outlier detection based on a hybrid graph
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Structured orthogonal random features based on DCT for kernel approximation
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Comparative analysis of kernel approximation methods and their ensemble architectures
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Attention-based random forest and contamination model
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Local Random Feature Approximations of the Gaussian Kernel
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Schedule-Robust Continual Learning
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Generalization Properties of Robust Learning With Random Features
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The Virtue of Complexity in Return Prediction
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Kernel Approximation on Algebraic Varieties
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Emulating Complex Dynamical Simulators with Random Fourier Features
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Random Fourier Signature Features
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Structured and Balanced Multicomponent and Multilayer Neural Networks
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Gaussian Mixture Distribution Based Random Fourier Quasi Newton Algorithm for Nonlinear Active Noise Control
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Spectraformer: A Unified Random Feature Framework for Transformer
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Smooth Nested Simulation: Bridging Cubic and Square Root Convergence Rates in High Dimensions
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Structured random receptive fields enable informative sensory encodings
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Physics-Guided Bayesian Framework for Bond Strength Modeling with Explicit Aleatoric-Epistemic Uncertainty Quantification
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Anisotropic Fourier Features for Neural Image-Based Rendering and Relighting
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Sharp Analysis of Random Fourier Features in Classification
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TRF: Learning Kernels with Tuned Random Features
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EXTREME LEARNING MACHINES FOR VARIANCE-BASED GLOBAL SENSITIVITY ANALYSIS
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INDEX, VOLUME 3, 2022
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CalibrateEmulateSample.jl: Accelerated Parametric Uncertainty Quantification
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A Simpler Look At Complexity
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Learning Operators through Coefficient Mappings in Fixed Basis Spaces
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Boundary neuron method for solving partial differential equations
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AGBoost: Attention-based Modification of Gradient Boosting Machine
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Distance-Metric Learning for Personalized Survival Analysis
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TLFormer: Scalable Taylor Linear Attention in Transformer for Collaborative Filtering
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Uncertainty-Aware Bayesian Machine Learning for Thermo-Kinetic Parameter Estimation from Noisy Temperature Profiles
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An Effective Online Sequential Stochastic Configuration Algorithm for Neural Networks
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Demystifying the Random Feature-Based Online Multi-Kernel Learning
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Demystifying the Random Feature-Based Online Multi-Kernel Learning
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Empirical Study on the Impact of Music Education Aesthetics on College Students' Mental Health From the Perspective of Knowledge and Data
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Reservoir Computing meets Recurrent Kernels and Structured Transforms
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How Powerful are Shallow Neural Networks with Bandlimited Random Weights?
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Kernel regression in high dimensions: Refined analysis beyond double descent
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Shallow Representation is Deep: Learning Uncertainty-aware and Worst-case Random Feature Dynamics
inferred← citeshttps://doi.org/10.48550/arxiv.2108.00207openalex-snapshot
The Separation Capacity of Random Neural Networks
inferred← citeshttps://doi.org/10.48550/arxiv.2109.01545openalex-snapshot
Large-Scale Learning with Fourier Features and Tensor Decompositions
inferred← citeshttps://doi.org/10.48550/arxiv.2109.06663openalex-snapshot
An Insect-Inspired Randomly, Weighted Neural Network with Random Fourier Features For Neuro-Symbolic Relational Learning
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On Learning the Transformer Kernel
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Revisiting RIP guarantees for sketching operators on mixture models
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An Online Projection Estimator for Nonparametric Regression in Reproducing Kernel Hilbert Spaces
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