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When Is There a Representer Theorem? Vector Versus Matrix Regularizers

https://doi.org/10.5555/1577069.1755870
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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 Rademacher Complexity of Linear Transformation Classes
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A Generalized Representer Theorem
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The Nature of Statistical Learning Theory
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A Function Representation for Learning in Banach Spaces
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An Algorithm for Transfer Learning in a Heterogeneous Environment
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Lectures on optimal recovery
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Exact Matrix Completion via Convex Optimization
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Convex multi-task feature learning
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Reduced-rank regression for the multivariate linear model
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Kernel Methods for Pattern Analysis
inferredcites →https://doi.org/10.1017/cbo9780511840371openalex-snapshot
Topics in Matrix Analysis
inferredcites →https://doi.org/10.1023/a:1018946025316openalex-snapshot
Regularization Networks and Support Vector Machines
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/10.1109/acc.2001.945730openalex-snapshot
A rank minimization heuristic with application to minimum order system approximation
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Modeling Appearances with Low-Rank SVM
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Model Selection and Estimation in Regression with Grouped Variables
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Dimension Reduction and Coefficient Estimation in Multivariate Linear Regression
inferredcites →https://doi.org/10.1137/1.9781611972771.30openalex-snapshot
Probabilistic Joint Feature Selection for Multi-task Learning
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Semidefinite Programming
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Constructing informative priors using transfer learning
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Uncovering shared structures in multiclass classification
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A training algorithm for optimal margin classifiers
inferredcites →https://doi.org/10.1162/0899766052530802openalex-snapshot
On Learning Vector-Valued Functions
inferredcites →https://doi.org/10.1162/neco.1995.7.2.219openalex-snapshot
Regularization Theory and Neural Networks Architectures
inferredcites →https://doi.org/10.1198/016214501753208942openalex-snapshot
Regularization of Wavelet Approximations
inferredcites →https://doi.org/10.1214/009053606000000722openalex-snapshot
Component selection and smoothing in multivariate nonparametric regression
inferredcites →https://doi.org/10.1214/aoms/1177697089openalex-snapshot
A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines
inferredcites →https://doi.org/10.1287/mksc.15.2.173openalex-snapshot
Hierarchical Bayes Conjoint Analysis: Recovery of Partworth Heterogeneity from Reduced Experimental Designs
inferredcites →https://doi.org/10.2307/1271436openalex-snapshot
Ridge Regression: Biased Estimation for Nonorthogonal Problems
inferredcites →https://doi.org/10.2307/2006360openalex-snapshot
Solutions of Ill-Posed Problems.
inferredcites →https://doi.org/10.2307/2290434openalex-snapshot
Spline Models for Observational Data.
inferredcites →https://doi.org/10.48550/arxiv.0706.4138openalex-snapshot
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
inferredcites →https://doi.org/10.48550/arxiv.0802.1430openalex-snapshot
A New Approach to Collaborative Filtering: Operator Estimation with Spectral Regularization
inferredcites →https://doi.org/10.48550/arxiv.cs/0611124openalex-snapshot
Low-rank matrix factorization with attributes
inferredcites →https://doi.org/10.5555/1005332.1044705openalex-snapshot
Some Properties of Regularized Kernel Methods
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Learning Multiple Tasks with Kernel Methods
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Learning the Kernel Function via Regularization
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A Framework for Learning Predictive Structures from Multiple Tasks and Unlabeled Data
inferredcites →https://doi.org/10.5555/1314498.1314578openalex-snapshot
On the Representer Theorem and Equivalent Degrees of Freedom of SVR
inferredcites →https://doi.org/10.7551/mitpress/7503.003.0010openalex-snapshot
Multi-Task Feature Learning

What points at this work

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

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Stochastic Embedding of Empirical Mode Decomposition with Application in Parkinson's Disease Speech Diagnostics
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Representer Theorem
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Learning rates of multitask kernel methods
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Coupled support tensor machine classification for multimodal neuroimaging data
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Graph-Embedding Discriminant Analysis on Riemannian Manifolds for Visual Recognition
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Learning Functions Using Data-Dependent Regularization: Representer Theorem Revisited
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Learning as Constraint Reactions
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Manifold-Regularized Minimax Probability Machine
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Kernelization of Matrix Updates, When and How?
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A Unifying Representer Theorem for Inverse Problems and Machine Learning
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Finite rank kernels for multi-task learning
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When is there a representer theorem?
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New smoothing SVM algorithm with tight error bound and efficient reduced techniques
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Regularized learning in Banach spaces as an optimization problem: representer theorems
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When is there a representer theorem?
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Efficiently learning the preferences of people
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Learning with infinitely many features
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Learning with tensors: a framework based on convex optimization and spectral regularization
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Multitask learning applied to evolving fuzzy-rule-based predictors
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AEKOC+: Kernel Ridge Regression-Based Auto-Encoder for One-Class Classification Using Privileged Information
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Learning in Reproducing Kernel Hilbert Spaces
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Reproducing kernel Banach spaces with the ℓ1 norm
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Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data
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Nonuniform reconstruction of periodic bandlimited signals without sampling points’ number restriction
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KOC+: Kernel ridge regression based one-class classification using privileged information
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Vector-valued reproducing kernel Banach spaces with applications to multi-task learning
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Generalized semi-inner products with applications to regularized learning
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Learning rates for multi-task regularization networks
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Nyström-based approximate kernel subspace learning
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Feature-Based Transfer Learning
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Model-Based Transfer Learning
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Transfer Learning in Reinforcement Learning
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Transfer Learning Theory
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Privacy-Preserving Transfer Learning
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Transfer Learning in Dialogue Systems
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Transfer Learning in Activity Recognition
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Machine Learning Force Fields
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Generalized Mercer Kernels and Reproducing Kernel Banach Spaces
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Stochastic Policy Gradient Ascent in Reproducing Kernel Hilbert Spaces
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Kernel-based machine learning using radio-fingerprints for localization in wsns
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Class-Specific Reference Discriminant Analysis With Application in Human Behavior Analysis
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Extracting Privileged Information for Enhancing Classifier Learning
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Identifying Mammalian MicroRNA Targets Based on Supervised Distance Metric Learning
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The Whole Is More Than Its Parts? From Explicit to Implicit Pose Normalization
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Large-Scale Classification by an Approximate Least Squares One-Class Support Vector Machine Ensemble
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Class-Specific Nonlinear Projections Using Class-Specific Kernel Spaces
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Adaptive Online Learning With Regularized Kernel for One-Class Classification
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Sparse Multiresolution Representations With Adaptive Kernels
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Multi-task Multiple Kernel Learning
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Regularized learning schemes in feature Banach spaces
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Metric Learning for Estimating Psychological Similarities
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Transitive Transfer Learning
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Bridging the Gap between Spatial and Spectral Domains: A Unified Framework for Graph Neural Networks
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Kernel Based Identification of Systems with Multiple Outputs Using Nuclear Norm Regularization
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On the conditional distributions of low-dimensional projections from high-dimensional data
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Ataxic speech disorders and Parkinson’s disease diagnostics via stochastic embedding of empirical mode decomposition
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Novel Machine Learning Methods for Computational Chemistry
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Heterogeneous transfer learning
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Learning Sparse Task Relations in Multi-Task Learning
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Random Features for Shift-Invariant Kernels with Moment Matching
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Random Feature Maps for Dot Product Kernels
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The representer theorem for Hilbert spaces: a necessary and sufficient condition
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Excess risk bounds for multitask learning with trace norm regularization
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Framework for Multi-task Multiple Kernel Learning and Applications in Genome Analysis
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Vector-valued Reproducing Kernel Banach Spaces with Group Lasso Norms
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Graph-Embedded Multi-layer Kernel Extreme Learning Machine for One-class Classification or (Graph-Embedded Multi-layer Kernel Ridge Regression for One-class Classification)
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OCKELM+: Kernel Extreme Learning Machine based One-class Classification using Privileged Information (or KOC+: Kernel Ridge Regression or Least Square SVM with zero bias based One-class Classification using Privileged Information)
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Approximate Representer Theorems in Non-reflexive Banach Spaces
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Representer Theorems in Banach Spaces: Minimum Norm Interpolation, Regularized Learning and Semi-Discrete Inverse Problems
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An exact kernel framework for spatio-temporal dynamics
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On Spectral Learning
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Interactions entre Rang et Parcimonie en Estimation Pénalisée, et Détection d'Objets Structurés
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Regularized factor models
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Fast gradient algorithms for structured sparsity
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