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Learning gradients on manifolds

https://doi.org/10.3150/09-bej206
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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4757-2201-7openalex-snapshot
Riemannian Geometry
inferredcites →https://doi.org/10.1007/s10444-007-9049-0openalex-snapshot
Learning and approximation by Gaussians on Riemannian manifolds
inferredcites →https://doi.org/10.1016/s1535-6108(02)00030-2openalex-snapshot
Gene expression correlates of clinical prostate cancer behavior
inferredcites →https://doi.org/10.1023/a:1012487302797openalex-snapshot
Gene Selection for Cancer Classification using Support Vector Machines
inferredcites →https://doi.org/10.1073/pnas.1031596100openalex-snapshot
Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
inferredcites →https://doi.org/10.1080/01621459.1991.10475035openalex-snapshot
Sliced Inverse Regression for Dimension Reduction
inferredcites →https://doi.org/10.1090/s0002-9947-1950-0051437-7openalex-snapshot
Theory of reproducing kernels
inferredcites →https://doi.org/10.1093/oso/9780198526155.003.0053openalex-snapshot
Bayesian Factor Regression Models in the “Large p, Small n” Paradigm
inferredcites →https://doi.org/10.1111/1467-9868.03411openalex-snapshot
An Adaptive Estimation of Dimension Reduction Space
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Regression Shrinkage and Selection Via the Lasso
inferredcites →https://doi.org/10.1126/science.286.5439.531openalex-snapshot
Molecular Classification of Cancer: Class Discovery and Class Prediction by Gene Expression Monitoring
inferredcites →https://doi.org/10.1126/science.290.5500.2319openalex-snapshot
A Global Geometric Framework for Nonlinear Dimensionality Reduction
inferredcites →https://doi.org/10.1126/science.290.5500.2323openalex-snapshot
Nonlinear Dimensionality Reduction by Locally Linear Embedding
inferredcites →https://doi.org/10.1137/s1064827596304010openalex-snapshot
Atomic Decomposition by Basis Pursuit
inferredcites →https://doi.org/10.1142/9789812836281_0023openalex-snapshot
An adaptive estimation of dimension reduction space
inferredcites →https://doi.org/10.1162/089976603321780317openalex-snapshot
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
inferredcites →https://doi.org/10.1214/074921707000000148openalex-snapshot
Local polynomial regression on unknown manifolds
inferredcites →https://doi.org/10.1214/088342307000000032openalex-snapshot
The Use of Unlabeled Data in Predictive Modeling
inferredcites →https://doi.org/10.1214/aos/1021379861openalex-snapshot
Dimension reduction for conditional mean in regression
inferredcites →https://doi.org/10.21236/ada296533openalex-snapshot
Theory of Reproducing Kernels.
inferredcites →https://doi.org/10.2307/1990404openalex-snapshot
Theory of Reproducing Kernels
inferredcites →https://doi.org/10.2307/2290564openalex-snapshot
Sliced Inverse Regression for Dimension Reduction: Comment
inferredcites →https://doi.org/10.5555/1248547.1248565openalex-snapshot
Learning Coordinate Covariances via Gradients
inferredcites →https://doi.org/10.5555/1248547.1248635openalex-snapshot
Estimation of Gradients and Coordinate Covariation in Classification
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.3204132openalex-extracted
Model Risk and Differential Geometry Applied to Sensitivity Analysis
inferred← citeshttps://doi.org/10.1002/nla.722openalex-snapshot
Normal estimation on manifolds by gradient learning
inferred← citeshttps://doi.org/10.1007/978-1-4614-5544-8_4openalex-snapshot
Function Estimation
inferred← citeshttps://doi.org/10.1007/978-81-951961-1-1_11openalex-snapshot
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Optimization Algorithms: An Overview
inferred← citeshttps://doi.org/10.1007/978-981-99-8277-6_11openalex-snapshot
Stochastic Gradient Schemes
inferred← citeshttps://doi.org/10.1007/s00440-014-0556-xopenalex-snapshot
The topology of probability distributions on manifolds
inferred← citeshttps://doi.org/10.1007/s10444-011-9211-6openalex-snapshot
Learning the coordinate gradients
inferred← citeshttps://doi.org/10.1007/s10994-010-5217-4openalex-snapshot
Estimating variable structure and dependence in multitask learning via gradients
inferred← citeshttps://doi.org/10.1007/s10994-012-5284-9openalex-snapshot
Learning sparse gradients for variable selection and dimension reduction
inferred← citeshttps://doi.org/10.1007/s11263-012-0528-5openalex-snapshot
Keypoints and Local Descriptors of Scalar Functions on 2D Manifolds
inferred← citeshttps://doi.org/10.1007/s11401-018-0091-7openalex-snapshot
Error Analysis on Hérmite Learning with Gradient Data
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Learning gradients via an early stopping gradient descent method
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The consistency analysis of gradient learning under independent covariate shift
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Local Linear Regression on Manifolds and Its Geometric Interpretation
inferred← citeshttps://doi.org/10.1080/10618600.2021.2000420openalex-snapshot
Learning Subspaces of Different Dimensions
inferred← citeshttps://doi.org/10.1093/biomet/asaa041openalex-snapshot
Functional regression on the manifold with contamination
inferred← citeshttps://doi.org/10.1093/imaiai/iaaa013openalex-snapshot
Nonlinear generalization of the monotone single index model
inferred← citeshttps://doi.org/10.1109/access.2023.3307772openalex-snapshot
A Diffusion-Map-Based Algorithm for Gradient Computation on Manifolds and Applications
inferred← citeshttps://doi.org/10.1109/tnnls.2015.2425215openalex-snapshot
Robust Gradient Learning With Applications
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MIMO Systems With Quantized Covariance Feedback
inferred← citeshttps://doi.org/10.1142/s0219530519410033openalex-snapshot
Performance analysis of the LapRSSLG algorithm in learning theory
inferred← citeshttps://doi.org/10.1155/2013/148490openalex-snapshot
ERM Scheme for Quantile Regression
inferred← citeshttps://doi.org/10.1155/2014/438291openalex-snapshot
Gradient Learning Algorithms for Ontology Computing
inferred← citeshttps://doi.org/10.1162/neco_a_00739openalex-snapshot
Refined Generalization Bounds of Gradient Learning over Reproducing Kernel Hilbert Spaces
inferred← citeshttps://doi.org/10.1198/jcgs.2010.08080openalex-snapshot
Localized Sliced Inverse Regression
inferred← citeshttps://doi.org/10.1214/23-ejs2153openalex-snapshot
Structure learning via unstructured kernel-based M-estimation
inferred← citeshttps://doi.org/10.2140/paa.2025.7.807openalex-snapshot
Convergence of Hessian estimator from random samples on a manifold with boundary
inferred← citeshttps://doi.org/10.2514/6.2019-4329openalex-snapshot
Enabling aero-engine thermal model calibration using active subspaces
inferred← citeshttps://doi.org/10.3390/e24070956openalex-snapshot
Gradient Learning under Tilted Empirical Risk Minimization
inferred← citeshttps://doi.org/10.48550/arxiv.1805.08883openalex-snapshot
Sensitivity of Regular Estimators
inferred← citeshttps://doi.org/10.48550/arxiv.1808.09631openalex-snapshot
On linear hypersingular Boltzmann transport equation and its variational formulation
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When Locally Linear Embedding Hits Boundary
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Random Lie Brackets that Induce Torsion: A Model for Noisy Vector Fields
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