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Learning SVM in Kreĭn Spaces

https://doi.org/10.1109/tpami.2015.2477830

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What this work says

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

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From Indefinite to Positive Semi-Definite Matrices

inferredcites →https://doi.org/10.1007/978-3-642-65567-8openalex-snapshot

Indefinite Inner Product Spaces

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The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems

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Support vector machine classification with indefinite kernels

inferredcites →https://doi.org/10.1016/0378-4754(91)90047-7openalex-snapshot

Linear operators in spaces with an indefinite metric

inferredcites →https://doi.org/10.1016/j.acha.2010.04.001openalex-snapshot

Least square regression with indefinite kernels and coefficient regularization

inferredcites →https://doi.org/10.1016/j.laa.2009.03.008openalex-snapshot

Projections in Krein spaces

inferredcites →https://doi.org/10.1016/j.patcog.2008.08.030openalex-snapshot

Choosing the kernel parameters for support vector machines by the inter-cluster distance in the feature space

inferredcites →https://doi.org/10.1017/cbo9780511804441openalex-snapshot

Convex Optimization

inferredcites →https://doi.org/10.1049/cp:19991126openalex-snapshot

Classification on proximity data with LP-machines

inferredcites →https://doi.org/10.1109/icassp.2003.1202783openalex-snapshot

Kernel independent component analysis

inferredcites →https://doi.org/10.1109/icpr.2008.4761718openalex-snapshot

Indefinite Kernel Fisher Discriminant

inferredcites →https://doi.org/10.1109/tnn.2006.875973openalex-snapshot

A Study on SMO-Type Decomposition Methods for Support Vector Machines

inferredcites →https://doi.org/10.1109/tpami.2005.78openalex-snapshot

Feature space interpretation of SVMs with indefinite kernels

inferredcites →https://doi.org/10.1109/tpami.2008.290openalex-snapshot

Kernel Discriminant Analysis for Positive Definite and Indefinite Kernels

inferredcites →https://doi.org/10.1137/1.9781611970760openalex-snapshot

Indefinite-Quadratic Estimation and Control

inferredcites →https://doi.org/10.1145/1015330.1015443openalex-snapshot

Learning with non-positive kernels

inferredcites →https://doi.org/10.1145/1390156.1390174openalex-snapshot

Training SVM with indefinite kernels

inferredcites →https://doi.org/10.1145/1553374.1553393openalex-snapshot

Learning kernels from indefinite similarities

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Multiple indefinite kernel learning with mixed norm regularization

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Learning Eigenfunctions Links Spectral Embedding and Kernel PCA

inferredcites →https://doi.org/10.1162/neco.2006.18.6.1472openalex-snapshot

Support Vector Machines for Dyadic Data

inferredcites →https://doi.org/10.1162/neco.2008.20.1.271openalex-snapshot

An SMO Algorithm for the Potential Support Vector Machine

inferredcites →https://doi.org/10.1515/jiip.2007.029openalex-snapshot

Regularization by projection: Approximation theoretic aspects and distance functions

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Learning SVM Classifiers with Indefinite Kernels

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Boîte à outils SVM simple et rapide

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Similarity-based Classification: Concepts and Algorithms

inferredcites →https://doi.org/10.7551/mitpress/1113.003.0012openalex-snapshot

Generalized Support Vector Machines

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.4661955openalex-extracted

Imbalanced Classification Krein Spaces Kernel Methods Support Vector Machines

inferred← citeshttps://doi.org/10.1002/cjce.23642openalex-snapshot

Chemical process fault diagnosis based on enchanted machine‐learning approach

inferred← citeshttps://doi.org/10.1007/978-1-4471-5571-3_16openalex-snapshot

Support Vector Machines

inferred← citeshttps://doi.org/10.1007/978-1-4471-7452-3_21openalex-snapshot

Support Vector Machines

inferred← citeshttps://doi.org/10.1007/978-3-030-66125-0_7openalex-snapshot

Encoding of Indefinite Proximity Data: A Structure Preserving Perspective

inferred← citeshttps://doi.org/10.1007/978-3-031-09282-4_39openalex-snapshot

Interpolation Kernel Machine and Indefinite Kernel Methods for Graph Classification

inferred← citeshttps://doi.org/10.1007/978-3-031-58956-0_1openalex-snapshot

Mobile Application for Calorie Control Using Machine Learning

inferred← citeshttps://doi.org/10.1007/978-3-031-70371-3_11openalex-snapshot

Enhancing Shortest-Path Graph Kernels via Graph Augmentation

inferred← citeshttps://doi.org/10.1007/978-3-032-35078-7_3openalex-snapshot

Independence Testing with Indefinite Kernels in Reproducing Kernel Kreĭn Spaces

inferred← citeshttps://doi.org/10.1007/978-3-319-45823-6_7openalex-snapshot

Efficient Global Optimization with Indefinite Kernels

inferred← citeshttps://doi.org/10.1007/978-3-319-70087-8_31openalex-snapshot

Robust Kernel Approximation for Classification

inferred← citeshttps://doi.org/10.1007/978-3-319-97785-0_17openalex-snapshot

Sparsification of Indefinite Learning Models

inferred← citeshttps://doi.org/10.1007/s00500-018-3648-1openalex-snapshot

An empirical approach for probing the definiteness of kernels

inferred← citeshttps://doi.org/10.1007/s10586-017-0802-yopenalex-snapshot

Improved support vector machines model based on multi-spectral parameters

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A density-based maximum margin machine classifier

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Counts-of-counts similarity for prediction and search in relational data

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Indefinite Abstract Splines with a Quadratic Constraint

inferred← citeshttps://doi.org/10.1007/s10994-021-05955-2openalex-snapshot

Analysis of regularized least-squares in reproducing kernel Kreĭn spaces

inferred← citeshttps://doi.org/10.1007/s11063-019-10019-7openalex-snapshot

A Primal Framework for Indefinite Kernel Learning

inferred← citeshttps://doi.org/10.1007/s11704-018-7402-8openalex-snapshot

A maximum margin clustering algorithm based on indefinite kernels

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A primal perspective for indefinite kernel SVM problem

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Towards kernelizing the classifier for hyperbolic data

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A faster SVM classification technique for remote sensing images using reduced training samples

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Twin support vector machine based on adjustable large margin distribution for pattern classification

inferred← citeshttps://doi.org/10.1007/s41109-019-0195-3openalex-snapshot

A survey on graph kernels

inferred← citeshttps://doi.org/10.1016/j.acha.2016.09.001openalex-snapshot

Indefinite kernels in least squares support vector machines and principal component analysis

inferred← citeshttps://doi.org/10.1016/j.chemolab.2017.11.018openalex-snapshot

Steel surface defect classification using multiple hyper-spheres support vector machine with additional information

inferred← citeshttps://doi.org/10.1016/j.neucom.2016.12.091openalex-snapshot

Types of (dis-)similarities and adaptive mixtures thereof for improved classification learning

inferred← citeshttps://doi.org/10.1016/j.neucom.2018.08.057openalex-snapshot

Supervised low rank indefinite kernel approximation using minimum enclosing balls

inferred← citeshttps://doi.org/10.1016/j.neucom.2020.05.054openalex-snapshot

Optimal feasible step-size based working set selection for large scale SVMs training

inferred← citeshttps://doi.org/10.1016/j.neucom.2023.126635openalex-snapshot

Static and adaptive subspace information fusion for indefinite heterogeneous proximity data

inferred← citeshttps://doi.org/10.1016/j.patcog.2017.06.003openalex-snapshot

Indefinite Core Vector Machine

inferred← citeshttps://doi.org/10.1016/j.patcog.2018.01.014openalex-snapshot

Indefinite kernel spectral learning

inferred← citeshttps://doi.org/10.1016/j.patcog.2021.108195openalex-snapshot

Indefinite twin support vector machine with DC functions programming

inferred← citeshttps://doi.org/10.1016/j.patrec.2017.08.006openalex-snapshot

Adaptive spectrum transformation by topology preservation on indefinite proximity data

inferred← citeshttps://doi.org/10.1016/j.patrec.2018.03.016openalex-snapshot

Trends in graph-based representations for Pattern Recognition

inferred← citeshttps://doi.org/10.1016/j.patrec.2019.10.024openalex-snapshot

Sparsification of core set models in non-metric supervised learning

inferred← citeshttps://doi.org/10.1016/j.patrec.2024.03.017openalex-snapshot

Kreĭn twin support vector machines for imbalanced data classification

inferred← citeshttps://doi.org/10.1016/j.patrec.2024.08.022openalex-snapshot

Polynomial kernel learning for interpolation kernel machines with application to graph classification

inferred← citeshttps://doi.org/10.1016/j.sigpro.2021.108281openalex-snapshot

LCS graph kernel based on Wasserstein distance in longest common subsequence metric space

inferred← citeshttps://doi.org/10.1016/j.ymssp.2021.108013openalex-snapshot

Polyphase uncertainty analysis through virtual modelling technique

inferred← citeshttps://doi.org/10.1017/9781108679930openalex-snapshot

Mathematics for Machine Learning

inferred← citeshttps://doi.org/10.1017/9781108679930.001openalex-snapshot

Preface

inferred← citeshttps://doi.org/10.1017/9781108679930.002openalex-snapshot

Acknowledgments

inferred← citeshttps://doi.org/10.1017/9781108679930.003openalex-snapshot

Introduction and Motivation

inferred← citeshttps://doi.org/10.1017/9781108679930.004openalex-snapshot

Linear Algebra

inferred← citeshttps://doi.org/10.1017/9781108679930.005openalex-snapshot

Analytic Geometry

inferred← citeshttps://doi.org/10.1017/9781108679930.006openalex-snapshot

Matrix Decompositions

inferred← citeshttps://doi.org/10.1017/9781108679930.007openalex-snapshot

Vector Calculus

inferred← citeshttps://doi.org/10.1017/9781108679930.008openalex-snapshot

Probability and Distributions

inferred← citeshttps://doi.org/10.1017/9781108679930.009openalex-snapshot

Continuous Optimization

inferred← citeshttps://doi.org/10.1017/9781108679930.010openalex-snapshot

When Models Meet Data

inferred← citeshttps://doi.org/10.1017/9781108679930.011openalex-snapshot

Linear Regression

inferred← citeshttps://doi.org/10.1017/9781108679930.012openalex-snapshot

Dimensionality Reduction with Principal Component Analysis

inferred← citeshttps://doi.org/10.1017/9781108679930.013openalex-snapshot

Density Estimation with Gaussian Mixture Models

inferred← citeshttps://doi.org/10.1017/9781108679930.014openalex-snapshot

Classification with Support Vector Machines

inferred← citeshttps://doi.org/10.1017/9781108679930.015openalex-snapshot

Index

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A novel kernel based approach to arbitrary length symbolic data with application to type 2 diabetes risk

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Krein support vector machine classification of antimicrobial peptides

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Application of symmetric uncertainty and emperor penguin–grey wolf optimisation for feature selection in motor fault classification

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Supervised learning with indefinite topological Kernels

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A Robust Feature Fusion Method for Camera-Based Highway Guardrail Detection

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End-To-End Graph-Based Deep Semi-Supervised Learning with Extended Graph Laplacian

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Classification method based on global and local support vector machine

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Cross product kernels for fuzzy set similarity

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A Wasserstein Subsequence Kernel for Time Series

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A Regularized Wasserstein Framework for Graph Kernels

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Deep learning based detection of plant nutrient deficiency symptom and design of multi-layer greenhouse system

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Non-Mercer Large Scale Multiclass Least Squares Minimal Complexity Machines

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Memory Efficient Kernel Approximation for Non-Stationary and Indefinite Kernels

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Radar emitter fingerprint recognition based on bispectrum and SURF feature

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Scalable embedding of multiple perspectives for indefinite life-science data analysis

inferred← citeshttps://doi.org/10.1109/tai.2023.3333830openalex-snapshot

Multiscale Wasserstein Shortest-Path Graph Kernels for Graph Classification

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Beyond Histogram Comparison: Distribution-Aware Simple-Path Graph Kernels

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Automatic Detection of Negative Symptoms in Schizophrenia via Acoustically Measured Features Associated With Affective Flattening

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On the Definiteness of Earth Mover’s Distance and Its Relation to Set Intersection

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Distributional Shortest-Path Graph Kernels

inferred← citeshttps://doi.org/10.1109/tnnls.2017.2668610openalex-snapshot

Classification With Truncated $\ell _{1}$ Distance Kernel

inferred← citeshttps://doi.org/10.1109/tnnls.2018.2851305openalex-snapshot

Indefinite Kernel Logistic Regression With Concave-Inexact-Convex Procedure

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A Double-Variational Bayesian Framework in Random Fourier Features for Indefinite Kernels

inferred← citeshttps://doi.org/10.1109/tpami.2023.3257351openalex-snapshot

Learning With Asymmetric Kernels: Least Squares and Feature Interpretation

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Indefinite Kernel Logistic Regression

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Efficient Global String Kernel with Random Features

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Unlocking the Potential of Non-PSD Kernel Matrices: A Polar Decomposition-based Transformation for Improved Prediction Models

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Causative word extraction and analysis based on text data of metro safety events

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Key issues of support vector machines and future prospects

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Adaptive multi-modal positive semi-definite and indefinite kernel fusion for binary classification

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Optimizing a Interpretable Diagnostic Model for Colorectal Cancer Based on Yin Deficiency Pattern Characteristic Genes Using 21 Machine Learning Algorithms and Bayesian Opitimization

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Self-promotion learning with label prediction and revision for SVM

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Data-Driven Supervised Learning for Life Science Data

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Machine Learning-Based Model for Predicting Incidence and Severity of Acute Ischemic Stroke in Anterior Circulation Large Vessel Occlusion

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Prediction and Optimization of Open-Pit Mine Blasting Based on Intelligent Algorithms

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Exploring Kernel Machines and Support Vector Machines: Principles, Techniques, and Future Directions

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A feasible k-means kernel trick under non-Euclidean feature space

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Geometric Learning with Positively Decomposable Kernels

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Model predictive control for chlorine dosing of drinking water treatment based on support vector machine model

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Structure Preserving Encoding of Non-euclidean Similarity Data

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Support vector machine for elastic planar shape on the linearized space

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