Optimization approaches to supervised classification
From MaRDI portal
Publication:1753623
DOI10.1016/j.ejor.2017.02.020zbMath1403.62114OpenAlexW2594403644MaRDI QIDQ1753623
Publication date: 29 May 2018
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2017.02.020
Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of mathematical programming (90C90)
Related Items
The maximum feasible subset problem (maxFS) and applications, Mathematical optimization in classification and regression trees, Global optimization issues in deep network regression: an overview, Faster maximum feasible subsystem solutions for dense constraint matrices, Tightening big Ms in integer programming formulations for support vector machines with ramp loss, A comparative study of the leading machine learning techniques and two new optimization algorithms, Sparsity in optimal randomized classification trees, On support vector machines under a multiple-cost scenario, A maximum-margin multisphere approach for binary multiple instance learning
Uses Software
Cites Work
- Regularized linear discriminant analysis and its application in microarrays
- A nested heuristic for parameter tuning in support vector machines
- Supervised classification and mathematical optimization
- Machine learning for global optimization
- Linear separation and approximation by minimizing the sum of concave functions of distances
- Tabu search approaches for solving the two-group classification problem
- Mathematical programming approaches to classification problems
- A comparison of standard and two-stage mathematical programming discriminant analysis methods
- Oscillation heuristics for the two-group classification problem
- An incremental piecewise linear classifier based on polyhedral conic separation
- Exact \(L_{2}\)-norm plane separation
- Alternating local search based VNS for linear classification
- A tabu search with an oscillation strategy for the discriminant analysis problem
- Support vector machines with adaptive \(L_q\) penalty
- The place of the \(L_ 1\)-norm in robust estimation
- Simple but powerful goal programming models for discriminant problems
- Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem
- Multicategory classification by support vector machines
- Arbitrary-norm separating plane
- Second order mathematical programming formulations for discriminant analysis
- On the performance of linear programming heuristics applied on a quadratic transformation in the classification problem
- A comment regarding polynomial discriminant functions
- The Warmack-Gonzalez algorithm for linear two-category multivariable optimal discriminant analysis
- Misclassification minimization
- The complexity and approximability of finding maximum feasible subsystems of linear relations
- Nontraditional approaches to statistical classification: Some perspectives on \(L_ p\)-norm methods
- Solving mixed integer classification problems by decomposition
- Mathematical programming formulations for two-group classification with binary variables
- A mixed integer programming algorithm for minimizing the training sample misclassification cost in two-group classification
- Examination of the classificatory performance of MIP models with secondary goals for the two-group discriminant problem
- Finding the minimum weight IIS cover of an infeasible system of linear inequalities
- An effective polynomial-time heuristic for the minimum-cardinality IIS set-covering problem
- On the maximum feasible subsystem problem, IISs and IIS-hypergraphs
- A combinatorial approach to the classification problem
- Combining discriminant models with new multi-class SVMs
- An iterative mixed integer programming method for classification accuracy maximizing discriminant analysis
- Support-vector networks
- Forecasting financial failure using a Kohonen map: a comparative study to improve model stability over time
- How to solve a semi-infinite optimization problem
- Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
- Massive data classification via unconstrained support vector machines
- Pattern separation by convex programming
- On a class of pattern recognition learning algorithms
- Mathematical programming based heuristics for improving LP-generated classifiers for the multiclass supervised classification problem
- Using SVM to combine global heuristics for the standard quadratic problem
- Comprehensible credit scoring models using rule extraction from support vector machines
- Support vector machines with different norms: motivation, formulations and results
- Fast Heuristics for the Maximum Feasible Subsystem Problem
- On the Selection of the Globally Optimal Prototype Subset for Nearest-Neighbor Classification
- Piecewise Linear Classifiers Based on Nonsmooth Optimization Approaches
- Support Vector Machines with the Ramp Loss and the Hard Margin Loss
- Integer programming methods for normalisation and variable selection in mathematical programming discriminant analysis models
- Dichotomous categorical variable formation in mathematical programming discriminant analysis models
- A MIXED INTEGER PROGRAMMING MODEL FOR MULTIPLE-CLASS DISCRIMINANT ANALYSIS
- Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties
- Mathematical Programming Methods of Pattern Classification
- An Algorithm for the Optimal Solution of Linear Inequalities and its Application to Pattern Recognition
- Combinatorial Benders' Cuts for Mixed-Integer Linear Programming
- An additive utility mixed integer programming model for nonlinear discriminant analysis
- Learnability and the Vapnik-Chervonenkis dimension
- Chunking for massive nonlinear kernel classification
- Heuristics for feature selection in mathematical programming discriminant analysis models
- Branch-and-Cut for the Maximum Feasible Subsystem Problem
- Robust Truncated Hinge Loss Support Vector Machines
- Optimal Criterion Weights in Repetitive Multicriteria Decision-Making
- A theory of the learnable
- Integer Programming Solution of a Classification Problem
- Locating Minimal Infeasible Constraint Sets in Linear Programs
- Discriminant Functions When Covariance Matrices are Unequal
- The Efficiency of Logistic Regression Compared to Normal Discriminant Analysis
- Choosing Between Logistic Regression and Discriminant Analysis
- Finding a Useful Subset of Constraints for Analysis in an Infeasible Linear Program
- A Parametric Optimization Method for Machine Learning
- Multigroup Discriminant Analysis Using Linear Programming
- THE EFFECTS OF MISCLASSIFICATION COSTS AND SKEWED DISTRIBUTIONS IN TWO-GROUP CLASSIFICATION
- On ψ-Learning
- Mathematical programming models for piecewise-linear discriminant analysis
- 10.1162/153244302760200687
- Examining Optimal Criterion Weights in Mixed Integer Programming Approaches to the Multiple-group Classification Problem
- Breast Cancer Diagnosis and Prognosis Via Linear Programming
- Massive data discrimination via linear support vector machines
- Learning Theory and Kernel Machines
- Learning Theory and Kernel Machines
- Max–min separability
- Linear and Nonlinear Separation of Patterns by Linear Programming
- Minimum Sample Size Considerations for Two-Group Linear and Quadratic Discriminant Analysis with Rare Populations
- Arbitrary-norm hyperplane separation by variable neighbourhood search
- Second-Order SMO Improves SVM Online and Active Learning
- Multicategory Support Vector Machines
- Applied MANOVA and Discriminant Analysis
- Separation via polyhedral conic functions
- Multisurface method of pattern separation
- Adaptive Linear Classifier by Linear Programming
- Separate sample logistic discrimination
- On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
- On Estimation of a Probability Density Function and Mode
- A Road to Classification in High Dimensional Space: The Regularized Optimal Affine Discriminant
- Statistical Decision Functions
- On a Statistical Problem Arising in the Classification of an Individual into One of Two Groups
- Efficient variable screening for multivariate analysis
- Random forests
- Polyhedral separability through successive LP
- Support vector machines for classification in nonstandard situations
- Gene selection for cancer classification using support vector machines
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item