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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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122244365487 · May 202619922001200920182026
48 results for structured SVM

When applying the support vector machine (SVM) to high-dimensional classification problems, we often impose a sparse structure in the SVM to eliminate the influences of the irrelevant predictors. The lasso and other variable selection techniques have been successfully used in the SVM to perform automatic variable selec…

2007-10-02abs ↗pdf ↗

In this work, we propose the marginal structured SVM (MSSVM) for structured prediction with hidden variables. MSSVM properly accounts for the uncertainty of hidden variables, and can significantly outperform the previously proposed latent structured SVM (LSSVM; Yu & Joachims (2009)) and other state-of-art methods, espe…

2014-09-04abs ↗pdf ↗

We propose a randomized block-coordinate variant of the classic Frank-Wolfe algorithm for convex optimization with block-separable constraints. Despite its lower iteration cost, we show that it achieves a similar convergence rate in duality gap as the full Frank-Wolfe algorithm. We also show that, when applied to the d…

2012-07-19abs ↗pdf ↗

This paper presents a unified framework to tackle estimation problems in Digital Signal Processing (DSP) using Support Vector Machines (SVMs). The use of SVMs in estimation problems has been traditionally limited to its mere use as a black-box model. Noting such limitations in the literature, we take advantage of sever…

2013-11-21abs ↗pdf ↗

Efficiently solves large-scale SVMs with sparse semismooth Newton method.

problem Numerical difficulties in solving large-scale SVMs.
method Sparse semismooth Newton based augmented Lagrangian method.
result Outperforms state-of-the-art solvers for large-scale SVMs.

Faster algorithms for structured SVMs reduce computation time.

problem Efficiently solving quadratic programming problems with specific structures.
method Designing nearly-linear time algorithms for quadratic programs with low-rank factorizations and few linear constraints.
result First nearly-linear time algorithms for solving quadratic programs with specific structures.

Support Vector Machines, SVMs, and the Large Margin Nearest Neighbor algorithm, LMNN, are two very popular learning algorithms with quite different learning biases. In this paper we bring them into a unified view and show that they have a much stronger relation than what is commonly thought. We analyze SVMs from a metr…

2012-01-23abs ↗pdf ↗

Unified SVM framework tackles multiclass and multilabel classification.

problem Extending SVM to handle multiclass and multilabel problems.
method Unified framework with class-specific weight vectors and penalizing patterns close to an origin.
result Unified framework achieves competitive performance for multiclass and multilabel classification.

This work extends SVM error bounds to weighted SVM and introduces hyperparameter selection methods.

problem Improving SVM performance through effective hyperparameter selection.
method Extending span error bound theory to weighted SVM and introducing hyperparameter selection methods.
result The span rule is the most effective method for weighted SVM hyperparameter selection and provides the best predictor of test error.

Support vector machines (SVMs) are invaluable tools for many practical applications in artificial intelligence, e.g., classification and event recognition. However, popular SVM solvers are not sufficiently efficient for applications with a great deal of samples as well as a large number of features. In this paper, thus…

2010-08-24abs ↗pdf ↗

Paper addresses SVM bias in high-dimension, low-sample-size settings.

problem Bias in SVM performance in high-dimension, low-sample-size settings.
method Proposes a bias-corrected SVM (BC-SVM) to improve SVM performance.
result BC-SVM gives preferable performances in high-dimension, low-sample-size settings.

A method for interpreting SVMs using polynomial kernels, revealing model complexity.

problem Interpreting SVMs built with truncated orthogonal polynomial kernels.
method Orthogonal Representation Contribution Analysis (ORCA) with normalized Orthogonal Kernel Contribution (OKC) indices.
result The method reveals structural aspects of model complexity not captured by predictive accuracy.

New NHCAs improve multi-category classification efficiency.

problem Efficient multi-category classification for real-world problems.
method Twin SVM (TWSVM), Generalized eigenvalue proximal SVM (GEPSVM), Regularized GEPSVM (RegGEPSVM), and Improved GEPSVM (IGEPSVM) with OAA, BT, and TDS approaches.
result TDS-TWSVM outperforms other methods in classification accuracy.

Localized SVMs achieve better performance with less computation.

problem Super-linear computational requirements of SVMs in large datasets.
method Localized SVM approach with partition of input space, least squares regression, Gaussian kernels, and data-dependent parameter selection.
result Local learning rates are minimax optimal and achieve similar test performance to global SVMs with less computation.

Homotopy method improves robust SVM performance in noisy data.

problem Robust SVM learning with unreliable data and hyperparameter tuning issues.
method Introducing a homotopy approach to find local optimal solutions of non-convex robust SVM.
result Homotopy method provides stable and efficient model selection for robust SVM.

This paper improves SVM classification using a differentiable loss function and a gradient method.

problem Improving SVM classification with a differentiable loss function.
method Uses the Huberized Support Vector Machine (HSVM) and Proximal Gradient (PG) method.
result The proposed method converges linearly and supports the solution in finite time.

Prior knowledge can be used to improve predictive performance of learning algorithms or reduce the amount of data required for training. The same goal is pursued within the learning using privileged information paradigm which was recently introduced by Vapnik et al. and is aimed at utilizing additional information avai…

2013-06-13abs ↗pdf ↗

Paper introduces MKL-L0/1L_{0/1}-SVM for SVM with (0,1)(0, 1) loss.

problem Optimization of SVM with (0,1)(0, 1) loss function.
method MKL framework combined with ADMM algorithm for solving the optimization problem.
result Performance of MKL-L0/1L_{0/1}-SVM comparable to SimpleMKL.

Support Vector Machine (SVM) is powerful classification technique based on the idea of structural risk minimization. Use of kernel function enables curse of dimensionality to be addressed. However, proper kernel function for certain problem is dependent on specific dataset and as such there is no good method on choice …

2014-03-03abs ↗pdf ↗

The paper uses KKT conditions to reveal new insights into SVM behavior.

problem Understanding SVM behavior and tuning.
method Using Karush-Kuhn-Tucker conditions to explore SVM connections with other classifiers.
result SVM can be seen as a cropped version of mean difference and maximal data piling direction classifiers.