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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.

169,051 papers · 148 categories

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0.5%1.0%1.4%1.9% · Dec 201619922001200920172026
48 results for L1-regularized SVM

New algorithms solve L1-regularized SVMs and related LPs, outperforming existing methods.

problem Solving large-scale L1-regularized SVMs and related linear programs.
method Combining column/constraint generation with first-order methods for non-smooth convex optimization.
result Our approach significantly outperforms commercial solvers and specialized implementations.

Proposes an L1-regularized functional SVM for binary classification with functional covariates.

problem Binary classification with multivariate functional covariates.
method L1-regularized functional support vector machine (SVM) with an accompanying algorithm.
result The proposed classifier performs well in prediction and feature selection.

We compute approximate solutions to L0 regularized linear regression using L1 regularization, also known as the Lasso, as an initialization step. Our algorithm, the Lass-0 ("Lass-zero"), uses a computationally efficient stepwise search to determine a locally optimal L0 solution given any L1 regularization solution. We …

2015-11-13abs ↗pdf ↗

Solving logistic regression with L1-regularization in distributed settings is an important problem. This problem arises when training dataset is very large and cannot fit the memory of a single machine. We present d-GLMNET, a new algorithm solving logistic regression with L1-regularization in the distributed settings. …

2014-11-24abs ↗pdf ↗

This paper analyzes l1-regularized PageRank for local graph clustering, proving its effectiveness and efficiency.

problem Local graph clustering in large graphs, focusing on recovering a single target cluster given a seed node.
method Statistical analysis of l1-regularized PageRank method for recovery of a target cluster.
result l1-regularized PageRank recovers the full target cluster with bounded false positives and exactly the target cluster if the seed is connected solely to it.

Coordinate descent with random coordinate selection is the current state of the art for many large scale optimization problems. However, greedy selection of the steepest coordinate on smooth problems can yield convergence rates independent of the dimension nn, and requiring upto nn times fewer iterations. In this pap…

2018-10-16abs ↗pdf ↗

Efficient learning of minimax risk classifiers in high dimensions.

problem Efficient learning of classifiers in high-dimensional data.
method Iterative algorithm leveraging constraint generation methods for minimax risk classifiers.
result The algorithm provides efficient learning and feature selection in high-dimensional scenarios.

Large-scale L1-regularized loss minimization problems arise in high-dimensional applications such as compressed sensing and high-dimensional supervised learning, including classification and regression problems. High-performance algorithms and implementations are critical to efficiently solving these problems. Building…

2012-12-17abs ↗pdf ↗

The paper introduces a new screening method for faster L1 regularization.

problem Efficiently solving the _1\ell\_{1}-regularized least squares problem.
method Combining safe screening tests and structured dictionary approximations.
result Significant reductions in computational complexity and execution times.

A new method solves l1-regularized optimization problems efficiently and sparsely.

problem l1-regularized optimization problems in machine learning.
method Orthant Based Proximal Stochastic Gradient Method (OBProx-SG)
result Promotes sparsity of solutions substantially and converges to global optimal solutions.

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 ↗

LSTD is a popular algorithm for value function approximation. Whenever the number of features is larger than the number of samples, it must be paired with some form of regularization. In particular, L1-regularization methods tend to perform feature selection by promoting sparsity, and thus, are well-suited for high-dim…

2012-06-27abs ↗pdf ↗

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 ↗

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.

Training of one-vs.-rest SVMs can be parallelized over the number of classes in a straight forward way. Given enough computational resources, one-vs.-rest SVMs can thus be trained on data involving a large number of classes. The same cannot be stated, however, for the so-called all-in-one SVMs, which require solving a …

2016-11-25abs ↗pdf ↗

We describe a novel binary classification technique called Banded SVM (B-SVM). In the standard C-SVM formulation of Cortes et al. (1995), the decision rule is encouraged to lie in the interval [1, \infty]. The new B-SVM objective function contains a penalty term that encourages the decision rule to lie in a user specif…

2011-07-12abs ↗pdf ↗

SaR-SVM-STV improves hyperspectral image classification with shape-adaptive reconstruction and denoising.

problem Classifying hyperspectral images with limited labeled data.
method Shape-adaptive Reconstruction (SaR) for pixel preprocessing, SVM for probability estimation, and Smoothed Total Variation (STV) for denoising.
result SaR-SVM-STV outperforms SVM-STV with fewer labeled data.

SVM used for estimating treatment effects without confounding.

problem Estimating average treatment effects in the presence of confounding variables.
method Adapts SVM classifier as a kernel-based weighting procedure to balance covariates and estimate causal effects.
result SVM provides a continuous relaxation of the quadratic integer program for balancing covariates and maximizing effective sample size.

We introduce Universum learning for multiclass problems and propose a novel formulation for multiclass universum SVM (MU-SVM). We also propose an analytic span bound for model selection with almost 2-4x faster computation times than standard resampling techniques. We empirically demonstrate the efficacy of the proposed…

2018-08-23abs ↗pdf ↗

One of the limiting factors of using support vector machines (SVMs) in large scale applications are their super-linear computational requirements in terms of the number of training samples. To address this issue, several approaches that train SVMs on many small chunks of large data sets separately have been proposed in…

2015-07-23abs ↗pdf ↗

Quantum LS-SVM simplifies matrix inversion for faster machine learning.

problem Speeding up machine learning algorithms for large datasets.
method Introduces a novel quantum algorithm using continuous variables to simplify matrix inversion in LS-SVM, and proposes a hybrid quantum-classical approach for sparse solutions.
result Quantum LS-SVM achieves exponential speed-up and can solve classically difficult tasks.

PLIT identifies plant lncRNAs from RNA-seq data with high accuracy.

problem Inaccurate identification of lncRNAs in plant transcriptomic datasets.
method PLIT uses L1 regularization and iRF classification to select optimal features from sequence and codon-bias data.
result PLIT outperforms existing CPC tools in identifying lncRNAs in plant RNA-seq datasets.

New method for sparse kernel selection improves prediction accuracy.

problem Sparse Multiple Kernel Learning for binary classification.
method Alternating best response algorithm with semidefinite relaxations.
result Method outperforms state-of-the-art MKL approaches in prediction accuracy.

The paper improves SVM and localized SVM stability under triple perturbations.

problem Stability of SVMs and localized SVMs under triple perturbations.
method Generalizes and improves existing results, considering simultaneous variations in probability measure, regularization parameter, and kernel.
result Improved stability of SVMs and localized SVMs under triple perturbations.

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 ↗