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This paper considers convex quadratic programs associated with the training of support vector machines (SVM). Exploiting the special structure of the SVM problem a new type of active set method with long cycles and stable rank-one-updates…

Optimization and Control · Mathematics 2025-04-09 Florian Jarre

Kernel-based regularized risk minimizers, also called support vector machines (SVMs), are known to possess many desirable properties but suffer from their super-linear computational requirements when dealing with large data sets. This…

Machine Learning · Statistics 2023-05-17 Hannes Köhler

We study a fundamental class of regression models called the second order linear model (SLM). The SLM extends the linear model to high order functional space and has attracted considerable research interest recently. Yet how to efficiently…

Machine Learning · Statistics 2017-06-26 Ming Lin , Shuang Qiu , Bin Hong , Jieping Ye

We present a system and a set of techniques for learning linear predictors with convex losses on terascale datasets, with trillions of features, {The number of features here refers to the number of non-zero entries in the data matrix.}…

Machine Learning · Computer Science 2013-07-15 Alekh Agarwal , Olivier Chapelle , Miroslav Dudik , John Langford

Vertical federated learning trains models from feature-partitioned datasets across multiple clients, who collaborate without sharing their local data. Standard approaches assume that all feature partitions are available during both training…

Machine Learning · Computer Science 2025-04-23 Pedro Valdeira , Shiqiang Wang , Yuejie Chi

Causal machine-learning is about predicting the net-effect (true-lift) of treatments. Given the data of a treatment group and a control group, it is similar to a standard supervised-learning problem. Unfortunately, there is no similarly…

Machine Learning · Computer Science 2020-01-06 I-Sheng Yang

The support vector machine (SVM) is an important class of learning machines for function approach, pattern recognition, and time-serious prediction, etc. It maps samples into the feature space by so-called support vectors of selected…

Machine Learning · Statistics 2016-02-15 Hong Zhao

Support vector machines are widely used in machine learning classification tasks, but traditional SVM models suffer from sensitivity to outliers and instability in resampling, which limits their performance in practical applications. To…

Machine Learning · Statistics 2025-12-01 Shibo Diao

Kernel-based support vector machines (SVMs) are supervised machine learning algorithms for classification and regression problems. We introduce a method to train SVMs on a D-Wave 2000Q quantum annealer and study its performance in…

Machine Learning · Computer Science 2021-01-27 Dennis Willsch , Madita Willsch , Hans De Raedt , Kristel Michielsen

When developing scientific machine learning (ML) approaches, it is often beneficial to embed knowledge of the physical system in question into the training process. One way to achieve this is by leveraging the specific characteristics of…

Fluid Dynamics · Physics 2025-09-09 Samuel J. Baker , Shubham Goswami , Xiaohang Fang , Felix C. P. Leach

Twin support vector machine (TSVM), a variant of support vector machine (SVM), has garnered significant attention due to its $3/4$ times lower computational complexity compared to SVM. However, due to the utilization of the hinge loss…

Machine Learning · Computer Science 2024-10-01 Mushir Akhtar , M. Tanveer , Mohd. Arshad

Using methods of Statistical Physics, we investigate the generalization performance of support vector machines (SVMs), which have been recently introduced as a general alternative to neural networks. For nonlinear classification rules, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rainer Dietrich , Manfred Opper , Haim Sompolinsky

Single Index Models (SIMs) are simple yet flexible semi-parametric models for classification and regression. Response variables are modeled as a nonlinear, monotonic function of a linear combination of features. Estimation in this context…

Machine Learning · Statistics 2015-07-01 Ravi Ganti , Nikhil Rao , Rebecca M. Willett , Robert Nowak

The support vector machine (SVM) is one of the most successful learning methods for solving classification problems. Despite its popularity, SVM has a serious drawback, that is sensitivity to outliers in training samples. The penalty on…

Machine Learning · Statistics 2014-09-04 Takafumi Kanamori , Shuhei Fujiwara , Akiko Takeda

In this paper, we compare predictive models for students' final performance in a blended course using a set of generic features collected from the first six weeks of class. These features were extracted from students' online homework…

Artificial Intelligence · Computer Science 2018-12-04 Hengxuan Li , Collin F. Lynch , Tiffany Barnes

We provide a formulation for Local Support Vector Machines (LSVMs) that generalizes previous formulations, and brings out the explicit connections to local polynomial learning used in nonparametric estimation literature. We investigate the…

Machine Learning · Statistics 2018-05-23 Ravi Ganti , Alexander Gray

The complex nature of lithium-ion battery degradation has led to many machine learning based approaches to health forecasting being proposed in literature. However, machine learning can be computationally intensive. Linear approaches are…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Samuel Greenbank , David A. Howey

The huge amount of available data nowadays is a challenge for kernel-based machine learning algorithms like SVMs with respect to runtime and storage capacities. Local approaches might help to relieve these issues and to improve statistical…

Machine Learning · Statistics 2019-03-05 Florian Dumpert

In this article, a large dimensional performance analysis of kernel least squares support vector machines (LS-SVMs) is provided under the assumption of a two-class Gaussian mixture model for the input data. Building upon recent advances in…

Machine Learning · Statistics 2021-03-18 Zhenyu Liao , Romain Couillet

We propose a polynomial force-motion model for planar sliding. The set of generalized friction loads is the 1-sublevel set of a polynomial whose gradient directions correspond to generalized velocities. Additionally, the polynomial is…

Robotics · Computer Science 2016-06-17 Jiaji Zhou , Robert Paolini , J. Andrew Bagnell , Matthew T. Mason