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In this work we study binary classification problems where we assume that our training data is subject to uncertainty, i.e. the precise data points are not known. To tackle this issue in the field of robust machine learning the aim is to…

机器学习 · 计算机科学 2022-03-04 Jannis Kurtz

We study the typical properties of polynomial Support Vector Machines within a Statistical Mechanics approach that allows us to analyze the effect of different normalizations of the features. If the normalization is adecuately chosen, there…

无序系统与神经网络 · 物理学 2009-09-25 Sebastian Risau-Gusman , Mirta B. Gordon

Motivated by the problem of learning with small sample sizes, this paper shows how to incorporate into support-vector machines (SVMs) those properties that have made convolutional neural networks (CNNs) successful. Particularly important is…

机器学习 · 计算机科学 2022-10-25 Tao Liu , P. R. Kumar , Ruida Zhou , Xi Liu

Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive features interpretation of their solutions is quite…

机器学习 · 计算机科学 2019-01-29 Tomasz Maszczyk , Włodzisław Duch

We consider regularized support vector machines (SVMs) and show that they are precisely equivalent to a new robust optimization formulation. We show that this equivalence of robust optimization and regularization has implications for both…

机器学习 · 计算机科学 2010-02-25 Huan Xu , Constantine Caramanis , Shie Mannor

Machine learning is making substantial progress in diverse applications. The success is mostly due to advances in deep learning. However, deep learning can make mistakes and its generalization abilities to new tasks are questionable. We ask…

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

机器学习 · 计算机科学 2014-05-26 Teng Zhang , Zhi-Hua Zhou

Many machine learning algorithms are based on the assumption that training examples are drawn independently. However, this assumption does not hold anymore when learning from a networked sample because two or more training examples may…

人工智能 · 计算机科学 2017-06-06 Yuyi Wang , Jan Ramon , Zheng-Chu Guo

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…

机器学习 · 统计学 2016-02-15 Hong Zhao

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…

机器学习 · 计算机科学 2021-01-27 Dennis Willsch , Madita Willsch , Hans De Raedt , Kristel Michielsen

This paper proposes a robust classification model, based on support vector machine (SVM), which simultaneously deals with outliers detection and feature selection. The classifier is built considering the ramp loss margin error and it…

The support vector machine (SVM) algorithm is well known to the computer learning community for its very good practical results. The goal of the present paper is to study this algorithm from a statistical perspective, using tools of…

统计理论 · 数学 2008-12-18 Gilles Blanchard , Olivier Bousquet , Pascal Massart

We present a novel machine learning architecture for classification suggested by experiments on olfactory systems. The network separates input stimuli, represented as spatially distinct currents, via winnerless competition---a process based…

生物物理 · 物理学 2020-06-18 Jason A. Platt , Anna Miller , Lawson Fuller , Henry D. I. Abarbanel

Multivariate data analysis techniques have the potential to improve physics analyses in many ways. The common classification problem of signal/background discrimination is one example. The Support Vector Machine learning algorithm is a…

高能物理 - 实验 · 物理学 2009-11-07 A. Vaiciulis

Normalizing flows are powerful non-parametric statistical models that function as a hybrid between density estimators and generative models. Current learning algorithms for normalizing flows assume that data points are sampled…

机器学习 · 计算机科学 2023-05-31 Matthias Kirchler , Christoph Lippert , Marius Kloft

Kernelized Support Vector Machines (SVMs) are among the best performing supervised learning methods. But for optimal predictive performance, time-consuming parameter tuning is crucial, which impedes application. To tackle this problem, the…

机器学习 · 统计学 2016-02-11 Aydin Demircioglu , Daniel Horn , Tobias Glasmachers , Bernd Bischl , Claus Weihs

The time complexity of support vector machines (SVMs) prohibits training on huge data sets with millions of data points. Recently, multilevel approaches to train SVMs have been developed to allow for time-efficient training on huge data…

机器学习 · 计算机科学 2020-01-29 Sebastian Schlag , Matthias Schmitt , Christian Schulz

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…

机器学习 · 统计学 2015-07-24 Mona Eberts , Ingo Steinwart

Based on limited observations, machine learning discerns a dependence which is expected to hold in the future. What makes it possible? Statistical learning theory imagines indefinitely increasing training sample to justify its approach. In…

机器学习 · 计算机科学 2025-01-06 Marina Sapir

This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model…

机器学习 · 计算机科学 2025-03-20 Seyed Mojtaba Mohasel , Hamidreza Koosha