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We present a new approach to learn compressible representations in deep architectures with an end-to-end training strategy. Our method is based on a soft (continuous) relaxation of quantization and entropy, which we anneal to their discrete…

For their ability to capture non-linearities in the data and to scale to large training sets, local Support Vector Machines (SVMs) have received a special attention during the past decade. In this paper, we introduce a new local SVM method,…

机器学习 · 统计学 2017-04-04 Valentina Zantedeschi , Rémi Emonet , Marc Sebban

We consider several classes of highly important semidefinite optimization problems that involve both a convex objective function (smooth or nonsmooth) and additional linear or nonlinear smooth and convex constraints, which are ubiquitous in…

最优化与控制 · 数学 2025-04-08 Dan Garber , Atara Kaplan

We consider a suboptimal solution path algorithm for the Support Vector Machine. The solution path algorithm is an effective tool for solving a sequence of a parametrized optimization problems in machine learning. The path of the solutions…

机器学习 · 计算机科学 2011-05-04 Masayuki Karasuyama , Ichiro Takeuchi

The linear Support Vector Machine (SVM) is a classic classification technique in machine learning. Motivated by applications in modern high dimensional statistics, we consider penalized SVM problems involving the minimization of a…

机器学习 · 统计学 2021-08-31 Antoine Dedieu , Rahul Mazumder , Haoyue Wang

The previous support vector machine(SVM) including $0/1$ loss SVM, hinge loss SVM, ramp loss SVM, truncated pinball loss SVM, and others, overlooked the degree of penalty for the correctly classified samples within the margin. This…

机器学习 · 计算机科学 2024-03-26 Yan Li , Liping Zhang

We introduce a new nearest-prototype classifier, the prototype vector machine (PVM). It arises from a combinatorial optimization problem which we cast as a variant of the set cover problem. We propose two algorithms for approximating its…

机器学习 · 统计学 2009-08-18 Jacob Bien , Robert Tibshirani

Features play a crucial role in computer vision. Initially designed to detect salient elements by means of handcrafted algorithms, features are now often learned by different layers in Convolutional Neural Networks (CNNs). This paper…

计算机视觉与模式识别 · 计算机科学 2021-11-18 Loris Nanni , Stefano Ghidoni , Sheryl Brahnam

We address the problem of model selection for Support Vector Machine (SVM) classification. For fixed functional form of the kernel, model selection amounts to tuning kernel parameters and the slack penalty coefficient $C$. We begin by…

无序系统与神经网络 · 物理学 2007-05-23 Carl Gold , Peter Sollich

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

There has been growing interest in extending traditional vector-based machine learning techniques to their tensor forms. An example is the support tensor machine (STM) that utilizes a rank-one tensor to capture the data structure, thereby…

机器学习 · 计算机科学 2018-04-18 Cong Chen , Kim Batselier , Ching-Yun Ko , Ngai Wong

When neural circuits learn to perform a task, it is often the case that there are many sets of synaptic connections that are consistent with the task. However, only a small number of possible solutions are robust to noise in the input and…

神经元与认知 · 定量生物学 2022-05-31 Ran Rubin , Haim Sompolinsky

A novel kernel-based support vector machine (SVM) for graph classification is proposed. The SVM feature space mapping consists of a sequence of graph convolutional layers, which generates a vector space representation for each vertex,…

机器学习 · 计算机科学 2020-08-05 Padraig Corcoran

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

统计方法学 · 统计学 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

Machine Learning is an important sub-field of the Artificial Intelligence and it has been become a very critical task to train Machine Learning techniques via effective method or techniques. Recently, researchers try to use alternative…

神经与进化计算 · 计算机科学 2019-02-05 M. Hanefi Calp

The work provides an exhaustive comparison of some representative families of topology optimization methods for 3D structural optimization, such as the Solid Isotropic Material with Penalization (SIMP), the Level-set, the Bidirectional…

计算工程、金融与科学 · 计算机科学 2021-08-09 Daniel Yago , Juan Cante , Oriol Lloberas-Valls , Javier Oliver

This work introduces the one-class slab SVM (OCSSVM), a one-class classifier that aims at improving the performance of the one-class SVM. The proposed strategy reduces the false positive rate and increases the accuracy of detecting…

计算机视觉与模式识别 · 计算机科学 2016-08-04 Victor Fragoso , Walter Scheirer , Joao Hespanha , Matthew Turk

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

机器学习 · 计算机科学 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

The probabilistic classification vector machine (PCVM) synthesizes the advantages of both the support vector machine and the relevant vector machine, delivering a sparse Bayesian solution to classification problems. However, the PCVM is…

机器学习 · 计算机科学 2020-06-30 Shengfei Lyu , Xing Tian , Yang Li , Bingbing Jiang , Huanhuan Chen

The support vector machines (SVM) algorithm is a popular classification technique in data mining and machine learning. In this paper, we propose a distributed SVM algorithm and demonstrate its use in a number of applications. The algorithm…

机器学习 · 计算机科学 2019-05-02 Taiping He , Tao Wang , Ralph Abbey , Joshua Griffin