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Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

Machine learning and quantum computing are being progressively explored to shed light on possible computational approaches to deal with hitherto unsolvable problems. Classical methods for machine learning are ubiquitous in pattern…

Quantum Physics · Physics 2024-07-10 Papri Saha

Machine learning and quantum computing are two technologies that are causing a paradigm shift in the performance and behavior of certain algorithms, achieving previously unattainable results. Machine learning (kernel classification) has…

Quantum Physics · Physics 2020-04-28 Siddharth Sharma

This work presents a family of parsimonious Gaussian process models which allow to build, from a finite sample, a model-based classifier in an infinite dimensional space. The proposed parsimonious models are obtained by constraining the…

Methodology · Statistics 2012-06-18 Charles Bouveyron , Stéphane Girard , Mathieu Fauvel

This paper presents a novel deep learning architecture to classify structured objects in datasets with a large number of visually similar categories. We model sequences of images as linear-chain CRFs, and jointly learn the parameters from…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Eran Goldman , Jacob Goldberger

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

Kernel methods are widespread in machine learning; however, they are limited by the quadratic complexity of the construction, application, and storage of kernel matrices. Low-rank matrix approximation algorithms are widely used to address…

Machine Learning · Statistics 2021-05-05 Ruoxi Wang , Yingzhou Li , Michael W. Mahoney , Eric Darve

This article proposes a novel density estimation based algorithm for carrying out supervised machine learning. The proposed algorithm features O(n) time complexity for generating a classifier, where n is the number of sampling instances in…

Machine Learning · Statistics 2007-11-06 Yen-Jen Oyang , Chien-Yu Chen , Darby Tien-Hao Chang , Chih-Peng Wu

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

Kernelization algorithms in the context of Parameterized Complexity are often based on a combination of reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation…

Data Structures and Algorithms · Computer Science 2014-09-15 Faisal N. Abu-Khzam , Cristina Bazgan , Morgan Chopin , Henning Fernau

Kernel approximation via nonlinear random feature maps is widely used in speeding up kernel machines. There are two main challenges for the conventional kernel approximation methods. First, before performing kernel approximation, a good…

Machine Learning · Statistics 2015-03-16 Felix X. Yu , Sanjiv Kumar , Henry Rowley , Shih-Fu Chang

The behavior of neural networks still remains opaque, and a recently widely noted phenomenon is that networks often achieve similar performance when initialized with different random parameters. This phenomenon has attracted significant…

Machine Learning · Computer Science 2023-11-28 Yiting Chen , Zhanpeng Zhou , Junchi Yan

In this paper, we present a kernel-based learning approach for the 2018 Complex Word Identification (CWI) Shared Task. Our approach is based on combining multiple low-level features, such as character n-grams, with high-level semantic…

Computation and Language · Computer Science 2018-05-23 Andrei M. Butnaru , Radu Tudor Ionescu

Correlation filters are special classifiers designed for shift-invariant object recognition, which are robust to pattern distortions. The recent literature shows that combining a set of sub-filters trained based on a single or a small group…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Baochang Zhang , Shangzhen Luan , Chen Chen , Jungong Han , Wei Wang , Alessandro Perina , Ling Shao

The quantification of uncertainty in prediction models is crucial for reliable decision-making, yet remains a significant challenge. Interval time series forecasting offers a principled solution to this problem by providing prediction…

Machine Learning · Computer Science 2026-04-20 Miaoxuan Zhu , Yi Yu , Yuyang Li , Wei Li , Guangcan Liu

Many signal processing and machine learning applications are built from evaluating a kernel on pairs of signals, e.g. to assess the similarity of an incoming query to a database of known signals. This nonlinear evaluation can be simplified…

Signal Processing · Electrical Eng. & Systems 2021-03-16 Vincent Schellekens , Laurent Jacques

Kernel methods have a wide spectrum of applications in machine learning. Recently, a link between quantum computing and kernel theory has been formally established, opening up opportunities for quantum techniques to enhance various existing…

Quantum Physics · Physics 2020-03-25 Carsten Blank , Daniel K. Park , June-Koo Kevin Rhee , Francesco Petruccione

Support Vector Machines (SVMs) are a cornerstone of supervised learning, widely used for data classification. A central component of their success lies in kernel functions, which enable efficient computation of inner products in…

Quantum Physics · Physics 2025-09-16 A. Mandilara , A. D. Papadopoulos , D. Syvridis

Improving the performance of classifiers is the realm of feature mapping, prototype selection, and kernel function transformations; these techniques aim for reducing the complexity, and also, improving the accuracy of models. In particular,…

Machine Learning · Computer Science 2019-10-04 Jose Ortiz-Bejar , Eric S. Tellez , Mario Graff

Learning with kernels is an important concept in machine learning. Standard approaches for kernel methods often use predefined kernels that require careful selection of hyperparameters. To mitigate this burden, we propose in this paper a…

Machine Learning · Computer Science 2020-06-26 Yufan Zhou , Changyou Chen , Jinhui Xu
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