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Support vector machines (SVMs) are a well-established classifier effectively deployed in an array of classification tasks. In this work, we consider extending classical SVMs with quantum kernels and applying them to satellite data analysis.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Artur Miroszewski , Jakub Mielczarek , Grzegorz Czelusta , Filip Szczepanek , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

In this paper, we consider the binary classification problem via distributed Support-Vector-Machines (SVM), where the idea is to train a network of agents, with limited share of data, to cooperatively learn the SVM classifier for the global…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammadreza Doostmohammadian , Alireza Aghasi , Themistoklis Charalambous , Usman A. Khan

This paper aims at refined error analysis for binary classification using support vector machine (SVM) with Gaussian kernel and convex loss. Our first result shows that for some loss functions such as the truncated quadratic loss and…

Machine Learning · Computer Science 2017-10-06 Shao-Bo Lin , Jinshan Zeng , Xiangyu Chang

This paper contributes to interpretable machine learning via visual knowledge discovery in general line coordinates (GLC). The concepts of hyperblocks as interpretable dataset units and general line coordinates are combined to create a…

Machine Learning · Computer Science 2022-05-10 Charles Recaido , Boris Kovalerchuk

In the existing research of mammogram image classification, either clinical data or image features of a specific type is considered along with the supervised classifiers such as Neural Network (NN) and Support Vector Machine (SVM). This…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 S. Kavitha , K. K. Thyagharajan

The use of kernels for nonlinear prediction is widespread in machine learning. They have been popularized in support vector machines and used in kernel ridge regression, amongst others. Kernel methods share three aspects. First, instead of…

Machine Learning · Statistics 2025-08-25 Patrick J. F. Groenen , Michael Greenacre

We consider Benders decomposition for solving two-stage stochastic programs with complete recourse based on finite samples of the uncertain parameters. We define the Benders cuts binding at the final optimal solution or the ones…

Optimization and Control · Mathematics 2020-10-16 Huiwen Jia , Siqian Shen

Support vector machine (SVM) is a powerful machine learning algorithm to handle classification tasks. However, the classical SVM is developed for binary problems with the assumption of balanced datasets. Obviously, the multi-class…

Machine Learning · Computer Science 2025-02-21 Zhong-Liang Zhang , Jie Yang , Jian-Ming Ru , Xiao-Xi Zhao , Xing-Gang Luo

The reasonable definition of semantic interpretability presents the core challenge in explainable AI. This paper proposes a method to modify a traditional convolutional neural network (CNN) into an interpretable compositional CNN, in order…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Wen Shen , Zhihua Wei , Shikun Huang , Binbin Zhang , Jiaqi Fan , Ping Zhao , Quanshi Zhang

Prototype-based methods are of the particular interest for domain specialists and practitioners as they summarize a dataset by a small set of representatives. Therefore, in a classification setting, interpretability of the prototypes is as…

Machine Learning · Computer Science 2019-11-12 Babak Hosseini , Barbara Hammer

This paper presents a novel framework for designing support vector machines (SVMs), which does not impose restriction on the SVM kernel to be positive-definite and allows the user to define memory constraint in terms of fixed template…

Neural and Evolutionary Computing · Computer Science 2020-01-07 P. Kumar , A. R. Nair , O. Chatterjee , T. Paul , A. Ghosh , S. Chakrabartty , C. S. Thakur

Support Vector Machines (SVMs) are a relatively new supervised classification technique to the land cover mapping community. They have their roots in Statistical Learning Theory and have gained prominence because they are robust, accurate…

Machine Learning · Computer Science 2007-09-26 Gidudu Anthony , Hulley Greg , Marwala Tshilidzi

Automated analyses of the outcome of a simulation have been an important part of atomistic modeling since the early days, addressing the need of linking the behavior of individual atoms and the collective properties that are usually the…

Chemical Physics · Physics 2019-05-22 Michele Ceriotti

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

Any applied mathematical model contains parameters. The paper proposes to use kernel learning for the parametric analysis of the model. The approach consists in setting a distribution on the parameter space, obtaining a finite training…

Optimization and Control · Mathematics 2025-01-27 Vladimir Norkin , Alois Pichler

We consider the problem of operator-valued kernel learning and investigate the possibility of going beyond the well-known separable kernels. Borrowing tools and concepts from the field of quantum computing, such as partial trace and…

Machine Learning · Computer Science 2021-01-18 Riikka Huusari , Hachem Kadri

We describe an application of machine learning to the problem of predicting preterm birth. We conduct a secondary analysis on a clinical trial dataset collected by the National In- stitute of Child Health and Human Development (NICHD) while…

Support vector machines (SVMs) are a well-established classifier effectively deployed in an array of pattern recognition and classification tasks. In this work, we consider extending classic SVMs with quantum kernels and applying them to…

Computer Vision and Pattern Recognition · Computer Science 2023-07-17 Artur Miroszewski , Jakub Mielczarek , Filip Szczepanek , Grzegorz Czelusta , Bartosz Grabowski , Bertrand Le Saux , Jakub Nalepa

We show that unsupervised machine learning can be used to learn physical and chemical transformation pathways from the observational microscopic data, as demonstrated for atomically resolved images in Scanning Transmission Electron…

Training a Support Vector Machine (SVM) requires the solution of a quadratic programming problem (QP) whose computational complexity becomes prohibitively expensive for large scale datasets. Traditional optimization methods cannot be…

Machine Learning · Computer Science 2014-01-29 Emanuele Frandi , Ricardo Nanculef , Maria Grazia Gasparo , Stefano Lodi , Claudio Sartori