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We compare two quantum approaches that use support vector machines for multi-class classification on a reduced Sloan Digital Sky Survey (SDSS) dataset: the quantum kernel-based QSVM and the Harrow-Hassidim-Lloyd least-squares SVM (HHL…

Quantum Physics · Physics 2025-09-15 Gabriela Pinheiro , Donovan Slabbert , Luis Kowada , Francesco Petruccione

We propose a novel support vector regression approach called e-Distance Weighted Support Vector Regression (e-DWSVR).e-DWSVR specifically addresses two challenging issues in support vector regression: first, the process of noisy data;…

Machine Learning · Computer Science 2016-10-28 Yan Wang , Ge Ou , Wei Pang , Lan Huang , George Macleod Coghill

Symbolic regression has recently gained traction in AI-driven scientific discovery, aiming to recover explicit closed-form expressions from data that reveal underlying physical laws. Despite recent advances, existing methods remain…

Methodology · Statistics 2026-03-02 Somjit Roy , Pritam Dey , Bani K. Mallick

The panel data regression models have gained increasing attention in different areas of research including but not limited to econometrics, environmental sciences, epidemiology, behavioral and social sciences. However, the presence of…

Methodology · Statistics 2020-11-24 Beste Hamiye Beyaztas , Soutir Bandyopadhyay

Self-supervised learning (SSL) has emerged as a crucial technique in image processing, encoding, and understanding, especially for developing today's vision foundation models that utilize large-scale datasets without annotations to enhance…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Chuang Niu , Wenjun Xia , Hongming Shan , Ge Wang

Effective data partitioning is known to be crucial in machine learning. Traditional cross-validation methods like K-Fold Cross-Validation (KFCV) enhance model robustness but often compromise generalisation assessment due to high…

Machine Learning · Computer Science 2025-08-05 Christopher Godwin Udomboso , Caston Sigauke , Ini Adinya

This paper studies the addition of linear constraints to the Support Vector Regression (SVR) when the kernel is linear. Adding those constraints into the problem allows to add prior knowledge on the estimator obtained, such as finding…

Optimization and Control · Mathematics 2019-11-07 Quentin Klopfenstein , Samuel Vaiter

Biomedical data are widely accepted in developing prediction models for identifying a specific tumor, drug discovery and classification of human cancers. However, previous studies usually focused on different classifiers, and overlook the…

Quantitative Methods · Quantitative Biology 2019-11-05 Shigang Liu , Jun Zhang , Yang Xiang , Wanlei Zhou , Dongxi Xiang

A widely-used tool for binary classification is the Support Vector Machine (SVM), a supervised learning technique that finds the "maximum margin" linear separator between the two classes. While SVMs have been well studied in the batch…

Machine Learning · Computer Science 2014-12-09 Vikram Nathan , Sharath Raghvendra

Large-scale problems in data science are often modeled with optimization, and the optimization model is usually solved with first-order methods that may converge at a sublinear rate. Therefore, it is of interest to terminate the…

Optimization and Control · Mathematics 2025-12-04 Matthew Hough , Stephen A. Vavasis

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

Machine Learning · Statistics 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

Disease classification is a crucial element of biomedical research. Recent studies have demonstrated that machine learning techniques, such as Support Vector Machine (SVM) modeling, produce similar or improved predictive capabilities in…

Machine Learning · Statistics 2017-08-02 Jessica M. Rudd

The transductive inference is an effective technique in the few-shot learning task, where query sets update prototypes to improve themselves. However, these methods optimize the model by considering only the classification scores of the…

Computer Vision and Pattern Recognition · Computer Science 2022-05-18 Minglei Yuan , Qian Xu , Chunhao Cai , Yin-Dong Zheng , Tao Wang , Tong Lu

The computational complexity of solving nonlinear support vector machine (SVM) is prohibitive on large-scale data. In particular, this issue becomes very sensitive when the data represents additional difficulties such as highly imbalanced…

Machine Learning · Computer Science 2019-04-09 E. Sadrfaridpour , T. Razzaghi , I. Safro

We show how, using linear-algebraic tools developed to prove Tverberg's theorem in combinatorial geometry, we can design new models of multi-class support vector machines (SVMs). These supervised learning protocols require fewer conditions…

Machine Learning · Computer Science 2024-04-26 Pablo Soberón

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

Machine Learning · Statistics 2014-10-14 Talayeh Razzaghi , Ilya Safro

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

We introduce multi-frequency vector diffusion maps (MFVDM), a new framework for organizing and analyzing high dimensional datasets. The new method is a mathematical and algorithmic generalization of vector diffusion maps (VDM) and other…

Machine Learning · Computer Science 2019-06-07 Yifeng Fan , Zhizhen Zhao

Dropout and other feature noising schemes have shown promising results in controlling over-fitting by artificially corrupting the training data. Though extensive theoretical and empirical studies have been performed for generalized linear…

Machine Learning · Computer Science 2015-08-11 Ning Chen , Jun Zhu , Jianfei Chen , Ting Chen

Traditional plane-based clustering methods measure the cost of within-cluster and between-cluster by quadratic, linear or some other unbounded functions, which may amplify the impact of cost. This letter introduces a ramp cost function into…

Machine Learning · Computer Science 2019-11-14 Zhen Wang , Xu Chen , Chun-Na Li , Yuan-Hai Shao
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