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Quantum kernel methods are a promising branch of quantum machine learning, yet their effectiveness on diverse, high-dimensional, real-world data remains unverified. Current research has largely been limited to low-dimensional or synthetic…

机器学习 · 计算机科学 2026-02-19 Jiang Yuhan , Matthew Otten

$C^*$-algebra-valued kernels could pave the way for the next generation of kernel machines. To further our fundamental understanding of learning with $C^*$-algebraic kernels, we propose a new class of positive definite kernels based on the…

机器学习 · 统计学 2025-03-11 Yuka Hashimoto , Ayoub Hafid , Masahiro Ikeda , Hachem Kadri

The Regression Tsetlin Machine (RTM) addresses the lack of interpretability impeding state-of-the-art nonlinear regression models. It does this by using conjunctive clauses in propositional logic to capture the underlying non-linear…

机器学习 · 计算机科学 2020-02-05 K. Darshana Abeyrathna , Ole-Christoffer Granmo , Morten Goodwin

Large language models (LLMs) and classical machine learning methods offer complementary strengths for predictive modeling, yet their fundamentally different representations and training paradigms hinder effective integration: LLMs rely on…

计算与语言 · 计算机科学 2026-04-21 Yunshuo Tian , Akayou Kitessa , Tanuja Chitnis , Yijun Zhao

Extreme learning machine (ELM) is a new single hidden layer feedback neural network. The weights of the input layer and the biases of neurons in hidden layer are randomly generated, the weights of the output layer can be analytically…

机器学习 · 计算机科学 2018-03-13 Lin Feng , Shuliang Xu , Feilong Wang , Shenglan Liu

Trans-dimensional random field language models (TRF LMs) have recently been introduced, where sentences are modeled as a collection of random fields. The TRF approach has been shown to have the advantages of being computationally more…

计算与语言 · 计算机科学 2017-09-20 Bin Wang , Zhijian Ou

Subspace clustering aims to group data points into multiple clusters of which each corresponds to one subspace. Most existing subspace clustering approaches assume that input data lie on linear subspaces. In practice, however, this…

计算机视觉与模式识别 · 计算机科学 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

Tree based ensembles such as Breiman's random forest (RF) and Gradient Boosted Trees (GBT) can be interpreted as implicit kernel generators, where the ensuing proximity matrix represents the data-driven tree ensemble kernel. Kernel…

机器学习 · 统计学 2020-12-22 Dai Feng , Richard Baumgartner

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

最优化与控制 · 数学 2025-07-15 Francesca Maggioni , Andrea Spinelli

Traditionally, kernel methods rely on the representer theorem which states that the solution to a learning problem is obtained as a linear combination of the data mapped into the reproducing kernel Hilbert space (RKHS). While elegant from…

机器学习 · 计算机科学 2021-08-30 Riikka Huusari , Sahely Bhadra , Cécile Capponi , Hachem Kadri , Juho Rousu

The success of any machine learning system depends critically on effective representations of data. In many cases, it is desirable that a representation scheme uncovers the parts-based, additive nature of the data. Of current representation…

机器学习 · 计算机科学 2017-08-21 Tu Dinh Nguyen , Truyen Tran , Dinh Phung , Svetha Venkatesh

Researchers often treat data-driven and theory-driven models as two disparate or even conflicting methods in travel behavior analysis. However, the two methods are highly complementary because data-driven methods are more predictive but…

机器学习 · 计算机科学 2020-10-23 Shenhao Wang , Baichuan Mo , Jinhua Zhao

In many problems of supervised tensor learning (STL), real world data such as face images or MRI scans are naturally represented as matrices, which are also called as second order tensors. Most existing classifiers based on tensor…

机器学习 · 统计学 2018-12-20 Yunfei Ye

Multi-task learning (MTL) is a learning paradigm that enables the simultaneous training of multiple communicating algorithms. Although MTL has been successfully applied to ether regression or classification tasks alone, incorporating mixed…

The Restricted Boltzmann Machine (RBM), an important tool used in machine learning in particular for unsupervized learning tasks, is investigated from the perspective of its spectral properties. Starting from empirical observations, we…

无序系统与神经网络 · 物理学 2018-01-17 Aurélien Decelle , Giancarlo Fissore , Cyril Furtlehner

The integration of quantum computing into classical machine learning architectures has emerged as a promising approach to enhance model efficiency and computational capacity. In this work, we introduce the Quantum Kernel-Based Long…

量子物理 · 物理学 2024-11-21 Yu-Chao Hsu , Tai-Yu Li , Kuan-Cheng Chen

Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the…

机器学习 · 计算机科学 2025-01-22 Kunpeng Xu , Lifei Chen , Shengrui Wang

It is well known that kernel ridge regression (KRR) is a popular nonparametric regression estimator. Nonetheless, in the presence of a large data set with size $n\gg 1,$ the KRR estimator has the drawback to require an intensive…

统计理论 · 数学 2023-01-19 Asma Ben Saber , Abderrazek Karoui

Kernel machines often yield superior predictive performance on various tasks; however, they suffer from severe computational challenges. In this paper, we show how to overcome the important challenge of speeding up kernel machines. In…

机器学习 · 计算机科学 2016-08-09 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon

Advances in high-throughput technologies have originated an ever-increasing availability of omics datasets. The integration of multiple heterogeneous data sources is currently an issue for biology and bioinformatics. Multiple kernel…