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Conventional supervised learning assumes a stable input-output relationship. However, this assumption fails in open-ended training settings where the input-output relationship depends on hidden contexts. In this work, we formulate a more…

Machine Learning · Computer Science 2025-02-14 Tianren Zhang , Yizhou Jiang , Feng Chen

Federated learning (FL) approaches for saddle point problems (SPP) have recently gained in popularity due to the critical role they play in machine learning (ML). Existing works mostly target smooth unconstrained objectives in Euclidean…

Machine Learning · Computer Science 2024-09-17 Site Bai , Brian Bullins

A supervised learning problem is to find a function in a hypothesis function space given values on isolated data points. Inspired by the frequency principle in neural networks, we propose a Fourier-domain variational formulation for…

Numerical Analysis · Mathematics 2020-12-08 Tao Luo , Zheng Ma , Zhiwei Wang , Zhi-Qin John Xu , Yaoyu Zhang

Federated Learning (FL) has emerged as a privacy-preserving paradigm for training machine learning models across distributed edge devices in the Internet of Things (IoT). By keeping data local and coordinating model training through a…

Machine Learning · Computer Science 2025-12-30 Ziru Niu , Hai Dong , A. K. Qin , Tao Gu , Pengcheng Zhang

In this paper the problem of recovering a regularized solution of the Fredholm integral equations of the first kind with Hermitian and square-integrable kernels, and with data corrupted by additive noise, is considered. Instead of using a…

Classical Analysis and ODEs · Mathematics 2007-05-23 Enrico De Micheli , Nicodemo Magnoli , Giovanni Alberto Viano

We introduce a semi-supervised learning estimator which tends to the first kernel principal component as the number of labelled points vanishes. Our approach is based on the notion of optimal target vector, which is defined as follows.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leonardo Angelini , Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Gaussian processes are flexible function approximators, with inductive biases controlled by a covariance kernel. Learning the kernel is the key to representation learning and strong predictive performance. In this paper, we develop…

Machine Learning · Computer Science 2019-10-31 Gregory W. Benton , Wesley J. Maddox , Jayson P. Salkey , Julio Albinati , Andrew Gordon Wilson

A novel physics-informed operator learning technique based on spectral methods is introduced to model the complex behavior of heterogeneous materials. The Lippmann-Schwinger operator in Fourier space is employed to construct physical…

Materials Science · Physics 2025-06-26 Ali Harandi , Hooman Danesh , Kevin Linka , Stefanie Reese , Shahed Rezaei

This paper proposes a data-driven approach for optimal power flow (OPF) based on the stacked extreme learning machine (SELM) framework. SELM has a fast training speed and does not require the time-consuming parameter tuning process compared…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Xingyu Lei , Zhifang Yang , Juan Yu , Junbo Zhao , Qian Gao , Hongxin Yu

Federated Learning (FL) has emerged as a potent framework for training models across distributed data sources while maintaining data privacy. Nevertheless, it faces challenges with limited high-quality labels and non-IID client data,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Taehyeon Kim , Eric Lin , Junu Lee , Christian Lau , Vaikkunth Mugunthan

We study the question: How can we select the right data for fine-tuning to a specific task? We call this data selection problem active fine-tuning and show that it is an instance of transductive active learning, a novel generalization of…

Machine Learning · Computer Science 2024-06-24 Jonas Hübotter , Bhavya Sukhija , Lenart Treven , Yarden As , Andreas Krause

Federated Semi-supervised Learning (FSSL) combines techniques from both fields of federated and semi-supervised learning to improve the accuracy and performance of models in a distributed environment by using a small fraction of labeled…

Machine Learning · Computer Science 2023-11-27 Zehui Dong , Wenjing Liu , Siyuan Liu , Xingzhi Chen

Recent years have witnessed a huge demand for artificial intelligence and machine learning applications in wireless edge networks to assist individuals with real-time services. Owing to the practical setting and privacy preservation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-08 Shuai Wang , Yanqing Xu , Yanyi Yuan , Tony Q. S. Quek

This paper presents a general framework to integrate prior knowledge in the form of logic constraints among a set of task functions into kernel machines. The logic propositions provide a partial representation of the environment, in which…

Machine Learning · Computer Science 2024-02-19 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

Machine Learning · Computer Science 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

Fredholm integral equations of the first kind are the prototypical example of ill-posed linear inverse problems. They model, among other things, reconstruction of distorted noisy observations and indirect density estimation and also appear…

Methodology · Statistics 2021-04-26 Francesca R Crucinio , Arnaud Doucet , Adam M Johansen

Efficient task scheduling is paramount in the Linux kernel, where the Completely Fair Scheduler (CFS) meticulously manages CPU resources to balance high utilization with interactive responsiveness. This research pioneers the use of deep…

Machine Learning · Computer Science 2025-05-22 Sampanna Yashwant Kahu

The kernel embedding algorithm is an important component for adapting kernel methods to large datasets. Since the algorithm consumes a major computation cost in the testing phase, we propose a novel teacher-learner framework of learning…

Machine Learning · Statistics 2017-12-08 Jianqiao Wangni , Jingwei Zhuo , Jun Zhu

We generalize the framework of Fredholm Neural Networks, to learn non-expansive integral operators arising in Fredholm Integral Equations (FIEs) of the second kind in arbitrary dimensions. We first present the proposed Fredholm Integral…

Numerical Analysis · Mathematics 2026-04-06 Kyriakos C. Georgiou , Constantinos Siettos , Athanasios N. Yannacopoulos

Federated Learning (FL) is an emerging distributed learning paradigm under privacy constraint. Data heterogeneity is one of the main challenges in FL, which results in slow convergence and degraded performance. Most existing approaches only…

Machine Learning · Computer Science 2023-10-27 Lin Zhang , Li Shen , Liang Ding , Dacheng Tao , Ling-Yu Duan