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Related papers: Adaptive Kernel Learning in Heterogeneous Networks

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We consider several estimation and learning problems that networked agents face when making decisions given their uncertainty about an unknown variable. Our methods are designed to efficiently deal with heterogeneity in both size and…

Applications · Statistics 2016-11-11 M. Amin Rahimian , Ali Jadbabaie

We present a data-driven method for computing approximate forward reachable sets using separating kernels in a reproducing kernel Hilbert space. We frame the problem as a support estimation problem, and learn a classifier of the support as…

Optimization and Control · Mathematics 2020-11-20 Adam J. Thorpe , Kendric R. Ortiz , Meeko M. K. Oishi

This paper introduces a solution to the problem of selecting dynamically (online) the ``optimal'' p-norm to combat outliers in linear adaptive filtering without any knowledge on the probability density function of the outliers. The proposed…

Machine Learning · Computer Science 2022-10-24 Yuki Akiyama , Minh Vu , Konstantinos Slavakis

Kernel methods are powerful tools to capture nonlinear patterns behind data. They implicitly learn high (even infinite) dimensional nonlinear features in the Reproducing Kernel Hilbert Space (RKHS) while making the computation tractable by…

Machine Learning · Statistics 2017-11-28 Shuai Zhang , Jianxin Li , Pengtao Xie , Yingchun Zhang , Minglai Shao , Haoyi Zhou , Mengyi Yan

Random feature approximation is arguably one of the most widely used techniques for kernel methods in large-scale learning algorithms. In this work, we analyze the generalization properties of random feature methods, extending previous…

Machine Learning · Statistics 2025-06-23 Mike Nguyen , Nicole Mücke

Motivated by the need for decentralized learning, this paper aims at designing a distributed algorithm for solving nonconvex problems with general linear constraints over a multi-agent network. In the considered problem, each agent owns…

Optimization and Control · Mathematics 2022-06-23 Jiawei Zhang , Songyang Ge , Tsung-Hui Chang , Zhi-Quan Luo

Hierarchical Reinforcement Learning (HRL) allows interactive agents to decompose complex problems into a hierarchy of sub-tasks. Higher-level tasks can invoke the solutions of lower-level tasks as if they were primitive actions. In this…

This paper investigates the convergence properties of spectral algorithms -- a class of regularization methods originating from inverse problems -- under covariate shift. In this setting, the marginal distributions of inputs differ between…

Machine Learning · Statistics 2025-09-08 Ren-Rui Liu , Zheng-Chu Guo

Statistical heterogeneity of clients' local data is an important characteristic in federated learning, motivating personalized algorithms tailored to the local data statistics. Though there has been a plethora of algorithms proposed for…

Machine Learning · Computer Science 2025-01-27 Kaan Ozkara , Bruce Huang , Ruida Zhou , Suhas Diggavi

Hierarchical Reinforcement Learning (HRL) agents often struggle with long-horizon visual planning due to their reliance on error-prone distance metrics. We propose Discrete Hierarchical Planning (DHP), a method that replaces continuous…

Robotics · Computer Science 2025-12-22 Shashank Sharma , Janina Hoffmann , Vinay Namboodiri

In this article, we develop a kernel-based framework for constructing dynamic, pathdependent trading strategies under a mean-variance optimisation criterion. Building on the theoretical results of (Muca Cirone and Salvi, 2025), we…

Trading and Market Microstructure · Quantitative Finance 2025-07-16 Owen Futter , Nicola Muca Cirone , Blanka Horvath

We propose a data-driven framework to learn interaction kernels in stochastic multi-agent systems. Our approach aims at identifying the functional form of nonlocal interaction and diffusion terms directly from trajectory data, without any a…

Machine Learning · Computer Science 2026-03-18 Giacomo Albi , Alessandro Alla , Elisa Calzola

We investigate a Federated Reinforcement Learning with Environment Heterogeneity (FRL-EH) framework, where local environments exhibit statistical heterogeneity. Within this framework, agents collaboratively learn a global policy by…

Machine Learning · Computer Science 2025-07-22 Ukjo Hwang , Songnam Hong

The existing research on spectral algorithms, applied within a Reproducing Kernel Hilbert Space (RKHS), has primarily focused on general kernel functions, often neglecting the inherent structure of the input feature space. Our paper…

Machine Learning · Statistics 2024-03-08 Weichun Xia , Lei Shi

Sequential hypothesis testing is a desirable decision making strategy in any time sensitive scenario. Compared with fixed sample-size testing, sequential testing is capable of achieving identical probability of error requirements using less…

Machine Learning · Statistics 2017-11-17 Diyan Teng , Emre Ertin

Kernel-based methods offer a powerful and flexible mathematical framework for addressing histopolation problems. In histopolation, the available input data does not consist of pointwise function samples but of averages taken over intervals…

Numerical Analysis · Mathematics 2026-01-14 Ludovico Bruni Bruno , Giacomo Cappellazzo , Wolfgang Erb , Mohammad Karimnejad Esfahani

Generative adversarial networks (GANs) are designed with the help of min-max optimization problems that are solved with stochastic gradient-type algorithms which are known to be non-robust. In this work we revisit a non-adversarial method…

Machine Learning · Computer Science 2018-11-26 Kalliopi Basioti , George V. Moustakides , Emmanouil Z. Psarakis

Federated learning forms a global model using data collected from a federation agent. This type of learning has two main challenges: the agents generally don't collect data over the same distribution, and the agents have limited…

Signal Processing · Electrical Eng. & Systems 2020-09-09 Maria Peifer , Alejandro Ribeiro

Kernel-based methods exhibit well-documented performance in various nonlinear learning tasks. Most of them rely on a preselected kernel, whose prudent choice presumes task-specific prior information. Especially when the latter is not…

Machine Learning · Statistics 2018-12-31 Yanning Shen , Tianyi Chen , Georgios B. Giannakis

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare
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