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We present a reinforcement learning algorithm for learning sparse non-parametric controllers in a Reproducing Kernel Hilbert Space. We improve the sample complexity of this approach by imposing a structure of the state-action function…

Robotics · Computer Science 2021-03-30 Ekaterina Tolstaya , Ethan Stump , Alec Koppel , Alejandro Ribeiro

The problem of sequentially maximizing the expectation of a function seeks to maximize the expected value of a function of interest without having direct control on its features. Instead, the distribution of such features depends on a given…

Machine Learning · Statistics 2022-10-26 Diego Martinez-Taboada , Dino Sejdinovic

For multi-valued functions---such as when the conditional distribution on targets given the inputs is multi-modal---standard regression approaches are not always desirable because they provide the conditional mean. Modal regression…

Machine Learning · Statistics 2020-10-30 Yangchen Pan , Ehsan Imani , Martha White , Amir-massoud Farahmand

Kernel adaptive filters, a class of adaptive nonlinear time-series models, are known by their ability to learn expressive autoregressive patterns from sequential data. However, for trivial monotonic signals, they struggle to perform…

Machine Learning · Statistics 2017-07-14 Felipe Tobar

The lack of sufficient flexibility is the key bottleneck of kernel-based learning that relies on manually designed, pre-given, and non-trainable kernels. To enhance kernel flexibility, this paper introduces the concept of…

Machine Learning · Computer Science 2023-10-10 Fan He , Mingzhen He , Lei Shi , Xiaolin Huang , Johan A. K. Suykens

Motivated by applications, we consider here new operator theoretic approaches to Conditional mean embeddings (CME). Our present results combine a spectral analysis-based optimization scheme with the use of kernels, stochastic processes, and…

Machine Learning · Computer Science 2023-05-16 Palle E. T. Jorgensen , Myung-Sin Song , James Tian

Deep nonparametric regression, characterized by the utilization of deep neural networks to learn target functions, has emerged as a focus of research attention in recent years. Despite considerable progress in understanding convergence…

Machine Learning · Statistics 2024-08-01 Yuling Jiao , Lican Kang , Jin Liu , Heng Peng , Heng Zuo

Sequential recommendation effectively models dynamic user interests but continues to face challenges related to data sparsity. While self-supervised learning has alleviated this issue to some extent, most existing methods focus exclusively…

Information Retrieval · Computer Science 2026-05-28 Ziqiang Cui , Xing Tang , Peiyang Liu , Xiaokun Zhang , Shiwei Li , Xiuqiang He , Chen Ma

We establish a general form of explicit, input-dependent, measure-valued warpings for learning nonstationary kernels. While stationary kernels are ubiquitous and simple to use, they struggle to adapt to functions that vary in smoothness…

Machine Learning · Computer Science 2020-10-12 Anthony Tompkins , Rafael Oliveira , Fabio Ramos

We suggest two nonparametric approaches, based on kernel methods and orthogonal series to estimating regression functions in the presence of instrumental variables. For the first time in this class of problems, we derive optimal convergence…

Statistics Theory · Mathematics 2007-06-13 Peter Hall , Joel L. Horowitz

The paper presents a novel learning-based sampling strategy that guarantees rejection-free sampling of the free space under both biased and approximately uniform conditions, leveraging multivariate kernel densities. Historical data from a…

Robotics · Computer Science 2025-05-15 Thomas T. Enevoldsen , Roberto Galeazzi

One central theme in machine learning is function estimation from sparse and noisy data. An example is supervised learning where the elements of the training set are couples, each containing an input location and an output response. In the…

Machine Learning · Computer Science 2023-10-05 Alberto Giaretta , Mauro Bisiacco , Gianluigi Pillonetto

Learning models of dynamical systems characterized by specific stability properties is of crucial importance in applications. Existing results mainly focus on linear systems or some limited classes of nonlinear systems and stability…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Matteo Scandella , Michelangelo Bin , Thomas Parisini

In this paper, we propose a new procedure for unconditional and conditional forecasting in agent-based models. The proposed algorithm is based on the application of amortized neural networks and consists of two steps. The first step…

Econometrics · Economics 2023-08-14 Denis Koshelev , Alexey Ponomarenko , Sergei Seleznev

Conditional inference on arbitrary subsets of variables is a core problem in probabilistic inference with important applications such as masked language modeling and image inpainting. In recent years, the family of Any-Order Autoregressive…

Machine Learning · Computer Science 2022-10-25 Andy Shih , Dorsa Sadigh , Stefano Ermon

We propose an adaptive scheme for distributed learning of nonlinear functions by a network of nodes. The proposed algorithm consists of a local adaptation stage utilizing multiple kernels with projections onto hyperslabs and a diffusion…

Signal Processing · Electrical Eng. & Systems 2018-09-05 Ban-Sok Shin , Masahiro Yukawa , Renato Luis Garrido Cavalcante , Armin Dekorsy

We propose a nonparametric quantile regression method using deep neural networks with a rectified linear unit penalty function to avoid quantile crossing. This penalty function is computationally feasible for enforcing non-crossing…

Machine Learning · Statistics 2022-10-20 Wenlu Tang , Guohao Shen , Yuanyuan Lin , Jian Huang

Kernels are efficient in representing nonlocal dependence and they are widely used to design operators between function spaces. Thus, learning kernels in operators from data is an inverse problem of general interest. Due to the nonlocal…

Machine Learning · Statistics 2024-10-21 Neil K. Chada , Quanjun Lang , Fei Lu , Xiong Wang

We consider the problem of reconstructing a function from a finite set of noise-corrupted samples. Two kernel algorithms are analyzed, namely kernel ridge regression and $\varepsilon$-support vector regression. By assuming the ground-truth…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Emilio T. Maddalena , Paul Scharnhorst , Colin N. Jones

Federated learning is a decentralized machine learning framework that enables collaborative model training without revealing raw data. Due to the diverse hardware and software limitations, a client may not always be available for the…

Machine Learning · Computer Science 2024-02-21 Lili Su , Ming Xiang , Jiaming Xu , Pengkun Yang
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