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A mathematical model for variable selection in functional regression models with scalar response is proposed. By "variable selection" we mean a procedure to replace the whole trajectories of the functional explanatory variables with their…

Methodology · Statistics 2017-04-21 José R. Berrendero , Beatriz Bueno-Larraz , Antonio Cuevas

Quantum machine learning is an important application of quantum computing in the era of noisy intermediate-scale quantum devices. Domain adaptation is an effective method for addressing the distribution discrepancy problem between the…

Quantum Physics · Physics 2023-12-18 Chunhui Wu , Junhao Pei , Yihua Wu , Shengmei Zhao

Learning a kernel matrix from relative comparison human feedback is an important problem with applications in collaborative filtering, object retrieval, and search. For learning a kernel over a large number of objects, existing methods face…

Machine Learning · Computer Science 2015-01-13 Eric Heim , Matthew Berger , Lee M. Seversky , Milos Hauskrecht

Recently, deep learning has achieved promising performance in the change detection task. However, the deep models are task-specific and data set bias often exists, thus it is difficult to transfer a network trained on one multi-temporal…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Hongruixuan Chen , Chen Wu , Bo Du , Liangepei Zhang

A kernel-based approach for the learning of the solution operator of general nonhomogeneous partial differential equations (PDEs) is proposed. The method incorporates physical priors, typically encoded through the PDE operator, into a…

Numerical Analysis · Mathematics 2026-05-12 Jianyu Hu , Juan-Pablo Ortega

Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS). In this paper, we propose a novel data analysis framework with…

Machine Learning · Statistics 2021-12-22 Yuka Hashimoto , Isao Ishikawa , Masahiro Ikeda , Fuyuta Komura , Takeshi Katsura , Yoshinobu Kawahara

Kernel Adaptive Filtering (KAF) are mathematically principled methods which search for a function in a Reproducing Kernel Hilbert Space. While they work well for tasks such as time series prediction and system identification they are…

Machine Learning · Computer Science 2023-12-20 Benjamin Colburn , Jose C. Principe , Luis G. Sanchez Giraldo

Decentralized federated learning (DFL) is a collaborative machine learning framework for training a model across participants without a central server or raw data exchange. DFL faces challenges due to statistical heterogeneity, as…

Machine Learning · Computer Science 2025-06-16 Gabriel Thompson , Kai Yue , Chau-Wai Wong , Huaiyu Dai

We propose a framework for transfer learning of discount curves across different fixed-income product classes. Motivated by challenges in estimating discount curves from sparse or noisy data, we extend kernel ridge regression (KR) to a…

Machine Learning · Statistics 2026-01-14 Nicolas Camenzind , Damir Filipovic

Motivated by applications to the study of stochastic processes, we introduce a new analysis of positive definite kernels $K$, their reproducing kernel Hilbert spaces (RKHS), and an associated family of feature spaces that may be chosen in…

Functional Analysis · Mathematics 2017-07-27 Palle Jorgensen , Feng Tian

The study of Neural Tangent Kernels (NTKs) has provided much needed insight into convergence and generalization properties of neural networks in the over-parametrized (wide) limit by approximating the network using a first-order Taylor…

Machine Learning · Statistics 2023-02-02 Alistair Shilton , Sunil Gupta , Santu Rana , Svetha Venkatesh

We propose an approach for learning probability distributions as differentiable quantum circuits (DQC) that enable efficient quantum generative modelling (QGM) and synthetic data generation. Contrary to existing QGM approaches, we perform…

Quantum Physics · Physics 2024-11-15 Oleksandr Kyriienko , Annie E. Paine , Vincent E. Elfving

The performance of reproducing kernel Hilbert space-based methods is known to be sensitive to the choice of the reproducing kernel. Choosing an adequate reproducing kernel can be challenging and computationally demanding, especially in…

Machine Learning · Computer Science 2023-11-07 Emilio Ruiz-Moreno , Baltasar Beferull-Lozano

Learning and generalizing to novel concepts with few samples (Few-Shot Learning) is still an essential challenge to real-world applications. A principle way of achieving few-shot learning is to realize a model that can rapidly adapt to the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Rongkai Ma , Pengfei Fang , Gil Avraham , Yan Zuo , Tianyu Zhu , Tom Drummond , Mehrtash Harandi

We present a novel approach to learn a kernel-based regression function. It is based on the useof conical combinations of data-based parameterized kernels and on a new stochastic convex optimization procedure of which we establish…

Machine Learning · Computer Science 2012-01-13 Pierre Machart , Thomas Peel , Liva Ralaivola , Sandrine Anthoine , Hervé Glotin

Deep reinforcement learning for high dimensional, hierarchical control tasks usually requires the use of complex neural networks as functional approximators, which can lead to inefficiency, instability and even divergence in the training…

Machine Learning · Computer Science 2019-11-26 Yuguang Yang

This paper presents a Consensus-based Distributed Quantum Kernel Learning (CDQKL) framework aimed at improving speech recognition through distributed quantum computing.CDQKL addresses the challenges of scalability and data privacy in…

Quantum Physics · Physics 2024-09-10 Kuan-Cheng Chen , Wenxuan Ma , Xiaotian Xu

Deep kernel learning combines the non-parametric flexibility of kernel methods with the inductive biases of deep learning architectures. We propose a novel deep kernel learning model and stochastic variational inference procedure which…

Machine Learning · Statistics 2016-11-03 Andrew Gordon Wilson , Zhiting Hu , Ruslan Salakhutdinov , Eric P. Xing

Additive models play an important role in semiparametric statistics. This paper gives learning rates for regularized kernel based methods for additive models. These learning rates compare favourably in particular in high dimensions to…

Machine Learning · Statistics 2014-05-15 Andreas Christmann , Ding-Xuan Zhou

Kernels are powerful and versatile tools in machine learning and statistics. Although the notion of universal kernels and characteristic kernels has been studied, kernel selection still greatly influences the empirical performance. While…

Machine Learning · Statistics 2019-02-28 Chun-Liang Li , Wei-Cheng Chang , Youssef Mroueh , Yiming Yang , Barnabás Póczos
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