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We propose a novel approach to model selection for simulator-based statistical models. The proposed approach defines a mixture of candidate models, and then iteratively updates the weight coefficients for those models as well as the…

In this paper we investigate a link between state- space models and Gaussian Processes (GP) for time series modeling and forecasting. In particular, several widely used state- space models are transformed into continuous time form and…

机器学习 · 统计学 2016-10-27 Alexander Grigorievskiy , Juha Karhunen

Recommender systems are a critical component of e-commercewebsites. The rapid development of online social networking services provides an opportunity to explore social networks together with information used in traditional recommender…

社会与信息网络 · 计算机科学 2024-12-18 Xin Li , Mengyue Wang , T. -P. Liang

Multiple kernel learning (MKL) method is generally believed to perform better than single kernel method. However, some empirical studies show that this is not always true: the combination of multiple kernels may even yield an even worse…

机器学习 · 统计学 2018-06-21 Zhao Kang , Xiao Lu , Jinfeng Yi , Zenglin Xu

Gaussian Process Regression (GPR) is widely used in statistics and machine learning for prediction tasks requiring uncertainty measures. Its efficacy depends on the appropriate specification of the mean function, covariance kernel function,…

机器学习 · 计算机科学 2024-09-20 Shifan Zhao , Jiaying Lu , Ji Yang , Edmond Chow , Yuanzhe Xi

We introduce a simulation method for dynamic portfolio valuation and risk management building on machine learning with kernels. We learn the dynamic value process of a portfolio from a finite sample of its cumulative cash flow. The learned…

计算金融 · 定量金融 2021-05-28 Lotfi Boudabsa , Damir Filipovic

In this paper, we address the problem of reconstructing coverage maps from path-loss measurements in cellular networks. We propose and evaluate two kernel-based adaptive online algorithms as an alternative to typical offline methods. The…

网络与互联网体系结构 · 计算机科学 2019-10-11 Martin Kasparick , Renato L. G. Cavalcante , Stefan Valentin , Slawomir Stanczak , Masahiro Yukawa

Prior beliefs about the latent function to shape inductive biases can be incorporated into a Gaussian Process (GP) via the kernel. However, beyond kernel choices, the decision-making process of GP models remains poorly understood. In this…

机器学习 · 计算机科学 2023-06-07 Maximilian P. Niroomand , Luke Dicks , Edward O. Pyzer-Knapp , David J. Wales

We introduce a family of multilayer graph kernels and establish new links between graph convolutional neural networks and kernel methods. Our approach generalizes convolutional kernel networks to graph-structured data, by representing…

机器学习 · 统计学 2020-06-30 Dexiong Chen , Laurent Jacob , Julien Mairal

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

Evaluation and validation of complicated control systems are crucial to guarantee usability and safety. Usually, failure happens in some very rarely encountered situations, but once triggered, the consequence is disastrous. Accelerated…

机器学习 · 计算机科学 2017-10-03 Zhiyuan Huang , Yaohui Guo , Henry Lam , Ding Zhao

To overcome the computational bottleneck of various data perturbation procedures such as the bootstrap and cross validations, we propose the Generative Multiple-purpose Sampler (GMS), which constructs a generator function to produce…

统计方法学 · 统计学 2023-10-18 Minsuk Shin , Shijie Wang , Jun S Liu

We present a scalable Gaussian process model for identifying and characterizing smooth multidimensional changepoints, and automatically learning changes in expressive covariance structure. We use Random Kitchen Sink features to flexibly…

Kernel based methods have shown effective performance in many remote sensing classification tasks. However their performance significantly depend on its hyper-parameters. The conventional technique to estimate the parameter comes with high…

机器学习 · 统计学 2018-04-17 Bharath Bhushan Damodaran

Direct quantile regression involves estimating a given quantile of a response variable as a function of input variables. We present a new framework for direct quantile regression where a Gaussian process model is learned, minimising the…

统计方法学 · 统计学 2012-07-03 Alexis Boukouvalas , Remi Barillec , Dan Cornford

Automated tuning of compute kernels is a popular area of research, mainly focused on finding optimal kernel parameters for a problem with fixed input sizes. This approach is good for deploying machine learning models, where the network…

机器学习 · 计算机科学 2020-03-17 John Lawson

Gaussian Process regression is a kernel method successfully adopted in many real-life applications. Recently, there is a growing interest on extending this method to non-Euclidean input spaces, like the one considered in this paper,…

机器学习 · 计算机科学 2022-12-05 Antonio Candelieri , Andrea Ponti , Francesco Archetti

We investigate a series of learning kernel problems with polynomial combinations of base kernels, which will help us solve regression and classification problems. We also perform some numerical experiments of polynomial kernels with…

机器学习 · 计算机科学 2017-12-27 Chen Li , Luca Venturi , Ruitu Xu

With gates of a quantum computer designed to encode multi-dimensional vectors, projections of quantum computer states onto specific qubit states can produce kernels of reproducing kernel Hilbert spaces. We show that quantum kernels obtained…

量子物理 · 物理学 2024-06-19 Jun Dai , Roman V. Krems

In the univariate setting, using the kernel spectral representation is an appealing approach for generating stationary covariance functions. However, performing the same task for multiple-output Gaussian processes is substantially more…

机器学习 · 统计学 2021-03-15 Fergus Simpson , Alexis Boukouvalas , Vaclav Cadek , Elvijs Sarkans , Nicolas Durrande