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Calibration or parameter identification is used with computational mechanics models related to observed data of the modeled process to find model parameters such that good similarity between model prediction and observation is achieved. We…

计算工程、金融与科学 · 计算机科学 2022-12-26 Harald Willmann , Jonas Nitzler , Sebastian Brandstaeter , Wolfgang A. Wall

Approximate Bayesian inference based on Laplace approximation and quadrature methods have become increasingly popular for their efficiency at fitting latent Gaussian models (LGM), which encompass popular models such as Bayesian generalized…

统计方法学 · 统计学 2024-03-20 Dayi Li , Ziang Zhang

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

机器学习 · 统计学 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel

The non-stationary nature of electroencephalography (EEG) signals makes an EEG-based brain-computer interface (BCI) a dynamic system, thus improving its performance is a challenging task. In addition, it is well-known that due to…

机器学习 · 计算机科学 2018-05-04 Haider Raza , Dheeraj Rathee , ShangMing Zhou , Hubert Cecotti , Girijesh Prasad

Previous electroencephalogram (EEG) emotion recognition relies on single-task learning, which may lead to overfitting and learned emotion features lacking generalization. In this paper, a graph-based multi-task self-supervised learning…

信号处理 · 电气工程与系统科学 2022-05-03 Yang Li , Ji Chen , Fu Li , Boxun Fu , Hao Wu , Youshuo Ji , Yijin Zhou , Yi Niu , Guangming Shi , Wenming Zheng

We consider a prior for nonparametric Bayesian estimation which uses finite random series with a random number of terms. The prior is constructed through distributions on the number of basis functions and the associated coefficients. We…

统计理论 · 数学 2015-02-10 Weining Shen , Subhashis Ghosal

Classification of high dimensional data finds wide-ranging applications. In many of these applications equipping the resulting classification with a measure of uncertainty may be as important as the classification itself. In this paper we…

机器学习 · 计算机科学 2018-02-12 Andrea L. Bertozzi , Xiyang Luo , Andrew M. Stuart , Konstantinos C. Zygalakis

Ultrasound images are commonly formed by sequential acquisition of beam-steered scan-lines. Minimizing the number of required scan-lines can significantly enhance frame rate, field of view, energy efficiency, and data transfer speeds.…

图像与视频处理 · 电气工程与系统科学 2025-01-08 Simon W. Penninga , Hans van Gorp , Ruud J. G. van Sloun

Several machine learning problems arising in natural language processing can be modeled as a sequence labeling problem. We provide Gaussian process models based on pseudo-likelihood approximation to perform sequence labeling. Gaussian…

机器学习 · 计算机科学 2016-09-22 P. K. Srijith , P. Balamurugan , Shirish Shevade

A fully Bayesian treatment of complicated predictive models (such as deep neural networks) would enable rigorous uncertainty quantification and the automation of higher-level tasks including model selection. However, the intractability of…

Established methods for unsupervised representation learning such as variational autoencoders produce none or poorly calibrated uncertainty estimates making it difficult to evaluate if learned representations are stable and reliable. In…

机器学习 · 计算机科学 2022-08-24 Marco Miani , Frederik Warburg , Pablo Moreno-Muñoz , Nicke Skafte Detlefsen , Søren Hauberg

We propose the Bayesian adaptive Lasso (BaLasso) for variable selection and coefficient estimation in linear regression. The BaLasso is adaptive to the signal level by adopting different shrinkage for different coefficients. Furthermore, we…

统计方法学 · 统计学 2010-09-14 Chenlei Leng , Minh Ngoc Tran , David Nott

Bayesian calibration of black-box computer models offers an established framework to obtain a posterior distribution over model parameters. Traditional Bayesian calibration involves the emulation of the computer model and an additive model…

机器学习 · 统计学 2018-10-30 Sébastien Marmin , Maurizio Filippone

This work presents a novel and effective method for fitting multidimensional ellipsoids to scattered data in the contamination of noise and outliers. We approach the problem as a Bayesian parameter estimate process and maximize the…

统计方法学 · 统计学 2024-07-30 Zhao Mingyang , Jia Xiaohong , Ma Lei , Shi Yuke , Jiang Jingen , Li Qizhai , Yan Dong-Ming , Huang Tiejun

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

统计方法学 · 统计学 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

统计方法学 · 统计学 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Gaussian graphical models are widely used to infer dependence structures. Bayesian methods are appealing to quantify uncertainty associated with structural learning, i.e., the plausibility of conditional independence statements given the…

统计方法学 · 统计学 2025-11-05 Deborah Sulem , Jack Jewson , David Rossell

Data availability has dramatically increased in recent years, driving model-based control methods to exploit learning techniques for improving the system description, and thus control performance. Two key factors that hinder the practical…

系统与控制 · 电气工程与系统科学 2022-11-22 Elena Arcari , Andrea Carron , Melanie N. Zeilinger

Surface electromyogram (sEMG), as a bioelectrical signal reflecting the activity of human muscles, has a wide range of applications in the control of prosthetics, human-computer interaction and so on. However, the existing recognition…

信号处理 · 电气工程与系统科学 2024-04-19 Xiupeng Qiao , Zekun Chen , Shili Liang

The Bayesian Mallows model is a flexible tool for analyzing data in the form of complete or partial rankings, and transitive or intransitive pairwise preferences. In many potential applications of preference learning, data arrive…

统计计算 · 统计学 2025-11-26 Øystein Sørensen , Anja Stein , Waldir Leoncio Netto , David S. Leslie