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This paper presents a unified treatment of Gaussian process models that extends to data from the exponential dispersion family and to survival data. Our specific interest is in the analysis of data sets with predictors that have an a priori…

Methodology · Statistics 2011-06-17 Terrance Savitsky , Marina Vannucci , Naijun Sha

Gaussian process-based latent variable models are flexible and theoretically grounded tools for nonlinear dimension reduction, but generalizing to non-Gaussian data likelihoods within this nonlinear framework is statistically challenging.…

Machine Learning · Statistics 2020-06-22 Gregory W. Gundersen , Michael Minyi Zhang , Barbara E. Engelhardt

We propose a computationally intensive method, the random lasso method, for variable selection in linear models. The method consists of two major steps. In step 1, the lasso method is applied to many bootstrap samples, each using a set of…

Applications · Statistics 2011-04-19 Sijian Wang , Bin Nan , Saharon Rosset , Ji Zhu

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

Machine Learning · Computer Science 2014-08-12 Ricardo Silva , Robert B. Gramacy

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

Machine Learning · Computer Science 2010-03-15 Ricardo Silva , Robert B. Gramacy

In the field of big data analytics, the search for efficient subdata selection methods that enable robust statistical inferences with minimal computational resources is of high importance. A procedure prior to subdata selection could…

Methodology · Statistics 2024-11-12 Vasilis Chasiotis , Lin Wang , Dimitris Karlis

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

Methodology · Statistics 2022-01-27 Christos Merkatas , Simo Särkkä

Spike-and-slab and horseshoe regression are arguably the most popular Bayesian variable selection approaches for linear regression models. However, their performance can deteriorate if outliers and heteroskedasticity are present in the…

Methodology · Statistics 2022-10-20 Alberto Cabezas , Marco Battiston , Christopher Nemeth

In linear models it is common to have situations where several regression coefficients are zero. In these situations a common tool to perform regression is a variable selection operator. One of the most common such operators is the LASSO…

Methodology · Statistics 2019-04-12 Nicolás E. Kuschinski , J. Andrés Christen

We introduce a scalable Bayesian preference learning method for identifying convincing arguments in the absence of gold-standard rat- ings or rankings. In contrast to previous work, we avoid the need for separate methods to perform quality…

Computation and Language · Computer Science 2018-06-08 Edwin Simpson , Iryna Gurevych

Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter. Given a set of potential subsets produced by a regularization algorithm, a consistent model…

Methodology · Statistics 2014-02-26 Minh-Ngoc Tran

The presence of irrelevant features in the input dataset tends to reduce the interpretability and predictive quality of machine learning models. Therefore, the development of feature selection methods to recognize irrelevant features is a…

Machine Learning · Statistics 2020-10-13 Federico Amato , Fabian Guignard , Philippe Jacquet , Mikhail Kanevski

We present a stepwise approach to estimate high dimensional Gaussian graphical models. We exploit the relation between the partial correlation coefficients and the distribution of the prediction errors, and parametrize the model in terms of…

Methodology · Statistics 2018-08-21 Ginette Lafit , Francisco J. Nogales , Marcelo Ruiz , Ruben H. Zamar

While variable selection is essential to optimize the learning complexity by prioritizing features, automating the selection process is preferred since it requires laborious efforts with intensive analysis otherwise. However, it is not an…

Machine Learning · Computer Science 2019-10-29 Makiya Nakashima , Alex Sim , Youngsoo Kim , Jonghyun Kim , Jinoh Kim

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

One of the focus areas of modern scientific research is to reveal mysteries related to genes and their interactions. The dynamic interactions between genes can be encoded into a gene regulatory network (GRN), which can be used to gain…

Optimization and Control · Mathematics 2020-07-16 Atte Aalto , Lauri Viitasaari , Pauliina Ilmonen , Laurent Mombaerts , Jorge Goncalves

Parameter estimation is a major challenge in computational modeling of biological processes. This is especially the case in image-based modeling where the inherently quantitative output of the model is measured against image data, which is…

Quantitative Methods · Quantitative Biology 2018-07-27 Diana Barac , Michael D. Multerer , Dagmar Iber

In engineering design, one often wishes to calculate the probability that the performance of a system is satisfactory under uncertainty. State of the art algorithms exist to solve this problem using active learning with Gaussian process…

Machine Learning · Computer Science 2022-11-03 Jonathan Sadeghi , Romain Mueller , John Redford

We introduce a novel way to combine boosting with Gaussian process and mixed effects models. This allows for relaxing, first, the zero or linearity assumption for the prior mean function in Gaussian process and grouped random effects models…

Machine Learning · Computer Science 2024-11-06 Fabio Sigrist

The test bench time needed for model-based calibration can be reduced with active learning methods for test design. This paper presents an improved strategy for active output selection. This is the task of learning multiple models in the…

Machine Learning · Computer Science 2021-01-12 Adrian Prochaska , Julien Pillas , Bernard Bäker
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