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Measuring and testing dependence between complex objects is of great importance in modern statistics. Most existing work relied on the distance between random variables, which inevitably required the moment conditions to guarantee the…

Methodology · Statistics 2023-04-19 Yilin Zhang , Songshan Yang

In real supervised learning scenarios, it is not uncommon that the training and test sample follow different probability distributions, thus rendering the necessity to correct the sampling bias. Focusing on a particular covariate shift…

Machine Learning · Computer Science 2012-06-22 Yaoliang Yu , Csaba Szepesvari

This paper develops detailed mathematical statistical theory of a new class of cross-validation techniques of local linear kernel hazards and their multiplicative bias corrections. The new class of cross-validation combines principles of…

Methodology · Statistics 2017-10-17 Maria Luz Gamiz , Maria Dolores Martinez-Miranda , Jens Perch Nielsen

The use of deep neural networks to make high risk decisions creates a need for global and local explanations so that users and experts have confidence in the modeling algorithms. We introduce a novel technique to find global and local…

Machine Learning · Computer Science 2019-08-15 Xochitl Watts , Freddy Lecue

Ordinary differential equations are widely-used in the field of systems biology and chemical engineering to model chemical reaction networks. Numerous techniques have been developed to estimate parameters like rate constants, initial…

Molecular Networks · Quantitative Biology 2012-07-06 Daniel Kaschek , Jens Timmer

In multivariate time series analysis, spectral coherence measures the linear dependency between two time series at different frequencies. However, real data applications often exhibit nonlinear dependency in the frequency domain.…

Methodology · Statistics 2024-03-01 Cristian F. Jiménez-Varón , Ying Sun , Ta-Hsin Li

Learning causal relationships is a fundamental problem in science. Anchor regression has been developed to address this problem for a large class of causal graphical models, though the relationships between the variables are assumed to be…

Machine Learning · Statistics 2022-11-01 Wenqi Shi , Wenkai Xu

Support vector machines and kernel methods are increasingly popular in genomics and computational biology, due to their good performance in real-world applications and strong modularity that makes them suitable to a wide range of problems,…

Quantitative Methods · Quantitative Biology 2007-05-23 Jean-Philippe Vert

Vine copulas are flexible dependence models using bivariate copulas as building blocks. If the parameters of the bivariate copulas in the vine copula depend on covariates, one obtains a conditional vine copula. We propose an extension for…

Methodology · Statistics 2024-06-21 David Jobst , Annette Möller , Jürgen Groß

We propose in this work an original estimator of the conditional intensity of a marker-dependent counting process, that is, a counting process with covariates. We use model selection methods and provide a non asymptotic bound for the risk…

Statistics Theory · Mathematics 2008-10-24 F. Comte , S. Gaïffas , A. Guilloux

We study explained variation under the additive hazards regression model for right-censored data. We consider different approaches for developing such a measure, and focus on one that estimates the proportion of variation in the failure…

Applications · Statistics 2020-09-02 Denise Rava , Ronghui Xu

The use of covariance kernels is ubiquitous in the field of spatial statistics. Kernels allow data to be mapped into high-dimensional feature spaces and can thus extend simple linear additive methods to nonlinear methods with higher order…

Machine Learning · Statistics 2017-11-16 Jean-Francois Ton , Seth Flaxman , Dino Sejdinovic , Samir Bhatt

This paper introduces the kernel mixture network, a new method for nonparametric estimation of conditional probability densities using neural networks. We model arbitrarily complex conditional densities as linear combinations of a family of…

Machine Learning · Statistics 2017-05-22 Luca Ambrogioni , Umut Güçlü , Marcel A. J. van Gerven , Eric Maris

We consider nonparametric prediction with multiple covariates, in particular categorical or functional predictors, or a mixture of both. The method proposed bases on an extension of the Nadaraya-Watson estimator where a kernel function is…

Methodology · Statistics 2022-08-05 Leonie Selk , Jan Gertheiss

Understanding the dose-response relation between a continuous treatment and the outcome for an individual can greatly drive decision-making, particularly in areas like personalized drug dosing and personalized healthcare interventions.…

Machine Learning · Computer Science 2026-01-07 Jarne Verhaeghe , Jef Jonkers , Sofie Van Hoecke

Many causal estimands are only partially identifiable since they depend on the unobservable joint distribution between potential outcomes. Stratification on pretreatment covariates can yield sharper bounds; however, unless the covariates…

Econometrics · Economics 2024-11-19 Wenlong Ji , Lihua Lei , Asher Spector

This paper introduces a data-adaptive non-parametric approach for the estimation of time-varying spectral densities from nonstationary time series. Time-varying spectral densities are commonly estimated by local kernel smoothing. The…

Computation · Statistics 2020-07-21 Anne van Delft , Michael Eichler

Variational inference is a popular method for estimating model parameters and conditional distributions in hierarchical and mixed models, which arise frequently in many settings in the health, social, and biological sciences. Variational…

Methodology · Statistics 2019-01-10 Ted Westling , Tyler H. McCormick

This paper studies large $N$ and large $T$ conditional quantile panel data models with interactive fixed effects. We propose a nuclear norm penalized estimator of the coefficients on the covariates and the low-rank matrix formed by the…

Econometrics · Economics 2021-03-17 Junlong Feng

Varying coefficient models are useful in applications where the effect of the covariate might depend on some other covariate such as time or location. Various applications of these models often give rise to case-specific prior distributions…

Methodology · Statistics 2019-12-05 Maria Franco-Villoria , Massimo Ventrucci , Håvard Rue
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