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The non-parametric estimation of average causal effects in observational studies often relies on controlling for confounding covariates through smoothing regression methods such as kernel, splines or local polynomial regression. Such…

Methodology · Statistics 2017-10-20 Jenny Häggström , Xavier de Luna

Radio-frequency dosimetry is an important process in human safety and for compliance of related products. Recently, computational human models generated from medical images have often been used for such assessment, especially to consider…

Machine Learning · Computer Science 2020-04-29 Essam A. Rashed , Yinliang Diao , Akimasa Hirata

In this work we consider (hierarchical, Lagrange) reduced basis approximation and a posteriori error estimation for elasticity problems in affinley parametrized geometries. The essential ingredients of the methodology are: a Galerkin…

Numerical Analysis · Mathematics 2018-01-23 Dinh Bao Phuong Huynh , Federico Pichi , Gianluigi Rozza

We formulate a class of angular Gaussian distributions that allows different degrees of isotropy for directional random variables of arbitrary dimension. Through a series of novel reparameterization, this distribution family is indexed by…

Methodology · Statistics 2022-12-13 Zehao Yu , Xianzheng Huang

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

We study the problem of parameter estimation for a univariate discretely observed ergodic diffusion process given as a solution to a stochastic differential equation. The estimation procedure we propose consists of two steps. In the first…

Statistics Theory · Mathematics 2018-04-17 Shota Gugushvili , Peter Spreij

As the statistical power of imaging surveys grows, it is crucial to account for all systematic uncertainties. This is normally done by constructing a model of these uncertainties and then marginalizing over the additional model parameters.…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Jaime Ruiz-Zapatero , Boryana Hadzhiyska , David Alonso , Pedro G. Ferreira , Carlos García-García , Arrykrishna Mootoovaloo

For many applications, an ensemble of base classifiers is an effective solution. The tuning of its parameters(number of classes, amount of data on which each classifier is to be trained on, etc.) requires G, the generalization error of a…

The effectiveness of non-parametric, kernel-based methods for function estimation comes at the price of high computational complexity, which hinders their applicability in adaptive, model-based control. Motivated by approximation techniques…

Statistics Theory · Mathematics 2023-03-17 Anna Scampicchio , Elena Arcari , Melanie N. Zeilinger

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

Information Theory · Computer Science 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that achieve exact coverage asymptotically. We develop a…

Machine Learning · Statistics 2018-07-03 John Duchi , Peter Glynn , Hongseok Namkoong

When determining the parameters of a parametric planar shape based on a single low-resolution image, common estimation paradigms lead to inaccurate parameter estimates. The reason behind poor estimation results is that standard estimation…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Wojciech Chojnacki , Zygmunt L. Szpak

This article introduces the Stochastic Texture Difference method for analyzing data at prescribed spatial and value scales. This method relies on constrained random walks around each pixel, describing how nearby image values typically…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Nicolas Brodu , Hussein Yahia

This article focuses on estimating distribution elements over a high-dimensional binary hypercube from multivariate binary data. A popular approach to this problem, optimizing Walsh basis coefficients, is made more interpretable by an…

Methodology · Statistics 2023-04-12 Arthur C. Campello

This article presents a neural network approach for estimating the covariance function of spatial Gaussian random fields defined in a portion of the Euclidean plane. Our proposal builds upon recent contributions, expanding from the purely…

Methodology · Statistics 2024-08-21 Alejandro Villazón , Alfredo Alegría , Xavier Emery

Estimation of Markov Random Field and covariance models from high-dimensional data represents a canonical problem that has received a lot of attention in the literature. A key assumption, widely employed, is that of {\em sparsity} of the…

Optimization and Control · Mathematics 2018-05-16 Davoud Ataee Tarzanagh , George Michailidis

Accurate detection of the centerline of a thick linear structure and good estimation of its thickness are challenging topics in many real-world applications such X-ray imaging, remote sensing and lane marking detection in road traffic.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Nafaa Nacereddine , Aicha Baya Goumeidane , Djemel Ziou

This paper introduces a general method to approximate the convolution of an arbitrary program with a Gaussian kernel. This process has the effect of smoothing out a program. Our compiler framework models intermediate values in the program…

Graphics · Computer Science 2017-06-06 Yuting Yang , Connelly Barnes

The ability to obtain reliable point estimates of model parameters is of crucial importance in many fields of physics. This is often a difficult task given that the observed data can have a very high number of dimensions. In order to…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-15 Janis Fluri , Aurelien Lucchi , Tomasz Kacprzak , Alexandre Refregier , Thomas Hofmann

Multivariate associated kernel estimators, which depend on both target point and bandwidth matrix, are appropriate for partially or totally bounded distributions and generalize the classical ones as Gaussian. Previous studies on…

Statistics Theory · Mathematics 2021-09-08 Célestin C. Kokonendji , Sobom M. Somé