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This paper presents a new methodology, called AFSSEN, to simultaneously select significant predictors and produce smooth estimates in a high-dimensional function-on-scalar linear model with a sub-Gaussian errors. Outcomes are assumed to lie…

Methodology · Statistics 2019-05-27 Ardalan Mirshani , Matthew Reimherr

Particle accelerators are time-varying systems whose components are perturbed by external disturbances. Tuning accelerators can be a time-consuming process involving manual adjustment of multiple components, such as RF cavities, to minimize…

Accelerator Physics · Physics 2024-08-09 Mahindra Rautela , Alan Williams , Alexander Scheinker

A frequency domain method is proposed to reduce the sidelobe level of a uniformly weighted uniform linear array in direction-of-arrival estimation. The development is based on the nonlinear method of spatially variant apodization originally…

Signal Processing · Electrical Eng. & Systems 2018-06-12 Erdal Epçaçan , Tolga Çiloğlu

Small area estimation (SAE) is a common endeavor and is used in a variety of disciplines. In low- and middle-income countries (LMICs), in which household surveys provide the most reliable and timely source of data, SAE is vital for…

Methodology · Statistics 2026-02-17 Jon Wakefield , Jitong Jiang , Yunhan Wu

We introduce a semiparametric approach for forecasting Value-at-Risk (VaR) and Expected Shortfall (ES) by modeling the conditional scale of financial returns, defined as the difference between two specified quantiles, via restricted…

Econometrics · Economics 2026-03-18 Xiaochun Liu , Richard Luger

We propose to utilize a variational autoencoder (VAE) for data-driven channel estimation. The underlying true and unknown channel distribution is modeled by the VAE as a conditional Gaussian distribution in a novel way, parameterized by the…

Signal Processing · Electrical Eng. & Systems 2023-04-07 Michael Baur , Benedikt Fesl , Michael Koller , Wolfgang Utschick

In this study, we propose a new method that is useful for estimating unknown parameter values of stochastic differential equation (SDE) models, based on probability density function (PDF) data measured from random dynamical systems. As our…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Katsutoshi Yoshida , Yoshikazu Yamanaka

Reconstruction and fast prediction of flow fields are important for the improvement of data center operations and energy savings. In this study, an artificial neural network (ANN) and variational autoencoder (VAE) composite model is…

Fluid Dynamics · Physics 2024-02-27 Gongyan Liu , Runze Li , Xiaozhou Zhou , Tianrui Sun , Yufei Zhang

We present a rigorous convergence analysis for cylindrical approximations of nonlinear functionals, functional derivatives, and functional differential equations (FDEs). The purpose of this analysis is twofold: first, we prove that…

Numerical Analysis · Mathematics 2021-03-17 Daniele Venturi , Alec Dektor

We present a method for the nonparametric estimation of the drift function of certain types of stochastic differential equations from the empirical density. It is based on a variational formulation of the Fokker-Planck equation. The…

Data Analysis, Statistics and Probability · Physics 2016-12-16 Philipp Batz , Andreas Ruttor , Manfred Opper

Vertebral fractures are a consequence of osteoporosis, with significant health implications for affected patients. Unfortunately, grading their severity using CT exams is hard and subjective, motivating automated grading methods. However,…

The fundamental multidimensional line spectral estimation problem is addressed utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) algorithm, multidimensional VALSE (MDVALSE) is…

Information Theory · Computer Science 2020-07-15 Qi Zhang , Jiang Zhu , Ning Zhang , Zhiwei Xu

Estimation of a conditional mean (linking a set of features to an outcome of interest) is a fundamental statistical task. While there is an appeal to flexible nonparametric procedures, effective estimation in many classical nonparametric…

Methodology · Statistics 2022-06-08 Tianyu Zhang , Noah Simon

Semiparametric accelerated failure time (AFT) models directly relate the predicted failure times to covariates and are a useful alternative to models that work on the hazard function or the survival function. For case-cohort data, much less…

Computation · Statistics 2022-12-15 Steven Chiou , Sangwook Kang , Jun Yan

In single-antenna fluid antenna systems (FASs), the transceiver dynamically selects the antenna port with the strongest instantaneous channel to enhance link reliability. However, deriving accurate yet tractable performance expressions…

Information Theory · Computer Science 2026-05-13 Rui Xu , Yinghui Ye , Xiaoli Chu , Guangyue Lu , Kai-Kit Wong , Chan-Byoung Chae

Functional linear regression is a useful extension of simple linear regression and has been investigated by many researchers. However, functional variable selection problems when multiple functional observations exist, which is the…

Methodology · Statistics 2011-08-22 Heng Lian

Ensemble techniques are powerful approaches that combine several weak learners to build a stronger one. As a meta-learning framework, ensemble techniques can easily be applied to many machine learning methods. Inspired by ensemble…

Machine Learning · Computer Science 2018-10-29 Hamideh Hajiabadi , Reza Monsefi , Hadi Sadoghi Yazdi

In this article we introduce the notion of Split Variational Autoencoder (SVAE), whose output $\hat{x}$ is obtained as a weighted sum $\sigma \odot \hat{x_1} + (1-\sigma) \odot \hat{x_2}$ of two generated images $\hat{x_1},\hat{x_2}$, and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Andrea Asperti , Laura Bugo , Daniele Filippini

Let $\boldsymbol{X}\in \mathbb{R}^p$ and $Y\in \mathbb{R}$. In this paper we propose an estimator of the conditional covariance matrix, $\mathrm{Cov}(\mathbb{E}[\boldsymbol{X}\vert Y])$, in an inverse regression setting. Based on the…

Statistics Theory · Mathematics 2014-08-21 Sébastien Da Veiga , Jean-Michel Loubes , Maikol Solís

Estimating density functionals of analog sources is an important problem in statistical signal processing and information theory. Traditionally, estimating these quantities requires either making parametric assumptions about the underlying…

Information Theory · Computer Science 2017-05-19 Alan Wisler , Kevin Moon , Visar Berisha