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In standard clinical within-subject analyses of event-related fMRI data, two steps are usually performed separately: detection of brain activity and estimation of the hemodynamic response. Because these two steps are inherently linked, we…

Applications · Statistics 2012-02-08 Lotfi Chaari , Thomas Vincent , Florence Forbes , Michel Dojat , Philippe Ciuciu

A new realized conditional autoregressive Value-at-Risk (VaR) framework is proposed, through incorporating a measurement equation into the original quantile regression model. The framework is further extended by employing various Expected…

Risk Management · Quantitative Finance 2021-01-18 Chao Wang , Richard Gerlach , Qian Chen

Smoothed functional (SF) schemes for gradient estimation are known to be efficient in stochastic optimization algorithms, specially when the objective is to improve the performance of a stochastic system. However, the performance of these…

Information Theory · Computer Science 2014-07-04 Debarghya Ghoshdastidar , Ambedkar Dukkipati , Shalabh Bhatnagar

In this work, we propose to utilize a variational autoencoder (VAE) for channel estimation (CE) in underdetermined (UD) systems. The basis of the method forms a recently proposed concept in which a VAE is trained on channel state…

Signal Processing · Electrical Eng. & Systems 2024-03-29 Michael Baur , Nurettin Turan , Benedikt Fesl , Wolfgang Utschick

Federated averaging (FedAvg) is a popular algorithm for horizontal federated learning (FL), where samples are gathered across different clients and are not shared with each other or a central server. Extensive convergence analysis of FedAvg…

Machine Learning · Computer Science 2025-02-03 Tom Overman , Diego Klabjan

In this paper, we prove that functional sliced inverse regression (FSIR) achieves the optimal (minimax) rate for estimating the central space in functional sufficient dimension reduction problems. First, we provide a concentration…

Statistics Theory · Mathematics 2025-04-16 Rui Chen , Songtao Tian , Dongming Huang , Qian Lin , Jun S. Liu

Endovascular aneurysm repair (EVAR) is a current alternative treatment for thoracic and abdominal aortic aneurysms, but is still sometimes compromised by possible complications such as device migration or endoleaks. In order to assist…

Medical Physics · Physics 2019-02-05 V. Acosta Santamaría , G. Daniel , D. Perrin , J. Albertini , E. Rosset , S. Avril

In this paper, we introduce a new approach to constructing unbiased estimators when computing expectations of path functionals associated with stochastic differential equations (SDEs). Our randomization idea is closely related to…

Computational Finance · Quantitative Finance 2012-07-11 Chang-han Rhee , Peter W. Glynn

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

In this paper, a semi-discrete spatial finite volume (FV) method is proposed and analyzed for approximating solutions of anomalous subdiffusion equations involving a temporal fractional derivative of order $\alpha \in (0,1)$ in a…

Numerical Analysis · Mathematics 2015-10-27 Samir Karaa , Kassem Mustapha , Amiya K. Pani

This paper addresses the problem of estimating the shape of objects that exhibit spatially-varying reflectance. We assume that multiple images of the object are obtained under a fixed view-point and varying illumination, i.e., the setting…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Zhuo Hui , Aswin C Sankaranarayanan

The problem of estimation of density functionals like entropy and mutual information has received much attention in the statistics and information theory communities. A large class of estimators of functionals of the probability density…

Statistics Theory · Mathematics 2013-03-05 Kumar Sricharan , Dennis Wei , Alfred O. Hero

Functional data analysis has been a growing field of study in recent decades, and one fundamental task in functional data analysis is estimating the sample location. A notion called statistical depth has been extended from multivariate data…

Applications · Statistics 2018-11-06 Xudong Zhang

In recent years, speech emotion recognition (SER) has been used in wide ranging applications, from healthcare to the commercial sector. In addition to signal processing approaches, methods for SER now also use deep learning techniques which…

Audio and Speech Processing · Electrical Eng. & Systems 2022-03-29 Sneha Das , Nicole Nadine Lønfeldt , Anne Katrine Pagsberg , Line H. Clemmensen

This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions combined with a finite difference scheme in the time…

Numerical Analysis · Mathematics 2025-11-03 Krishan Kumar , P. Danumjaya , Anil Kumar , Amiya K. Pani

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

Methodology · Statistics 2021-03-02 Juan Sosa , Lina Buitrago

In the present work we introduce a novel refinement algorithm for two-dimensional elliptic partial differential equations discretized with Virtual Element Method (VEM). The algorithm improves the numerical solution accuracy and the mesh…

Numerical Analysis · Mathematics 2024-03-18 Stefano Berrone , Fabio Vicini

Averaging predictions of a deep ensemble of networks is apopular and effective method to improve predictive performance andcalibration in various benchmarks and Kaggle competitions. However, theruntime and training cost of deep ensembles…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Timo Sämann , Ahmed Mostafa Hammam , Andrei Bursuc , Christoph Stiller , Horst-Michael Groß

The Virtual Element Method (VEM) is a very effective framework to design numerical approximations with high global regularity to the solutions of elliptic partial differential equations. In this paper, we review the construction of such…

Numerical Analysis · Mathematics 2021-12-28 Paola Francesca Antonietti , Gianmarco Manzini , Simone Scacchi , Marco Verani

In this article we propose a locally adaptive strategy for estimating a function from its Exponential Radon Transform (ERT) data, without prior knowledge of the smoothness of functions that are to be estimated. We build a non-parametric…

Statistics Theory · Mathematics 2020-11-16 Anuj Abhishek , Sakshi Arya