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We propose an algorithm for an optimal adaptive selection of points from the design domain of input random variables that are needed for an accurate estimation of failure probability and the determination of the boundary between safe and…

计算工程、金融与科学 · 计算机科学 2023-06-30 Aleksei Gerasimov , Miroslav Vořechovský

Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

统计方法学 · 统计学 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

We consider a stationary and isotropic spatial point process, whose a realisation is observed within a large window. In order to predict its local intensity, we propose to define the first- and second-order characteristics of a random…

统计方法学 · 统计学 2015-12-16 Edith Gabriel , Florent Bonneu , Pascal Monestiez , Joel Chadoeuf

We study adaptive sensing of Cox point processes, a widely used model from spatial statistics. We introduce three tasks: maximization of captured events, search for the maximum of the intensity function and learning level sets of the…

机器学习 · 计算机科学 2022-03-31 Mojmír Mutný , Andreas Krause

Prompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function-valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and…

统计方法学 · 统计学 2023-07-12 Matthias Eckardt , Carles Comas , Jorge Mateu

Stochastic computational models in the form of pure jump processes occur frequently in the description of chemical reactive processes, of ion channel dynamics, and of the spread of infections in populations. For spatially extended models,…

数值分析 · 数学 2018-02-23 Augustin Chevallier , Stefan Engblom

In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on point processes living on linear networks and, from distinct…

统计方法学 · 统计学 2024-07-11 Matthias Eckardt , Jorge Mateu , Mehdi Moradi

We propose a stochastic approximation method for approximating the efficient frontier of chance-constrained nonlinear programs. Our approach is based on a bi-objective viewpoint of chance-constrained programs that seeks solutions on the…

最优化与控制 · 数学 2020-05-29 Rohit Kannan , James Luedtke

Intensity control is a class of continuous-time dynamic optimization problems with many important applications in Operations Research including queueing and revenue management. In this study, we propose a practical continuous-time…

机器学习 · 计算机科学 2026-04-14 Huiling Meng , Ningyuan Chen , Xuefeng Gao

A significantly low cost and tractable progressive learning approach is proposed and discussed for efficient spatiotemporal monitoring of a completely unknown, two dimensional correlated signal distribution in localized wireless sensor…

信号处理 · 电气工程与系统科学 2020-01-08 Hadi Alasti

We propose a penalized likelihood framework for estimating multiple precision matrices from different classes. Most existing methods either incorporate no information on relationships between the precision matrices, or require this…

机器学习 · 统计学 2020-03-03 Bradley S. Price , Aaron J. Molstad , Ben Sherwood

This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We establish efficient conditions for well-posedness, in the sense of robust Lipschitzian…

最优化与控制 · 数学 2021-12-13 Boris S. Mordukhovich , Pedro Pérez-Aros

Exploring deep convolutional neural networks of high efficiency and low memory usage is very essential for a wide variety of machine learning tasks. Most of existing approaches used to accelerate deep models by manipulating parameters or…

计算机视觉与模式识别 · 计算机科学 2019-07-30 Chuanjian Liu , Yunhe Wang , Kai Han , Chunjing Xu , Chang Xu

The analysis of spatial extremes requires the joint modeling of a spatial process at a large number of stations and max-stable processes have been developed as a class of stochastic processes suitable for studying spatial extremes. Spatial…

统计方法学 · 统计学 2012-09-28 Soyoung Jeon , Richard L. Smith

The present work investigates the segmentation of textures by formulating it as a strongly convex optimization problem, aiming to favor piecewise constancy of fractal features (local variance and local regularity) widely used to model…

最优化与控制 · 数学 2021-04-19 Barbara Pascal , Nelly Pustelnik , Patrice Abry

Spatiotemporal point processes (STPPs) are probabilistic models for events occurring in continuous space and time. Real-world event data often exhibit intricate dependencies and heterogeneous dynamics. By incorporating modern deep learning…

Application for semantic segmentation models in areas such as autonomous vehicles and human computer interaction require real-time predictive capabilities. The challenges of addressing real-time application is amplified by the need to…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Ethan Goan , Clinton Fookes

We develop fixed-point algorithms for the approximation of structured matrices with rank penalties. In particular we use these fixed-point algorithms for making approximations by sums of exponentials, or frequency estimation. For the basic…

数值分析 · 数学 2016-01-07 Fredrik Andersson , Marcus Carlsson

We present a proximal algorithm that performs a variational recursion on the space of joint probability measures to propagate the stochastic uncertainties in power system dynamics over high dimensional state space. The proposed algorithm…

最优化与控制 · 数学 2022-08-26 Abhishek Halder , Kenneth F. Caluya , Pegah Ojaghi , Xinbo Geng

Identifying spatial heterogeneous patterns has attracted a surge of research interest in recent years, due to its important applications in various scientific and engineering fields. In practice the spatially heterogeneous components are…

统计方法学 · 统计学 2024-05-07 Xin Zhang , Shan Yu , Zhengyuan Zhu , Xin Wang