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Ranked set sampling (RSS) is a stratified sampling method that improves efficiency over simple random sampling (SRS) by utilizing auxiliary information for ranking and stratification. While balanced RSS (BRSS) assumes equal allocation…

统计方法学 · 统计学 2025-09-03 Chul Moon , Soohyun Ahn

In many instances, the application of approximate Bayesian methods is hampered by two practical features: 1) the requirement to project the data down to low-dimensional summary, including the choice of this projection, which ultimately…

统计方法学 · 统计学 2020-06-26 David T. Frazier

The generation of curves and surfaces from given data is a well-known problem in Computer-Aided Design that can be approached using subdivision schemes. They are powerful tools that allow obtaining new data from the initial one by means of…

数值分析 · 数学 2024-12-03 Sergio López-Ureña , Dionisio F. Yáñez

We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

统计计算 · 统计学 2019-03-28 Chi Feng , Youssef M. Marzouk

Hyperuniform states of matter exhibit unusual suppression of density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types of hyperuniformity emerge in multicomponent disordered systems,…

统计力学 · 物理学 2025-01-14 Hiroshi Frusawa

The structural study of entanglement in multipartite systems is hindered by the lack of necessary and sufficient operational criteria able to discriminate among the various entanglement properties of a given mixed state. Here, we pursue a…

量子物理 · 物理学 2014-05-20 Ruben Quesada , Anna Sanpera

Although point-based networks are demonstrated to be accurate for 3D point cloud modeling, they are still falling behind their voxel-based competitors in 3D detection. We observe that the prevailing set abstraction design for down-sampling…

计算机视觉与模式识别 · 计算机科学 2022-01-07 Chen Chen , Zhe Chen , Jing Zhang , Dacheng Tao

The plethora of wirelessly connected devices, whose deployment density is expected to largely increase in the upcoming sixth Generation (6G) of wireless networks, will naturally necessitate substantial advances in multiple access schemes.…

信息论 · 计算机科学 2024-10-29 Konstantinos D. Katsanos , Paolo Di Lorenzo , George C. Alexandropoulos

Real-world experimental scenarios are characterized by the presence of heteroskedastic aleatoric uncertainty, and this uncertainty can be correlated in batched settings. The bias--variance tradeoff can be used to write the expected mean…

机器学习 · 计算机科学 2025-09-05 Paul Scherer , Andreas Kirsch , Jake P. Taylor-King

When solving linear stochastic differential equations numerically, usually a high order spatial discretisation is used. Balanced truncation (BT) and singular perturbation approximation (SPA) are well-known projection techniques in the…

数值分析 · 数学 2016-11-18 Martin Redmann , Melina A. Freitag

Bipartite networks manifest as a stream of edges that represent transactions, e.g., purchases by retail customers. Many machine learning applications employ neighborhood-based measures to characterize the similarity among the nodes, such as…

社会与信息网络 · 计算机科学 2018-05-09 Nesreen K. Ahmed , Nick Duffield , Liangzhen Xia

Biased sampling methods such as the Temperature Accelerated Sliced Sampling (TASS), which can explore high dimensional collective variable (CV) space, is of great interest in free energy calculations. Such methods can efficiently sample…

计算物理 · 物理学 2020-10-06 Abhinav Gupta , Shivani Verma , Nisanth N. Nair

The aim of this paper is to investigate an attempt to build a binary classification algorithm using principles of geometry such as vectors, planes, and vector algebra. The basic idea behind the proposed algorithm is that a hyperplane can be…

机器学习 · 计算机科学 2025-03-04 Vatsal Srivastava

In quantum mechanics some properties are maximally incompatible, such as the position and momentum of a particle or the vertical and horizontal projections of a 2-level spin. Given any definite state of one property the other property is…

量子物理 · 物理学 2009-11-13 A. J. Skinner , V. A. Newell , R. Sanchez

Sampling-based algorithms are classical approaches to perform Bayesian inference in inverse problems. They provide estimators with the associated credibility intervals to quantify the uncertainty on the estimators. Although these methods…

统计方法学 · 统计学 2023-11-28 Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

In this paper, we investigate a large-scale stochastic system with bilinear drift and linear diffusion term. Such high dimensional systems appear for example when discretizing a stochastic partial differential equations in space. We study a…

最优化与控制 · 数学 2018-04-06 Martin Redmann

The sampling method has been paid much attention in the field of complex network in general and statistical physics in particular. This paper presents two new sampling methods based on the perspective that a small part of vertices with high…

物理与社会 · 物理学 2014-05-23 Luo Peng , Li Yongli , Wu Chong

This paper presents algorithms for the included-sums and excluded-sums problems used by scientific computing applications such as the fast multipole method. These problems are defined in terms of a $d$-dimensional array of $N$ elements and…

数据结构与算法 · 计算机科学 2021-06-02 Helen Xu , Sean Fraser , Charles E. Leiserson

We generalise the existence of combinatorial designs to the setting of subset sums in lattices with coordinates indexed by labelled faces of simplicial complexes. This general framework includes the problem of decomposing hypergraphs with…

组合数学 · 数学 2018-02-19 Peter Keevash

Panel data allows for the modeling of unobserved heterogeneity, significantly raising the number of nuisance parameters and making high dimensionality a practical issue. Meanwhile, temporal and cross-sectional dependence in panel data…

计量经济学 · 经济学 2025-12-23 Kaicheng Chen