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This paper generalizes the non-conforming FEM of Crouzeix and Raviart and its fundamental projection property by a novel mixed formulation for the Poisson problem based on the Helmholtz decomposition. The new formulation allows for ansatz…

数值分析 · 数学 2016-01-25 Mira Schedensack

Learning is the basis of both biological and artificial systems when it comes to mimicking intelligent behaviors. From the classical PPO (Proximal Policy Optimization), there is a series of deep reinforcement learning algorithms which are…

机器人学 · 计算机科学 2025-12-16 Wanru Gong , Xinyi Zheng , Yuan Hui , Zhongjun Li , Weiqiang Wang , Xiaoqing Zhu

In some complicated datasets, due to the presence of noisy data points and outliers, cluster validity indices can give conflicting results in determining the optimal number of clusters. This paper presents a new validity index for…

机器学习 · 计算机科学 2020-05-20 Mohammad Hossein Fazel Zarandi , Shahabeddin Sotudian , Oscar Castillo

A weighted likelihood approach for robust fitting of a mixture of multivariate Gaussian components is developed in this work. Two approaches have been proposed that are driven by a suitable modification of the standard EM and CEM…

统计方法学 · 统计学 2018-11-19 Luca Greco , Claudio Agostinelli

Many applications of interest involve data that can be analyzed as unit vectors on a d-dimensional sphere. Specific examples include text mining, in particular clustering of documents, biology, astronomy and medicine among others. Previous…

统计方法学 · 统计学 2018-03-14 Mojgan Golzy , Marianthi Markatou

Estimating the rank of a corrupted data matrix is an important task in data analysis, most notably for choosing the number of components in PCA. Significant progress on this task was achieved using random matrix theory by characterizing the…

统计理论 · 数学 2023-07-12 Boris Landa , Thomas T. C. K. Zhang , Yuval Kluger

Constructing valid inferential methods for constrained parameters in normal and Poisson distributions represents two fundamental and important problems in applied statistics, for which there is currently no unified framework for statistical…

统计方法学 · 统计学 2026-04-13 Hezhi Lu , Qijun Wu

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

Many high-energy physics analyses require the presence of leptons from $W$, $Z$, or $H$ boson decay. For these analyses, signatures that mimic such leptons present a `fake lepton' background that must be estimated. Since the magnitude of…

高能物理 - 实验 · 物理学 2016-06-23 Erich W. Varnes

Motivated by problems in data clustering, we establish general conditions under which families of nonparametric mixture models are identifiable, by introducing a novel framework involving clustering overfitted \emph{parametric} (i.e.…

统计理论 · 数学 2020-02-19 Bryon Aragam , Chen Dan , Eric P. Xing , Pradeep Ravikumar

This paper introduces novel weighted conformal p-values and methods for model-free selective inference. The problem is as follows: given test units with covariates $X$ and missing responses $Y$, how do we select units for which the…

统计方法学 · 统计学 2023-09-27 Ying Jin , Emmanuel J. Candès

We introduce a novel probabilistic group testing framework, termed Poisson group testing, in which the number of defectives follows a right-truncated Poisson distribution. The Poisson model has a number of new applications, including…

信息论 · 计算机科学 2023-07-19 Amin Emad , Olgica Milenkovic

To quantify how well theoretical predictions of structural ensembles agree with experimental measurements, we depend on the accuracy of forward models. These models are computational frameworks that generate observable quantities from…

生物物理 · 物理学 2025-11-04 Robert M. Raddi , Tim Marshall , Vincent A. Voelz

This paper is about iteratively reweighted basis-pursuit algorithms for compressed sensing and matrix completion problems. In a first part, we give a theoretical explanation of the fact that reweighted basis pursuit can improve a lot upon…

信息论 · 计算机科学 2011-07-11 Stéphane Gaïffas , Guillaume Lecué

The NEXT Generation Health study investigates the dating violence of adolescents using a survey questionnaire. Each student is asked to affirm or deny multiple instances of violence in his/her dating relationship. There is, however,…

应用统计 · 统计学 2015-06-02 Kara A. Fulton , Danping Liu , Denise L. Haynie , Paul S. Albert

Many real-world clustering problems are plagued by incomplete data characterized by missing or absent features for some or all of the data instances. Traditional clustering methods cannot be directly applied to such data without…

机器学习 · 计算机科学 2018-07-10 Shounak Datta , Supritam Bhattacharjee , Swagatam Das

Clustering methods seek to partition data such that elements are more similar to elements in the same cluster than to elements in different clusters. The main challenge in this task is the lack of a unified definition of a cluster,…

统计理论 · 数学 2022-07-06 Franz Besold , Vladimir Spokoiny

Relational Continuous Models (RCMs) represent joint probability densities over attributes of objects, when the attributes have continuous domains. With relational representations, they can model joint probability distributions over large…

人工智能 · 计算机科学 2012-03-19 Jaesik Choi , Eyal Amir , David J. Hill

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

统计方法学 · 统计学 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

In this work, we present a novel method for combining predictions of object detection models: weighted boxes fusion. Our algorithm utilizes confidence scores of all proposed bounding boxes to constructs the averaged boxes. We tested method…

计算机视觉与模式识别 · 计算机科学 2021-02-09 Roman Solovyev , Weimin Wang , Tatiana Gabruseva