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Traditionally, results given by the direct numerical simulation (DNS) of Navier-Stokes equations are widely regarded as reliable benchmark solutions of turbulence, as long as grid spacing is fine enough (i.e. less than the minimum…

Fluid Dynamics · Physics 2024-05-31 Shejie Qin , Yu Yang , Yongxiang Huang , Xinyu Mei , Lipo Wang , Shijun Liao

We consider goodness-of-fit tests for the distribution of the composed error in Stochastic Frontier Models. The proposed test statistic utilizes the characteristic function of the composed error term, and is formulated as a weighted…

Statistics Theory · Mathematics 2022-03-01 Simos G. Meintanis , Christos K. Papadimitriou

Accurately specifying covariance structures is critical for valid inference in longitudinal and functional data analysis, particularly when data are sparsely observed. In this study, we develop a global goodness-of-fit test to assess…

Methodology · Statistics 2025-03-31 Dhrubajyoti Ghosh , Zhuolin Song , Luo Xiao , Sheng Luo

Kernel two-sample tests have been widely used for multivariate data to test equality of distributions. However, existing tests based on mapping distributions into a reproducing kernel Hilbert space mainly target specific alternatives and do…

Methodology · Statistics 2023-11-21 Hoseung Song , Hao Chen

We present new families of goodness-of-fit tests of uniformity on a full-dimensional set $W\subset\R^d$ based on statistics related to edge lengths of random geometric graphs. Asymptotic normality of these statistics is proven under the…

Statistics Theory · Mathematics 2020-07-20 Bruno Ebner , Franz Nestmann , Matthias Schulte

We propose a kernel-based nonparametric test of relative goodness of fit, where the goal is to compare two models, both of which may have unobserved latent variables, such that the marginal distribution of the observed variables is…

Machine Learning · Statistics 2023-05-10 Heishiro Kanagawa , Wittawat Jitkrittum , Lester Mackey , Kenji Fukumizu , Arthur Gretton

Kernel Adaptive Filtering (KAF) are mathematically principled methods which search for a function in a Reproducing Kernel Hilbert Space. While they work well for tasks such as time series prediction and system identification they are…

Machine Learning · Computer Science 2023-12-20 Benjamin Colburn , Jose C. Principe , Luis G. Sanchez Giraldo

We present the results of a large number of simulation studies regarding the power of various goodness-of-fit as well as non-parametric two-sample tests for multivariate data. In two dimensions this includes both continuous and discrete…

Methodology · Statistics 2026-05-13 Wolfgang Rolke

Federated learning (FL) is a promising machine learning paradigm that collaborates with client models to capture global knowledge. However, deploying FL models in real-world scenarios remains unreliable due to the coexistence of…

Machine Learning · Computer Science 2024-10-24 Xinting Liao , Weiming Liu , Pengyang Zhou , Fengyuan Yu , Jiahe Xu , Jun Wang , Wenjie Wang , Chaochao Chen , Xiaolin Zheng

Distributed systems frequently encounter consistency violation faults (cvfs), where nodes operate on outdated or inaccurate data, adversely affecting convergence and overall system performance. This study presents a machine learning-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Kamal Giri , Amit Garu

Recent success of graph neural networks (GNNs) in modeling complex graph-structured data has fueled interest in deploying them on resource-constrained edge devices. However, their substantial computational and memory demands present ongoing…

Machine Learning · Computer Science 2026-02-10 Can Cui , Zilong Fu , Penghe Huang , Yuanyuan Li , Wu Deng , Dongyan Li

We develop a systematic, omnibus approach to goodness-of-fit testing for parametric distributional models when the variable of interest is only partially observed due to censoring and/or truncation. In many such designs, tests based on the…

Methodology · Statistics 2026-02-10 Juan Carlos Escanciano , Jacobo de Uña-Álvarez

The Cox model, which remains as the first choice in analyzing time-to-event data even for large datasets, relies on the proportional hazards (PH) assumption. When survival data arrive sequentially in chunks, a fast and minimally storage…

Methodology · Statistics 2020-11-24 Yishu Xue , HaiYing Wang , Jun Yan , Elizabeth D. Schifano

Multivariate goodness-of-fit and two-sample tests are important components of many nuclear and particle physics analyses. While a variety of powerful methods are available if the dimensionality of the feature space is small, such tests…

Data Analysis, Statistics and Probability · Physics 2016-12-22 Constantin Weisser , Mike Williams

Categorical variables are of uttermost importance in biomedical research. When two of them are considered, it is often the case that one wants to test whether or not they are statistically dependent. We show weaknesses of classical methods…

We propose a new Statistical Complexity Measure (SCM) to qualify edge maps without Ground Truth (GT) knowledge. The measure is the product of two indices, an \emph{Equilibrium} index $\mathcal{E}$ obtained by projecting the edge map into a…

Computer Vision and Pattern Recognition · Computer Science 2014-02-11 Javier Gimenez , Jorge Martinez , Ana Georgina Flesia

Continuous-time state-space models (SSMs) are flexible tools for analysing irregularly sampled sequential observations that are driven by an underlying state process. Corresponding applications typically involve restrictive assumptions…

Methodology · Statistics 2020-10-29 Sina Mews , Roland Langrock , Marius Ötting , Houda Yaqine , Jost Reinecke

Fueled by massive data, important decision making is being automated with the help of algorithms, therefore, fairness in algorithms has become an especially important research topic. In this work, we design new streaming and distributed…

Data Structures and Algorithms · Computer Science 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

Informatics and technological advancements have triggered generation of huge volume of data with varied complexity in its management and analysis. Big Data analytics is the practice of revealing hidden aspects of such data and making…

Databases · Computer Science 2018-03-30 Bikram Karmakar , Indranil Mukhopadhyay

This paper introduces a novel test for conditional stochastic dominance (CSD) at specific values of the conditioning covariates, referred to as target points. The test is relevant for analyzing income inequality, evaluating treatment…

Econometrics · Economics 2025-11-20 Federico A. Bugni , Ivan A. Canay , Deborah Kim
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