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We consider the task of meta-analysis in high-dimensional settings in which the data sources are similar but non-identical. To borrow strength across such heterogeneous datasets, we introduce a global parameter that emphasizes…

Methodology · Statistics 2022-07-01 Subha Maity , Yuekai Sun , Moulinath Banerjee

The performance of machine learning models relies heavily on the quality of input data, yet real-world applications often face significant data-related challenges. A common issue arises when curating training data or deploying models: two…

Machine Learning · Computer Science 2025-09-24 Varun Babbar , Zhicheng Guo , Cynthia Rudin

The degree to which subjects differ from each other with respect to certain properties measured by a set of variables, plays an important role in many statistical methods. For example, classification, clustering, and data visualization…

Machine Learning · Statistics 2023-01-06 Michel van de Velden , Alfonso Iodice D'Enza , Angelos Markos , Carlo Cavicchia

This study analyzes the impact of heterogeneity ("Variety") in Big Data by comparing classification strategies across structured (Epsilon) and unstructured (Rest-Mex, IMDB) domains. A dual methodology was implemented: evolutionary and…

Data heterogeneity plays a pivotal role in determining the performance of machine learning (ML) systems. Traditional algorithms, which are typically designed to optimize average performance, often overlook the intrinsic diversity within…

Machine Learning · Computer Science 2025-06-03 Jiashuo Liu , Peng Cui

As an intrinsic and fundamental property of big data, data heterogeneity exists in a variety of real-world applications, such as precision medicine, autonomous driving, financial applications, etc. For machine learning algorithms, the…

Machine Learning · Computer Science 2023-04-04 Jiashuo Liu , Jiayun Wu , Bo Li , Peng Cui

Meta-learning aims to learn a model that can handle multiple tasks generated from an unknown but shared distribution. However, typical meta-learning algorithms have assumed the tasks to be similar such that a single meta-learner is…

Machine Learning · Computer Science 2023-12-08 Kyeongryeol Go , Seyoung Yun

Due to numerous public information sources and services, many methods to combine heterogeneous data were proposed recently. However, general end-to-end solutions are still rare, especially systems taking into account different context…

Information Retrieval · Computer Science 2018-07-27 Slavko Žitnik , Lovro Šubelj , Dejan Lavbič , Olegas Vasilecas , Marko Bajec

A mathematical framework for modelling constrained mixed-variable optimization problems is presented in a blackbox optimization context. The framework introduces a new notation and allows solution strategies. The notation framework allows…

Optimization and Control · Mathematics 2022-04-05 Charles Audet , Edward Hallé-Hannan , Sébastien Le Digabel

For many optimization problems it is possible to define a distance metric between problem variables that correlates with the likelihood and strength of interactions between the variables. For example, one may define a metric so that the…

Neural and Evolutionary Computing · Computer Science 2012-01-12 Martin Pelikan , Mark W. Hauschild

A key obstacle in automated analytics and meta-learning is the inability to recognize when different datasets contain measurements of the same variable. Because provided attribute labels are often uninformative in practice, this task may be…

Machine Learning · Computer Science 2019-09-12 Jonas Mueller , Alex Smola

Meta-analyses are regarded as the highest level in the hierarchy of evidence, yet standard models traditionally concentrated on estimating the mean effect size, often under restrictive assumptions about the underlying distribution, such as…

Other Statistics · Statistics 2026-04-02 Yefeng Yang , Shinichi Nakagawa

Quantifying the distance between datasets is a fundamental question in mathematics and machine learning. We propose \textit{magnitude distance}, a novel distance metric defined on finite datasets using the notion of the \emph{magnitude} of…

Machine Learning · Computer Science 2026-02-10 Sahel Torkamani , Henry Gouk , Rik Sarkar

The rapid growth of high-dimensional datasets across various scientific domains has created a pressing need for new statistical methods to compare distributions supported on their underlying structures. Assessing similarity between datasets…

Statistics Theory · Mathematics 2025-11-27 Hongrui Chen , Rong Ma

Big Data involves both a large number of events but also many variables. This paper will concentrate on the challenge presented by the large number of variables in a Big Dataset. It will start with a brief review of exploratory data…

Applications · Statistics 2019-07-24 S. J. Watts , L. Crow

In this paper, we conduct a simulation study with subject-level data to evaluate conventional meta-regression approaches (study-level random, fixed, and mixed effects) against seven methodology specifications new to meta-regressions that…

Econometrics · Economics 2025-07-18 Ali Habibnia , Jonathan Gendron

Users of heterogeneous computing systems face two problems: firstly, in understanding the trade-off relationships between the observable characteristics of their applications, such as latency and quality of the result, and secondly, how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-15 Gordon Inggs , David B. Thomas , Wayne Luk

Datasets containing both categorical and continuous variables are frequently encountered in many areas, and with the rapid development of modern measurement technologies, the dimensions of these variables can be very high. Despite the…

Methodology · Statistics 2024-01-03 Binyan Jiang , Chenlei Leng , Cheng Wang , Zhongqing Yang , Xinyang Yu

Meta learning is a promising solution to few-shot learning problems. However, existing meta learning methods are restricted to the scenarios where training and application tasks share the same out-put structure. To obtain a meta model…

Machine Learning · Computer Science 2019-04-22 Yingtian Zou , Jiashi Feng

Multilevel or hierarchical data structures can occur in many areas of research, including economics, psychology, sociology, agriculture, medicine, and public health. Over the last 25 years, there has been increasing interest in developing…

Methodology · Statistics 2018-01-08 Bernet S. Kato , Carel F. W. Peeters
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