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Multidimensional data distributions can have complex topologies and variable local dimensions. To approximate complex data, we propose a new type of low-dimensional ``principal object'': a principal cubic complex. This complex is a…

Data Analysis, Statistics and Probability · Physics 2008-01-17 A. N. Gorban , N. R. Sumner , A. Y. Zinovyev

Robust generalization under climate change remains a major challenge for machine learning applications in climate science. Most existing approaches struggle to extrapolate beyond the climate they were trained on, leading to a strong…

Atmospheric and Oceanic Physics · Physics 2025-09-03 Shuchang Liu , Paul A. O'Gorman

Multi-Source Domain Adaptation (MSDA) focuses on transferring the knowledge from multiple source domains to the target domain, which is a more practical and challenging problem compared to the conventional single-source domain adaptation.…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Minghao Xu , Hang Wang , Bingbing Ni

Traditional approaches for learning on categorical data underexploit the dependencies between columns (\aka fields) in a dataset because they rely on the embedding of data points driven alone by the classification/regression loss. In…

Machine Learning · Computer Science 2023-07-19 Zhibin Li , Piotr Koniusz , Lu Zhang , Daniel Edward Pagendam , Peyman Moghadam

In modern data analytics, analysts frequently face the challenge of searching for desirable entities by evaluating, for each entity, a collection of its feature relations to derive key analytical properties. This search is challenging…

Databases · Computer Science 2025-07-25 Xi Wu , Eugene Wu , Zichen Zhu , Fengan Li , Jeffrey F. Naughton

In many settings, we have multiple data sets (also called views) that capture different and overlapping aspects of the same phenomenon. We are often interested in finding patterns that are unique to one or to a subset of the views. For…

Machine Learning · Computer Science 2015-07-15 Rong Ge , James Zou

Recent rapid advancements of machine learning have greatly enhanced the accuracy of prediction models, but most models remain "black boxes", making prediction error diagnosis challenging, especially with outliers. This lack of transparency…

Machine Learning · Statistics 2025-04-29 Hiroshi Yokoyama , Ryusei Shingaki , Kaneharu Nishino , Shohei Shimizu , Thong Pham

Feature tracking is a common task in visualization applications, where methods based on topological data analysis (TDA) have successfully been applied in the past for feature definition as well as tracking. In this work, we focus on…

Graphics · Computer Science 2023-08-21 Emma Nilsson , Jonas Lukasczyk , Talha Bin Masood , Christoph Garth , Ingrid Hotz

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2022-02-07 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

We employ random geometric digraphs to construct semi-parametric classifiers. These data-random digraphs are from parametrized random digraph families called proximity catch digraphs (PCDs). A related geometric digraph family, class cover…

Machine Learning · Computer Science 2017-05-23 Artür Manukyan , Elvan Ceyhan

Many visual analytics systems allow users to interact with machine learning models towards the goals of data exploration and insight generation on a given dataset. However, in some situations, insights may be less important than the…

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

Methodology · Statistics 2015-04-21 Gerhard Tutz , Moritz Berger

We present XEM, an eXplainable-by-design Ensemble method for Multivariate time series classification. XEM relies on a new hybrid ensemble method that combines an explicit boosting-bagging approach to handle the bias-variance trade-off faced…

Machine Learning · Computer Science 2022-02-16 Kevin Fauvel , Élisa Fromont , Véronique Masson , Philippe Faverdin , Alexandre Termier

Through Ecological Momentary Assessment (EMA) studies, a number of time-series data is collected across multiple individuals, continuously monitoring various items of emotional behavior. Such complex data is commonly analyzed in an…

Machine Learning · Computer Science 2023-10-12 Mandani Ntekouli , Gerasimos Spanakis , Lourens Waldorp , Anne Roefs

The Class Activation Map (CAM) lookup of a neural network tells us to which regions the neural network focuses when it makes a decision. In the past, the CAM search method was dependent upon a specific internal module of the network. It has…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Yitao Peng , Longzhen Yang , Yihang Liu , Lianghua He

Families of mixtures of multivariate power exponential (MPE) distributions have been previously introduced and shown to be competitive for cluster analysis in comparison to other elliptical mixtures including mixtures of Gaussian…

Computation · Statistics 2023-01-24 Utkarsh J. Dang , Michael P. B. Gallaugher , Ryan P. Browne , Paul D. McNicholas

In many recent works, the potential of Exploratory Landscape Analysis (ELA) features to numerically characterize, in particular, single-objective continuous optimization problems has been demonstrated. These numerical features provide the…

Machine Learning · Computer Science 2024-07-30 Moritz Vinzent Seiler , Pascal Kerschke , Heike Trautmann

Multivariate statistical methods are widely used throughout the sciences, including microscopy, however, their utilisation for analysis of electron backscatter diffraction (EBSD) data has not been adequately explored. The basic aim of most…

Strategies for machine-learning(ML)-accelerated discovery that are general across materials composition spaces are essential, but demonstrations of ML have been primarily limited to narrow composition variations. By addressing the scarcity…

Understanding low-dimensional structures within high-dimensional data is crucial for visualization, interpretation, and denoising in complex datasets. Despite the advancements in manifold learning techniques, key challenges-such as limited…

Machine Learning · Statistics 2025-04-04 Yafei Shen , Huan-Fei Ma , Ling Yang