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Many common clustering methods cannot be used for clustering multivariate longitudinal data in cases where variables exhibit high autocorrelations. In this article, a copula kernel mixture model (CKMM) is proposed for clustering data of…

Methodology · Statistics 2025-06-23 Xi Zhang , Orla A. Murphy , Paul D. McNicholas

The covariance matrix is a foundation in numerous statistical and machine-learning applications such as Principle Component Analysis, Correlation Heatmap, etc. However, missing values within datasets present a formidable obstacle to…

Machine Learning · Statistics 2025-01-22 Tuan L. Vo , Quan Huu Do , Uyen Dang , Thu Nguyen , Pål Halvorsen , Michael A. Riegler , Binh T. Nguyen

We propose a Multivariate Spatio-Temporal Neural Hawkes Process for modeling complex multivariate event data with spatio-temporal dynamics. The proposed model extends continuous-time neural Hawkes processes by integrating spatial…

Machine Learning · Statistics 2026-03-03 Christopher Chukwuemeka , Hojun You , Mikyoung Jun

We present a novel attention-based model for discrete event data to capture complex non-linear temporal dependence structures. We borrow the idea from the attention mechanism and incorporate it into the point processes' conditional…

Machine Learning · Statistics 2021-02-23 Shixiang Zhu , Minghe Zhang , Ruyi Ding , Yao Xie

The classical temporal point process (TPP) constructs an intensity function by taking the occurrence times into account. Nevertheless, occurrence time may not be the only relevant factor, other contextual data, termed covariates, may also…

Machine Learning · Computer Science 2024-07-24 Zizhuo Meng , Boyu Li , Xuhui Fan , Zhidong Li , Yang Wang , Fang Chen , Feng Zhou

We present BKP, a user-friendly and extensible R package that implements the Beta Kernel Process (BKP) -- a fully nonparametric and computationally efficient framework for modeling spatially varying binomial probabilities. The BKP model…

Computation · Statistics 2025-09-16 Jiangyan Zhao , Kunhai Qing , Jin Xu

Spatial processes with nonstationary and anisotropic covariance structure are often used when modelling, analysing and predicting complex environmental phenomena. Such processes may often be expressed as ones that have stationary and…

Methodology · Statistics 2020-04-06 Andrew Zammit-Mangion , Tin Lok James Ng , Quan Vu , Maurizio Filippone

Extracting coherent patterns is one of the standard approaches towards understanding spatio-temporal data. Dynamic mode decomposition (DMD) is a powerful tool for extracting coherent patterns, but the original DMD and most of its variants…

Machine Learning · Computer Science 2021-02-22 Naoya Takeishi , Keisuke Fujii , Koh Takeuchi , Yoshinobu Kawahara

Determinantal Point Processes (DPPs) are probabilistic models over all subsets a ground set of $N$ items. They have recently gained prominence in several applications that rely on "diverse" subsets. However, their applicability to large…

Machine Learning · Computer Science 2016-05-27 Zelda Mariet , Suvrit Sra

A determinantal point process (DPP) is an elegant model that assigns a probability to every subset of a collection of $n$ items. While conventionally a DPP is parameterized by a symmetric kernel matrix, removing this symmetry constraint,…

Machine Learning · Computer Science 2022-07-04 Insu Han , Mike Gartrell , Elvis Dohmatob , Amin Karbasi

Depth measures are powerful tools for defining level sets in emerging, non--standard, and complex random objects such as high-dimensional multivariate data, functional data, and random graphs. Despite their favorable theoretical properties,…

Imitation learning has been studied widely as a convenient way to transfer human skills to robots. This learning approach is aimed at extracting relevant motion patterns from human demonstrations and subsequently applying these patterns to…

Robotics · Computer Science 2018-03-07 Yanlong Huang , Leonel Rozo , João Silvério , Darwin G. Caldwell

Recent advances in decentralized deep learning algorithms have demonstrated cutting-edge performance on various tasks with large pre-trained models. However, a pivotal prerequisite for achieving this level of competitiveness is the…

Machine Learning · Computer Science 2024-04-15 Nastaran Saadati , Minh Pham , Nasla Saleem , Joshua R. Waite , Aditya Balu , Zhanhong Jiang , Chinmay Hegde , Soumik Sarkar

The proliferation of unmanned vehicles offers many opportunities for solving environmental sampling tasks with applications in resource monitoring and precision agriculture. Informative path planning (IPP) includes a family of methods which…

Robotics · Computer Science 2023-09-15 Lorenzo Booth , Stefano Carpin

In the spatial point process context, kernel intensity estimation has been mainly restricted to exploratory analysis due to its lack of consistency. Different methods have been analysed to overcome this problem, and the inclusion of…

Methodology · Statistics 2018-05-21 M. I. Borrajo , W. González-Manteiga , M. D. Martínez-Miranda

Identifying coherent spatiotemporal patterns generated by complex dynamical systems is a central problem in many science and engineering disciplines. Here, we combine ideas from the theory of operator-valued kernels with delay-embedding…

Data Analysis, Statistics and Probability · Physics 2018-05-24 Dimitrios Giannakis , Joanna Slawinska , Abbas Ourmazd , Zhizhen Zhao

We propose a new class of determinantal point processes (DPPs) which can be manipulated for inference and parameter learning in potentially sublinear time in the number of items. This class, based on a specific low-rank factorization of the…

Machine Learning · Statistics 2016-10-20 Christophe Dupuy , Francis Bach

Centralized training with decentralized execution has become an important paradigm in multi-agent learning. Though practical, current methods rely on restrictive assumptions to decompose the centralized value function across agents for…

Machine Learning · Computer Science 2020-06-11 Yaodong Yang , Ying Wen , Liheng Chen , Jun Wang , Kun Shao , David Mguni , Weinan Zhang

We introduce Constr-DRKM, a deep kernel method for the unsupervised learning of disentangled data representations. We propose augmenting the original deep restricted kernel machine formulation for kernel PCA by orthogonality constraints on…

Machine Learning · Computer Science 2020-12-01 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

In the big data era, integrating diverse data modalities poses significant challenges, particularly in complex fields like healthcare. This paper introduces a new process model for multimodal Data Fusion for Data Mining, integrating…

Artificial Intelligence · Computer Science 2024-06-04 David Restrepo , Chenwei Wu , Constanza Vásquez-Venegas , Luis Filipe Nakayama , Leo Anthony Celi , Diego M López