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Combining information from different sources is a common way to improve classification accuracy in Brain-Computer Interfacing (BCI). For instance, in small sample settings it is useful to integrate data from other subjects or sessions in…

Machine Learning · Statistics 2013-10-24 Wojciech Samek , Alexander Binder , Klaus-Robert Müller

We propose a novel approach for analysing time series using complex network theory. We identify the recurrence matrix calculated from time series with the adjacency matrix of a complex network, and apply measures for the characterisation of…

Chaotic Dynamics · Physics 2009-10-17 N. Marwan , J. F. Donges , Y. Zou , R. V. Donner , J. Kurths

In this paper we initiate a somewhat detailed investigation of the relationships between quantitative recurrence indicators and algorithmic complexity of orbits in weakly chaotic dynamical systems. We mainly focus on examples.

Dynamical Systems · Mathematics 2009-11-10 C. Bonanno , S. Galatolo , S. Isola

Multiplicity correlation measurements provide insight into the dynamics of high energy collisions. Models describing these collisions need these correlation measurements to tune the strengths of the underlying QCD processes which influence…

Nuclear Experiment · Physics 2016-04-27 K. Gulbrandsen , C. Soegaard

Distance multivariance is a multivariate dependence measure, which can detect dependencies between an arbitrary number of random vectors each of which can have a distinct dimension. Here we discuss several new aspects, present a concise…

Statistics Theory · Mathematics 2020-04-17 Björn Böttcher

Visual Question Answering (VQA), as the representative multimodal task, serves as a key benchmark for evaluating the reasoning capabilities of Multimodal Large Language Models (MLLMs). However, existing evaluations largely rely on static…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Quanxing Xu , Yuhao Tian , Ling Zhou , Xian Zhong , Xiaohua Huang , Rubing Huang , Chia-Wen Lin

In multivariate time series systems, key insights can be obtained by discovering lead-lag relationships inherent in the data, which refer to the dependence between two time series shifted in time relative to one another, and which can be…

Machine Learning · Statistics 2023-09-20 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

Distance covariance is a widely used statistical methodology for testing the dependency between two groups of variables. Despite the appealing properties of consistency and superior testing power, the testing results of distance covariance…

Methodology · Statistics 2026-03-20 Andi Wang , Hao Yan , Juan Du

Many methods have been proposed for unsupervised time series anomaly detection. Despite some progress, research on predicting future anomalies is still relatively scarce. Predicting anomalies is particularly challenging due to the diverse…

Machine Learning · Computer Science 2024-10-22 Shiyan Hu , Kai Zhao , Xiangfei Qiu , Yang Shu , Jilin Hu , Bin Yang , Chenjuan Guo

Medical Visual Question Answering (MedVQA) aims to answer medical questions according to medical images. However, the complexity of medical data leads to confounders that are difficult to observe, so bias between images and questions is…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Zibo Xu , Qiang Li , Weizhi Nie , Weijie Wang , Anan Liu

Multiview analysis aims at extracting shared latent components from data samples that are acquired in different domains, e.g., image, text, and audio. Classic multiview analysis, e.g., canonical correlation analysis (CCA), tackles this…

Machine Learning · Computer Science 2020-06-24 Qi Lyu , Xiao Fu

Different approaches have been proposed to Visual Question Answering (VQA). However, few works are aware of the behaviors of varying joint modality methods over question type prior knowledge extracted from data in constraining answer search…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Tuong Do , Binh X. Nguyen , Huy Tran , Erman Tjiputra , Quang D. Tran , Thanh-Toan Do

Recurrence rate, determinism, average line length, and entropy of line lengths are measures of complexity in recurrence quantification analysis, that help to understand the structure, predictability and complexity of dynamical systems. In…

Dynamical Systems · Mathematics 2023-10-19 Miroslava Poláková , Vladimír Špitalský

A foremost challenge in modern network science is the inverse problem of reconstruction (inference) of coupling equations and network topology from the measurements of the network dynamics. Of particular interest are the methods that can…

Chaotic Dynamics · Physics 2019-10-31 Isao T. Tokuda , Zoran Levnajic , Kazuyoshi Ishimura

There are a multitude of methods to perform multi-set correlated component analysis (MCCA), including some that require iterative solutions. The methods differ on the criterion they optimize and the constraints placed on the solutions. This…

Machine Learning · Statistics 2018-02-13 Lucas C Parra

Multivariate signal processing is often based on dimensionality reduction techniques. We propose a new method, Dynamical Component Analysis (DyCA), leading to a classification of the underlying dynamics and - for a certain type of dynamics…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Bastian Seifert , Katharina Korn , Steffen Hartmann , Christian Uhl

We consider prediction in multiple studies with potential differences in the relationships between predictors and outcomes. Our objective is to integrate data from multiple studies to develop prediction models for unseen studies. We propose…

Methodology · Statistics 2024-07-23 Boyu Ren , Prasad Patil , Francesca Dominici , Giovanni Parmigiani , Lorenzo Trippa

Our understanding of a variety of phenomena in physics, biology and economics crucially depends on the analysis of multivariate time series. While a wide range of tools and techniques for time series analysis already exist, the increasing…

Physics and Society · Physics 2015-10-27 Lucas Lacasa , Vincenzo Nicosia , Vito Latora

Interactions in nature can be described by their coupling strength, direction of coupling and coupling function. The coupling strength and directionality are relatively well understood and studied, at least for two interacting systems,…

Adaptation and Self-Organizing Systems · Physics 2017-02-09 Tomislav Stankovski

Joint modeling technique is a recent advancement in effectively analyzing the longitudinal history of patients with the occurrence of an event of interest attached to it. This procedure is successfully implemented in biomarker studies to…

Methodology · Statistics 2021-01-08 Gajendra K. Vishwakarma , Atanu Bhattacharjee , Souvik Banerjee