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Symbolizations, the base of symbolic dynamic analysis, are classified as global static and local dynamic approaches which are combined by joint entropy in our works for nonlinear dynamic complexity analysis. Two global static methods,…

Data Analysis, Statistics and Probability · Physics 2018-02-07 Wenpo Yao , Jun Wang

In this paper, we explore prior research and introduce a new methodology for classifying mental state levels based on EEG signals utilizing machine learning (ML). Our method proposes an optimized training method by introducing a validation…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Maxime Girard , Rémi Nahon , Enzo Tartaglione , Van-Tam Nguyen

Pairwise metrics are often employed to estimate statistical dependencies between brain regions, however they do not capture higher-order information interactions. It is critical to explore higher-order interactions that go beyond paired…

Neurons and Cognition · Quantitative Biology 2023-08-04 Qiang Li , Shujian Yu , Kristoffer H Madsen , Vince D Calhoun , Armin Iraji

We present a measure for characterizing statistical relationships between two time sequences. In contrast to commonly used measures like cross-correlations, coherence and mutual information, the proposed measure is non-symmetric and…

chao-dyn · Physics 2009-10-31 J. Arnhold , P. Grassberger , K. Lehnertz , C. E. Elger

This paper offers a general and comprehensive definition of the day-of-the-week effect. Using symbolic dynamics, we develop a unique test based on ordinal patterns in order to detect it. This test uncovers the fact that the so-called…

Statistical Finance · Quantitative Finance 2018-01-25 Aurelio F. Bariviera , Angelo Plastino , George Judge

Background/Introduction: Concurrent electroencephalography and resting-state functional magnetic resonance imaging (rsfMRI) have been widely used for studying the (presumably) awake and alert human brain with high temporal/spatial…

Accurately modelling the dynamics of complex systems and discovering their governing differential equations are critical tasks for accelerating scientific discovery. Using noisy, synthetic data from two damped oscillatory systems, we…

Machine Learning · Computer Science 2026-01-29 Panayiotis Ioannou , Pietro Liò , Pietro Cicuta

This paper introduces a novel framework for Archetypal Analysis (AA) tailored to ordinal data, particularly from questionnaires. Unlike existing methods, the proposed method, Ordinal Archetypal Analysis (OAA), bypasses the two-step process…

In the quest for understanding human executive function, eye movements represent a unique insight into how we process and comprehend our environment. Eye movements reveal patterns in how we focus, navigate, and make decisions across various…

Human-Computer Interaction · Computer Science 2024-11-12 Mobina Zibandehpoor , Fatemeh Alizadehziri , Arash Abbasi Larki , Sobhan Teymouri , Mehdi Delrobaei

Symbolic transfer entropy is a powerful non-parametric tool to detect lead-lag between time series. Because a closed expression of the distribution of Transfer Entropy is not known for finite-size samples, statistical testing is often…

Statistical Finance · Quantitative Finance 2022-06-22 Christian Bongiorno , Damien Challet

Latent reasoning enables reasoning over continuous hidden states rather than explicit tokens, avoiding the language bottleneck and inference overhead of chain-of-thought for medical VQA. However, existing methods suffer from modality…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Qiaoru Li , Shaotian Liang , Jintao Chen , Haoran Sun , Yuxiang Cai , Jianwei Yin , Yankai Jiang

Background: Brain network models offer insights into brain dynamics, but the utility of model-derived bifurcation parameters as biomarkers remains underexplored. Objective: This study evaluates bifurcation parameters from a whole-brain…

Neurons and Cognition · Quantitative Biology 2025-11-26 Facundo Roffet , Gustavo Deco , Claudio Delrieux , Gustavo Patow

Dynamic functional connectivity analysis provides valuable information for understanding brain functional activity underlying different cognitive processes. Besides sliding window based approaches, a variety of methods have been developed…

Computer Vision and Pattern Recognition · Computer Science 2018-09-18 Hongming Li , Yong Fan

The past few decades have seen great leaps in technologies to analyze cells and tissues. Omics methods in particular now allow us unprecedented access to their the molecular composition where the base-level resolution of transcripts and…

Other Quantitative Biology · Quantitative Biology 2022-12-20 Ashika-Sita Jayanthy

We develop symbolic methods of asymptotic approximations for solutions of linear ordinary differential equations and use to them stabilize numerical calculations. Our method follows classical analysis for first-order systems and…

Symbolic Computation · Computer Science 2011-10-12 Christopher J. Winfield

Parkinsons disease (PD) alters cortical neural dynamics, yet reliable non-invasive electrophysiological biomarkers remain elusive. This study examined whether interpretable EEG features capturing complementary aspects of neural dynamics can…

Neurons and Cognition · Quantitative Biology 2026-04-14 Antonios G. Dougalis

3D image scans are an assessment tool for neurological damage in Parkinson's disease (PD) patients. This diagnosis process can be automatized to help medical staff through Decision Support Systems (DSSs), and Convolutional Neural Networks…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Javier Barbero-Gómez , Pedro-Antonio Gutiérrez , Víctor-Manuel Vargas , Juan-Antonio Vallejo-Casas , César Hervás-Martínez

Background: Any treatment of multiple sclerosis should preserve mental function, considering how cognitive deterioration interferes with quality of life. However, mental assessment is still realized with neuro-psychological tests without…

Brain Signals, such as Electroencephalography (EEG), and human languages have been widely explored independently for many downstream tasks, however, the connection between them has not been well explored. In this study, we explore the…

Neurons and Cognition · Quantitative Biology 2024-05-07 William Han , Jielin Qiu , Jiacheng Zhu , Mengdi Xu , Douglas Weber , Bo Li , Ding Zhao

Deep learning models perform best with abundant, high-quality labels, yet such conditions are rarely achievable in EEG-based emotion recognition. Electroencephalogram (EEG) signals are easily corrupted by artifacts and individual…

Machine Learning · Computer Science 2025-11-20 Hyo-Jeong Jang , Hye-Bin Shin , Kang Yin