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In this paper, we study the subgaussian matrix variate model, where we observe the matrix variate data $X$ which consists of a signal matrix $X_0$ and a noise matrix $W$. More specifically, we study a subgaussian model using the Kronecker…

Statistics Theory · Mathematics 2025-02-06 Shuheng Zhou , Seyoung Park , Kerby Shedden

We propose a model for time series taking values on a Riemannian manifold and fit it to time series of covariance matrices derived from EEG data for patients suffering from epilepsy. The aim of the study is two-fold: to develop a model with…

Methodology · Statistics 2024-02-13 Tao Ding , Tom M. W. Nye , Yujiang Wang

This article addresses the issue of representing electroencephalographic (EEG) signals in an efficient way. While classical approaches use a fixed Gabor dictionary to analyze EEG signals, this article proposes a data-driven method to obtain…

Machine Learning · Computer Science 2013-03-22 Quentin Barthélemy , Cédric Gouy-Pailler , Yoann Isaac , Antoine Souloumiac , Anthony Larue , Jérôme I. Mars

Motor imagery EEG classification plays a crucial role in non-invasive Brain-Computer Interface (BCI) research. However, the classification is affected by the non-stationarity and individual variations of EEG signals. Simply pooling EEG data…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Xiao-Cong Zhong , Qisong Wang , Dan Liu , Zhihuang Chen , Jing-Xiao Liao , Jinwei Sun , Yudong Zhang , Feng-Lei Fan

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

Statistics Theory · Mathematics 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang

With the widespread application of electroencephalography (EEG) in neuroscience and clinical practice, efficiently retrieving and semantically interpreting large-scale, multi-source, heterogeneous EEG data has become a pressing challenge.…

Computation and Language · Computer Science 2025-10-14 Yi Wang , Haoran Luo , Lu Meng , Ziyu Jia , Xinliang Zhou , Qingsong Wen

Objective: Cortico-muscular communication patterns are instrumental in understanding movement control. Estimating significant causal relationships between motor cortex electroencephalogram (EEG) and surface electromyogram (sEMG) from…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Farwa Abbas , Verity McClelland , Zoran Cvetkovic , Wei Dai

This work investigates the predictive potential of bipolar electroencephalogram (EEG) recordings towards efficient prediction of poor neurological outcomes. A retrospective design using a hybrid deep learning approach is utilized to…

Signal Processing · Electrical Eng. & Systems 2023-10-09 Hemin Ali Qadir , Naimahmed Nesaragi , Per Steiner Halvorsen , Ilangko Balasingham

Evaluating foundation models under appropriate adaptation settings is essential for understanding the quality and transferability of the learned representations. Recent EEG foundation models have demonstrated promising transfer capabilities…

Machine Learning · Computer Science 2026-05-28 Aditya Kommineni , Emily Zhou , Kleanthis Avramidis , Tiantian Feng , Shrikanth Narayanan

Sparse covariance matrices play crucial roles by encoding the interdependencies between variables in numerous fields such as genetics and neuroscience. Despite substantial studies on sparse covariance matrices, existing methods face several…

Methodology · Statistics 2026-03-03 Rakheon Kim , Irina Gaynanova

We propose a Kronecker product model for correlation or covariance matrices in the large dimensional case. The number of parameters of the model increases logarithmically with the dimension of the matrix. We propose a minimum distance (MD)…

Statistics Theory · Mathematics 2019-05-20 Christian M. Hafner , Oliver B. Linton , Haihan Tang

We discuss Bayesian analysis of multivariate time series with dynamic factor models that exploit time-adaptive sparsity in model parametrizations via the latent threshold approach. One central focus is on the transfer responses of multiple…

Applications · Statistics 2022-06-07 Jouchi Nakajima , Mike West

We study the distribution of brain source from the most advanced brain imaging technique, Magnetoencephalography (MEG), which measures the magnetic fields outside the human head produced by the electrical activity inside the brain. Common…

Applications · Statistics 2019-08-13 Zhigang Yao , Zengyan Fan , Masahito Hayashi , William F. Eddy

This paper deals with the problem of parameter estimation based on certain eigenspaces of the empirical covariance matrix of an observed multidimensional time series, in the case where the time series dimension and the observation window…

Probability · Mathematics 2012-08-22 Walid Hachem , Philippe Loubaton , X. Mestre , Jamal Najim , Pascal Vallet

Nowadays, machine and deep learning techniques are widely used in different areas, ranging from economics to biology. In general, these techniques can be used in two ways: trying to adapt well-known models and architectures to the available…

Machine Learning · Computer Science 2022-03-21 Danilo Avola , Marco Cascio , Luigi Cinque , Alessio Fagioli , Gian Luca Foresti , Marco Raoul Marini , Daniele Pannone

In magnetoencephalography (MEG) the conventional approach to source reconstruction is to solve the underdetermined inverse problem independently over time and space. Here we present how the conventional approach can be extended by…

Deep learning has emerged as the preferred modeling approach for automatic ECG analysis. In this study, we investigate three elements aimed at improving the quantitative accuracy of such systems. These components consistently enhance…

Signal Processing · Electrical Eng. & Systems 2023-08-30 Temesgen Mehari , Nils Strodthoff

This manuscript presents an approach to perform generalized linear regression with multiple high dimensional covariance matrices as the outcome. Model parameters are proposed to be estimated by maximizing a pseudo-likelihood. When the data…

Methodology · Statistics 2020-07-28 Yi Zhao , Brian S. Caffo , Xi Luo

Continuous electroencephalography (EEG) is routinely used in neurocritical care to monitor seizures and other harmful brain activity, including rhythmic and periodic patterns that are clinically significant. Although deep learning methods…

Human-Computer Interaction · Computer Science 2026-01-05 Argha Kamal Samanta , Deepak Mewada , Monalisa Sarma , Debasis Samanta

Classification models for electroencephalogram (EEG) data show a large decrease in performance when evaluated on unseen test sub jects. We reduce this performance decrease using new regularization techniques during model training. We…

Machine Learning · Computer Science 2023-10-16 Niklas Smedemark-Margulies , Ye Wang , Toshiaki Koike-Akino , Jing Liu , Kieran Parsons , Yunus Bicer , Deniz Erdogmus