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We develop a family of expanded mixed Multiscale Finite Element Methods (MsFEMs) and their hybridizations for second-order elliptic equations. This formulation expands the standard mixed Multiscale Finite Element formulation in the sense…

Numerical Analysis · Mathematics 2012-05-22 Lijian Jiang , Dylan Copeland , J. David Moulton

Objective: Sparse Bayesian learning provides an effective scheme to solve the high-dimensional problem in brain signal decoding. However, traditional assumptions regarding data distributions such as Gaussian and binomial are potentially…

Signal Processing · Electrical Eng. & Systems 2025-08-19 Yuanhao Li , Badong Chen , Wenjun Bai , Yasuharu Koike , Okito Yamashita

In clinical practice, electroencephalography (EEG) plays an important role in the diagnosis of epilepsy. EEG-based computer-aided diagnosis of epilepsy can greatly improve the ac-curacy of epilepsy detection while reducing the workload of…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Andong Li , Zhaohong Deng , Qiongdan Lou

Sparse linear arrays, such as co-prime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the coarray structure, an augmented sample covariance matrix can be constructed and…

Applications · Statistics 2016-12-15 Mianzhi Wang , Arye Nehorai

Distributed compressive sensing is a framework considering jointly sparsity within signal ensembles along with multiple measurement vectors (MMVs). The current theoretical bound of performance for MMVs, however, is derived to be the same…

Information Theory · Computer Science 2016-09-12 Sung-Hsien Hsieh , Wei-Jie Liang , Chun-Shien Lu , Soo-Chang Pei

Background: Dementia, marked by cognitive decline, is a global health challenge. Alzheimer's disease (AD), the leading type, accounts for ~70% of cases. Electroencephalography (EEG) measures show promise in identifying AD risk, but…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Veronica Henao Isaza , David Aguillon , Carlos Andres Tobon Quintero , Francisco Lopera , John Fredy Ochoa Gomez

We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our method consists of offline and online stages. In the…

Numerical Analysis · Mathematics 2018-08-01 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Zhiwen Zhang

Data imbalance exists ubiquitously in real-world visual regressions, e.g., age estimation and pose estimation, hurting the model's generalizability and fairness. Thus, imbalanced regression gains increasing research attention recently.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Jiawei Ren , Mingyuan Zhang , Cunjun Yu , Ziwei Liu

In large scale dynamic wireless networks, the amount of overhead caused by channel estimation (CE) is becoming one of the main performance bottlenecks. This is due to the large number users whose channels should be estimated, the user…

Information Theory · Computer Science 2022-04-19 Mohanad Obeed , Yasser Al-Eryani , Anas Chaaban

Human brains exhibit highly organized multiscale neurophysiological dynamics. Understanding those dynamic changes and the neuronal networks involved is critical for understanding how the brain functions in health and disease. Functional…

Neurons and Cognition · Quantitative Biology 2024-09-09 Manuel Morante , Kristian Frølich , Naveed ur Rehman

Micro-gestures are subtle and transient movements triggered by unconscious neural and emotional activities, holding great potential for human-computer interaction and clinical monitoring. However, their low amplitude, short duration, and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Weijia Feng , Jingyu Yang , Ruojia Zhang , Fengtao Sun , Qian Gao , Chenyang Wang , Tongtong Su , Jia Guo , Xiaobai Li , Minglai Shao

Medical image segmentation annotations exhibit variations among experts due to the ambiguous boundaries of segmented objects and backgrounds in medical images. Although using multiple annotations for each image in the fully-supervised has…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Shuai Wang , Tengjin Weng , Jingyi Wang , Yang Shen , Zhidong Zhao , Yixiu Liu , Pengfei Jiao , Zhiming Cheng , Yaqi Wang

In this work we propose an approximate Minimum Mean-Square Error (MMSE) filter for linear dynamic systems with Gaussian Mixture noise. The proposed estimator tracks each component of the Gaussian Mixture (GM) posterior with an individual…

Systems and Control · Computer Science 2015-06-26 Leila Pishdad , Fabrice Labeau

Objective: The detection of epileptic seizures from scalp electroencephalogram (EEG) signals can facilitate early diagnosis and treatment. Previous studies suggested that the Gaussianity of EEG distributions changes depending on the…

Signal Processing · Electrical Eng. & Systems 2021-03-03 Akira Furui , Ryota Onishi , Akihito Takeuchi , Tomoyuki Akiyama , Toshio Tsuji

From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs). These coefficients may fall outside the assumptions of classical…

Numerical Analysis · Mathematics 2026-05-22 Eric T. Chung , Patrick Ciarlet , Xingguang Jin , Changqing Ye

Diffusion models have recently achieved impressive results in reconstructing images from noisy inputs, and similar ideas have been applied to speech enhancement by treating time-frequency representations as images. With the ubiquity of…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-21 Renana Opochinsky , Sharon Gannot

Evaluating the effects of time-varying exposures is essential for longitudinal studies. The effect estimation becomes increasingly challenging when dealing with hundreds of time-dependent confounders. We propose a Marginal Structure…

Methodology · Statistics 2025-10-21 Zhiwei Zhao , Chixiang Chen , Shuo Chen

This paper discusses the benefits of incorporating multimodal data for improving latent emotion recognition accuracy, focusing on micro-expression (ME) and physiological signals (PS). The proposed approach presents a novel multimodal…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Liangfei Zhang , Yifei Qian , Ognjen Arandjelovic , Anthony Zhu

Masked autoencoders (MAE) have shown great promise in medical image classification. However, the random masking strategy employed by traditional MAEs may overlook critical areas in medical images, where even subtle changes can indicate…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Joao Batista Florindo , Viviane de Moura

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

Methodology · Statistics 2022-11-07 Euan T. McGonigle , Haeran Cho
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