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Nonlinear partial differential equations (PDEs) are used to model dynamical processes in a large number of scientific fields, ranging from finance to biology. In many applications standard local models are not sufficient to accurately…

A white noise analysis of modern deep neural networks is presented to unveil their biases at the whole network level or the single neuron level. Our analysis is based on two popular and related methods in psychophysics and neurophysiology…

计算机视觉与模式识别 · 计算机科学 2019-12-30 Ali Borji , Sikun Lin

Investigation of human brain states through electroencephalograph (EEG) signals is a crucial step in human-machine communications. However, classifying and analyzing EEG signals are challenging due to their noisy, nonlinear and…

机器学习 · 统计学 2019-12-19 Farzana Nasrin , Christopher Oballe , David L. Boothe , Vasileios Maroulas

Music, being a multifaceted stimulus evolving at multiple timescales, modulates brain function in a manifold way that encompasses not only the distinct stages of auditory perception but also higher cognitive processes like memory and…

神经元与认知 · 定量生物学 2018-02-06 Dimitrios A. Adamos , Nikolaos Laskaris , Sifis Micheloyannis

Brain source imaging is an important method for noninvasively characterizing brain activity using Electroencephalogram (EEG) or Magnetoencephalography (MEG) recordings. Traditional EEG/MEG Source Imaging (ESI) methods usually assume that…

应用统计 · 统计学 2019-06-07 Feng Liu , Li Wang , Yifei Lou , Rencang Li , Patrick Purdon

Unlike conventional data such as natural images, audio and speech, raw multi-channel Electroencephalogram (EEG) data are difficult to interpret. Modern deep neural networks have shown promising results in EEG studies, however finding robust…

信号处理 · 电气工程与系统科学 2022-06-22 Nikesh Bajaj , Jesús Requena Carrión , Francesco Bellotti

Clinical decision requires reasoning in the presence of imperfect data. DTs are a well-known decision support tool, owing to their interpretability, fundamental in safety-critical contexts such as medical diagnosis. However, learning DTs…

The power of machine learning (ML) provides the possibility of analyzing experimental measurements with an unprecedented sensitivity. However, it still remains challenging to probe the subtle effects directly related to physical observables…

量子气体 · 物理学 2021-10-19 Entong Zhao , Jeongwon Lee , Chengdong He , Zejian Ren , Elnur Hajiyev , Junwei Liu , Gyu-Boong Jo

Deep Neural Networks (DNNs) have already become a crucial computational approach to revealing the spatial patterns in the human brain; however, there are three major shortcomings in utilizing DNNs to detect the spatial patterns in…

机器学习 · 计算机科学 2022-05-26 Wei Zhang , Yu Bao

Assessing cognitive workload is crucial for human performance as it affects information processing, decision making, and task execution. Pupil size is a valuable indicator of cognitive workload, reflecting changes in attention and arousal…

机器学习 · 计算机科学 2024-10-21 Quang Dang , Murat Kucukosmanoglu , Michael Anoruo , Golshan Kargosha , Sarah Conklin , Justin Brooks

Electroencephalography (EEG) is a tool that allows us to analyze brain activity with high temporal resolution. These measures, combined with deep learning and digital signal processing, are widely used in neurological disorder detection and…

信号处理 · 电气工程与系统科学 2024-11-20 Isaac Ariza , Lorenzo J. Tardon , Ana M. Barbancho , Irene De-Torres , Isabel Barbancho

Partial differential equations (PDEs) that fit scientific data can represent physical laws with explainable mechanisms for various mathematically-oriented subjects, such as physics and finance. The data-driven discovery of PDEs from…

机器学习 · 计算机科学 2023-05-29 Yingtao Luo , Qiang Liu , Yuntian Chen , Wenbo Hu , Tian Tian , Jun Zhu

Classifying EEG data is integral to the performance of Brain Computer Interfaces (BCI) and their applications. However, external noise often obstructs EEG data due to its biological nature and complex data collection process. Especially…

信号处理 · 电气工程与系统科学 2023-04-14 Eric Modesitt , Ruiqi Yang , Qi Liu

Emerging evidence shows that the modular organization of the human brain allows for better and efficient cognitive performance. Many of these cognitive functions are very fast and occur in subsecond time scale such as the visual object…

神经元与认知 · 定量生物学 2018-08-01 J. Rizkallah , P. Benquet , A. Kabbara , O. Dufor , F. Wendling , M. Hassan

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

动力系统 · 数学 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

The principled design and discovery of biologically- and physically-informed models of neuronal dynamics has been advancing since the mid-twentieth century. Recent developments in artificial intelligence (AI) have accelerated this progress.…

Patterns of brain activity are associated with different brain processes and can be used to identify different brain states and make behavioral predictions. However, the relevant features are not readily apparent and accessible. To mine…

Handwriting imagery has emerged as a promising paradigm for brain-computer interfaces (BCIs) aimed at translating brain activity into text output. Compared with invasively recorded electroencephalography (EEG), non-invasive recording offers…

信号处理 · 电气工程与系统科学 2025-09-04 Hao Yang , Guang Ouyang

Humans share with many animal species the ability to perceive and approximately represent the number of objects in visual scenes. This ability improves throughout childhood, suggesting that learning and development play a key role in…

计算机视觉与模式识别 · 计算机科学 2025-07-29 Kuinan Hou , Marco Zorzi , Alberto Testolin

Electroencephalography (EEG) data present unique modeling challenges because recordings vary in length, exhibit very low signal to noise ratios, differ significantly across participants, drift over time within sessions, and are rarely…

信号处理 · 电气工程与系统科学 2026-01-05 Shahar Ain Kedem , Itamar Zimerman , Eliya Nachmani