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Topological Data Analysis (TDA) involves techniques of analyzing the underlying structure and connectivity of data. However, traditional methods like persistent homology can be computationally demanding, motivating the development of neural…

计算机视觉与模式识别 · 计算机科学 2025-11-10 Dylan Peek , Matthew P. Skerritt , Siddharth Pritam , Stephan Chalup

Recent electroencephalography (EEG) spatial super-resolution (SR) methods, while showing improved quality by either directly predicting missing signals from visible channels or adapting latent diffusion-based generative modeling to temporal…

机器学习 · 计算机科学 2026-02-03 Laura Yao , Gengwei Zhang , Moajjem Chowdhury , Yunmei Liu , Tianlong Chen

Recently, the application of deep learning models to diagnose neuropsychiatric diseases from brain imaging data has received more and more attention. However, in practice, exploring interactions in brain functional connectivity based on…

机器学习 · 计算机科学 2022-06-29 Sartaj Ahmed Salman , Zhichao Lian , Milad Taleby Ahvanooey , Hiroki Takahashi , Yuduo Zhang

Electroencephalography (EEG)-based emotion recognition plays a critical role in affective computing and emerging decision-support systems, yet remains challenging due to high-dimensional, noisy, and subject-dependent signals. This study…

机器学习 · 计算机科学 2026-02-09 S M Rakib UI Karim , Wenyi Lu , Diponkor Bala , Rownak Ara Rasul , Sean Goggins

Topological Data Analysis (TDA) provides powerful tools to explore the shape and structure of data through topological features such as clusters, loops, and voids. Persistence diagrams are a cornerstone of TDA, capturing the evolution of…

人工智能 · 计算机科学 2026-03-13 Alexander Mironenko , Evgeny. Burnaev , Serguei Barannikov

We propose a mixed deep neural network strategy, incorporating parallel combination of Convolutional (CNN) and Recurrent Neural Networks (RNN), cascaded with deep autoencoders and fully connected layers towards automatic identification of…

机器学习 · 计算机科学 2019-04-10 Pramit Saha , Sidney Fels

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

混沌动力学 · 物理学 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

Deep topological data analysis (TDA) offers a principled framework for capturing structural invariants such as connectivity and cycles that persist across scales, making it a natural fit for anomaly segmentation (AS). Unlike thresholdbased…

计算机视觉与模式识别 · 计算机科学 2026-01-29 Ali Zia , Usman Ali , Umer Ramzan , Abdul Rehman , Abdelwahed Khamis , Wei Xiang

Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

机器学习 · 计算机科学 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov

Both the temporal dynamics and spatial correlations of Electroencephalogram (EEG), which contain discriminative emotion information, are essential for the emotion recognition. However, some redundant information within the EEG signals would…

信号处理 · 电气工程与系统科学 2022-11-17 Zhe Wang , Yongxiong Wang , Chuanfei Hu , Zhong Yin , Yu Song

Recently, researchers have begun to experiment with deep learning-based methods for detecting major depressive disor-der (MDD) using electroencephalogram (EEG) signals in search of a more objective means of diagnosis. However, exist-ing…

机器学习 · 计算机科学 2026-02-02 Chen-Yang Xu , Han-Guang Wang , Lan Zhang , Yong-Hui Zhang , Hui-Rang Hou , Qing-Hao Meng

Topological Data Analysis (TDA) combines computational topology and data science to extract and analyze intrinsic topological and geometric structures in data set in a metric space. While the persistent homology (PH), a widely used tool in…

计算几何 · 计算机科学 2025-04-15 Chuanshen Hu , Yu Wang , Kelin Xia , Ke Ye , Yipeng Zhang

In recent years, multiple noninvasive imaging modalities have been used to develop a better understanding of the human brain functionality, including positron emission tomography, single-photon emission computed tomography, and functional…

信号处理 · 电气工程与系统科学 2019-10-18 Shiva Asadzadeh , Tohid Yousefi Rezaii , Soosan Beheshti , Azra Delpak , Saeed Meshgini

Accurate prediction of Drug-Target Affinity (DTA) is crucial for reducing experimental costs and accelerating early screening in computational drug discovery. While sequence-based deep learning methods avoid reliance on costly 3D…

机器学习 · 计算机科学 2025-11-03 Minghui Li , Yuanhang Wang , Peijin Guo , Wei Wan , Shengshan Hu , Shengqing Hu

Topological Data Analysis (TDA) offers a suite of computational tools that provide quantified shape features in high dimensional data that can be used by modern statistical and predictive machine learning (ML) models. In particular,…

密码学与安全 · 计算机科学 2023-07-06 Dominic Gold , Koray Karabina , Francis C. Motta

While the strength of Topological Data Analysis has been explored in many studies on high dimensional numeric data, it is still a challenging task to apply it to text. As the primary goal in topological data analysis is to define and…

机器学习 · 计算机科学 2020-03-31 Shafie Gholizadeh , Ketki Savle , Armin Seyeditabari , Wlodek Zadrozny

Unsupervised anomaly detection in time series is essential in industrial applications, as it significantly reduces the need for manual intervention. Multivariate time series pose a complex challenge due to their feature and temporal…

机器学习 · 计算机科学 2024-08-26 Zhe Liu , Xiang Huang , Jingyun Zhang , Zhifeng Hao , Li Sun , Hao Peng

Using deep learning methods to classify EEG signals can accurately identify people's emotions. However, existing studies have rarely considered the application of the information in another domain's representations to feature selection in…

信号处理 · 电气工程与系统科学 2023-03-22 Kexin Zhu , Xulong Zhang , Jianzong Wang , Ning Cheng , Jing Xiao

Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

机器学习 · 计算机科学 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

We introduce and compare several strategies for learning discriminative features from electroencephalography (EEG) recordings using deep learning techniques. EEG data are generally only available in small quantities, they are…

神经与进化计算 · 计算机科学 2016-01-08 Sebastian Stober , Avital Sternin , Adrian M. Owen , Jessica A. Grahn