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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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Artificial Intelligence · Computer Science 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…

Machine Learning · Computer Science 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…

Chaotic Dynamics · Physics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Machine Learning · Computer Science 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…

Computational Geometry · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Machine Learning · Computer Science 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,…

Cryptography and Security · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Machine Learning · Computer Science 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…

Neural and Evolutionary Computing · Computer Science 2016-01-08 Sebastian Stober , Avital Sternin , Adrian M. Owen , Jessica A. Grahn
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