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One of the most important problems arising in time series analysis is that of bifurcation, or change point detection. That is, given a collection of time series over a varying parameter, when has the structure of the underlying dynamical…

Machine Learning · Statistics 2023-03-15 Audun Myers , Firas A. Khasawneh , Elizabeth Munch

Real-time video analytics on the edge is challenging as the computationally constrained resources typically cannot analyse video streams at full fidelity and frame rate, which results in loss of accuracy. This paper proposes a Transprecise…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-30 JunKyu Lee , Blesson Varghese , Roger Woods , Hans Vandierendonck

How can we design neural networks that allow for stable universal approximation of maps between topologically interesting manifolds? The answer is with a coordinate projection. Neural networks based on topological data analysis (TDA) use…

Machine Learning · Computer Science 2022-10-04 Michael Puthawala , Matti Lassas , Ivan Dokmanic , Pekka Pankka , Maarten de Hoop

Topological Data Analysis (TDA) can be used to detect and characterize holes in an image, such as zero-dimensional holes (connected components) or one-dimensional holes (loops). However, there is currently no widely accepted statistical…

Methodology · Statistics 2025-08-26 Susan Glenn , Jessi Cisewski-Kehe , Jun Zhu , William M Bement

A novel topological-data-analytical (TDA) method is proposed to distinguish, from noise, small holes surrounded by high-density regions of a probability density function. The proposed method is robust against additive noise and outliers.…

Statistics Theory · Mathematics 2024-04-02 Chunyin Siu , Gennady Samorodnitsky , Christina Lee Yu , Andrey Yao

Convolutional neural networks (CNNs) have been successful in representing the fully-connected inferencing ability perceived to be seen in the human brain: they take full advantage of the hierarchy-style patterns commonly seen in complex…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Joshua Ball

We introduce a subsampling method for topological data analysis based on strong collapses of simplicial complexes. Given a point cloud and a scale parameter $\delta$, we construct a subsampling that preserves both global and local…

Computational Geometry · Computer Science 2025-11-27 Elias Gabriel Minian

3D object detection in point cloud data remains a challenging task due to the sparsity and lack of global structure inherent in the input. In this work, we propose a novel Multi-Scale Attention (MSA) mechanism integrated into the 3DETR…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Mustaqeem Khan , Aidana Nurakhmetova , Wail Gueaieb , Abdulmotaleb El Saddik

A major challenge in scaling object detection is the difficulty of obtaining labeled images for large numbers of categories. Recently, deep convolutional neural networks (CNNs) have emerged as clear winners on object classification…

Computer Vision and Pattern Recognition · Computer Science 2017-11-10 Judy Hoffman , Sergio Guadarrama , Eric Tzeng , Ronghang Hu , Jeff Donahue , Ross Girshick , Trevor Darrell , Kate Saenko

Topological data analysis (TDA) provides a set of data analysis tools for extracting embedded topological structures from complex high-dimensional datasets. In recent years, TDA has been a rapidly growing field which has found success in a…

Methodology · Statistics 2022-03-09 Xiaojun Zheng , Simon Mak , Liyan Xie , Yao Xie

This paper presents a deep learning approach for the classification of Engineering (CAD) models using Convolutional Neural Networks (CNNs). Owing to the availability of large annotated datasets and also enough computational power in the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-15 Bharadwaj Manda , Pranjal Bhaskare , Ramanathan Muthuganapathy

Deep neural networks demonstrate to have a high performance on image classification tasks while being more difficult to train. Due to the complexity and vanishing gradient problem, it normally takes a lot of time and more computational…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Mohammad Sadegh Ebrahimi , Hossein Karkeh Abadi

This research uses deep learning to estimate the topology of manifolds represented by sparse, unordered point cloud scenes in 3D. A new labelled dataset was synthesised to train neural networks and evaluate their ability to estimate the…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Dylan Peek , Matt P. Skerritt , Stephan Chalup

Efficiently implementing remote sensing image classification with high spatial resolution imagery can provide a significant value in Land Use and Land Cover (LULC) classification. The new advances in remote sensing and deep learning…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Raoof Naushad , Tarunpreet Kaur , Ebrahim Ghaderpour

Remote sensing imagery plays a crucial role in many applications and requires accurate computerized classification techniques. Reliable classification is essential for transforming raw imagery into structured and usable information. While…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Niful Islam , Md. Rayhan Ahmed , Nur Mohammad Fahad , Salekul Islam , A. K. M. Muzahidul Islam , Saddam Mukta , Swakkhar Shatabda

Recently, deep learning (DL) approaches to vulnerability detection have gained significant traction. These methods demonstrate promising results, often surpassing traditional static code analysis tools in effectiveness. In this study, we…

Machine Learning · Computer Science 2024-10-07 Pavel Snopov , Andrey Nikolaevich Golubinskiy

Flaw detection in non-destructive testing, especially in complex signals like ultrasonic data, has thus far relied heavily on the expertise and judgement of trained human inspectors. While automated systems have been used for a long time,…

Signal Processing · Electrical Eng. & Systems 2019-03-28 Iikka Virkkunen , Tuomas Koskinen , Oskari Jessen-Juhler , Jari Rinta-Aho

Topological Data Analysis (TDA) is a novel new and fast growing field of data science providing a set of new topological and geometric tools to derive relevant features out of complex high-dimensional data. In this paper we apply two of…

Computation and Language · Computer Science 2019-06-06 Naiereh Elyasi , Mehdi Hosseini Moghadam

Convolutional Neural Networks (CNNs) can provide accurate object classification. They can be extended to perform object detection by iterating over dense or selected proposed object regions. However, the runtime of such detectors scales as…

Computer Vision and Pattern Recognition · Computer Science 2014-04-08 Forrest Iandola , Matt Moskewicz , Sergey Karayev , Ross Girshick , Trevor Darrell , Kurt Keutzer

Topological Data Analysis (TDA) is a recent approach to analyze data sets from the perspective of their topological structure. Its use for time series data has been limited to the field of financial time series primarily and as a method for…

Machine Learning · Computer Science 2019-06-18 Rodrigo Rivera-Castro , Polina Pilyugina , Alexander Pletnev , Ivan Maksimov , Wanyi Wyz , Evgeny Burnaev