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In topological data analysis (TDA), one often studies the shape of data by constructing a filtered topological space, whose structure is then examined using persistent homology. However, a single filtered space often does not adequately…

Algebraic Topology · Mathematics 2023-03-14 Magnus Bakke Botnan , Michael Lesnick

Despite the remarkable accuracies attained by machine learning classifiers to separate complex datasets in a supervised fashion, most of their operation falls short to provide an informed intuition about the structure of data, and, what is…

Machine Learning · Computer Science 2023-03-09 Aina Ferrà , Gloria Cecchini , Fritz-Pere Nobbe Fisas , Carles Casacuberta , Ignasi Cos

Deep learning has shown its efficacy in extracting useful features to solve various computer vision tasks. However, when the structure of the data is complex and noisy, capturing effective information to improve performance is very…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Eun Som Jeon , Rahul Khurana , Aishani Pathak , Pavan Turaga

In this paper, we propose a reduced reference (RR) point cloud quality assessment (PCQA) model named R-PCQA to quantify the distortions introduced by the lossy compression. Specifically, we use the attribute and geometry quantization steps…

Image and Video Processing · Electrical Eng. & Systems 2023-01-04 Yipeng Liu , Qi Yang , Yiling Xu

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. In this work, a system developed for a leading provider of cloud…

Machine Learning · Computer Science 2020-09-09 Rodrigo Rivera-Castro , Aleksandr Pletnev , Polina Pilyugina , Grecia Diaz , Ivan Nazarov , Wanyi Zhu , Evgeny Burnaev

Topological Data Analysis (TDA) is a recent and growing branch of statistics devoted to the study of the shape of the data. In this work we investigate the predictive power of TDA in the context of supervised learning. Since topological…

Machine Learning · Statistics 2017-09-22 Tullia Padellini , Pierpaolo Brutti

This paper presents a topological analytics approach within the 5-level Cyber-Physical Systems (CPS) architecture for the Stream-of-Quality assessment in smart manufacturing. The proposed methodology not only enables real-time quality…

Machine Learning · Computer Science 2024-04-24 Jay Lee , Dai-Yan Ji , Yuan-Ming Hsu

The 3D printing process flow requires several inputs for the best printing quality. These settings may vary from sample to sample, printer to printer, and depend upon users' previous experience. The involved operational parameters for 3D…

Image and Video Processing · Electrical Eng. & Systems 2022-06-02 Sunita Khod , Akshay Dvivedi , Mayank Goswami

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

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

Given the substantial growth in the use of additive manufacturing in construction (AMC), it is necessary to ensure the quality of printed specimens which can be much more complex than conventionally manufactured parts. This study explores…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 K. Mawas , M. Maboudi , M. Gerke

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust and interpretable features from noisy high-dimensional data. In the context of Social Choice Theory, where preference profiles and collective…

Algebraic Topology · Mathematics 2025-07-22 Athanasios Andrikopoulos , Nikolaos Sampanis

In this paper, we introduce a reinforcement learning approach utilizing a novel topology-based information gain metric for directing the next best view of a noisy 3D sensor. The metric combines the disjoint sections of an observed surface…

Robotics · Computer Science 2021-03-23 Christopher Collander , William J. Beksi , Manfred Huber

Semantic pattern of an object point cloud is determined by its topological configuration of local geometries. Learning discriminative representations can be challenging due to large shape variations of point sets in local regions and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Longkun Zou , Wanru Zhu , Ke Chen , Lihua Guo , Kailing Guo , Kui Jia , Yaowei Wang

Geometry and topology constitute complementary descriptors of three-dimensional shape, yet existing benchmark datasets primarily capture geometric information while neglecting topological structure. This work addresses this limitation by…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Prachi Kudeshia , Jiju Poovvancheri

A point cloud serves as a representation of the surface of a three-dimensional (3D) shape. Deep generative models have been adapted to model their variations typically using a map from a ball-like set of latent variables. However, previous…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Takumi Kimura , Takashi Matsubara , Kuniaki Uehara

Soft gels, formed via the self-assembly of particulate organic materials, exhibit intricate multi-scale structures that provides them with flexibility and resilience when subjected to external stresses. This work combines molecular…

Soft Condensed Matter · Physics 2024-04-05 Alexander Smith , Gavin J. Donley , Emanuela Del Gado , Victor M. Zavala

Point cloud processing has gained significant attention due to its critical role in applications such as autonomous driving and 3D object recognition. However, deploying high-performance models like Point Transformer V3 in…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Luu Tung Hai , Thinh D. Le , Zhicheng Ding , Qing Tian , Truong-Son Hy

Deep learning methods have achieved a lot of success in various applications involving converting wearable sensor data to actionable health insights. A common application areas is activity recognition, where deep-learning methods still…

Signal Processing · Electrical Eng. & Systems 2024-07-09 Eun Som Jeon , Hongjun Choi , Ankita Shukla , Yuan Wang , Hyunglae Lee , Matthew P. Buman , Pavan Turaga

We present a framework that adapts 2D diffusion models for 3D shape completion from incomplete point clouds. While text-to-image diffusion models have achieved remarkable success with abundant 2D data, 3D diffusion models lag due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Yao He , Youngjoong Kwon , Tiange Xiang , Wenxiao Cai , Ehsan Adeli
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