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We characterize structures such as monotonicity, convexity, and modality in smooth regression curves using persistent homology. Persistent homology is a key tool in topological data analysis that detects higher-dimensional topological…

Algebraic Topology · Mathematics 2025-10-28 Satish Kumar , Subhra Sankar Dhar

This paper introduces an efficient algorithm for persistence diagram computation, given an input piecewise linear scalar field $f$ defined on a $d$-dimensional simplicial complex $K$, with $d \leq 3$. Our work revisits the seminal algorithm…

Machine Learning · Computer Science 2023-01-16 Pierre Guillou , Jules Vidal , Julien Tierny

We present a method to map 2D image observations of a scene to a persistent 3D scene representation, enabling novel view synthesis and disentangled representation of the movable and immovable components of the scene. Motivated by the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Prafull Sharma , Ayush Tewari , Yilun Du , Sergey Zakharov , Rares Ambrus , Adrien Gaidon , William T. Freeman , Fredo Durand , Joshua B. Tenenbaum , Vincent Sitzmann

Machine learning models fit complex algorithms to arbitrarily large datasets. These algorithms are well-known to be high on performance and low on interpretability. We use interactive visualization of slices of predictor space to address…

Machine Learning · Statistics 2021-09-08 Catherine B. Hurley , Mark O'Connell , Katarina Domijan

Vision Transformers (ViTs) have demonstrated outstanding performance in computer vision tasks, yet their high computational complexity prevents their deployment in computing resource-constrained environments. Various token pruning…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Xuwei Xu , Changlin Li , Yudong Chen , Xiaojun Chang , Jiajun Liu , Sen Wang

LIDAR semantic segmentation, which assigns a semantic label to each 3D point measured by the LIDAR, is becoming an essential task for many robotic applications such as autonomous driving. Fast and efficient semantic segmentation methods are…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Iñigo Alonso , Luis Riazuelo , Luis Montesano , Ana C. Murillo

Persistent homology is a central methodology in topological data analysis that has been successfully implemented in many fields and is becoming increasingly popular and relevant. The output of persistent homology is a persistence diagram --…

Statistics Theory · Mathematics 2024-04-24 Konstantin Häberle , Barbara Bravi , Anthea Monod

Real-time semantic segmentation of LiDAR data is crucial for autonomously driving vehicles, which are usually equipped with an embedded platform and have limited computational resources. Approaches that operate directly on the point cloud…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Shijie Li , Xieyuanli Chen , Yun Liu , Dengxin Dai , Cyrill Stachniss , Juergen Gall

Volumetric maps are widely used in robotics due to their desirable properties in applications such as path planning, exploration, and manipulation. Constant advances in mapping technologies are needed to keep up with the improvements in…

Robotics · Computer Science 2023-06-05 Victor Reijgwart , Cesar Cadena , Roland Siegwart , Lionel Ott

Presentation attack is a challenging issue that persists in the security of automatic fingerprint recognition systems. This paper proposes a novel explainable residual slim network that detects the presentation attack by representing the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Anuj Rai , Somnath Dey

Topological data analysis is becoming increasingly relevant to support the analysis of unstructured data sets. A common assumption in data analysis is that the data set is a sample---not necessarily a uniform one---of some high-dimensional…

Algebraic Topology · Mathematics 2021-01-20 Bastian Rieck , Markus Banagl , Filip Sadlo , Heike Leitte

IVISIT is a generic interactive visual simulation tool that is based on Python/Numpy and can be used for system simulation, parameter optimization, parameter management, and visualization of system dynamics as required, for example,for…

Human-Computer Interaction · Computer Science 2024-08-13 Andreas Knoblauch

The computation of Vietoris-Rips persistence barcodes is both execution-intensive and memory-intensive. In this paper, we study its computational structure and identify several unique mathematical properties and algorithmic opportunities…

Computational Geometry · Computer Science 2026-03-30 Simon Zhang , Mengbai Xiao , Hao Wang

Temporal graphs are commonly used to represent complex systems and track the evolution of their constituents over time. Visualizing these graphs is crucial as it allows one to quickly identify anomalies, trends, patterns, and other…

Human-Computer Interaction · Computer Science 2025-02-24 Raphaël Tinarrage , Jean R. Ponciano , Claudio D. G. Linhares , Agma J. M. Traina , Jorge Poco

Legacy spreadsheets are both, an asset, and an enduring problem concerning spreadsheets in business. To make spreadsheets stay alive and remain correct, comprehension of a given spreadsheet is highly important. Visualization techniques…

Software Engineering · Computer Science 2008-09-19 Karin Hodnigg , Roland T. Mittermeir

The use of Hilbert curves to visualize massive vector of data is revisited following previous authors. The Hilbert curve mapping preserves locality and makes meaningful representation of the data. We call such visualization as Hilbert…

Data Analysis, Statistics and Probability · Physics 2015-11-30 E. Estevez-Rams , C. Perez-Davidenko , B. Aragón Fernández , R. Lora-Serrano

Multi-dimensional data exploration is a classic research topic in visualization. Most existing approaches are designed for identifying record patterns in dimensional space or subspace. In this paper, we propose a visual analytics approach…

Machine Learning · Computer Science 2021-04-27 Peng Xie , Wenyuan Tao , Jie Li , Wentao Huang , Siming Chen

In the biomedical domain, visualizing the document embeddings of an extensive corpus has been widely used in information-seeking tasks. However, three key challenges with existing visualizations make it difficult for clinicians to find…

Human-Computer Interaction · Computer Science 2025-04-09 Rui Qiu , Yamei Tu , Po-Yin Yen , Han-Wei Shen

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

Multi-modal medical imaging enables comprehensive diagnostics, yet current foundation models process 2D (e.g. X-ray) and 3D (e.g. CT) data with separate, dimensionality-specific architectures. We present MultiMedVision, a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Frank Li , Bardia Khosravi , Mohammadreza Chavoshi , Young Seok Jeon , Theo Dapamede , Hari Trivedi , Janice Newsome , Judy Gichoya