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Analyzing singular patterns in vector fields is a fundamental problem in theoretical and practical domains due to the ability of such patterns to detect the intrinsic characteristics of vector fields. In this study, we propose an approach…

Computational Geometry · Computer Science 2025-07-17 Yu Chen , Hongwei Lin

Critical point tracking is a core topic in scientific visualization for understanding the dynamic behavior of time-varying vector field data. The topological notion of robustness has been introduced recently to quantify the structural…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Lin Yan , Paul Aaron Ullrich , Luke P. Van Roekel , Bei Wang , Hanqi Guo

Recent years have witnessed substantial progress on monocular depth estimation, particularly as measured by the success of large models on standard benchmarks. However, performance on standard benchmarks does not offer a complete…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Jack Nugent , Siyang Wu , Zeyu Ma , Beining Han , Meenal Parakh , Abhishek Joshi , Lingjie Mei , Alexander Raistrick , Xinyuan Li , Jia Deng

The reliability of segmentation models in the medical domain depends on the model's robustness to perturbations in the input space. Robustness is a particular challenge in medical imaging exhibiting various sources of image noise,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-06 Ainkaran Santhirasekaram , Avinash Kori , Mathias Winkler , Andrea Rockall , Ben Glocker

The combination of persistent homology and discrete Morse theory has proven very effective in visualizing and analyzing big and heterogeneous data. Indeed, topology provides computable and coarse summaries of data independently from…

Computational Geometry · Computer Science 2021-02-12 Claudia Landi , Sara Scaramuccia

Vectorial forms of structured light that are non-separable in their spatial and polarisation degrees of freedom have become topical of late, with an extensive toolkit for their creation and control. In contrast, the toolkit for quantifying…

In recent years, significant progress has been achieved for 3D object detection on point clouds thanks to the advances in 3D data collection and deep learning techniques. Nevertheless, 3D scenes exhibit a lot of variations and are prone to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Fatima Albreiki , Sultan Abughazal , Jean Lahoud , Rao Anwer , Hisham Cholakkal , Fahad Khan

In this paper, we propose a robust profile estimation method for the parametric and nonparametric components of a single index model when the errors have a strongly unimodal density with unknown nuisance parameter. Under regularity…

Methodology · Statistics 2018-01-25 Claudio Agostinelli , Ana M. Bianco , Graciela Boente

Remarkable progress has been made in self-supervised monocular depth estimation (SS-MDE) by exploring cross-view consistency, e.g., photometric consistency and 3D point cloud consistency. However, they are very vulnerable to illumination…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Haimei Zhao , Jing Zhang , Zhuo Chen , Bo Yuan , Dacheng Tao

Monocular depth estimation is an important task with rapid progress, but how to evaluate it is not fully resolved, as evidenced by a lack of standardization in existing literature and a large selection of evaluation metrics whose trade-offs…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Siyang Wu , Jack Nugent , Willow Yang , Jia Deng

Vector tomography methods intend to reconstruct and visualize vector fields in restricted domains by measuring line integrals of projections of these vector fields. Here, we deal with the reconstruction of irrotational vector functions from…

Quantitative Methods · Quantitative Biology 2017-05-03 Alexandra Koulouri

We investigate the problems and challenges of evaluating the robustness of Differential Equation-based (DE) networks against synthetic distribution shifts. We propose a novel and simple accuracy metric which can be used to evaluate…

Machine Learning · Computer Science 2022-06-17 Martin Gonzalez , Hatem Hajri , Loic Cantat , Mihaly Petreczky

We propose a new approach to measure differential radial velocities, mainly for single-lined spectroscopic binaries. The proposed procedure - TIRAVEL (Template Independent RAdial VELocities) - does not rely on a prior theoretical or…

Astrophysics · Physics 2009-11-11 Shay Zucker , Tsevi Mazeh

Models for image segmentation, node classification and many other tasks map a single input to multiple labels. By perturbing this single shared input (e.g. the image) an adversary can manipulate several predictions (e.g. misclassify several…

Machine Learning · Computer Science 2024-02-27 Jan Schuchardt , Tom Wollschläger , Aleksandar Bojchevski , Stephan Günnemann

Robust discrete optimization is a highly active field of research where a plenitude of combinations between decision criteria, uncertainty sets and underlying nominal problems are considered. Usually, a robust problem becomes harder to…

Optimization and Control · Mathematics 2022-01-14 Marc Goerigk , Mohammad Khosravi

We introduce a unified sensitivity concept for shape and topological perturbations and perform the sensitivity analysis for a discretized PDE-constrained design optimization problem in two space dimensions. We assume that the design is…

Optimization and Control · Mathematics 2026-04-01 Peter Gangl , Michael H. Gfrerer

A vision foundation model outputs an embedding vector for an image, which can be affected by common editing operations (e.g., JPEG compression, brightness, contrast adjustments). These common perturbations alter embedding vectors and may…

Cryptography and Security · Computer Science 2026-04-17 Hongbin Liu , Zhengyuan Jiang , Cheng Hong , Neil Zhenqiang Gong

Robustness checks are routine in empirical work, but there is no standard statistical procedure to formally measure what one can learn from them. I propose a "robustness radius" measure to quantify the amount by which the robustness checks…

Econometrics · Economics 2026-02-24 Brenda Prallon

Object modeling has become a core part of recent tracking frameworks. Current popular tackers use Transformer attention to extract the template feature separately or interactively with the search region. However, separate template learning…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Yidong Cai , Jie Liu , Jie Tang , Gangshan Wu

Tracking underwater autonomous platforms is often difficult because of noisy, biased, and discretized input data. Classic filters and smoothers based on standard assumptions of Gaussian white noise break down when presented with any of…

Optimization and Control · Mathematics 2019-05-24 Jonathan Jonker , Aleksandr Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster
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