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Unsupervised depth estimation from a single image is a very attractive technique with several implications in robotic, autonomous navigation, augmented reality and so on. This topic represents a very challenging task and the advent of deep…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Matteo Poggi , Filippo Aleotti , Fabio Tosi , Stefano Mattoccia

For computing the exact value of the halfspace depth of a point w.r.t. a data cloud of $n$ points in arbitrary dimension, a theoretical framework is suggested. Based on this framework a whole class of algorithms can be derived. In all of…

Computation · Statistics 2016-01-13 Rainer Dyckerhoff , Pavlo Mozharovskyi

The absolute depth values of surrounding environments provide crucial cues for various assistive technologies, such as localization, navigation, and 3D structure estimation. We propose that accurate depth estimated from panoramic images can…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Junho Kim , Eun Sun Lee , Young Min Kim

The purpose of this article is to extend the notion of statistical depth to the case of sample paths of a Markov chain. Initially introduced to define a center-outward ordering of points in the support of a multivariate distribution, depth…

Statistics Theory · Mathematics 2025-02-27 Carlos Fernández , Stephan Clémençon

Linear regression is a fundamental tool for statistical analysis. This has motivated the development of linear regression methods that also satisfy differential privacy and thus guarantee that the learned model reveals little about any one…

Machine Learning · Computer Science 2023-03-20 Kareem Amin , Matthew Joseph , Mónica Ribero , Sergei Vassilvitskii

Monocular Depth Estimation is usually treated as a supervised and regression problem when it actually is very similar to semantic segmentation task since they both are fundamentally pixel-level classification tasks. We applied depth…

Computer Vision and Pattern Recognition · Computer Science 2019-10-24 Azeez Oluwafemi , Yang Zou , B. V. K. Vijaya Kumar

The majority of prior monocular depth estimation methods without groundtruth depth guidance focus on driving scenarios. We show that such methods generalize poorly to unseen complex indoor scenes, where objects are cluttered and arbitrarily…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Cho-Ying Wu , Jialiang Wang , Michael Hall , Ulrich Neumann , Shuochen Su

Depth from a monocular video can enable billions of devices and robots with a single camera to see the world in 3D. In this paper, we present an approach with a differentiable flow-to-depth layer for video depth estimation. The model…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Jiaxin Xie , Chenyang Lei , Zhuwen Li , Li Erran Li , Qifeng Chen

Penetration depth (PD) is essential for robotics due to its extensive applications in dynamic simulation, motion planning, haptic rendering, etc. The Expanding Polytope Algorithm (EPA) is the de facto standard for this problem, which…

Robotics · Computer Science 2024-09-06 Wei Gao

Unsupervised monocular depth estimation techniques have demonstrated encouraging results but typically assume that the scene is static. These techniques suffer when trained on dynamical scenes, where apparent object motion can equally be…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Yihong Sun , Bharath Hariharan

Estimating quantum entropies and divergences is an important problem in quantum physics, information theory, and machine learning. Quantum neural estimators (QNEs), which utilize a hybrid classical-quantum architecture, have recently…

Quantum Physics · Physics 2026-05-27 Sreejith Sreekumar , Ziv Goldfeld , Mark M. Wilde

Depth estimation and 3D object detection are critical for scene understanding but remain challenging to perform with a single image due to the loss of 3D information during image capture. Recent models using deep neural networks have…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Julie Chang , Gordon Wetzstein

The scatter halfspace depth (sHD) is an extension of the location halfspace (also called Tukey) depth that is applicable in the nonparametric analysis of scatter. Using sHD, it is possible to define minimax optimal robust scatter estimators…

Computation · Statistics 2022-08-11 Xiaohui Liu , Yuzi Liu , Petra Laketa , Stanislav Nagy , Yuting Chen

Cue points indicate possible temporal boundaries in a transition between two pieces of music in DJ mixing and constitute a crucial element in autonomous DJ systems as well as for live mixing. In this work, we present a novel method for…

Artificial Intelligence · Computer Science 2024-07-10 Giulia Argüello , Luca A. Lanzendörfer , Roger Wattenhofer

Depth estimation is of critical interest for scene understanding and accurate 3D reconstruction. Most recent approaches in depth estimation with deep learning exploit geometrical structures of standard sharp images to predict corresponding…

Computer Vision and Pattern Recognition · Computer Science 2018-09-07 Marcela Carvalho , Bertrand Le Saux , Pauline Trouvé-Peloux , Andrés Almansa , Frédéric Champagnat

Monocular depth estimation, similar to other image-based tasks, is prone to erroneous predictions due to ambiguities in the image, for example, caused by dynamic objects or shadows. For this reason, pixel-wise uncertainty assessment is…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Julia Hornauer , Amir El-Ghoussani , Vasileios Belagiannis

Modern computer vision has moved beyond the domain of internet photo collections and into the physical world, guiding camera-equipped robots and autonomous cars through unstructured environments. To enable these embodied agents to interact…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Igor Vasiljevic

Depth estimation from images serves as the fundamental step of 3D perception for autonomous driving and is an economical alternative to expensive depth sensors like LiDAR. The temporal photometric constraints enables self-supervised depth…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Yi Wei , Linqing Zhao , Wenzhao Zheng , Zheng Zhu , Yongming Rao , Guan Huang , Jiwen Lu , Jie Zhou

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

Statistics Theory · Mathematics 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

It is a standard assumption that datasets in high dimension have an internal structure which means that they in fact lie on, or near, subsets of a lower dimension. In many instances it is important to understand the real dimension of the…

Machine Learning · Statistics 2025-07-21 James A. D. Binnie , Paweł Dłotko , John Harvey , Jakub Malinowski , Ka Man Yim