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One of the popular measures of central tendency that provides better representation and interesting insights of the data compared to the other measures like mean and median is the metric mode. If the analytical form of the density function…

Machine Learning · Computer Science 2019-06-04 Chandramouli Kamanchi , Raghuram Bharadwaj Diddigi , Prabuchandran K. J. , Shalabh Bhatnagar

Depth map estimation from images is an important task in robotic systems. Existing methods can be categorized into two groups including multi-view stereo and monocular depth estimation. The former requires cameras to have large overlapping…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Jialei Xu , Xianming Liu , Yuanchao Bai , Junjun Jiang , Kaixuan Wang , Xiaozhi Chen , Xiangyang Ji

In self-supervised monocular depth estimation, the depth discontinuity and motion objects' artifacts are still challenging problems. Existing self-supervised methods usually utilize a single view to train the depth estimation network.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Jianrong Wang , Ge Zhang , Zhenyu Wu , XueWei Li , Li Liu

We study the space complexity of estimating the diameter of a subset of points in an arbitrary metric space in the dynamic (turnstile) streaming model. The input is given as a stream of updates to a frequency vector $x \in \mathbb{Z}_{\geq…

Data Structures and Algorithms · Computer Science 2025-10-07 Sanjeev Khanna , Ashwin Padaki , Krish Singal , Erik Waingarten

Unbiased confidence estimates of neural networks are crucial especially for safety-critical applications. Many methods have been developed to calibrate biased confidence estimates. Though there is a variety of methods for classification,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Fabian Küppers , Jan Kronenberger , Amirhossein Shantia , Anselm Haselhoff

In this research, we propose a new 3D object detector with a trustworthy depth estimation, dubbed BEVDepth, for camera-based Bird's-Eye-View (BEV) 3D object detection. Our work is based on a key observation -- depth estimation in recent…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Yinhao Li , Zheng Ge , Guanyi Yu , Jinrong Yang , Zengran Wang , Yukang Shi , Jianjian Sun , Zeming Li

Metric-based summary statistics such as mean and covariance have been introduced in neural spike train space. They can properly describe template and variability in spike train data, but are often sensitive to outliers and expensive to…

Applications · Statistics 2023-11-27 Xinyu Zhou , Wei Wu

Metric depth estimation plays an important role in mobile augmented reality (AR). With accurate metric depth, we can achieve more realistic user interactions such as object placement and occlusion detection. While specialized hardware like…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Ashkan Ganj , Yiqin Zhao , Hang Su , Tian Guo

Depth cues are known to be useful for visual perception. However, direct measurement of depth is often impracticable. Fortunately, though, modern learning-based methods offer promising depth maps by inference in the wild. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Zongwei Wu , Danda Pani Paudel , Deng-Ping Fan , Jingjing Wang , Shuo Wang , Cédric Demonceaux , Radu Timofte , Luc Van Gool

Amodal depth estimation aims to predict the depth of occluded (invisible) parts of objects in a scene. This task addresses the question of whether models can effectively perceive the geometry of occluded regions based on visible cues. Prior…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Zhenyu Li , Mykola Lavreniuk , Jian Shi , Shariq Farooq Bhat , Peter Wonka

Identification of the center of a data cloud is one of the basic problems in statistics. One popular choice for such a center is the median, and several versions of median in finite dimensional spaces have been studied in the literature. In…

Statistics Theory · Mathematics 2014-02-13 Anirvan Chakraborty , Probal Chaudhuri

Monocular depth estimation is scale-ambiguous, and thus requires scale supervision to produce metric predictions. Even so, the resulting models will be geometry-specific, with learned scales that cannot be directly transferred across…

Computer Vision and Pattern Recognition · Computer Science 2023-07-03 Vitor Guizilini , Igor Vasiljevic , Dian Chen , Rares Ambrus , Adrien Gaidon

The halfspace depth is a prominent tool of nonparametric multivariate analysis. The upper level sets of the depth, termed the trimmed regions of a measure, serve as a natural generalization of the quantiles and inter-quantile regions to…

Statistics Theory · Mathematics 2022-09-26 Petra Laketa , Stanislav Nagy

Estimating accurate 3D locations of objects from monocular images is a challenging problem because of lacking depth. Previous work shows that utilizing the object's keypoint projection constraints to estimate multiple depth candidates…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Yingyan Li , Yuntao Chen , Jiawei He , Zhaoxiang Zhang

Camouflaged object detection (COD) aims to segment camouflaged objects hiding in the environment, which is challenging due to the similar appearance of camouflaged objects and their surroundings. Research in biology suggests depth can…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Mochu Xiang , Jing Zhang , Yunqiu Lv , Aixuan Li , Yiran Zhong , Yuchao Dai

Endoscopic depth estimation is a critical technology for improving the safety and precision of minimally invasive surgery. It has attracted considerable attention from researchers in medical imaging, computer vision, and robotics. Over the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Ke Niu , Zeyun Liu , Xue Feng , Heng Li , Qika Lin , Kaize Shi

This paper presents a stereo object matching method that exploits both 2D contextual information from images as well as 3D object-level information. Unlike existing stereo matching methods that exclusively focus on the pixel-level…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Jaesung Choe , Kyungdon Joo , Francois Rameau , In So Kweon

We present a method for predicting dense depth in scenarios where both a monocular camera and people in the scene are freely moving. Existing methods for recovering depth for dynamic, non-rigid objects from monocular video impose strong…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Zhengqi Li , Tali Dekel , Forrester Cole , Richard Tucker , Noah Snavely , Ce Liu , William T. Freeman

Monocular Depth Estimation (MDE) enables spatial understanding, 3D reconstruction, and autonomous navigation, yet deep learning approaches often predict only relative depth without a consistent metric scale. This limitation reduces…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Jiuling Zhang

With the introduction of spectral-domain optical coherence tomography (OCT), much larger image datasets are routinely acquired compared to what was possible using the previous generation of time-domain OCT. Thus, the need for 3-D…

Computer Vision and Pattern Recognition · Computer Science 2012-05-03 Yankui Sun , Tian Zhang