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Scale invariance of intrinsic patterns is an important concept in geology that can be observed in numerous geological objects and phenomena. These geological objects and phenomena are described as containing statistically selfsimilar…

Geophysics · Physics 2018-02-20 Adewale Amosu , Hamdi Mahmood , Paul Ofoche , Mohamed Imsalem

Gaussian processes (GPs) provide flexible distributions over functions, with inductive biases controlled by a kernel. However, in many applications Gaussian processes can struggle with even moderate input dimensionality. Learning a low…

Machine Learning · Computer Science 2020-01-01 Ian A. Delbridge , David S. Bindel , Andrew Gordon Wilson

The sparse LiDAR point clouds become more and more popular in various applications, e.g., the autonomous driving. However, for this type of data, there exists much under-explored space in the corresponding compression framework proposed by…

Image and Video Processing · Electrical Eng. & Systems 2021-06-24 Qian Yin , Qingshan Ren , Lili Zhao , Wenyi Wang , Jianwen Chen

The emergence of 3D Gaussian Splatting (3DGS) has significantly advanced Novel View Synthesis (NVS) through explicit scene representation, enabling real-time photorealistic rendering. However, existing approaches manifest two critical…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Zheng Zhou , Yu-Jie Xiong , Jia-Chen Zhang , Chun-Ming Xia , Xihe Qiu , Hongjian Zhan

In a broad and fundamental type of ''inverse problems'' in science, one infers a spatially distributed physical attribute based on observations of processes that are controlled by the spatial attribute in question. The data-generating field…

Methodology · Statistics 2014-09-09 Zepu Zhang

3D action recognition was shown to benefit from a covariance representation of the input data (joint 3D positions). A kernel machine feed with such feature is an effective paradigm for 3D action recognition, yielding state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-10-05 Jacopo Cavazza , Pietro Morerio , Vittorio Murino

The structure tensor method is often used for 2D and 3D analysis of imaged structures, but its results are in many cases very dependent on the user's choice of method parameters. We simplify this parameter choice in first order structure…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Pawel Tomasz Pieta , Anders Bjorholm Dahl , Jeppe Revall Frisvad , Siavash Arjomand Bigdeli , Anders Nymark Christensen

The generalized spherical Radon transform associates the mean values over spherical tori to a function $f$ defined on $\mathbb{S}^3 \subset \mathbb{H}$, where the elements of $\mathbb{S}^3$ are considered as quaternions representing…

Mathematical Physics · Physics 2007-05-23 S. Bernstein , R. Hielscher , H. Schaeben

As a voxel-wise labeling task, semantic scene completion (SSC) tries to simultaneously infer the occupancy and semantic labels for a scene from a single depth and/or RGB image. The key challenge for SSC is how to effectively take advantage…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Jie Li , Kai Han , Peng Wang , Yu Liu , Xia Yuan

Gravitational wave detectors now under construction are sensitive to the phase of the incident gravitational waves. Correspondingly, the signals from the different detectors can be combined, in the analysis, to simulate a single detector of…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Lee Samuel Finn

A symmetry on rigid motion is one of the salient factors in efficient learning of 3D point cloud problems. Group convolution has been a representative method to extract equivariant features, but its realizations have struggled to retain…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Jaein Kim , Hee Bin Yoo , Dong-Sig Han , Byoung-Tak Zhang

In this paper, we propose a general framework for designing sensing matrix $\boldsymbol{A} \in \mathbb{R}^{d\times p}$, for estimation of sparse covariance matrix from compressed measurements of the form $\boldsymbol{y} =…

Information Theory · Computer Science 2022-11-16 Muralikrishnna G. Sethuraman , Hang Zhang , Faramarz Fekri

Detecting oriented objects along with estimating their rotation information is one crucial step for analyzing remote sensing images. Despite that many methods proposed recently have achieved remarkable performance, most of them directly…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Yanjie Wang , Xu Zou , Zhijun Zhang , Wenhui Xu , Liqun Chen , Sheng Zhong , Luxin Yan , Guodong Wang

Semantic segmentation on point clouds is critical for 3D scene understanding. However, sparse and irregular point distributions provide limited appearance evidence, making geometry-only features insufficient to distinguish objects with…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Hojun Song , Chae-yeong Song , Jeong-hun Hong , Chaewon Moon , Dong-hwi Kim , Gahyeon Kim , Soo Ye Kim , Yiyi Liao , Jaehyup Lee , Sang-hyo Park

In seismic interpretation, pixel-level labels of various rock structures can be time-consuming and expensive to obtain. As a result, there oftentimes exists a non-trivial quantity of unlabeled data that is left unused simply because…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Kiran Kokilepersaud , Mohit Prabhushankar , Ghassan AlRegib

Internal noise in deep networks is usually inherited from heuristics such as dropout, hard masking, or additive perturbation. We ask two questions: what correlation geometry should internal noise have, and is the implemented perturbation…

Machine Learning · Computer Science 2026-03-19 Ziran Liu

We introduce a library of geometric voxel features for CAD surface recognition/retrieval tasks. Our features include local versions of the intrinsic volumes (the usual 3D volume, surface area, integrated mean and Gaussian curvature) and a…

Computer Vision and Pattern Recognition · Computer Science 2017-01-17 Dmitry Yarotsky

The growing number of seismic and elastic attributes poses a challenge, making the full benefit from each attribute in characterizing geological formation very difficult, if not impossible. Various approaches are routinely employed to…

Geophysics · Physics 2024-10-30 Mohammed Farfour , Rachid Hedjam , Douglas Foster , Said Gaci

Regression analysis for responses taking values in general metric spaces has received increasing attention, particularly for settings with Euclidean predictors $X \in \mathbb{R}^p$ and non-Euclidean responses $Y$ in metric spaces. While…

Methodology · Statistics 2025-12-16 Wookyeong Song , Hans-Georg Müller

Reliable navigation in cluttered environments requires perception outputs that are not only accurate but also equipped with uncertainty sets suitable for safe control. An inverse perception contract (IPC) provides such a connection by…

Robotics · Computer Science 2026-03-05 Bingyao Du , Joonkyung Kim , Yiwei Lyu
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