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The integrated shear 3-point correlation function $\zeta_{\pm}$ measures the correlation between the local shear 2-point function $\xi_{\pm}$ and the 1-point shear aperture mass in patches of the sky. Unlike other higher-order statistics,…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-17 Zhengyangguang Gong , Anik Halder , Alexandre Barreira , Stella Seitz , Oliver Friedrich

In recent years, parametric representations of point clouds have been widely applied in tasks such as memory-efficient mapping and multi-robot collaboration. Highly adaptive models, like spline surfaces or quadrics, are computationally…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Yuan Gao , Wei Dong

Point clouds acquired from scanning devices are often perturbed by noise, which affects downstream tasks such as surface reconstruction and analysis. The distribution of a noisy point cloud can be viewed as the distribution of a set of…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Shitong Luo , Wei Hu

Likelihood analysis is typically limited to normally distributed noise due to the difficulty of determining the probability density function of complex, high-dimensional, non-Gaussian, and anisotropic noise. This is a major limitation for…

Instrumentation and Methods for Astrophysics · Physics 2023-06-14 Ronan Legin , Alexandre Adam , Yashar Hezaveh , Laurence Perreault Levasseur

The super-parametric density estimators and its related algorism were suggested by Y. -S. Tsai et al [7]. The number of parameters is unlimited in the super- parametric estimators and it is a general theory in sense of unifying or…

Computation · Statistics 2008-11-07 Yeong-Shyeong Tsai , Ying-Lin Hsu , Mung-Chung Shung

We consider the problem of learning the true ordering of a set of alternatives from largely incomplete and noisy rankings. We introduce a natural generalization of both the classical Mallows model of ranking distributions and the…

Machine Learning · Computer Science 2021-06-29 Dimitris Fotakis , Alkis Kalavasis , Konstantinos Stavropoulos

Estimation of surface curvature from range data is important for a range of tasks in computer vision and robotics, object segmentation, object recognition and robotic grasping estimation. This work presents a fast method of robustly…

Computer Vision and Pattern Recognition · Computer Science 2017-07-17 Andrew Spek , Wai Ho Li , Tom Drummond

In general, the clustering problem is NP-hard, and global optimality cannot be established for non-trivial instances. For high-dimensional data, distance-based methods for clustering or classification face an additional difficulty, the…

Statistics Theory · Mathematics 2016-04-26 Tsvetan Asamov , Adi Ben-Israel

Data certainty is one of the issues in the real-world applications which is caused by unwanted noise in data. Recently, more attentions have been paid to overcome this problem. We proposed a new method based on neutrosophic set (NS) theory…

Signal Processing · Electrical Eng. & Systems 2019-08-12 Elyas Rashno , Sanaz Saki Norouzi , Behrouz Minaei-bidgoli , Yanhui Guo

In this paper, we question whether we have a reliable self-supervised point cloud model that can be used for diverse 3D tasks via simple linear probing, even with limited data and minimal computation. We find that existing 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Xiaoyang Wu , Daniel DeTone , Duncan Frost , Tianwei Shen , Chris Xie , Nan Yang , Jakob Engel , Richard Newcombe , Hengshuang Zhao , Julian Straub

Spatial range joins have many applications, including geographic information systems, location-based social networking services, neuroscience, and visualization. However, joins incur not only expensive computational costs but also too large…

Databases · Computer Science 2025-08-22 Daichi Amagata

Spatial intelligence is emerging as a transformative frontier in AI, yet it remains constrained by the scarcity of large-scale 3D datasets. Unlike the abundant 2D imagery, acquiring 3D data typically requires specialized sensors and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Xingyu Miao , Haoran Duan , Quanhao Qian , Jiuniu Wang , Yang Long , Ling Shao , Deli Zhao , Ran Xu , Gongjie Zhang

3D motion estimation including scene flow and point cloud registration has drawn increasing interest. Inspired by 2D flow estimation, recent methods employ deep neural networks to construct the cost volume for estimating accurate 3D flow.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-25 Xiaodong Gu , Chengzhou Tang , Weihao Yuan , Zuozhuo Dai , Siyu Zhu , Ping Tan

When classical particle filtering algorithms are used for maximum likelihood parameter estimation in nonlinear state-space models, a key challenge is that estimates of the likelihood function and its derivatives are inherently noisy. The…

Computation · Statistics 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

We present a neural net algorithm for parameter estimation in the context of large cosmological data sets. Cosmological data sets present a particular challenge to pattern-recognition algorithms since the input patterns (galaxy redshift…

Astrophysics · Physics 2007-05-23 Nicholas G. Phillips , A. Kogut

The classification of galaxies as spirals or ellipticals is a crucial task in understanding their formation and evolution. With the arrival of large-scale astronomical surveys, such as the Sloan Digital Sky Survey (SDSS), astronomers now…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Anusha Guruprasad

Functions on a bounded domain in scientific computing are often approximated using piecewise polynomial approximations on meshes that adapt to the shape of the geometry. We study the problem of function approximation using splines on a…

Numerical Analysis · Mathematics 2020-08-27 Vincent Coppé , Daan Huybrechs

Many models exist in the scientific literature for determining indoor daylighting values. They are classified in three categories: numerical, simplified and empirical models. Nevertheless, each of these categories of models are not…

Computational Engineering, Finance, and Science · Computer Science 2012-12-26 Ali Hamada Fakra , Frédéric Miranville , Harry Boyer , Stéphane Guichard

Based on literature review about existing diffusion models and flow matching with a neural network to predict a predefined target from noisy data, a unified representation is first proposed for these models using two simple linear equations…

Machine Learning · Computer Science 2026-03-10 Zhengguo Li , Chaobing Zheng , Wei Wang

We consider the problem of optimizing a high-dimensional convex function using stochastic zeroth-order queries. Under sparsity assumptions on the gradients or function values, we present two algorithms: a successive component/feature…

Machine Learning · Statistics 2018-02-27 Yining Wang , Simon Du , Sivaraman Balakrishnan , Aarti Singh