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We introduce a nonparametric spectral density estimator for continuous-time and continuous-space processes measured at fully irregular locations. Our estimator is constructed using a weighted nonuniform Fourier sum whose weights yield a…

Methodology · Statistics 2025-10-07 Christopher J. Geoga , Paul G. Beckman

We introduce a novel MV-DETR pipeline which is effective while efficient transformer based detection method. Given input RGBD data, we notice that there are super strong pretraining weights for RGB data while less effective works for depth…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Zichao Dong , Yilin Zhang , Xufeng Huang , Hang Ji , Zhan Shi , Xin Zhan , Junbo Chen

In numerous applications data are observed at random times and an estimated graph of the spectral density may be relevant for characterizing and explaining phenomena. By using a wavelet analysis, one derives a nonparametric estimator of the…

Statistics Theory · Mathematics 2009-11-27 Jean-Marc Bardet , Pierre Bertrand

We consider density estimation for Besov spaces when each sample is quantized to only a limited number of bits. We provide a noninteractive adaptive estimator that exploits the sparsity of wavelet bases, along with a simulate-and-infer…

Statistics Theory · Mathematics 2021-07-22 Jayadev Acharya , Clément L. Canonne , Aditya Vikram Singh , Himanshu Tyagi

Accurate density estimation methodologies play an integral role in a variety of scientific disciplines, with applications including simulation models, decision support tools, and exploratory data analysis. In the past, histograms and kernel…

Statistics Theory · Mathematics 2012-06-14 Judson B. Locke , Adrian M. Peter

Variable kernel density estimation allows the approximation of a probability density by the mean of differently stretched and rotated kernels centered at given sampling points $y_n\in\mathbb{R}^d,\ n=1,\dots,N$. Up to now, the choice of the…

Statistics Theory · Mathematics 2018-05-07 Ilja Klebanov

Kernel density estimation (KDE) has become a popular method for visual analysis in various fields, such as financial risk forecasting, crime clustering, and traffic monitoring. KDE can identify high-density areas from discrete datasets.…

Databases · Computer Science 2025-01-14 Yu Shao , Peng Cheng , Xiang Lian , Lei Chen , Wangze Ni , Xuemin Lin , Chen Zhang , Liping Wang

We introduce a nonparametric way to estimate the global probability density function for a random persistence diagram. Precisely, a kernel density function centered at a given persistence diagram and a given bandwidth is constructed. Our…

Statistics Theory · Mathematics 2018-03-14 Joshua Lee Mike , Vasileios Maroulas

We point out that interesting features in high energy physics data can be determined from properties of Voronoi tessellations of the relevant phase space. For illustration, we focus on the detection of kinematic "edges" in two dimensions,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Dipsikha Debnath , James S. Gainer , Doojin Kim , Konstantin T. Matchev

Unsigned Distance Fields (UDFs) provide a flexible representation for 3D shapes with arbitrary topology, including open and closed surfaces, orientable and non-orientable geometries, and non-manifold structures. While recent neural…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Jiayi Kong , Chen Zong , Junkai Deng , Xuhui Chen , Fei Hou , Shiqing Xin , Junhui Hou , Chen Qian , Ying He

Embedding is a useful technique to project a high-dimensional feature into a low-dimensional space, and it has many successful applications including link prediction, node classification and natural language processing. Current approaches…

Information Retrieval · Computer Science 2020-09-21 Meimei Liu , Hongxia Yang

We introduce the Binless Multidimensional Thermodynamic Integration (BMTI) method for nonparametric, robust, and data-efficient density estimation. BMTI estimates the logarithm of the density by initially computing log-density differences…

Machine Learning · Statistics 2026-05-18 Matteo Carli , Alex Rodriguez , Alessandro Laio , Aldo Glielmo

This note introduces a doubly robust (DR) estimator for regression discontinuity (RD) designs. RD designs provide a quasi-experimental framework for estimating treatment effects, where treatment assignment depends on whether a running…

Econometrics · Economics 2025-01-28 Masahiro Kato

In this paper, we propose to compute Voronoi diagrams over mesh surfaces driven by an arbitrary geodesic distance solver, assuming that the input is a triangle mesh as well as a collection of sites $P=\{p_i\}_{i=1}^m$ on the surface. We…

Computational Geometry · Computer Science 2022-12-20 Shiqing Xin , Pengfei Wang , Rui Xu , Dongming Yan , Shuangmin Chen , Wenping Wang , Caiming Zhang , Changhe Tu

We investigate the problem of image retrieval based on visual queries when the latter comprise arbitrary regions-of-interest (ROI) rather than entire images. Our proposal is a compact image descriptor that combines the state-of-the-art in…

Computer Vision and Pattern Recognition · Computer Science 2017-03-22 Aaron Chadha , Yiannis Andreopoulos

We present a greedy method for simultaneously performing local bandwidth selection and variable selection in nonparametric regression. The method starts with a local linear estimator with large bandwidths, and incrementally decreases the…

Statistics Theory · Mathematics 2007-06-13 John Lafferty , Larry Wasserman

We propose the periodic scaled Korobov kernel (PSKK) method for nonparametric density estimation on $\mathbb{R}^d$. By first wrapping the target density into a periodic version through modulo operation and subsequently applying kernel ridge…

Statistics Theory · Mathematics 2025-12-23 Ziyang Ye , Haoyuan Tan , Xiaoqun Wang , Zhijian He

Deep learning has been used as a powerful tool for various tasks in computer vision, such as image segmentation, object recognition and data generation. A key part of end-to-end training is designing the appropriate encoder to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-06-27 Qing Fang

Motivated by fluorescence lifetime measurements this paper considers the problem of nonparametric density estimation in the pile-up model. Adaptive nonparametric estimators are proposed for the pile-up model in its simple form as well as in…

Applications · Statistics 2010-11-03 Fabienne Comte , Tabea Rebafka

In this article we propose a locally adaptive strategy for estimating a function from its Exponential Radon Transform (ERT) data, without prior knowledge of the smoothness of functions that are to be estimated. We build a non-parametric…

Statistics Theory · Mathematics 2020-11-16 Anuj Abhishek , Sakshi Arya
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