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Extracting cosmological parameters from galaxy/halo catalogues with sub-percent level accuracy is an important aspect of modern cosmology, especially in view of ongoing and upcoming surveys such as Euclid, DESI, and LSST. While traditional…

宇宙学与河外天体物理 · 物理学 2025-11-18 Atrideb Chatterjee , Arka Banerjee , Francisco Villaescusa-Navarro , Tom Abel

The use of summary statistics beyond the two-point correlation function to analyze the non-Gaussian clustering on small scales is an active field of research in cosmology. In this paper, we explore a set of new summary statistics -- the…

宇宙学与河外天体物理 · 物理学 2021-02-03 Arka Banerjee , Tom Abel

We present the methodology for deriving accurate and reliable cosmological constraints from non-linear scales (<50Mpc/h) with k-th nearest neighbor (kNN) statistics. We detail our methods for choosing robust minimum scale cuts and…

宇宙学与河外天体物理 · 物理学 2023-10-11 Sihan Yuan , Tom Abel , Risa H. Wechsler

KNN has the reputation to be the word simplest but efficient supervised learning algorithm used for either classification or regression. KNN prediction efficiency highly depends on the size of its training data but when this training data…

机器学习 · 计算机科学 2021-07-01 Jude Tchaye-Kondi , Yanlong Zhai , Liehuang Zhu

Distances to the $k$-nearest-neighbor ($k$NN) data points from volume-filling query points are a sensitive probe of spatial clustering. Here we present the first application of $k$NN summary statistics to observational clustering…

宇宙学与河外天体物理 · 物理学 2022-06-27 Yunchong Wang , Arka Banerjee , Tom Abel , .

Searches for primordial non-Gaussianity in cosmological perturbations are a key means of revealing novel primordial physics. However, robustly extracting signatures of primordial non-Gaussianity from non-linear scales of the late-time…

宇宙学与河外天体物理 · 物理学 2023-09-28 William R. Coulton , Tom Abel , Arka Banerjee

The $k$-Nearest Neighbour Cumulative Distribution Functions are measures of clustering for discrete datasets that are fast and efficient to compute. They are significantly more informative than the 2-point correlation function. Their…

宇宙学与河外天体物理 · 物理学 2025-10-27 Kwanit Gangopadhyay , Arka Banerjee , Tom Abel

In astronomy and cosmology, significant effort is devoted to characterizing and understanding spatial cross-correlations between points - e.g. galaxy positions, high energy neutrino arrival directions, X-ray and AGN sources, and continuous…

宇宙学与河外天体物理 · 物理学 2023-01-11 Arka Banerjee , Tom Abel

For galaxy clustering to provide robust constraints on cosmological parameters and galaxy formation models, it is essential to make reliable estimates of the errors on clustering measurements. We present a new technique, based on a spatial…

宇宙学与河外天体物理 · 物理学 2015-05-28 Peder Norberg , Enrique Gaztanaga , Carlton M. Baugh , Darren J. Croton

The reverse k-nearest neighbor (RkNN) query is an established query type with various applications reaching from identifying highly influential objects over incrementally updating kNN graphs to optimizing sensor communication and outlier…

数据库 · 计算机科学 2020-11-04 Sandra Obermeier , Max Berrendorf , Peer Kröger

Nearest neighbor (k-NN) graphs are widely used in machine learning and data mining applications, and our aim is to better understand what they reveal about the cluster structure of the unknown underlying distribution of points. Moreover, is…

机器学习 · 统计学 2011-05-06 Samory Kpotufe , Ulrike von Luxburg

Deep neural networks (DNNs) enable innovative applications of machine learning like image recognition, machine translation, or malware detection. However, deep learning is often criticized for its lack of robustness in adversarial settings…

机器学习 · 计算机科学 2018-03-14 Nicolas Papernot , Patrick McDaniel

We train three convolutional neural networks (CNNs) to classify galaxies with Galaxy Zoo 2 dataset and extract the activations from the last fully connected layer or the last average pooling layer of CNNs to study the high-dimensional…

星系天体物理 · 物理学 2018-07-17 Jia-Ming Dai , Jizhou Tong

The 2dF Galaxy Redshift Survey has now been completed and has mapped the three-dimensional distribution, and hence clustering, of galaxies in exquisite detail over an unprecedentedly large ($\sim 10^{8} h^{-3}$ Mpc$^{3}$) volume of the…

天体物理学 · 物理学 2007-05-23 Warrick Couch , Matthew Colless , Roberto De Propris

A Shared Nearest Neighbor (SNN) graph is a type of graph construction using shared nearest neighbor information, which is a secondary similarity measure based on the rankings induced by a primary $k$-nearest neighbor ($k$-NN) measure. SNN…

机器学习 · 统计学 2023-04-04 A. Martina Neuman

Cross-correlations between datasets are used in many different contexts in cosmological analyses. Recently, $k$-Nearest Neighbor Cumulative Distribution Functions ($k{\rm NN}$-${\rm CDF}$) were shown to be sensitive probes of cosmological…

宇宙学与河外天体物理 · 物理学 2021-04-28 Arka Banerjee , Tom Abel

The k Nearest Neighbors (kNN) method has received much attention in the past decades, where some theoretical bounds on its performance were identified and where practical optimizations were proposed for making it work fairly well in high…

机器学习 · 计算机科学 2016-06-14 Aleksander Lodwich , Faisal Shafait , Thomas Breuel

We present the Nearest Neighbor Distance (NND) analysis of SDSS DR5 galaxies. We give NND results for observed, mock and random sample, and discuss the differences. We find that the observed sample gives us a significantly stronger…

宇宙学与河外天体物理 · 物理学 2012-12-10 Yongfeng Wu , Weike Xiao , Rongjun Mu , David Batuski , Andre Khalil

A $k$-nearest neighbor ($k$NN) query determines the $k$ nearest points, using distance metrics, from a specific location. An all $k$-nearest neighbor (A$k$NN) query constitutes a variation of a $k$NN query and retrieves the $k$ nearest…

We develop a novel method to explore the galaxy-halo connection using the galaxy imaging surveys by modeling the projected two-point correlation function measured from the galaxies with reasonable photometric redshift measurements. By…

宇宙学与河外天体物理 · 物理学 2019-07-17 Zhaoyu Wang , Haojie Xu , Xiaohu Yang , Y. P. Jing , Hong Guo , Zheng Zheng , Ying Zu , Zhigang Li , Chengze Liu
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