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Many clustering methods, including k-means, require the user to specify the number of clusters as an input parameter. A variety of methods have been devised to choose the number of clusters automatically, but they often rely on strong…

统计方法学 · 统计学 2017-02-10 Wei Fu , Patrick O. Perry

Cluster number counts offer sensitive probes of the dark energy if and only if the_evolution_ of the cluster mass versus observable relation(s) is well calibrated. We investigate the potential for internal calibration by demanding…

天体物理学 · 物理学 2011-05-12 Wayne Hu

We study fair clustering problems in a setting where distance information is obtained from two sources: a strong oracle providing exact distances, but at a high cost, and a weak oracle providing potentially inaccurate distance estimates at…

数据结构与算法 · 计算机科学 2025-12-22 Vladimir Braverman , Prathamesh Dharangutte , Shaofeng H. -C. Jiang , Hoai-An Nguyen , Chen Wang , Yubo Zhang , Samson Zhou

We refine and extend an earlier MDL denoising criterion for wavelet-based denoising. We start by showing that the denoising problem can be reformulated as a clustering problem, where the goal is to obtain separate clusters for informative…

信息论 · 计算机科学 2016-11-15 Teemu Roos , Petri Myllymäki , Jorma Rissanen

In high-dimensional classification settings, we wish to seek a balance between high power and ensuring control over a desired loss function. In many settings, the points most likely to be misclassified are those who lie near the decision…

机器学习 · 统计学 2017-06-06 Arun Srinivasan

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

统计方法学 · 统计学 2025-11-12 Kentaro Fukumoto

In this lecture, we describe a number of advanced gain calibration techniques. In particular, self-calibration is an important tool in interferometric imaging at all wavelengths. It allows the observer to determine and remove residual phase…

天体物理仪器与方法 · 物理学 2018-05-15 Crystal L. Brogan , Todd R. Hunter , Ed B. Fomalont

This paper considers inference when there is a single treated cluster and a fixed number of control clusters, a setting that is common in empirical work, especially in difference-in-differences designs. We use the t-statistic and develop…

计量经济学 · 经济学 2025-11-11 Chun Pong Lau , Xinran Li

This work presents a novel method for fitting superquadrics to point clouds under the contamination of noise and outliers, which has many applications for shape modeling across diverse fields. Unlike prior approaches that either exclusively…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Mingyang Zhao , Sipu Ruan , Xiaohong Jia

A clustering is an implicit assignment of labels of points, based on proximity to other points. It is these labels that are then used for downstream analysis (either focusing on individual clusters, or identifying representatives of…

机器学习 · 计算机科学 2013-05-22 Parasaran Raman , Suresh Venkatasubramanian

This paper studies inference for quadratic forms of linear regression coefficients with clustered data and many covariates. Our framework covers three important special cases: instrumental variables regression with many instruments and…

计量经济学 · 经济学 2026-02-18 Michal Kolesár , Pengjin Min , Wenjie Wang , Yichong Zhang

Quantum error correction can reduce the effects of noise in quantum systems, e.g. in metrology or most notably in quantum computing. Typically, this requires making measurements that provide information about the errors that have occurred…

量子物理 · 物理学 2024-12-12 Christian Wimmer , Jochen Szangolies , Michael Epping

We implement an estimator for determining the separation between two incoherent point sources. This estimator relies on image inversion interferometry and when used with the appropriate data analytics, it yields an estimate of the…

光学 · 物理学 2016-05-31 Tang Zong Sheng , Kadir Durak , Alexander Ling

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

机器学习 · 计算机科学 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

机器学习 · 计算机科学 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

We continue the investigation of problems concerning correlation clustering or clustering with qualitative information, which is a clustering formulation that has been studied recently. The basic setup here is that we are given as input a…

数据结构与算法 · 计算机科学 2007-05-23 Ioannis Giotis , Venkatesan Guruswami

Transient radio signals of astrophysical origin present an avenue for studying the dynamic universe. With the next generation of radio interferometers being planned and built, there is great potential for detecting and studying large…

天体物理仪器与方法 · 物理学 2015-05-27 Cathryn M. Trott , Randall B. Wayth , Jean-Pierre R. Macquart , Steven J. Tingay

High fidelity radio interferometric data calibration that minimises spurious spectral structure in the calibrated data is essential in astrophysical applications, such as 21 cm cosmology, which rely on knowledge of the relative spectral…

天体物理仪器与方法 · 物理学 2022-10-26 Peter H. Sims , Jonathan C. Pober , Jonathan L. Sievers

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

数据结构与算法 · 计算机科学 2018-05-15 Dorit S. Hochbaum

We describe a method to construct continuum spectra for radio sources on the basis of entries from various source catalogues in comparatively large error boxes around a given sky position. Sources from the UTR-2 catalogue (Braude et al.…

天体物理学 · 物理学 2007-05-23 O. V. Verkhodanov , H. Andernach , N. V. Verkhodanova