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We introduce fast algorithms for correlation clustering with respect to the Min Max objective that provide constant factor approximations on complete graphs. Our algorithms are the first purely combinatorial approximation algorithms for…

Data Structures and Algorithms · Computer Science 2023-01-31 Sami Davies , Benjamin Moseley , Heather Newman

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

Methodology · Statistics 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the…

Neurons and Cognition · Quantitative Biology 2016-11-02 Elliot A. Martin , Jaroslav Hlinka , Jörn Davidsen

The measurement of Doppler velocity shifts in spectra is a ubiquitous theme in astronomy, usually handled by computing the cross-correlation of the signals, and finding the location of its maximum. This paper addresses the problem of the…

Astrophysics · Physics 2008-11-26 Carlos Allende Prieto

The fusion of independently obtained stochastic maps by collaborating mobile agents is considered. The proposed approach includes two parts: matching of stochastic maps and maximum likelihood alignment. In particular, an affine invariant…

Applications · Statistics 2015-06-15 Brandon Jones , Mark Campbell , Lang Tong

In this paper, we propose a new algorithm based on radial symmetry center method to track colloidal particles close to contact, where the optical images of the particles start to overlap in digital video microscopy. This overlapping effect…

Instrumentation and Detectors · Physics 2017-10-26 Harun Yücel , Nazmi Turan Okumuşoğlu

We construct a "hyperparameter matrix" statistical method for performing the joint analyses of multiple correlated astronomical data sets, in which the weights of data sets are determined by their own statistical properties. This method is…

Instrumentation and Methods for Astrophysics · Physics 2014-05-20 Yin-Zhe Ma , Aaron Berndsen

We propose a cross-correlation method for the searches of ultra-light fields, in particular, with a space network of atomic sensors. The main motivation of the approach is cancellation of uncorrelated noises in the observation data and…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-01 Tigran Kalaydzhyan , Nan Yu

We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Reza Arablouei

The joint likelihood is a simple extension of the standard likelihood formalism that enables the estimation of common parameters across disjoint datasets. Joining the likelihood, rather than the data itself, means nuisance parameters can be…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Brandon Anderson , James Chiang , Johann Cohen-Tanugi , Jan Conrad , Alex Drlica-Wagner , Maja Llena Garde , Stephan Zimmer

We establish Multilayer Correlation Clustering, a novel generalization of Correlation Clustering to the multilayer setting. In this model, we are given a series of inputs of Correlation Clustering (called layers) over the common set $V$ of…

Data Structures and Algorithms · Computer Science 2026-05-20 Atsushi Miyauchi , Florian Adriaens , Francesco Bonchi , Nikolaj Tatti

The likelihood function represents statistical evidence in the context of data and a probability model. Considerable theory has demonstrated that evidence strength for different parameter values can be interpreted from the ratio of…

Applications · Statistics 2016-11-17 Zeynep Baskurt , Lisa Strug

Growth in both size and complexity of modern data challenges the applicability of traditional likelihood-based inference. Composite likelihood (CL) methods address the difficulties related to model selection and computational intractability…

Statistics Theory · Mathematics 2017-09-12 Zhendong Huang , Davide Ferrari

In this paper, symbol-by-symbol maximum likelihood (ML) detection is proposed for a cooperative diffusion-based molecular communication (MC) system. In this system, a fusion center (FC) chooses the transmitter's symbol that is more likely,…

Information Theory · Computer Science 2018-09-06 Yuting Fang , Adam Noel , Nan Yang , Andrew W. Eckford , Rodney A. Kennedy

Detecting changes in high-dimensional vectors presents significant challenges, especially when the post-change distribution is unknown and time-varying. This paper introduces a novel robust algorithm for correlation change detection in…

Methodology · Statistics 2024-10-07 Assma Alghamdi , Taposh Banerjee , Jayant Rajgopal

As sensors get more and more integrated, signal processing functions, like tracking, are performed closer to the sensor. Consequently, high level fusion is on the rise. Presented here is a high level fusion scheme incorporating not only…

Signal Processing · Electrical Eng. & Systems 2022-01-11 Sören Kohnert , Reinhard Stolle

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

Data Structures and Algorithms · Computer Science 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

We present a new non-parametric method for determining mean 3D density and mass profiles from weak lensing measurements around stacked samples of galaxies or clusters, that is, from measurement of the galaxy-shear or cluster-shear…

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

We present an improved method for calculating the parallel and perpendicular velocity correlation functions directly from peculiar velocity surveys using weighted maximum-likelihood estimators. A central feature of the new method is the use…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Yuyu Wang , Sarah Peery , Hume A. Feldman , Richard Watkins