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A novel multi-resolution cluster detection (MCD) method is proposed to identify irregularly shaped clusters in space. Multi-scale test statistic on a single cell is derived based on likelihood ratio statistic for Bernoulli sequence, Poisson…

Methodology · Statistics 2012-05-11 Lingsong Zhang , Zhengyuan Zhu

Our goal in this paper is to discover near duplicate patterns in large collections of artworks. This is harder than standard instance mining due to differences in the artistic media (oil, pastel, drawing, etc), and imperfections inherent in…

Computer Vision and Pattern Recognition · Computer Science 2019-03-11 Xi Shen , Alexei A. Efros , Mathieu Aubry

We introduce a general framework for testing temporal symmetries in time series based on the distribution of ordinal patterns. While previous approaches have focused on specific forms of asymmetry, such as time reversal, our method provides…

Statistics Theory · Mathematics 2026-01-21 Annika Betken , Giorgio Micali , Manuel Ruiz Marín

This paper addresses detecting anomalous patterns in images, time-series, and tensor data when the location and scale of the pattern is unknown a priori. The multiscale scan statistic convolves the proposed pattern with the image at various…

Statistics Theory · Mathematics 2018-06-22 James Sharpnack

A test of uniformity on [0,1] is developed for the setting of a single observation recorded with sufficient precision. Although consistency against general alternatives is not attainable with only one draw in the classical large-sample…

Methodology · Statistics 2026-05-07 Davide Ferrari

We develop a "multifocal" approach to reveal spatial dissimilarities in cities, from the most local scale to the metropolitan one. Think for instance of a statistical variable that may be measured at different scales, eg ethnic group…

Physics and Society · Physics 2018-07-02 Julien Randon-Furling , Madalina Olteanu , Antoine Lucquiaud

Matter-wave interferometry with solids is highly susceptible to minute fluctuations of environmental fields, including gravitational effects from distant sources. Hence, experiments require a degree of shielding that is extraordinarily…

Quantum Physics · Physics 2022-08-23 Julen S. Pedernales , Martin B. Plenio

We consider the detection of multivariate spatial clusters in the Bernoulli model with $N$ locations, where the design distribution has weakly dependent marginals. The locations are scanned with a rectangular window with sides parallel to…

Statistics Theory · Mathematics 2010-02-26 Guenther Walther

We consider a class of high-dimensional spatial filtering problems, where the spatial locations of observations are unknown and driven by the partially observed hidden signal. This problem is exceptionally challenging as not only is…

Methodology · Statistics 2024-03-07 Hamza Ruzayqat , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

Nearly all spatial reasoning problems involve uncertainty of one sort or another. Uncertainty arises due to the inaccuracies of sensors used in measuring distances and angles. We refer to this as directional uncertainty. Uncertainty also…

Artificial Intelligence · Computer Science 2013-04-08 Kenneth Basye , Thomas L. Dean

City is proved to be a scale-free phenomenon, and spatial autocorrelation is often employed to analyze spatial redundancy of cities. Unfortunately, spatial analysis results deviated practical requirement in many cases due to fractal nature…

Physics and Society · Physics 2023-08-09 Meng Fu , Yanguang Chen

The task of establishing correspondences between two 3D shapes is a long-standing challenge in computer vision. While numerous studies address full-full and partial-full 3D shape matching, only a limited number of works have explored the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Viktoria Ehm , Paul Roetzer , Florian Bernard , Daniel Cremers

This paper provides an overview of three notable approaches for detecting anomalies in spatio-temporal data. The three review methods are selected from the framework of multivariate statistical process control (SPC), scan statistics, and…

Methodology · Statistics 2023-09-19 Ji Chen

Symmetries are ubiquitous across all kinds of objects, whether in nature or in man-made creations. While these symmetries may seem intuitive to the human eye, detecting them with a machine is nontrivial due to the vast search space.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Jihyeon Je , Jiayi Liu , Guandao Yang , Boyang Deng , Shengqu Cai , Gordon Wetzstein , Or Litany , Leonidas Guibas

Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional…

Chaotic Dynamics · Physics 2009-11-10 Patrick E. McSharry , Leonard A. Smith

Spatial omics has transformed our understanding of tissue architecture by preserving spatial context of gene expression patterns. Simultaneously, advances in imaging AI have enabled extraction of morphological features describing the…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Eduard Chelebian , Christophe Avenel , Carolina Wählby

In spite of considerable practical importance, current algorithmic fairness literature lacks technical methods to account for underlying geographic dependency while evaluating or mitigating bias issues for spatial data. We initiate the…

Applications · Statistics 2022-01-31 Subhabrata Majumdar , Cheryl Flynn , Ritwik Mitra

There is an overwhelmingly large literature and algorithms already available on `large scale inference problems' based on different modeling techniques and cultures. Our primary goal in this paper is \emph{not to add one more new…

Statistics Theory · Mathematics 2017-04-03 Subhadeep Mukhopadhyay

A major challenge in place recognition for autonomous driving is to be robust against appearance changes due to short-term (e.g., weather, lighting) and long-term (seasons, vegetation growth, etc.) environmental variations. A promising…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Anh-Dzung Doan , Yasir Latif , Tat-Jun Chin , Yu Liu , Thanh-Toan Do , Ian Reid

In this paper, we consider the problem of causal order discovery within the framework of monotonic Structural Causal Models (SCMs), which have gained attention for their potential to enable causal inference and causal discovery from…

Machine Learning · Computer Science 2024-10-29 Ali Izadi , Martin Ester