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We consider the two-star model, a family of exponential random graphs indexed by two real parameters, $h$ and $\alpha$, that rule respectively the total number of edges and the mutual dependence between them. Borrowing tools from…

概率论 · 数学 2023-01-31 Alessandra Bianchi , Francesca Collet , Elena Magnanini

Heterogeneous Graphs (HGs) effectively model complex relationships in the real world through multi-type nodes and edges. In recent years, inspired by self-supervised learning (SSL), contrastive learning (CL)-based Heterogeneous Graphs…

机器学习 · 计算机科学 2025-05-06 Yu Wang , Lei Sang , Yi Zhang , Yiwen Zhang , Xindong Wu

Covariance descriptors capture second-order statistics of image features. They have shown strong performance in general computer vision tasks, but remain underexplored in medical imaging. We investigate their effectiveness for both…

计算机视觉与模式识别 · 计算机科学 2025-11-07 Josef Mayr , Anna Reithmeir , Maxime Di Folco , Julia A. Schnabel

The gradient descent (GD) method -- is a fundamental and likely the most popular optimization algorithm in machine learning (ML), with a history traced back to a paper in 1847 (Cauchy, 1847). It was studied under various assumptions,…

最优化与控制 · 数学 2025-02-20 Aleksandr Lobanov , Alexander Gasnikov , Eduard Gorbunov , Martin Takáč

Motivated by recent work on studying massive imaging data in various neuroimaging studies, we propose a novel spatially varying coefficient model (SVCM) to spatially model the varying association between imaging measures in a…

统计方法学 · 统计学 2014-12-01 Hongtu Zhu , Jianqing Fan , Linglong Kong

Gamma -ray bursts (GRBs) observed up to redshifts $z>9.4$ can be used as possible probes to test cosmological models. Here we show how changes of the slope of the {\it luminosity $L^*_X$ -break time $T^*_a$} correlation in GRB afterglows,…

高能天体物理现象 · 物理学 2015-06-16 Maria Giovanna Dainotti , Vincenzo Fabrizio Cardone , Ester Piedipalumbo , Salvatore Capozziello

To improve the accuracy of existing dust concentration measurements, a dust concentration measurement based on Moment of inertia in Gray level-Rank Co-occurrence Matrix (GRCM), which is from the dust image sample measured by a machine…

计算机视觉与模式识别 · 计算机科学 2018-05-11 Zhiwen Luo , Guohui Li , Junfeng Du , Jieping Wu

Point cloud anomaly detection is essential for various industrial applications. The huge computation and storage costs caused by the increasing product classes limit the application of single-class unsupervised methods, necessitating the…

计算机视觉与模式识别 · 计算机科学 2025-05-13 Yuqi Cheng , Yunkang Cao , Dongfang Wang , Weiming Shen , Wenlong Li

Optical contrast is the most common preliminary method to identify layer number of two-dimensional (2D) materials, but is seldom used as a confirmatory technique. We explain the reason for variation of optical contrast between imaging…

光学 · 物理学 2022-09-12 Mainak Mondal , Ajit Kumar Dash , Akshay Singh

We derive an asymptotic expansion for the log likelihood of Gaussian mixture models (GMMs) with equal covariance matrices in the low signal-to-noise regime. The expansion reveals an intimate connection between two types of algorithms for…

统计理论 · 数学 2020-06-30 Anya Katsevich , Afonso Bandeira

Oblique images are aerial photographs taken at oblique angles to the earth's surface. Projections of vector and other geospatial data in these images depend on camera parameters, positions of the geospatial entities, surface terrain,…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Pragyana Mishra , Eyal Ofek , Gur Kimchi

Standard contrastive learning approaches usually require a large number of negatives for effective unsupervised learning and often exhibit slow convergence. We suspect this behavior is due to the suboptimal selection of negatives used for…

机器学习 · 计算机科学 2021-12-22 Anshul Shah , Suvrit Sra , Rama Chellappa , Anoop Cherian

Modern cosmological hydrodynamical galaxy simulations provide tens of thousands of reasonably realistic synthetic galaxies across cosmic time. However, quantitatively assessing the level of realism of simulated universes in comparison to…

Coherent ptychographic imaging experiments often discard over 99.9 % of the flux from a light source to define the coherence of an illumination. Even when coherent flux is sufficient, the stability required during an exposure is another…

光学 · 物理学 2019-06-10 Huibin Chang , Pablo Enfedaque , Yifei Lou , Stefano Marchesini

Partial Differential Equation (PDE)-based approaches have gained significant attention in image despeckling due to their strong capability to preserve structural details while suppressing noise. However, conventional second-order PDE models…

计算机视觉与模式识别 · 计算机科学 2026-04-28 Manish Kumar , Rajendra K. Ray

The unknown nature of dark energy motivates continued cosmological tests of large-scale gravitational physics. We present a new consistency check based on the relative amplitude of non-relativistic galaxy peculiar motions, measured via…

(abridged) Vortex coronagraphs are among the most promising solutions to perform high contrast imaging at small angular separations. They feature a very small inner working angle, a clear 360 degree discovery space, have demonstrated very…

We study stochastic convex optimization under infinite noise variance. Specifically, when the stochastic gradient is unbiased and has uniformly bounded $(1+\kappa)$-th moment, for some $\kappa \in (0,1]$, we quantify the convergence rate of…

We introduce a new estimator, CRE-GMM, which exploits the correlated random effects (CRE) approach within the generalised method of moments (GMM), specifically applied to level equations, GMM-lev. It has the advantage of estimating the…

计量经济学 · 经济学 2023-12-14 Maria Elena Bontempi , Jan Ditzen