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We consider a Bayesian hierarchical version of the normal theory general linear model which is practically relevant in the sense that it is general enough to have many applications and it is not straightforward to sample directly from the…

统计计算 · 统计学 2010-01-22 Alicia A. Johnson , Galin L. Jones

After having investigated the real conic sections and their isoptic curves in the hyperbolic plane $\bH^2$ we consider the problem of the isoptic curves of generalized conic sections in the extended hyperbolic plane. This topic is widely…

度量几何 · 数学 2015-04-27 Géza Csima , Jenő Szirmai

In image analysis one often encounters spherical images, for instance in retinal imaging. The behavior of the vessels in the retina is an indicator of several diseases. To automate disease diagnosis using retinal images, it is necessary to…

Quantifying and comparing patterns of dynamical ecological systems require averaging over measurable quantities. For example, to infer variation in movement and behavior, metrics such as step length and velocity are averaged over large…

种群与进化 · 定量生物学 2022-05-24 Ohad Vilk , Yotam Orchan , Motti Charter , Nadav Ganot , Sivan Toledo , Ran Nathan , Michael Assaf

This manuscript presents GazeBase, a large-scale longitudinal dataset containing 12,334 monocular eye-movement recordings captured from 322 college-aged subjects. Subjects completed a battery of seven tasks in two contiguous sessions during…

人机交互 · 计算机科学 2020-09-18 Henry Griffith , Dillon Lohr , Evgeny Abdulin , Oleg Komogortsev

Traditional approaches to measuring visual exploratory behavior in soccer rely on counting visual exploratory actions (VEAs) based on rapid head movements exceeding 125{\deg}/s, but this method suffer from player position bias (i.e., a…

机器学习 · 计算机科学 2026-02-24 Joris Bekkers

Finding objects is essential for almost any daily-life visual task. Saliency models have been useful to predict fixation locations in natural images, but are static, i.e., they provide no information about the time-sequence of fixations.…

人工智能 · 计算机科学 2020-12-09 M. Sclar , G. Bujia , S. Vita , G. Solovey , J. E. Kamienkowski

Euclidean distance geometry is the study of Euclidean geometry based on the concept of distance. This is useful in several applications where the input data consists of an incomplete set of distances, and the output is a set of points in…

定量方法 · 定量生物学 2012-05-03 Leo Liberti , Carlile Lavor , Nelson Maculan , Antonio Mucherino

Research studies have shown that a large proportion of hazards remain unrecognized, which expose construction workers to unanticipated safety risks. Recent studies have also found that a strong correlation exists between viewing patterns of…

计算机视觉与模式识别 · 计算机科学 2019-02-05 Idris Jeelani , Khashayar Asadi , Hariharan Ramshankar , Kevin Han , Alex Albert

This paper revisits the problems of estimating the position of an object moving in $n$ ($\geq 2$)-dimensional Euclidean space using velocity measurements and either direction or range measurements of one or multiple source points. The…

系统与控制 · 计算机科学 2016-07-28 Tarek Hamel , Claude Samson

This paper proposes a set of techniques to investigate eye gaze and fixation patterns while users interact with electronic user interfaces. In particular, two case studies are presented - one on analysing eye gaze while interacting with…

人机交互 · 计算机科学 2021-01-05 Somnath Arjun , KamalPreet Singh Saluja , Pradipta Biswas

We present a novel approach for determining learners' second language proficiency which utilizes behavioral traces of eye movements during reading. Our approach provides stand-alone eyetracking based English proficiency scores which reflect…

计算与语言 · 计算机科学 2018-04-25 Yevgeni Berzak , Boris Katz , Roger Levy

The paper analyses properties of a large class of "path-based" Data Envelopment Analysis models through a unifying general scheme. The scheme includes the well-known oriented radial models, the hyperbolic distance function model, the…

最优化与控制 · 数学 2023-08-22 Margaréta Halická , Mária Trnovská , Aleš Černý

Empirical fixation densities, spatial distributions estimated from human eye-tracking data, are foundational to saliency benchmarking. They directly shape benchmark conclusions, leaderboard rankings, failure case analyses, and scientific…

计算机视觉与模式识别 · 计算机科学 2026-05-06 Susmit Agrawal , Jannis Hollman , Matthias Kümmerer

We present an analytical means of quantifying the fractional accumulation of geometric phase for an optical vortex transiting a cylindrical lens. The standard fiber bundle of a Sphere of Modes is endowed with a Supplementary Product Space…

光学 · 物理学 2022-05-24 Mark T. Lusk , Andrew A. Voitiv , Chuanzhou Zhu , Mark E. Siemens

Modelling of precipitation, including extremes, is important for hydrological and agricultural applications. Traditionally, because of large sample properties for data over a large threshold value, generalised Pareto (GP) distributions are…

应用统计 · 统计学 2014-11-11 Yang Liu , Philip Kokic , K. Shuvo Bakar

The paper is devoted to the development of the differential geometry of saccades and saccadic cycles. We recall an interpretation of Donder's and Listing's law in terms of the Hopf fibration of the $3$-sphere over the $2$-sphere. In…

神经元与认知 · 定量生物学 2023-06-28 D. V. Alekseevsky , I. M. Shirokov

In this paper, we consider the problem of tracking the eye-gaze of individuals while they engage in reading. Particularly, we develop ways to accurately track the line being read by an individual using commercially available eye tracking…

人机交互 · 计算机科学 2019-02-12 Stephen Bottos , Balakumar Balasingam

The starting point of this work is the principle that all movement of particles and photons in the observable Universe must follow geodesics of a 4-dimensional space where time intervals are always a measure of geodesic arc lengths, i.e.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jose B. Almeida

Time delays between lensed multiple images have been known to provide an interesting probe of the Hubble constant, but such application is often limited by degeneracies with the shape of lens potentials. We propose a new statistical…

天体物理学 · 物理学 2008-11-26 Masamune Oguri