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Whenever eye movements are measured, a central part of the analysis has to do with where subjects fixate, and why they fixated where they fixated. To a first approximation, a set of fixations can be viewed as a set of points in space: this…

Applications · Statistics 2013-05-23 Simon Barthelmé , Hans Trukenbrod , Ralf Engbert , Felix Wichmann

Understanding cross-subject and cross-device consistency in visual fixation prediction is essential for advancing eye-tracking applications, including visual attention modeling and neuroprosthetics. This study evaluates fixation consistency…

Human-Computer Interaction · Computer Science 2026-02-23 Yuli Wu , Henning Konermann , Emil Mededovic , Peter Walter , Johannes Stegmaier

Stance Detection (StD) aims to detect an author's stance towards a certain topic or claim and has become a key component in applications like fake news detection, claim validation, and argument search. However, while stance is easily…

Computation and Language · Computer Science 2020-01-07 Benjamin Schiller , Johannes Daxenberger , Iryna Gurevych

Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

Multivariate measurements taken at different spatial locations occur frequently in practice. Proper analysis of such data needs to consider not only dependencies on-sight but also dependencies in and in-between variables as a function of…

Methodology · Statistics 2024-04-12 Christoph Muehlmann , Peter Filzmoser , Klaus Nordhausen

Human eye-hand coordination relies on internal forward models that predict future states and compensate for sensory delays. During line tracing, the gaze typically leads the hand through predictive saccades, yet the extent to which this…

Neurons and Cognition · Quantitative Biology 2026-04-08 Emiko Shishido

Spatial-temporal forecasting plays an important role in many real-world applications, such as traffic forecasting, air pollutant forecasting, crowd-flow forecasting, and so on. State-of-the-art spatial-temporal forecasting models take…

Machine Learning · Computer Science 2024-01-22 Xinyu Su , Jianzhong Qi , Egemen Tanin , Yanchuan Chang , Majid Sarvi

Robust state estimation in coupled dynamical systems depends critically not only on sensor quality but on the structural alignment between observation channels and the system's intrinsic dynamics. This paper develops a rigorous framework…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Somasundhar Venkatasubramanian , Anirudh Venkat , Advaidh Venkat

Information in the time distribution of points in a state space reconstructed from observed data yields a test for ``nonstationarity''. Framed in terms of a statistical hypothesis test, this numerical algorithm can discern whether some…

chao-dyn · Physics 2008-02-03 Matthew B. Kennel

An important aspect of modeling spatially-referenced data is appropriately specifying the covariance function of the random field. A practitioner working with spatial data is presented a number of choices regarding the structure of the…

Methodology · Statistics 2015-11-06 Zachary D. Weller , Jennifer A. Hoeting

Stochastic microlensing is a central tool in probing dark matter on galactic scales. From first principles, we initiate the development of a mathematical theory of stochastic microlensing. Beginning with the random time delay function and…

Astrophysics · Physics 2015-05-13 Arlie O. Petters , Brian Rider , Alberto M. Teguia

Spatio-temporal forecasting is essential for real-world applications such as traffic management and urban computing. Although recent methods have shown improved accuracy, they often fail to account for dynamic deviations between current…

Machine Learning · Computer Science 2025-10-07 Haotian Gao , Zheng Dong , Jiawei Yong , Shintaro Fukushima , Kenjiro Taura , Renhe Jiang

We propose an approach to assess the synchronization of rigidly mounted sensors based on their rotational motion. Using function similarity measures combined with a sliding window approach, our approach is capable of estimating time-varying…

Robotics · Computer Science 2024-10-01 Thomas Wodtko , Alexander Scheible , Michael Buchholz

We are interested in understanding stability (almost sure boundedness) of stochastic approximation algorithms (SAs) driven by a `controlled Markov' process. Analyzing this class of algorithms is important, since many reinforcement learning…

Systems and Control · Computer Science 2018-05-18 Arunselvan Ramaswamy , Shalabh Bhatnagar

Time-series imputation benchmarks employ uniform random masking and shape-agnostic metrics (MSE, RMSE), implicitly weighting evaluation by regime prevalence. In systems with a dominant attractor -- homeostatic physiology, nominal industrial…

Machine Learning · Computer Science 2026-02-18 Amirreza Dolatpour Fathkouhi , Alireza Namazi , Heman Shakeri

In applications like environment monitoring and pollution control, physical quantities are modeled by spatio-temporal fields. It is of interest to learn the statistical distribution of such fields as a function of space, time or both. In…

Statistics Theory · Mathematics 2023-11-07 Meera Pai

Context. The best precision that can be achieved to estimate the location of a stellar-like object is a topic of permanent interest in the astrometric community. Aims. We analyse bounds for the best position estimation of a stellar-like…

Instrumentation and Methods for Astrophysics · Physics 2016-10-26 Alex Echeverria , Jorge F. Silva , Rene A. Mendez , Marcos Orchard

We propose a series-based nonparametric specification test for a regression function when data are spatially dependent, the `space' being of a general economic or social nature. Dependence can be parametric, parametric with increasing…

Econometrics · Economics 2022-08-30 Abhimanyu Gupta , Xi Qu

State estimation problems without absolute position measurements routinely arise in navigation of unmanned aerial vehicles, autonomous ground vehicles, etc., whose proper operation relies on accurate state estimates and reliable…

Robotics · Computer Science 2021-03-23 Jianzhu Huai , Yukai Lin , Yuan Zhuang , Min Shi

The presented study is an eye tracking experiment for high-resolution satellite (HRS) images. The reported experiment explores the Area Of Interest (AOI) based analysis of eye fixation data for complex HRS images. The study reflects the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Ashu Sharma , Jayanta Kumar Ghosh , Saptrarshi Kolay