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Imagine you walk in a plane. You move by making a step of a certain length per time interval in a chosen direction. Repeating this process by randomly sampling step length and turning angle defines a two-dimensional random walk in what we…

Biological Physics · Physics 2026-01-05 Norberto Lucero Azuara , Rainer Klages

This paper presents eye2vec, an infrastructure for analyzing software developers' eye movements while reading source code. In common eye-tracking studies in program comprehension, researchers must preselect analysis targets such as control…

Software Engineering · Computer Science 2025-10-16 Haruhiko Yoshioka , Kazumasa Shimari , Hidetake Uwano , Kenichi Matsumoto

Eye movements are known to reflect cognitive processes in reading, and psychological reading research has shown that eye gaze patterns differ between readers with and without dyslexia. In recent years, researchers have attempted to classify…

Computation and Language · Computer Science 2022-12-05 Patrick Haller , Andreas Säuberli , Sarah Elisabeth Kiener , Jinger Pan , Ming Yan , Lena Jäger

Internal thought refers to the process of directing attention away from a primary visual task to internal cognitive processing. Internal thought is a pervasive mental activity and closely related to primary task performance. As such,…

Human-Computer Interaction · Computer Science 2019-01-23 Michae Xuelin Huang , Jiajia Li , Grace Ngai , Hong Va Leong , Andreas Bulling

Motivated by applications arising in networked systems, this work examines controlled regime-switching systems that stem from a mean-variance formulation. A main point is that the switching process is a hidden Markov chain. An additional…

Optimization and Control · Mathematics 2014-01-21 Zhixin Yang , George Yin , Qing Zhang

One of the major challenges for evaluating the effectiveness of data visualizations and visual analytics tools arises from the fact that different users may be using these tools for different tasks. In this paper, we present a simple…

Human-Computer Interaction · Computer Science 2020-10-01 Laura Matzen , Kristin Divis , Deborah Cronin , Michael Haass

First-passage properties are central to the kinetics of target-search processes. Theoretical approaches so far primarily focused on predicting first-passage statistics for a given process or model. In practice, however, one faces the…

Statistical Mechanics · Physics 2025-01-08 Rick Bebon , Aljaz Godec

Algorithms for the estimation of gaze direction from mobile and video-based eye trackers typically involve tracking a feature of the eye that moves through the eye camera image in a way that covaries with the shifting gaze direction, such…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Kevin Barkevich , Reynold Bailey , Gabriel J. Diaz

We develop a theory for the temporal integration of visual motion motivated by psychophysical experiments. The theory proposes that input data are temporally grouped and used to predict and estimate the motion flows in the image sequence.…

Computer Vision and Pattern Recognition · Computer Science 2012-01-06 Pierre-Yves Burgi , Alan L. Yuille , Norberto M. Grzywacz

The segmentation of a gaze trace into its constituent eye movements has been actively researched since the early days of eye tracking. As we move towards more naturalistic viewing conditions, the segmentation becomes even more challenging…

Multimedia · Computer Science 2019-12-11 Ioannis Agtzidis , Mikhail Startsev , Michael Dorr

Attention mechanisms represent a fundamental paradigm shift in neural network architectures, enabling models to selectively focus on relevant portions of input sequences through learned weighting functions. This monograph provides a…

Machine Learning · Computer Science 2026-01-08 Hasi Hays

This paper considers a scenario of pursuing a moving target that may switch behaviors due to external factors in a dynamic environment by motion estimation using visual sensors. First, we present an improved Visual Motion Observer with…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Marco Omainska , Junya Yamauchi , Masayuki Fujita

Mistake analysis in procedural activities is a critical area of research with applications spanning industrial automation, physical rehabilitation, education and human-robot collaboration. This paper reviews vision-based methods for…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Konstantinos Bacharidis , Antonis A. Argyros

This survey paper is written with the intention of giving a mathematical introduction to filtering techniques for intermittent data assimilation, and to survey some recent advances in the field. The paper is divided into three parts. The…

Numerical Analysis · Mathematics 2012-09-03 Colin J. Cotter , Sebastian Reich

We present a novel computational model employing hierarchical active inference to simulate reading and eye movements. The model characterizes linguistic processing as inference over a hierarchical generative model, facilitating predictions…

Neurons and Cognition · Quantitative Biology 2025-08-11 Francesco Donnarumma , Mirco Frosolone , Giovanni Pezzulo

This study in centered on models accounting for stochastic deformations of sample paths of random walks, embedded either in $\mathbb{Z}^2$ or in $\mathbb{Z}^3$. These models are immersed in multi-type particle systems with exclusion.…

Statistical Mechanics · Physics 2007-05-23 Guy Fayolle , Cyril Furtlehner

Multi-state models are frequently applied for representing processes evolving through a discrete set of state. Important classes of multi-state models arise when transitions between states may depend on the time since entry into the current…

Methodology · Statistics 2022-02-28 Rosario Barone , Andrea Tancredi

Eye gaze, encompassing fixations and saccades, provides critical insights into human intentions and future actions. This study introduces a gaze-regularized framework that enhances Vision Language Models (VLMs) for egocentric behavior…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Anupam Pani , Yanchao Yang

Point and interval estimation of future disability inception and recovery rates are predominantly carried out by combining generalized linear models (GLM) with time series forecasting techniques into a two-step method involving parameter…

Applications · Statistics 2014-12-24 Boualem Djehiche , Björn Löfdahl

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker
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