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Ophthalmic surgical robots offer superior stability and precision by reducing the natural hand tremors of human surgeons, enabling delicate operations in confined surgical spaces. Despite the advancements in developing vision- and…

Robotics · Computer Science 2025-07-02 Tinghe Hong , Shenlin Cai , Boyang Li , Kai Huang

This article is devoted to the study of classical and new results concerning equidistant sets, both from the topological and metric point of view. We start with a review of the most interesting known facts about these sets in the euclidean…

Metric Geometry · Mathematics 2012-01-13 Mario Ponce , Patricio Santibáñez

The posterior parietal cortex is believed to direct eye movements, especially in regards to target tracking tasks, and a number of debates exist over the precise nature of the computations performed by the parietal cortex, with each side…

Neural and Evolutionary Computing · Computer Science 2012-10-16 Sacha Sokoloski

We consider a random walker whose motion is tethered around a focal point. We use two models that exhibit the same spatial dependence in the steady state but widely different dynamics. In one case, the walker is subject to a deterministic…

Statistical Mechanics · Physics 2019-01-11 Luca Giuggioli , Shamik Gupta , Matt Chase

We propose a geometric approach for bounding average stopping times for stopped random walks in discrete and continuous time. We consider stopping times in the hyperspace of time indexes and stochastic processes. Our techniques relies on…

Probability · Mathematics 2018-06-26 Xinjia Chen

We present a novel, web-based visual eye-tracking analytics tool called Gazealytics. Our open-source toolkit features a unified combination of gaze analytics features that support flexible exploratory analysis, along with annotation of…

Although visual search appears largely random, several oculomotor biases exist such that the likelihoods of saccade directions and lengths depend on the previous scan path. Compared to the most recent fixations, the impact of the longer…

Neurons and Cognition · Quantitative Biology 2025-10-23 Alex Szorkovszky , Rujeena Mathema , Pedro Lencastre , Pedro Lind , Anis Yazidi

Monocular estimation of 3d human pose has attracted increased attention with the availability of large ground-truth motion capture datasets. However, the diversity of training data available is limited and it is not clear to what extent…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Zhe Wang , Daeyun Shin , Charless C. Fowlkes

We examined eye and head movements to gain insights into skill development in clinical settings. A total of 24 practitioners participated in simulated baby delivery training sessions. We calculated key metrics, including pupillary response…

Human-Computer Interaction · Computer Science 2025-07-24 Kayhan Latifzadeh , Luis A. Leiva , Klen Čopič Pucihar , Matjaž Kljun , Iztok Devetak , Lili Steblovnik

The vast majority of the literature on learning dynamical systems or stochastic processes from time series has focused on stable or ergodic systems, for both Bayesian and frequentist inference procedures. However, most real-world systems…

Machine Learning · Statistics 2025-07-02 Zachary P Adams , Sayan Mukherjee

Eye-tracking plays a crucial role in the development of virtual reality devices, neuroscience research, and psychology. Despite its significance in numerous applications, achieving an accurate, robust, and fast eye-tracking solution remains…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Jiazhang Wang , Tianfu Wang , Bingjie Xu , Oliver Cossairt , Florian Willomitzer

We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this assumption, heterogeneous degree distributions and strong…

Statistical Mechanics · Physics 2010-09-14 Dmitri Krioukov , Fragkiskos Papadopoulos , Maksim Kitsak , Amin Vahdat , Marian Boguna

We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

Statistical Mechanics · Physics 2018-12-20 Keiichi Tamai , Masaki Sano

The word-based account of saccades drawn by a central gravity of the PVL is supported by two pillars of evidences. The first is the finding of the initial fixation location on a word resembled a normal distribution (Rayner, 1979). The other…

Neurons and Cognition · Quantitative Biology 2015-03-19 Yanping Liu , Huan Wei

Human visual attention is a complex phenomenon. A computational modeling of this phenomenon must take into account where people look in order to evaluate which are the salient locations (spatial distribution of the fixations), when they…

Computer Vision and Pattern Recognition · Computer Science 2020-05-08 Dario Zanca , Stefano Melacci , Marco Gori

Post-data statistical inference concerns making probability statements about model parameters conditional on observed data. When a priori knowledge about parameters is available, post-data inference can be conveniently made from Bayesian…

Statistics Theory · Mathematics 2025-06-05 Yang Liu , Jan Hannig , Alexander C Murph

A method is proposed for constraining the Galactic gravitational potential from high precision observations of the phase space coordinates of a system of relaxed tracers. The method relies on an "ergodic" assumption that the observations…

Astrophysics of Galaxies · Physics 2014-11-20 Adi Nusser

In this paper we consider aspects of geometric observability for hypergraphs, extending our earlier work from the uniform to the nonuniform case. Hypergraphs, a generalization of graphs, allow hyperedges to connect multiple nodes and…

Dynamical Systems · Mathematics 2024-04-12 Joshua Pickard , Cooper Stansbury , Amit Surana , Indika Rajapakse , Anthony Bloch

Existing object pose estimation methods commonly require a one-to-one point matching step that forces them to be separated into two consecutive stages: visual correspondence detection (e.g., by matching feature descriptors as part of a…

Robotics · Computer Science 2023-06-02 Onur Beker

Trajectories that capture object movement have numerous applications, in which similarity computation between trajectories often plays a key role. Traditionally, the similarity between two trajectories is quantified by means of heuristic…

Databases · Computer Science 2024-06-13 Yanchuan Chang , Egemen Tanin , Gao Cong , Christian S. Jensen , Jianzhong Qi