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We consider a discrete-time process adapted to some filtration which lives on a (typically countable) subset of $\mathbb{R}^d$, $d\geq 2$. For this process, we assume that it has uniformly bounded jumps, is uniformly elliptic (can advance…

Probability · Mathematics 2014-04-28 Mikhail Menshikov , Serguei Popov

While a plethora of hypertext links exist on the Web, only a small amount of them are regularly clicked. Starting from this observation, we set out to study large-scale click data from Wikipedia in order to understand what makes a link…

Social and Information Networks · Computer Science 2017-02-21 Dimitar Dimitrov , Philipp Singer , Florian Lemmerich , Markus Strohmaier

Dynamic Pushdown Networks (DPNs) are a model for multithreaded programs with recursion and dynamic creation of threads. In this paper, we propose a temporal logic called NTL for reasoning about the call- and return- as well as thread…

Logic in Computer Science · Computer Science 2023-10-31 Roman Lakenbrink , Markus Müller-Olm , Christoph Ohrem , Jens Gutsfeld

Human mobility patterns are complex and distinct from one person to another. Nevertheless, motivated by tremendous potential benefits of modeling such patterns in enabling new mobile services and technologies, researchers have attempted to…

Networking and Internet Architecture · Computer Science 2013-07-09 Seyed Kaveh Fayazbakhsh

A graph is a structure composed of a set of vertices (i.e.nodes, dots) connected to one another by a set of edges (i.e.links, lines). The concept of a graph has been around since the late 19$^\text{th}$ century, however, only in recent…

Data Structures and Algorithms · Computer Science 2010-12-24 Marko A. Rodriguez , Peter Neubauer

This research considers Bayesian decision-analytic approaches toward the traversal of an uncertain graph. Namely, a traveler progresses over a graph in which rewards are gained upon a node's first visit and costs are incurred for every edge…

Artificial Intelligence · Computer Science 2025-03-11 William N. Caballero , Phillip R. Jenkins , David Banks , Matthew Robbins

The relevance between a query and a document in search can be represented as matching degree between the two objects. Latent space models have been proven to be effective for the task, which are often trained with click-through data. One…

Information Retrieval · Computer Science 2016-04-22 Shuxin Wang , Xin Jiang , Hang Li , Jun Xu , Bin Wang

Navigation is one of the most heavily studied problems in robotics, and is conventionally approached as a geometric mapping and planning problem. However, real-world navigation presents a complex set of physical challenges that defies…

Robotics · Computer Science 2022-12-14 Sergey Levine , Dhruv Shah

Complex networks are formal frameworks capturing the interdependencies between the elements of large systems and databases. This formalism allows to use network navigation methods to rank the importance that each constituent has on the…

Quantum Physics · Physics 2012-09-07 Eduardo Sánchez-Burillo , Jordi Duch , Jesús Gómez-Gardenes , David Zueco

Traditional network models encapsulate travel behavior among all origin-destination pairs based on a simplified and generic utility function. Typically, the utility function consists of travel time solely and its coefficients are equated to…

Applications · Statistics 2022-04-26 Pablo Guarda , Sean Qian

A focused crawler traverses the web selecting out relevant pages to a predefined topic and neglecting those out of concern. While surfing the internet it is difficult to deal with irrelevant pages and to predict which links lead to quality…

Information Retrieval · Computer Science 2009-06-30 Anshika Pal , Deepak Singh Tomar , S. C. Shrivastava

We study an unbiased, discrete time random walk on the nonnegative integers, with the origin absorbing. The process has a history-dependent step length: the walker takes steps of length v while in a region which has been visited before, and…

Statistical Mechanics · Physics 2012-08-27 Ronald Dickman , Francisco Fontenele Araujo, , Daniel ben-Avraham

This paper establishes the continuity of the path delay operators for dynamic network loading (DNL) problems based on the Lighthill-Whitham-Richards model, which explicitly capture vehicle spillback. The DNL describes and predicts the…

Analysis of PDEs · Mathematics 2016-03-25 Ke Han , Benedetto Piccoli , Terry L. Friesz

Semantic representations can be framed as a structured, dynamic knowledge space through which humans navigate to retrieve and manipulate meaning. To investigate how humans traverse this geometry, we introduce a framework that represents…

Computation and Language · Computer Science 2026-04-15 Felipe D. Toro-Hernández , Jesuino Vieira Filho , Rodrigo M. Cabral-Carvalho

A large amount of data on the WWW remains inaccessible to crawlers of Web search engines because it can only be exposed on demand as users fill out and submit forms. The Hidden web refers to the collection of Web data which can be accessed…

Information Retrieval · Computer Science 2014-07-23 Sonali Gupta , Komal Kumar Bhatia

Web accessibility is actually the most important aspect for providing access to information and interaction for people with disabilities. However, it seems that the ability of users with disabilities to navigate over the Web is not…

Human-Computer Interaction · Computer Science 2013-07-22 Abdelhakim Herrouz , Chabane Khentout , Mahieddine Djoudi

We study a random walk on $\mathbb{Z}$ which evolves in a dynamic environment determined by its own trajectory. Sites flip back and forth between two modes, $p$ and $q$. $R$ consecutive right jumps from a site in the $q$-mode are required…

Probability · Mathematics 2015-03-05 Ross G. Pinsky , Nicholas F. Travers

How does the small-scale topological structure of an airline network behave as the network evolves? To address this question, we study the dynamic properties of small undirected subgraphs using 15 years of data on Southwest Airlines'…

Social and Information Networks · Computer Science 2020-10-28 Marius Agasse-Duval , Steve Lawford

Learning to navigate unknown environments from scratch is a challenging problem. This work presents a system that integrates world models with curiosity-driven exploration for autonomous navigation in new environments. We evaluate…

Robotics · Computer Science 2023-09-19 Daria de Tinguy , Sven Remmery , Pietro Mazzaglia , Tim Verbelen , Bart Dhoedt

Can an autonomous agent navigate in a new environment without building an explicit map? For the task of PointGoal navigation ('Go to $\Delta x$, $\Delta y$') under idealized settings (no RGB-D and actuation noise, perfect GPS+Compass), the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-08 Ruslan Partsey , Erik Wijmans , Naoki Yokoyama , Oles Dobosevych , Dhruv Batra , Oleksandr Maksymets