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Interpolating and Using Most Likely Trajectories in Moving-Objects Databases

by Byunggu Yu, Seon Ho Kim
"... Abstract. In recent years, many emerging database applications deal with large sets of continuously moving data objects. Since no computer system can commit continuously occurring infinitesimal changes to the database, related data management techniques view a moving object’s trajectory as a sequenc ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
sequence of discretely reported spatiotemporal points. For each pair of consecutive committed trajectory points, a spatiotemporal uncertainty region representing all possible in-between trajectory points is defined. To support trajectory queries with a non-uniform probability distribution model, the query

Laplacian eigenmaps and spectral techniques for embedding and clustering.

by Mikhail Belkin , Partha Niyogi - Proceeding of Neural Information Processing Systems, , 2001
"... Abstract Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami op erator on a manifold , and the connections to the heat equation , we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded in ..."
Abstract - Cited by 668 (7 self) - Add to MetaCart
Abstract Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami op erator on a manifold , and the connections to the heat equation , we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded

Trajectory Sampling for Direct Traffic Observation

by N. G. Duffield, M. Grossglauser , 2001
"... Traffic measurement is a critical component for the control and engineering of communication networks. We argue that traffic measurement should make it possible to obtain the spatial flow of traffic through the domain, i.e., the paths followed by packets between any ingress and egress point of the d ..."
Abstract - Cited by 248 (30 self) - Add to MetaCart
Traffic measurement is a critical component for the control and engineering of communication networks. We argue that traffic measurement should make it possible to obtain the spatial flow of traffic through the domain, i.e., the paths followed by packets between any ingress and egress point

Beyond Fitts’ law: Models for trajectory-based HCI tasks.

by Johnny Accot , Shumin Zhai - In Proc. of CHI’97, , 1997
"... ABSTRACT Trajectory-based interactions, such as navigating through nested-menus, drawing curves, and moving in 3D worlds, are becoming common tasks in modern computer interfaces. Users' performances in these tasks cannot be successfully modeled with Fitts' law as it has been applied to po ..."
Abstract - Cited by 232 (18 self) - Add to MetaCart
to pointing tasks. Therefore we explore the possible existence of robust regularities in trajectory-based tasks. We used "steering through tunnels" as our experimental paradigm to represent such tasks, and found that a simple "steering law" indeed exists. The paper presents the motivation

A Paraperspective Factorization Method for Shape and Motion Recovery

by Conrad J. Poelman, Takeo Kanade , 1997
"... The factorization method, first developed by Tomasi and Kanade, recovers both the shape of an object and its motion from a sequence of images, using many images and tracking many feature points to obtain highly redundant feature position information. The method robustly processes the feature traject ..."
Abstract - Cited by 292 (13 self) - Add to MetaCart
The factorization method, first developed by Tomasi and Kanade, recovers both the shape of an object and its motion from a sequence of images, using many images and tracking many feature points to obtain highly redundant feature position information. The method robustly processes the feature

Geometric Flows in Grids: Static, Dynamic, and In-Between

by Joseph S. B. Mitchell, Anne Pääkkö, Valentin Polishchuk
"... We designed and implemented efficient algorithms for finding trajectories for moving multiple disks among a set of static or dynamic obstacles. We are motivated by the problem in air traffic management of routing aircraft among hazardous weather cells. We consider three path routing paradigms: Stati ..."
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We designed and implemented efficient algorithms for finding trajectories for moving multiple disks among a set of static or dynamic obstacles. We are motivated by the problem in air traffic management of routing aircraft among hazardous weather cells. We consider three path routing paradigms

Application of hierarchical linear models to assessing change.

by Anthony S Bryk , Stephen W Raudenbush - Psychological Bulletin, , 1987
"... Recent advances in the statistical theory of hierarchical linear models should enable important breakthroughs in the measurement of psychological change and the study of correlates of change. A two-stage model of change is proposed here. At the first, or within-subject stage, an individual's s ..."
Abstract - Cited by 207 (5 self) - Add to MetaCart
's status on some trait is modeled as a function of an individual growth trajectory plus random error. At the second, or between-subjects stage, the parameters of the individual growth trajectories vary as a function of differences between subjects in background characteristics, instructional experiences

Centrality and Network Flow

by Stephen P. Borgatti
"... Centrality measures, or at least our interpretations of these measures, make implicit assumptions about the manner in which things flow through a network. For example, some measures count only geodesic paths, apparently assuming that whatever flows through the network only moves along the shortest p ..."
Abstract - Cited by 177 (4 self) - Add to MetaCart
possible paths. This paper lays out a typology of network flows based on two dimensions of variation, namely, the kinds of trajectories that traffic may follow (geodesics, paths, trails or walks), and the method of spread (broadcast, serial replication, or transfer). Measures of centrality are then matched

Self-determination and persistence in a real-life setting: Toward a motivational model of high school dropout.

by Robert J Vallerand , Michelle S Fbrtier , Frederic Guay - Journal of Personality and Social Psychology, , 1997
"... The purpose of this study was to propose and test a motivational model of high school dropout. The model posits that teachers, parents, and the school administration's behaviors toward students influence students' perceptions of competence and autonomy. The less autonomy supportive the so ..."
Abstract - Cited by 183 (19 self) - Add to MetaCart
-efficacy theory Much less research has focused on the link between perceptions of autonomy and motivation. A second, related point deals with the relative impact of social-context-engendered perceptions of competence and autonomy on motivation. On one hand, theorists such as Bandura (1986) suggested

The Breakdown of KAM Trajectories

by T Bell Laboraiories, Bthe James Franck Insrirure
"... Hamiltonian systems with two degrees of freedom, for example, two coupled oscillators, are the simplest class of conservative systems that may exhibit a nontrivial dynamics. In this introduction, we briefly review the phenomenology associated with that class of systems. If the coupling between the t ..."
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, the sequence {On} never repeats, but the points 0, fill out a curve r. If the coupling between the two oscillators is nonlinear, the system is in general nonintegrable. According to the Poincar&Birkhoff theorem? only two cyclic orbits remain for every rational winding number (Q- p / q) : an elliptic orbit
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