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We introduce a compressed data structure for the storage of free trajectories of moving objects (such as ships and planes) that efficiently supports various spatio-temporal queries. Our structure, dubbed GraCT, stores the absolute positions…

Data Structures and Algorithms · Computer Science 2019-11-12 Nieves R. Brisaboa , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

Many real world data sets exhibit an embedding of low-dimensional structure in a high-dimensional manifold. Examples include images, videos and internet traffic data. It is of great significance to reduce the storage requirements and…

Methodology · Statistics 2015-06-05 Yuejie Chi , Yonina C. Eldar , Robert Calderbank

We present a novel formulation of the multiple object tracking problem which integrates low and mid-level features. In particular, we formulate the tracking problem as a quadratic program coupling detections and dense point trajectories.…

Computer Vision and Pattern Recognition · Computer Science 2016-07-26 Roberto Henschel , Laura Leal-Taixé , Bodo Rosenhahn , Konrad Schindler

Applications in many domains require processing moving object trajectories. In this work, we focus on a trajectory similarity search that finds all trajectories within a given distance of a query trajectory over a time interval, which we…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-13 Michael Gowanlock , Henri Casanova

We present a novel clustering approach for moving object trajectories that are constrained by an underlying road network. The approach builds a similarity graph based on these trajectories then uses modularity-optimization hiearchical graph…

Machine Learning · Statistics 2012-10-08 Mohamed Khalil El Mahrsi , Fabrice Rossi

We consider succinct data structures for representing a set of $n$ horizontal line segments in the plane given in rank space to support \emph{segment access}, \emph{segment selection}, and \emph{segment rank} queries. A segment access query…

Data Structures and Algorithms · Computer Science 2024-12-09 Philip Bille , Inge Li Gørtz , Simon R. Tarnow

This work seeks to tackle the inherent complexity of dataspaces by introducing a novel data structure that can represent datasets across multiple levels of abstraction, ranging from local to global. We propose the concept of a multilevel…

Data Structures and Algorithms · Computer Science 2025-04-01 Marco Caputo , Michele Russo , Emanuela Merelli

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

Machine Learning · Statistics 2014-10-14 Talayeh Razzaghi , Ilya Safro

Multilayer networks describe well many real interconnected communication and transportation systems, ranging from computer networks to multimodal mobility infrastructures. Here, we introduce a model in which the nodes have a limited…

Physics and Society · Physics 2018-02-22 Sabato Manfredi , Edmondo Di Tucci , Vito Latora

In recent years, there has been remarkable progress in supervised image segmentation. Video segmentation is less explored, despite the temporal dimension being highly informative. Semantic labels, e.g. that cannot be accurately detected in…

Computer Vision and Pattern Recognition · Computer Science 2019-08-30 Radu Sibechi , Olaf Booij , Nora Baka , Peter Bloem

We consider the problem of designing a smooth trajectory that traverses a sequence of convex sets in minimum time, while satisfying given velocity and acceleration constraints. This problem is naturally formulated as a nonconvex program. To…

Robotics · Computer Science 2025-04-29 Tobia Marcucci , Mathew Halm , Will Yang , Dongchan Lee , Andrew D. Marchese

We study the problem of quickly computing point-to-point shortest paths in massive road networks with traffic predictions. Incorporating traffic predictions into routing allows, for example, to avoid commuter traffic congestions. Existing…

Data Structures and Algorithms · Computer Science 2021-03-29 Ben Strasser , Dorothea Wagner , Tim Zeitz

We design and analyze a novel accelerated gradient-based algorithm for a class of bilevel optimization problems. These problems have various applications arising from machine learning and image processing, where optimal solutions of the two…

Optimization and Control · Mathematics 2023-11-20 Sepideh Samadi , Daniel Burbano , Farzad Yousefian

We provide a visual and intuitive introduction to effectively calculating in 2-groups along with explicit examples coming from non-abelian 1- and 2-form gauge theory. In particular, we utilize string diagrams, tools similar to tensor…

High Energy Physics - Theory · Physics 2019-05-22 Arthur J. Parzygnat

Predicting human motion in unstructured and dynamic environments is difficult as humans naturally exhibit complex behaviors that can change drastically from one environment to the next. In order to alleviate this issue, we propose to encode…

Robotics · Computer Science 2019-07-01 Philipp Kratzer , Marc Toussaint , Jim Mainprice

General object detectors use powerful backbones that uniformly extract features from images for enabling detection of a vast amount of object types. However, utilization of such backbones in object detection applications developed for…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Alexandra Dana , Maor Shutman , Yotam Perlitz , Ran Vitek , Tomer Peleg , Roy J Jevnisek

Finding trajectories and discovering motifs that are similar in large datasets is a central problem for a wide range of applications. Solutions addressing this problem usually rely on spatial indexing and on the computation of a similarity…

Data Structures and Algorithms · Computer Science 2018-03-13 Bertil Chapuis , Benoit Garbinato

User trajectory data is becoming increasingly accessible due to the prevalence of GPS-equipped devices such as smartphones. Many existing studies focus on querying trajectories that are similar to each other in their entirety. We observe…

Databases · Computer Science 2021-09-21 Yanchuan Chang , Jianzhong Qi , Egemen Tanin , Xingjun Ma , Hanan Samet

Given a set of points in the plane, we want to establish a connection network between these points that consists of several disjoint layers. Motivated by sensor networks, we want that each layer is spanning and plane, and that no edge is…

Given a conjunctive query and a database instance, we aim to develop an index that can efficiently answer spatial queries on the results of a conjunctive query. We are interested in some commonly used spatial queries, such as range…

Databases · Computer Science 2025-09-15 Aryan Esmailpour , Xiao Hu , Stavros Sintos