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Answering exact shortest path distance queries is a fundamental task in graph theory. Despite a tremendous amount of research on the subject, there is still no satisfactory solution that can scale to billion-scale complex networks.…

Data Structures and Algorithms · Computer Science 2021-02-18 Muhammad Farhan , Qing Wang , Yu Lin , Brendan Mckay

Attributes act as intermediate representations that enable parameter sharing between classes, a must when training data is scarce. We propose to view attribute-based image classification as a label-embedding problem: each class is embedded…

Computer Vision and Pattern Recognition · Computer Science 2016-10-05 Zeynep Akata , Florent Perronnin , Zaid Harchaoui , Cordelia Schmid

We present a combinatorial approach to rigorously show the existence of fixed points, periodic orbits, and symbolic dynamics in discrete-time dynamical systems, as well as to find numerical approximations of such objects. Our approach…

Dynamical Systems · Mathematics 2017-06-28 Marian Gidea , Yitzchak Shmalo

Partial label learning deals with the problem where each training instance is assigned a set of candidate labels, only one of which is correct. This paper provides the first attempt to leverage the idea of self-training for dealing with…

Machine Learning · Computer Science 2019-02-11 Lei Feng , Bo An

In the context of changing travel behaviors and the expanding user base of Geographic Information System (GIS) services, conventional centralized architectures responsible for handling shortest distance queries are facing increasing…

Databases · Computer Science 2024-03-19 Xiubo Zhang , Yujie He , Ye Li , Yan Li , Zijie Zhou , Dongyao Wei , Ryan

Classification is a major tool of statistics and machine learning. A classification method first processes a training set of objects with given classes (labels), with the goal of afterward assigning new objects to one of these classes. When…

Machine Learning · Statistics 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw , Mia Hubert

Segmentation of objects of interest is one of the central tasks in medical image analysis, which is indispensable for quantitative analysis. When developing machine-learning based methods for automated segmentation, manual annotations are…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Hang Li , Dong Wei , Shilei Cao , Kai Ma , Liansheng Wang , Yefeng Zheng

Edge bundling reduces the visual clutter in a drawing of a graph by uniting the edges into bundles. We propose a method of edge bundling drawing each edge of a bundle separately as in metro-maps and call our method ordered bundles. To…

Computational Geometry · Computer Science 2012-09-20 Sergey Bereg , Alexander E. Holroyd , Lev Nachmanson , Sergey Pupyrev

Rotation detection serves as a fundamental building block in many visual applications involving aerial image, scene text, and face etc. Differing from the dominant regression-based approaches for orientation estimation, this paper explores…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Xue Yang , Liping Hou , Yue Zhou , Wentao Wang , Junchi Yan

We introduce the concept of boundariness capturing the most efficient way of expressing a given element of a convex set as a probability mixture of its boundary elements. In other words, this number measures (without the need of any…

Quantum Physics · Physics 2014-09-01 Erkka Haapasalo , Michal Sedlak , Mario Ziman

A distance labeling scheme is an assignment of bit-labels to the vertices of an undirected, unweighted graph such that the distance between any pair of vertices can be decoded solely from their labels. An important class of distance…

Data Structures and Algorithms · Computer Science 2019-06-25 Adrian Kosowski , Przemysław Uznański , Laurent Viennot

Label ranking is a prediction task which deals with learning a mapping between an instance and a ranking (i.e., order) of labels from a finite set, representing their relevance to the instance. Boosting is a well-known and reliable ensemble…

Machine Learning · Computer Science 2020-09-24 Lihi Dery , Erez Shmueli

A connected component labeling algorithm is developed for implicitly-defined domains specified by multivariate polynomials. The algorithm operates by recursively subdividing the constraint domain into hyperrectangular subcells until the…

Numerical Analysis · Mathematics 2022-11-29 Robert I. Saye

Border bases arise as a canonical generalization of Gr\"obner bases. We provide a polyhedral characterization of all order ideals (and hence border bases) that are supported by a zero-dimensional ideal: order ideals that support a border…

Commutative Algebra · Mathematics 2016-10-26 Gábor Braun , Sebastian Pokutta

Three types of geometric structure---grid triangulations, rectangular subdivisions, and orthogonal polyhedra---can each be described combinatorially by a regular labeling: an assignment of colors and orientations to the edges of an…

Computational Geometry · Computer Science 2010-07-02 David Eppstein

Complementary-label learning is a weakly supervised learning problem in which each training example is associated with one or multiple complementary labels indicating the classes to which it does not belong. Existing consistent approaches…

Machine Learning · Computer Science 2024-10-14 Wei Wang , Takashi Ishida , Yu-Jie Zhang , Gang Niu , Masashi Sugiyama

We consider how to assign labels to any undirected graph with n nodes such that, given the labels of two nodes and no other information regarding the graph, it is possible to determine the distance between the two nodes. The challenge in…

Data Structures and Algorithms · Computer Science 2015-04-20 Stephen Alstrup , Cyril Gavoille , Esben Bistrup Halvorsen , Holger Petersen

Scene labeling task is to segment the image into meaningful regions and categorize them into classes of objects which comprised the image. Commonly used methods typically find the local features for each segment and label them using…

Computer Vision and Pattern Recognition · Computer Science 2016-08-19 Nasim Souly , Mubarak Shah

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

Data Structures and Algorithms · Computer Science 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

In this paper, we propose an efficient clustering technique to solve the problem of clustering in the presence of obstacles. The proposed algorithm divides the spatial area into rectangular cells. Each cell is associated with statistical…

Databases · Computer Science 2009-09-25 Mohamed E. El-Sharkawi , Mohamed A. El-Zawawy