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Extreme multi-label learning (XML) or classification has been a practical and important problem since the boom of big data. The main challenge lies in the exponential label space which involves $2^L$ possible label sets especially when the…

Machine Learning · Computer Science 2018-06-11 Wenjie Zhang , Junchi Yan , Xiangfeng Wang , Hongyuan Zha

We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n vertices and k crossings, where k is smaller than n by an…

Computational Geometry · Computer Science 2010-12-16 David Eppstein , Michael T. Goodrich , Darren Strash

Given a directed, discrete-time temporal graph $G=(V,R)$, a start node $s\in V$, and $p\geq1$ objectives, the single-source multiobjective temporal shortest path problem asks, for each $v\in V$, for the set of nondominated images of…

Data Structures and Algorithms · Computer Science 2026-05-08 Edina Marica , Clemens Thielen , Alina Wittmann

Given a connected, undirected graph whose edges are labelled (or coloured), the minimum labelling spanning tree (MLST) problem seeks a spanning tree whose edges have the smallest number of distinct labels (or colours). In recent work, the…

Optimization and Control · Mathematics 2014-03-05 Sergio Consoli , Nenad Mladenovic , Jose Andres Moreno-Perez

Label Ranking (LR) corresponds to the problem of learning a hypothesis that maps features to rankings over a finite set of labels. We adopt a nonparametric regression approach to LR and obtain theoretical performance guarantees for this…

Machine Learning · Computer Science 2022-02-11 Dimitris Fotakis , Alkis Kalavasis , Eleni Psaroudaki

Distributing spatially located heterogeneous workloads is an important problem in parallel scientific computing. We investigate the problem of partitioning such workloads (represented as a matrix of non-negative integers) into rectangles,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-14 Erik Saule , Erdeniz Ö. Baş , Ümit V. Çatalyürek

The labeling of point features on a map is a well-studied topic. In a static setting, the goal is to find a non-overlapping label placement for (a subset of) point features. In a dynamic setting, the set of point features and their…

Computational Geometry · Computer Science 2026-03-02 Thomas Depian , Guangping Li , Martin Nöllenburg , Jules Wulms

Multilabel classification is a relatively recent subfield of machine learning. Unlike to the classical approach, where instances are labeled with only one category, in multilabel classification, an arbitrary number of categories is chosen…

Artificial Intelligence · Computer Science 2013-03-01 Alfonso E. Romero , Luis M. de Campos

In recent years, deep neural network is widely used in machine learning. The multi-class classification problem is a class of important problem in machine learning. However, in order to solve those types of multi-class classification…

Machine Learning · Computer Science 2018-06-08 Qizhi Zhang , Kuang-Chih Lee , Hongying Bao , Yuan You , Wenjie Li , Dongbai Guo

Here we study the problem of learning labels for large text corpora where each text can be assigned a variable number of labels. The problem might seem trivial when the label dimensionality is small and can be easily solved using a series…

Machine Learning · Computer Science 2016-11-02 Sayantan Dasgupta

Exploiting label correlations is important to multi-label classification. Previous methods capture the high-order label correlations mainly by transforming the label matrix to a latent label space with low-rank matrix factorization.…

Machine Learning · Computer Science 2023-11-07 Chongjie Si , Yuheng Jia , Ran Wang , Min-Ling Zhang , Yanghe Feng , Chongxiao Qu

In the realm of unsupervised image outlier detection, assigning outlier scores holds greater significance than its subsequent task: thresholding for predicting labels. This is because determining the optimal threshold on non-separable…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Zhonghang Liu , Panzhong Lu , Guoyang Xie , Zhichao Lu , Wen-Yan Lin

A routing labeling scheme assigns a binary string, called a label, to each node in a network, and chooses a distinct port number from $\{1,\ldots,d\}$ for every edge outgoing from a node of degree $d$. Then, given the labels of $u$ and $w$…

Data Structures and Algorithms · Computer Science 2020-03-17 Paweł Gawrychowski , Wojciech Janczewski , Jakub Łopuszański

We present a complete classification of the deterministic distributed time complexity for a family of graph problems: binary labeling problems in trees. These are locally checkable problems that can be encoded with an alphabet of size two…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-19 Alkida Balliu , Sebastian Brandt , Yuval Efron , Juho Hirvonen , Yannic Maus , Dennis Olivetti , Jukka Suomela

With the rapid development of Deep Neural Networks (DNNs), they have been applied in numerous fields. However, research indicates that DNNs are susceptible to adversarial examples, and this is equally true in the multi-label domain. To…

Artificial Intelligence · Computer Science 2024-09-27 Yujiang Liu , Wenjian Luo , Zhijian Chen , Muhammad Luqman Naseem

Label placement in maps is a very challenging task that is critical for the overall map quality. Most previous work focused on designing and implementing fully automatic solutions, but the resulting visual and aesthetic quality has not…

Computational Geometry · Computer Science 2019-10-22 Fabian Klute , Guangping Li , Raphael Löffler , Martin Nöllenburg , Manuela Schmidt

We consider the problem of finding minimum-link rectilinear paths in rectilinear polygonal domains in the plane. A path or a polygon is rectilinear if all its edges are axis-parallel. Given a set $\mathcal{P}$ of $h$ pairwise-disjoint…

Computational Geometry · Computer Science 2015-04-28 Joseph S. B. Mitchell , Valentin Polishchuk , Mikko Sysikaski , Haitao Wang

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Multi-label learning is a rapidly growing research area that aims to predict multiple labels from a single input data point. In the era of big data, tasks involving multi-label classification (MLC) or ranking present significant and…

Machine Learning · Computer Science 2024-06-27 Adane Nega Tarekegn , Mohib Ullah , Faouzi Alaya Cheikh

Multi-label learning has attracted significant interests in computer vision recently, finding applications in many vision tasks such as multiple object recognition and automatic image annotation. Associating multiple labels to a complex…

Computer Vision and Pattern Recognition · Computer Science 2016-08-05 Hao Yang , Joey Tianyi Zhou , Jianfei Cai
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