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The maximum labelled clique problem is a variant of the maximum clique problem where edges in the graph are given labels, and we are not allowed to use more than a certain number of distinct labels in a solution. We introduce a new…

Data Structures and Algorithms · Computer Science 2014-11-18 Ciaran McCreesh , Patrick Prosser

Maximizing a submodular function has a wide range of applications in machine learning and data mining. One such application is data summarization whose goal is to select a small set of representative and diverse data items from a large…

Machine Learning · Computer Science 2023-03-10 Jing Yuan , Shaojie Tang

Multi-label classification is an important learning problem with many applications. In this work, we propose a principled similarity-based approach for multi-label learning called SML. We also introduce a similarity-based approach for…

Machine Learning · Statistics 2017-10-31 Ryan A. Rossi , Nesreen K. Ahmed , Hoda Eldardiry , Rong Zhou

We propose a novel Riemannian method for solving the Extreme multi-label classification problem that exploits the geometric structure of the sparse low-dimensional local embedding models. A constrained optimization problem is formulated as…

Optimization and Control · Mathematics 2021-10-01 Jayadev Naram , Tanmay Kumar Sinha , Pawan Kumar

Multi-label classification has received considerable interest in recent years. Multi-label classifiers have to address many problems including: handling large-scale datasets with many instances and a large set of labels, compensating…

Machine Learning · Computer Science 2016-06-21 Amirhossein Akbarnejad , Mahdieh Soleymani Baghshah

Submodular function maximization has found a wealth of new applications in machine learning models during the past years. The related supermodular maximization models (submodular minimization) also offer an abundance of applications, but…

Data Structures and Algorithms · Computer Science 2020-06-25 Mehrdad Ghadiri , Richard Santiago , Bruce Shepherd

We propose a general formulation, called Multi-X, for multi-class multi-instance model fitting - the problem of interpreting the input data as a mixture of noisy observations originating from multiple instances of multiple classes. We…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Daniel Barath , Jiri Matas

Existing multiplex graph models often assume homophily, where connected nodes tend to belong to the same class or share similar attributes. Consequently, these models may struggle with graphs exhibiting heterophily, where connected nodes…

Machine Learning · Computer Science 2026-05-14 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

Graph labeling problems have been widely studied in the last decades and have a vast area of application. In this work, we study the recently introduced S-labeling problem, in which the nodes get labeled using labels from 1 to |V | and for…

Optimization and Control · Mathematics 2019-09-12 Markus Sinnl

One of the most well-known and simplest models for diversity maximization is the Max-Min Diversification (MMD) model, which has been extensively studied in the data mining and database literature. In this paper, we initiate the study of the…

Data Structures and Algorithms · Computer Science 2025-02-05 Iiro Kumpulainen , Florian Adriaens , Nikolaj Tatti

Random forests are among the most famous algorithms for solving classification problems, in particular for large-scale data sets. Considering a set of labeled points and several decision trees, the method takes the majority vote to classify…

Optimization and Control · Mathematics 2025-01-24 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt

We consider the problem of far-field sensing by means of a sensor array. Traditional array geometry design techniques are agnostic to prior information about the far-field scene. However, in many applications such priors are available and…

Information Theory · Computer Science 2018-01-01 Gal Shulkind , Stefanie Jegelka , Gregory W. Wornell

The main result of the paper is motivated by the following two, apparently unrelated graph optimization problems: (A) as an extension of Edmonds' disjoint branchings theorem, characterize digraphs comprising $k$ disjoint branchings $B_i$…

Combinatorics · Mathematics 2017-09-05 Kristóf Bérczi , András Frank

In practical domains, high-dimensional data are usually associated with diverse semantic labels, whereas traditional feature selection methods are designed for single-label data. Moreover, existing multi-label methods encounter two main…

Machine Learning · Computer Science 2025-05-26 Yan Zhong , Xingyu Wu , Xinping Zhao , Li Zhang , Xinyuan Song , Lei Shi , Bingbing Jiang

Graph Neural Networks (GNNs) have shown state-of-the-art improvements in node classification tasks on graphs. While these improvements have been largely demonstrated in a multi-class classification scenario, a more general and realistic…

Machine Learning · Computer Science 2024-03-01 Tianqi Zhao , Ngan Thi Dong , Alan Hanjalic , Megha Khosla

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

Multi-label classification studies the task where each example belongs to multiple labels simultaneously. As a representative method, Ranking Support Vector Machine (Rank-SVM) aims to minimize the Ranking Loss and can also mitigate the…

Machine Learning · Computer Science 2019-11-06 Guoqiang Wu , Ruobing Zheng , Yingjie Tian , Dalian Liu

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

Representing patterns as labeled graphs is becoming increasingly common in the broad field of computational intelligence. Accordingly, a wide repertoire of pattern recognition tools, such as classifiers and knowledge discovery procedures,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-11 Lorenzo Livi

As graph data grows increasingly complicate, training graph neural networks (GNNs) on large-scale datasets presents significant challenges, including computational resource constraints, data redundancy, and transmission inefficiencies.…

Machine Learning · Computer Science 2025-12-05 Liangliang Zhang , Haoran Bao , Yao Ma