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There are many problems in machine learning and data mining which are equivalent to selecting a non-redundant, high "quality" set of objects. Recommender systems, feature selection, and data summarization are among many applications of…

Machine Learning · Computer Science 2019-04-19 Mehrdad Ghadiri , Mark Schmidt

In this paper, we present a general framework for efficiently computing diverse solutions to combinatorial optimization problems. Given a problem instance, the goal is to find $k$ solutions that maximize a specified diversity measure; the…

Data Structures and Algorithms · Computer Science 2025-04-25 Yuni Iwamasa , Tomoki Matsuda , Shunya Morihira , Hanna Sumita

Multi-label classification aims to classify instances with discrete non-exclusive labels. Most approaches on multi-label classification focus on effective adaptation or transformation of existing binary and multi-class learning approaches…

Machine Learning · Computer Science 2019-01-03 Piotr Szymański , Tomasz Kajdanowicz , Nitesh Chawla

The Subgraph Matching (SM) problem consists of finding all the embeddings of a given small graph, called the query, into a large graph, called the target. The SM problem has been widely studied for simple graphs, i.e. graphs where there is…

Submodular functions allow to model many real-world optimisation problems. This paper introduces approaches for computing diverse sets of high quality solutions for submodular optimisation problems. We first present diversifying greedy…

Artificial Intelligence · Computer Science 2020-10-23 Aneta Neumann , Jakob Bossek , Frank Neumann

We study the problem of finding a maximum matching in a graph given by an input stream listing its edges in some arbitrary order, where the quantity to be maximized is given by a monotone submodular function on subsets of edges. This…

Data Structures and Algorithms · Computer Science 2013-11-19 Amit Chakrabarti , Sagar Kale

We consider robust submodular maximization problems (RSMs), where given a set of $m$ monotone submodular objective functions, the robustness is with respect to the worst-case (scaled) objective function. The model we consider generalizes…

Optimization and Control · Mathematics 2023-06-12 Hsin-Yi Huang , Hao-Hsiang Wu , Simge Kucukyavuz

Multi-label learning is concerned with the classification of data with multiple class labels. This is in contrast to the traditional classification problem where every data instance has a single label. Due to the exponential size of output…

Machine Learning · Computer Science 2018-12-27 Vikas Kumar , Arun K Pujari , Vineet Padmanabhan , Venkateswara Rao Kagita

In multi-label classification, an instance may be associated with a set of labels simultaneously. Recently, the research on multi-label classification has largely shifted its focus to the other end of the spectrum where the number of labels…

Machine Learning · Computer Science 2016-04-06 Li Li , Houfeng Wang

In real-world applications, as data availability increases, obtaining labeled data for machine learning (ML) projects remains challenging due to the high costs and intensive efforts required for data annotation. Many ML projects,…

Machine Learning · Computer Science 2024-12-24 Ismail Hakki Karaman , Gulser Koksal , Levent Eriskin , Salih Salihoglu

Multi-label submodular Markov Random Fields (MRFs) have been shown to be solvable using max-flow based on an encoding of the labels proposed by Ishikawa, in which each variable $X_i$ is represented by $\ell$ nodes (where $\ell$ is the…

Data Structures and Algorithms · Computer Science 2017-02-21 Thalaiyasingam Ajanthan , Richard Hartley , Mathieu Salzmann

Multilabel classification is an emergent data mining task with a broad range of real world applications. Learning from imbalanced multilabel data is being deeply studied latterly, and several resampling methods have been proposed in the…

Machine Learning · Computer Science 2018-02-15 Francisco Charte , Antonio J. Rivera , María J. del Jesus , Francisco Herrera

In this thesis, we design algorithms for several NP-hard problems in both worst and beyond worst case settings. In the first part of the thesis, we apply the traditional worst case methodology and design approximation algorithms for the Hub…

Data Structures and Algorithms · Computer Science 2018-07-26 Haris Angelidakis

We study two mixed robust/average-case submodular partitioning problems that we collectively call Submodular Partitioning. These problems generalize both purely robust instances of the problem (namely max-min submodular fair allocation…

Data Structures and Algorithms · Computer Science 2016-08-17 Kai Wei , Rishabh Iyer , Shengjie Wang , Wenruo Bai , Jeff Bilmes

Finding diverse solutions to optimization problems has been of practical interest for several decades, and recently enjoyed increasing attention in research. While submodular optimization has been rigorously studied in many fields, its…

Data Structures and Algorithms · Computer Science 2023-07-18 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Recently, many studies have been devoted to finding diverse solutions in classical combinatorial problems, such as Vertex Cover (Baste et al., IJCAI'20), Matching (Fomin et al., ISAAC'20) and Spanning Tree (Hanaka et al., AAAI'21). We…

Data Structures and Algorithms · Computer Science 2024-09-19 Mark de Berg , Andrés López Martínez , Frits Spieksma

The major challenge of learning from multi-label data has arisen from the overwhelming size of label space which makes this problem NP-hard. This problem can be alleviated by gradually involving easy to hard tags into the learning process.…

Machine Learning · Computer Science 2019-10-09 Seyed Amjad Seyedi , S. Siamak Ghodsi , Fardin Akhlaghian , Mahdi Jalili , Parham Moradi

We present new methods for multilabel classification, relying on ensemble learning on a collection of random output graphs imposed on the multilabel and a kernel-based structured output learner as the base classifier. For ensemble learning,…

Machine Learning · Computer Science 2013-11-19 Hongyu Su , Juho Rousu

In this paper a high speed neural network classifier based on extreme learning machines for multi-label classification problem is proposed and dis-cussed. Multi-label classification is a superset of traditional binary and multi-class…

Machine Learning · Computer Science 2016-09-06 Meng Joo Er , Rajasekar Venkatesan , Ning Wang

This paper examines the Balanced Submodular Flow Problem, that is the problem of finding a feasible submodular flow minimizing the difference between the flow values along the edges. A min-max formula is given to the problem and an…

Optimization and Control · Mathematics 2023-09-07 Alpár Jüttner , Eszter Szabó
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