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Bipartite ranking, which aims to learn a scoring function that ranks positive individuals higher than negative ones from labeled data, is widely adopted in various applications where sample prioritization is needed. Recently, there have…

Machine Learning · Computer Science 2021-06-08 Sen Cui , Weishen Pan , Changshui Zhang , Fei Wang

We study the clustering of bipartite graphs and Boolean matrix factorization in data streams. We consider a streaming setting in which the vertices from the left side of the graph arrive one by one together with all of their incident edges.…

Machine Learning · Computer Science 2020-12-08 Stefan Neumann , Pauli Miettinen

Reducing the running time of graph algorithms is vital for tackling real-world problems such as shortest paths and matching in large-scale graphs, where path information plays a crucial role. To address this critical challenge, this paper…

Data Structures and Algorithms · Computer Science 2026-04-14 Akshar Chavan , Sanaz Rabinia , Daniel Grosu , Marco Brocanelli

Let $G = (V, E)$ be an undirected graph and let $B \subseteq V \times V$ be a set of terminal pairs. A node/edge multicut is a subset of vertices/edges of $G$ whose removal destroys all the paths between every terminal pair in $B$. The…

Data Structures and Algorithms · Computer Science 2020-09-23 Kazuhiro Kurita , Yasuaki Kobayashi

We characterize the uniqueness condition in the hardcore model for bipartite graphs with degree bounds only on one side, and provide a nearly linear time sampling algorithm that works up to the uniqueness threshold. We show that the…

Data Structures and Algorithms · Computer Science 2023-05-02 Xiaoyu Chen , Jingcheng Liu , Yitong Yin

Fair graph learning plays a pivotal role in numerous practical applications. Recently, many fair graph learning methods have been proposed; however, their evaluation often relies on poorly constructed semi-synthetic datasets or substandard…

Machine Learning · Computer Science 2024-06-19 Xiaowei Qian , Zhimeng Guo , Jialiang Li , Haitao Mao , Bingheng Li , Suhang Wang , Yao Ma

Counting short cycles in bipartite graphs is a fundamental problem of interest in the analysis and design of low-density parity-check (LDPC) codes. The vast majority of research in this area is focused on algorithmic techniques. Most…

Discrete Mathematics · Computer Science 2019-01-10 Ali Dehghan , Amir H. Banihashemi

In this paper, we present a new exact algorithm for counting perfect matchings, which relies on neither inclusion-exclusion principle nor tree-decompositions. For any bipartite graph of $2n$ nodes and $\Delta n$ edges such that $\Delta \geq…

Data Structures and Algorithms · Computer Science 2012-08-14 Taisuke Izumi , Tadashi Wadayama

Training a fair machine learning model is essential to prevent demographic disparity. Existing techniques for improving model fairness require broad changes in either data preprocessing or model training, rendering themselves…

Machine Learning · Computer Science 2021-06-03 Yuji Roh , Kangwook Lee , Steven Euijong Whang , Changho Suh

Link prediction is a crucial task in network analysis, but it has been shown to be prone to biased predictions, particularly when links are unfairly predicted between nodes from different sensitive groups. In this paper, we study the fair…

Machine Learning · Computer Science 2024-09-16 Yezi Liu , Hanning Chen , Mohsen Imani

In the literature of mitigating unfairness in machine learning, many fairness measures are designed to evaluate predictions of learning models and also utilised to guide the training of fair models. It has been theoretically and empirically…

Machine Learning · Computer Science 2024-09-29 Qingquan Zhang , Jialin Liu , Zeqi Zhang , Junyi Wen , Bifei Mao , Xin Yao

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

This paper presents the novel `uniqueness tree' algorithm, as one possible method for determining whether two finite, undirected graphs are isomorphic. We prove that the algorithm has polynomial time complexity in the worst case, and that…

Discrete Mathematics · Computer Science 2016-06-22 Jonathan Gorard

Biclustering is an unsupervised machine-learning approach aiming to cluster rows and columns simultaneously in a data matrix. Several biclustering algorithms have been proposed for handling numeric datasets. However, real-world data mining…

Machine Learning · Computer Science 2024-08-26 Adán José-García , Julie Jacques , Clément Chauvet , Vincent Sobanski , Clarisse Dhaenens

Finding a maximum independent set is a fundamental NP-hard problem that is used in many real-world applications. Given an unweighted graph, this problem asks for a maximum cardinality set of pairwise non-adjacent vertices. Some of the most…

Data Structures and Algorithms · Computer Science 2021-03-30 Demian Hespe , Sebastian Lamm , Christian Schorr

$k$-clique listing is a vital graph mining operator with diverse applications in various networks. The state-of-the-art algorithms all adopt a branch-and-bound (BB) framework with a vertex-oriented branching strategy (called VBBkC), which…

Databases · Computer Science 2024-01-09 Kaixin Wang , Kaiqiang Yu , Cheng Long

Fair predictive algorithms hinge on both equality and trust, yet inherent uncertainty in real-world data challenges our ability to make consistent, fair, and calibrated decisions. While fairly managing predictive error has been extensively…

Machine Learning · Computer Science 2024-10-04 Lucas Rosenblatt , R. Teal Witter

Algorithmic decision making systems are ubiquitous across a wide variety of online as well as offline services. These systems rely on complex learning methods and vast amounts of data to optimize the service functionality, satisfaction of…

Machine Learning · Statistics 2017-03-27 Muhammad Bilal Zafar , Isabel Valera , Manuel Gomez Rodriguez , Krishna P. Gummadi

We consider the problems of finding a maximum clique in a graph and finding a maximum-edge biclique in a bipartite graph. Both problems are NP-hard. We write both problems as matrix-rank minimization and then relax them using the nuclear…

Data Structures and Algorithms · Computer Science 2009-01-22 Brendan Ames , Stephen Vavasis

We consider the problem of deep fair clustering, which partitions data into clusters via the representations extracted by deep neural networks while hiding sensitive data attributes. To achieve fairness, existing methods present a variety…

Machine Learning · Computer Science 2024-03-26 Xiang Zhang