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While graphs and abstract data structures can be large and complex, practical instances are often regular or highly structured. If the instance has sufficient structure, we might hope to compress the object into a more succinct…

Computational Complexity · Computer Science 2024-12-02 Shreya Gupta , Boyang Huang , Russell Impagliazzo , Stanley Woo , Christopher Ye

Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

In pattern mining, sequential rules provide a formal framework to capture the temporal relationships and inferential dependencies between items. However, the discovery process is computationally intensive. To obtain mining results…

Databases · Computer Science 2026-02-20 Wensheng Gan , Gengsen Huang , Junyu Ren , Philip S. Yu

Over the years, frequent subgraphs have been an important sort of targeted patterns in the pattern mining literatures, where most works deal with databases holding a number of graph transactions, e.g., chemical structures of compounds.…

Databases · Computer Science 2013-07-26 Jialong Han , Ji-Rong Wen

A central problem in graph mining is finding dense subgraphs, with several applications in different fields, a notable example being identifying communities. While a lot of effort has been put on the problem of finding a single dense…

Data Structures and Algorithms · Computer Science 2019-01-31 Riccardo Dondi , Mohammad Mehdi Hosseinzadeh , Giancarlo Mauri , Italo Zoppis

Detecting maximal square submatrices of ones in binary matrices is a fundamental problem with applications in computer vision and pattern recognition. While the standard dynamic programming (DP) solution achieves optimal asymptotic…

Data Structures and Algorithms · Computer Science 2025-07-22 Swastik Bhandari

Finding frequent itemsets in a data source is a fundamental operation behind Association Rule Mining. Generally, many algorithms use either the bottom-up or top-down approaches for finding these frequent itemsets. When the length of…

Databases · Computer Science 2011-09-13 M. Rajalakshmi , Dr. T. Purusothaman , Dr. R. Nedunchezhian

A drawback of the classic approach for complexity analysis of distributed graph problems is that it mostly informs about the complexity of notorious classes of ``worst case'' graphs. Algorithms that are used to prove a tight (existential)…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Philipp Schneider

Researchers have been facing a difficult problem that data generation mechanisms could be influenced by internal or external factors leading to the training and test data with quite different distributions, consequently traditional…

Machine Learning · Statistics 2021-10-14 Anqi Wu

We consider the problem of sampling from data defined on the nodes of a weighted graph, where the edge weights capture the data correlation structure. As shown recently, using spectral graph theory one can define a cut-off frequency for the…

Information Theory · Computer Science 2014-11-13 Ilan Shomorony , A. Salman Avestimehr

Due to the rapid development of science and technology, the importance of imprecise, noisy, and uncertain data is increasing at an exponential rate. Thus, mining patterns in uncertain databases have drawn the attention of researchers.…

This paper presents a hybrid approach called frequent pattern based search that combines data mining and optimization. The proposed method uses a data mining procedure to mine frequent patterns from a set of high-quality solutions collected…

Discrete Mathematics · Computer Science 2017-10-10 Yangming Zhou , Jin-Kao Hao , Béatrice Duval

Preferences are a pivotal component in practical reasoning, especially in tasks that involve decision-making over different options or courses of action that could be pursued. In this work, we focus on repairing and querying inconsistent…

Databases · Computer Science 2024-05-28 Nina Pardal , Santiago Cifuentes , Edwin Pin , Maria Vanina Martinez , Sergio Abriola

Graph mining applications analyze the structural properties of large graphs, and they do so by finding subgraph isomorphisms, which makes them computationally intensive. Existing graph mining techniques including both custom graph mining…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-09 Kasra Jamshidi , Keval Vora

Constraint-based pattern discovery is at the core of numerous data mining tasks. Patterns are extracted with respect to a given set of constraints (frequency, closedness, size, etc). In the context of sequential pattern mining, a large…

Artificial Intelligence · Computer Science 2013-11-28 Jean-Philippe Métivier , Samir Loudni , Thierry Charnois

The paper focuses on Image Compression, explaining efficient approaches based on Frequent Pattern Mining(FPM). The proposed compression mechanism is based on clustering similar pixels in the image and thus using cluster identifiers in image…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Avinash Kadimisetty , C. Oswald , B. Sivalselvan

We study the recently introduced problem of finding dense common subgraphs: Given a sequence of graphs that share the same vertex set, the goal is to find a subset of vertices $S$ that maximizes some aggregate measure of the density of the…

Data Structures and Algorithms · Computer Science 2018-02-20 Moses Charikar , Yonatan Naamad , Jimmy Wu

The hardness of finite domain Constraint Satisfaction Problems (CSPs) is a very important research area in Constraint Programming (CP) community. However, this problem has not yet attracted much attention from the researchers in the…

Databases · Computer Science 2009-06-30 Chendong Li

Genomic data sets are growing dramatically as the cost of sequencing continues to decline and small sequencing devices become available. Enormous community databases store and share this data with the research community, but some of these…

Recently, graph mining approaches have become very popular, especially in domains such as bioinformatics, chemoinformatics and social networks. In this scope, one of the most challenging tasks is frequent subgraph discovery. This task has…

Databases · Computer Science 2016-08-24 Sabeur Aridhi , Laurent d'Orazio , Mondher Maddouri , Engelbert Mephu Nguifo