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In this paper, matching pairs of random graphs under the community structure model is considered. The problem emerges naturally in various applications such as privacy, image processing and DNA sequencing. A pair of randomly generated…

Cryptography and Security · Computer Science 2018-11-01 F. Shirani , S. Garg , E. Erkip

The computational singular perturbation (CSP) method is an algorithm which iteratively approximates slow manifolds and fast fibers in multiple-timescale dynamical systems. Since its inception due to Lam and Goussis, the convergence of the…

Dynamical Systems · Mathematics 2019-06-17 Ian Lizarraga , Martin Wechselberger

An active topic in the study of random constraint satisfaction problems (CSPs) is the geometry of the space of satisfying or almost satisfying assignments as the function of the density, for which a precise landscape of predictions has been…

Data Structures and Algorithms · Computer Science 2021-06-25 Jun-Ting Hsieh , Sidhanth Mohanty , Jeff Xu

Despite the highest classification accuracy in wide varieties of application areas, artificial neural network has one disadvantage. The way this Network comes to a decision is not easily comprehensible. The lack of explanation ability…

Computer Vision and Pattern Recognition · Computer Science 2016-10-18 Tameru Hailesilassie

Contrastive deep graph clustering, which aims to divide nodes into disjoint groups via contrastive mechanisms, is a challenging research spot. Among the recent works, hard sample mining-based algorithms have achieved great attention for…

Machine Learning · Computer Science 2023-01-31 Yue Liu , Xihong Yang , Sihang Zhou , Xinwang Liu , Zhen Wang , Ke Liang , Wenxuan Tu , Liang Li , Jingcan Duan , Cancan Chen

A structured variable selection problem is considered in which the covariates, divided into predefined groups, activate according to sparse patterns with few nonzero entries per group. Capitalizing on the concept of atomic norm, a composite…

Machine Learning · Computer Science 2023-11-03 David Gregoratti , Xavier Mestre , Carlos Buelga

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

Finding interesting patterns is a challenging task in data mining. Constraint based mining is a well-known approach to this, and one for which constraint programming has been shown to be a well-suited and generic framework. Dominance…

Artificial Intelligence · Computer Science 2019-10-02 Gökberk Koçak , Özgür Akgün , Tias Guns , Ian Miguel

The discovery of new and interesting patterns in large datasets, known as data mining, draws more and more interest as the quantities of available data are exploding. Data mining techniques may be applied to different domains and fields…

Software Engineering · Computer Science 2012-09-17 Mehdi Adda , Lei Wu , Sharon White , Yi Feng

Mining frequent itemsets is at the core of mining association rules, and is by now quite well understood algorithmically. However, most algorithms for mining frequent itemsets assume that the main memory is large enough for the data…

Databases · Computer Science 2016-08-16 Gösta Grahne , Jianfei Zhu

In an academic environment, student advising is considered a paramount activity for both advisors and student to improve the academic performance of students. In universities of large numbers of students, advising is a time-consuming…

Databases · Computer Science 2014-07-08 Raed Shatnawi , Qutaibah Althebyan , Baraq Ghalib , Mohammed Al-Maolegi

Mapping of spatial hotspots, i.e., regions with significantly higher rates of generating cases of certain events (e.g., disease or crime cases), is an important task in diverse societal domains, including public health, public safety,…

Machine Learning · Statistics 2021-10-12 Yiqun Xie , Shashi Shekhar , Yan Li

Constraint satisfaction problems form a nicely behaved class of problems that lends itself to complexity classification results. From the point of view of parameterized complexity, a natural task is to classify the parameterized complexity…

Data Structures and Algorithms · Computer Science 2023-05-24 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov , Marcin Pilipczuk , Roohani Sharma

Association rules express implication formed relations among attributes in databases of itemsets. The apriori algorithm is presented, the basis for most association rule mining algorithms. It works by pruning away rules that need not be…

Databases · Computer Science 2019-07-24 Niels Mündler

Domain-specific constraint patterns are introduced, which form the counterpart to design patterns in software engineering for the constraint programming setting. These patterns describe the expert knowledge and best-practice solution to…

Software Engineering · Computer Science 2022-06-07 Sophia Saller , Jana Koehler

Probabilistic graphical models are a central tool in AI; however, they are generally not as expressive as deep neural models, and inference is notoriously hard and slow. In contrast, deep probabilistic models such as sum-product networks…

Machine Learning · Computer Science 2019-10-01 Xiaoting Shao , Alejandro Molina , Antonio Vergari , Karl Stelzner , Robert Peharz , Thomas Liebig , Kristian Kersting

Answer Set Programming (ASP) is a problem modeling and solving framework for several problems in KR with growing industrial applications. Also for studies of computational complexity and deeper insights into the hardness and its sources,…

Logic in Computer Science · Computer Science 2023-01-19 Markus Hecher

Characterising tractable fragments of the constraint satisfaction problem (CSP) is an important challenge in theoretical computer science and artificial intelligence. Forbidding patterns (generic sub-instances) provides a means of defining…

Computational Complexity · Computer Science 2023-06-22 Martin C. Cooper , Stanislav Živný

We study the complexity of the Distributed Constraint Satisfaction Problem (DCSP) on a synchronous, anonymous network from a theoretical standpoint. In this setting, variables and constraints are controlled by agents which communicate with…

Data Structures and Algorithms · Computer Science 2021-01-25 Silvia Butti , Victor Dalmau

This article presents the use of Answer Set Programming (ASP) to mine sequential patterns. ASP is a high-level declarative logic programming paradigm for high level encoding combinatorial and optimization problem solving as well as…

Artificial Intelligence · Computer Science 2017-11-15 Thomas Guyet , Yves Moinard , René Quiniou , Torsten Schaub